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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Cell Dev. Biol.</journal-id>
<journal-title>Frontiers in Cell and Developmental Biology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Cell Dev. Biol.</abbrev-journal-title>
<issn pub-type="epub">2296-634X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fcell.2021.687132</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Cell and Developmental Biology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>High Temporal Resolution 3D Live-Cell Imaging of Budding Yeast Meiosis Defines Discontinuous Actin/Telomere-Mediated Chromosome Motion, Correlated Nuclear Envelope Deformation and Actin Filament Dynamics</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Nozaki</surname> <given-names>Tadasu</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/1280051/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Chang</surname> <given-names>Frederick</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/1324705/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Weiner</surname> <given-names>Beth</given-names></name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Kleckner</surname> <given-names>Nancy</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/425434/overview"/>
</contrib>
</contrib-group>
<aff><institution>Department of Molecular and Cellular Biology, Harvard University</institution>, <addr-line>Cambridge, MA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Akira Shinohara, Osaka University, Japan</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Verena Jantsch, Max F. Perutz Laboratories GmbH, Austria; Kazuhiro Maeshima, National Institute of Genetics, Japan</p></fn>
<corresp id="c001">&#x002A;Correspondence: Nancy Kleckner, <email>kleckner@fas.harvard.edu</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Cell Growth and Division, a section of the journal Frontiers in Cell and Developmental Biology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>11</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>9</volume>
<elocation-id>687132</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>03</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>10</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Nozaki, Chang, Weiner and Kleckner.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Nozaki, Chang, Weiner and Kleckner</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>Chromosome movement is prominent at mid-meiotic prophase and is proposed to enhance the efficiency and/or stringency of homolog pairing and/or to help prevent or resolve topological entanglements. Here, we combine fluorescent repressor operator system (FROS) labeling with three-dimensional (3D) live-cell imaging at high spatio-temporal resolution to define the detailed kinetics of mid-meiotic prophase motion for a single telomere-proximal locus in budding yeast. Telomere motions can be grouped into three general categories: (i) pauses, in which the telomere &#x201C;jiggles in place&#x201D;; (ii) rapid, straight/curvilinear motion which reflects Myo2/actin-mediated transport of the monitored telomere; and (iii) slower directional motions, most of which likely reflect indirectly promoted motion of the monitored telomere in coordination with actin-mediated motion of an unmarked telomere. These and other findings highlight the importance of dynamic assembly/disassembly of telomere/LINC/actin ensembles and also suggest important roles for nuclear envelope deformations promoted by actin-mediated telomere/LINC movement. The presented low-SNR (signal-to-noise ratio) imaging methodology provides opportunities for future exploration of homolog pairing and related phenomena.</p>
</abstract>
<kwd-group>
<kwd>3D time-lapse imaging</kwd>
<kwd>chromosome motion</kwd>
<kwd>FROS</kwd>
<kwd>telomere</kwd>
<kwd>actin</kwd>
<kwd>homolog pairing</kwd>
<kwd>meiosis</kwd>
</kwd-group>
<contract-sponsor id="cn001">Foundation for the National Institutes of Health<named-content content-type="fundref-id">10.13039/100000009</named-content></contract-sponsor>
<counts>
<fig-count count="4"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="67"/>
<page-count count="15"/>
<word-count count="12432"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="S1">
<title>Introduction</title>
<p>Meiosis is the specialized cell cycle program which produces gametes with half the ploidy of their progenitor cells, thereby compensating for genome doubling at mating. This outcome is accomplished by occurrence of a single round of DNA replication followed by two rounds of chromosome segregation, meiosis I (MI) and meiosis II (MII). Homologous chromosomes (&#x201C;homologs&#x201D;) segregate to opposite poles at meiosis I. Sister chromatids then separate at meiosis II. Crossovers, the products of programmed homologous recombination, in combination with sister arm cohesion, allow the generation of tension between homologous chromosomes at metaphase of MI. This, in turn, ensures accurate distribution of homologs to opposite poles (<xref ref-type="bibr" rid="B66">Zickler and Kleckner, 1999</xref>, <xref ref-type="bibr" rid="B67">2015</xref>).</p>
<p>Homologs achieve the configuration necessary for MI by a complex program of interactions that occupy a prolonged prophase stage. A major requirement of this program is that the homologs come close together in space, becoming aligned side-by-side (<xref ref-type="bibr" rid="B67">Zickler and Kleckner, 2015</xref>). During this process, two general problems must be addressed: (1) How can homologs meet one another on a reasonable time scale? This outcome requires both recognition of homology, e.g., via local events of DNA recombination, and global juxtaposition of whole chromosomes along their lengths. (2) What mechanism ensures the topological regularity of the pairing process so as to avoid or eliminate interlocks, entanglements, or ectopic pairing or non-homologous pairing (<xref ref-type="bibr" rid="B56">Storlazzi et al., 2010</xref>)?</p>
<p>With respect to time scale, the challenges of meiotic homolog pairing are illustrated by comparison with protein/DNA interactions. Proteins must scan the DNA information in the chromosomes to find their cognate binding sites (e.g., as for repressor proteins and transcriptional factors). By comparison, homology searching by chromosomes seems more difficult, from several points of view. First, the speed of chromosome motion in the eukaryotic G1 nucleus, as defined by analysis of movements of individually tagged loci over time, appears to be conserved, with diffusion coefficients ranging from 10<sup>&#x2013;4</sup> to 10<sup>&#x2013;3</sup> &#x03BC;m<sup>2</sup>/s (<xref ref-type="bibr" rid="B33">Marshall et al., 1997</xref>; <xref ref-type="bibr" rid="B20">Heun et al., 2001</xref>; <xref ref-type="bibr" rid="B59">Vazquez et al., 2001</xref>; <xref ref-type="bibr" rid="B11">Chubb et al., 2002</xref>; <xref ref-type="bibr" rid="B15">Dion et al., 2012</xref>; <xref ref-type="bibr" rid="B37">Min&#x00E9;-Hattab and Rothstein, 2012</xref>). This movement is much slower than that of proteins that are freely and three-dimensionally diffusing in the nucleus to identify their targets (10<sup>0</sup>&#x2013;10<sup>2</sup> &#x03BC;m<sup>2</sup>/s; e.g., <xref ref-type="bibr" rid="B34">Mazza et al., 2012</xref>; <xref ref-type="bibr" rid="B7">Chen et al., 2014</xref>; <xref ref-type="bibr" rid="B21">Izeddin et al., 2014</xref>; <xref ref-type="bibr" rid="B41">Normanno et al., 2015</xref>). Second, for protein/DNA interactions, many copies of the involved protein are searching for the target in parallel whereas, for meiotic chromosome pairing, there is only one pair of homologous chromosomes. Thus, the possibilities for parallel searches are more limited (discussion in <xref ref-type="bibr" rid="B56">Storlazzi et al., 2010</xref>).</p>
<p>In addition, both protein/DNA interactions and homolog pairing must solve the &#x201C;speed-stability paradox&#x201D; (<xref ref-type="bibr" rid="B55">Slutsky and Mirny, 2004</xref>). In brief, there is a tradeoff between the speed of searching and the stability required to ensure the desired cognate interaction. That is, for chromosomes, the same issue arises: homologs must be able to identify one another accurately without becoming trapped in nearly homologous interactions (<xref ref-type="bibr" rid="B23">Kleckner and Weiner, 1993</xref>; <xref ref-type="bibr" rid="B5">Bitran et al., 2017</xref>). In accord with these complexities, analysis of RecA-mediated homology recognition between a DNA locus and complementary oligonucleotide reveals that the rate of homologous pairing at the DNA level, which underlies meiotic homologous pairing (<xref ref-type="bibr" rid="B67">Zickler and Kleckner, 2015</xref>) is not rate-limited by the search for DNA homology (<xref ref-type="bibr" rid="B63">Yancey-Wrona and Camerini-Otero, 1995</xref>).</p>
<p>With respect to topological issues: entanglements/interlocks, and ectopic pairing between non-homologous chromosomes will impede the completion of homologous pairing and recombination and, eventually, clean segregation of homologous pairs at MI (<xref ref-type="bibr" rid="B65">Zickler, 2006</xref>; <xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="bibr" rid="B60">Wanat et al., 2008</xref>). In fact, a modest number of topological interlockings are seen at the late leptotene and zygotene stages; however, they disappear during the pachytene stage, indicating that they can ultimately be resolved (<xref ref-type="bibr" rid="B61">Wettstein et al., 1984</xref>; <xref ref-type="bibr" rid="B56">Storlazzi et al., 2010</xref>).</p>
<p>These diverse challenges to homolog pairing seem severe. However, there are cellular mechanisms which help in overcoming them. One such mechanism is dynamic chromosome motion mediated by cytoskeletal forces exerted on telomeres through the nuclear envelope (described below). The current study focuses on the nature of these dynamic motions in budding yeast.</p>
</sec>
<sec id="S2">
<title>Background</title>
<p>The first evidence of vigorous movements of chromosomes during meiotic prophase was found in rat spermatocytes (<xref ref-type="bibr" rid="B44">Parvinen and S&#x00F6;derstr&#x00F6;m, 1976</xref>). By now, prophase movement has been described in a wide variety of organisms, albeit with some variations among different cases (e.g., <xref ref-type="bibr" rid="B8">Chikashige et al., 1994</xref>, <xref ref-type="bibr" rid="B9">2006</xref> in fission yeast; <xref ref-type="bibr" rid="B49">Scherthan et al., 2007</xref>; <xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>; <xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref> in budding yeast, <xref ref-type="bibr" rid="B53">Sheehan and Pawlowski, 2009</xref> in maize, <xref ref-type="bibr" rid="B10">Christophorou et al., 2015</xref> in <italic>Drosophila</italic>, <xref ref-type="bibr" rid="B54">Shibuya et al., 2014</xref>; <xref ref-type="bibr" rid="B30">Lee et al., 2015</xref> in mouse, <xref ref-type="bibr" rid="B48">Sato et al., 2009</xref>; <xref ref-type="bibr" rid="B2">Baudrimont et al., 2010</xref>; <xref ref-type="bibr" rid="B62">Wynne et al., 2012</xref>; <xref ref-type="bibr" rid="B32">Link et al., 2018</xref> in <italic>C. elegans</italic>). These movements have been proposed, variously, to promote homologous chromosome pairing, to reduce ectopic homologous pairing or pairing between near-homologous regions, and/or to resolve chromosome interlocks and entanglements (<xref ref-type="bibr" rid="B27">Koszul and Kleckner, 2009</xref>; <xref ref-type="bibr" rid="B2">Baudrimont et al., 2010</xref>; <xref ref-type="bibr" rid="B29">Lee et al., 2012</xref>; <xref ref-type="bibr" rid="B62">Wynne et al., 2012</xref>; <xref ref-type="bibr" rid="B31">Link and Jantsch, 2019</xref>). In accord with such possibilities, ectopic recombination and inappropriate telomere interactions are increased in budding yeast when motion is abrogated (<xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>; <xref ref-type="bibr" rid="B29">Lee et al., 2012</xref>) and in fission yeast when telomere clustering (a component of motion in that organism) is absent (<xref ref-type="bibr" rid="B40">Niwa et al., 2000</xref>; <xref ref-type="bibr" rid="B14">Davis and Smith, 2006</xref>). And in <italic>C. elegans</italic>, abrogation of motion results in inefficient pairing and entanglements (<xref ref-type="bibr" rid="B45">Penkner et al., 2007</xref>; <xref ref-type="bibr" rid="B48">Sato et al., 2009</xref>).</p>
<p>In most studied cases, vigorous meiotic prophase chromosome movement is generated by the linkage of chromosome ends to the cytoskeleton (reviewed in <xref ref-type="bibr" rid="B27">Koszul and Kleckner, 2009</xref>; <xref ref-type="bibr" rid="B31">Link and Jantsch, 2019</xref>). In such processes, mechanical forces of the cytoskeleton are transmitted to the telomeres through the nuclear membrane. Force transduction is provided by the Linker of Nucleoskeleton and Cytoskeleton (LINC) complexes, which is composed of inner nuclear membrane SUN domain proteins and outer nuclear membrane KASH domain proteins. Telomeres interact with SUN proteins, and KASH proteins bind to the cytoskeleton.</p>
<p>In budding yeast, dynamic prophase movement is dependent on the actin cytoskeleton (<xref ref-type="bibr" rid="B49">Scherthan et al., 2007</xref>; <xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>; <xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>). In this case, actin fibers are seen to &#x201C;hug&#x201D; the outer surface of the nuclear envelope in a curved path and telomeres are seen to move along those fibers, sometimes even after the fibers are no longer associated with the nucleus (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figures 1A,C</xref>; below). Visualization of whole pachytene chromosomes has also revealed that active movement of one telomere is accompanied by coordinate, spatially coordinated movements of other nearby chromosomes, often comprising half or more of the chromosome complement, whose motions are therefore &#x201C;indirect&#x201D; effects (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>). All of these motions are eliminated in the presence of Latrunculin B (&#x201C;LatB&#x201D;), a drug that prevents actin fiber polymerization by binding to actin monomers (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>).</p>
<p>Five molecules other than actin have also been implicated in actin-mediated motion (<xref ref-type="bibr" rid="B16">Fan et al., 2020</xref>; <xref ref-type="bibr" rid="B28">Lee et al., 2020</xref>). Ndj1 is a meiosis-specific protein that connects the telomere to the LINC complex via Mps3, a SUN domain protein that spans the nuclear membrane. Mps2 and Csm4 are related coiled coil proteins that interact with one another and mediate linkage of Mps3 to myosin Myo2 which, in turn, interacts with actin. Mutations that delete or alter any one of the involved proteins causes a severe reduction of rapid chromosome movement at mid-meiotic prophase and a delay in homolog pairing (<xref ref-type="bibr" rid="B13">Conrad et al., 2007</xref>, <xref ref-type="bibr" rid="B12">2008</xref>; <xref ref-type="bibr" rid="B49">Scherthan et al., 2007</xref>; <xref ref-type="bibr" rid="B25">Kosaka et al., 2008</xref>; <xref ref-type="bibr" rid="B60">Wanat et al., 2008</xref>; <xref ref-type="bibr" rid="B29">Lee et al., 2012</xref>, <xref ref-type="bibr" rid="B28">2020</xref>; <xref ref-type="bibr" rid="B16">Fan et al., 2020</xref>). Importantly, in mitotically dividing yeast cells, Myo2 mediates the transport of several different types of cargos along actin fibers (e.g., <xref ref-type="bibr" rid="B3">Beach et al., 2000</xref>; <xref ref-type="bibr" rid="B51">Schott et al., 2002</xref>). In the meiotic situation, this cargo comprises the entire nuclear envelope-embedded LINC complex as well as Ndj1 and its associated chromosome. Correspondingly, telomere movement is accompanied by nuclear envelope deformations nucleated at the telomere attachment site (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; below).</p>
<p>In the present study, we studied telomere motion in budding yeast using FROS (fluorescent repressor operator system) labeling (<xref ref-type="bibr" rid="B46">Robinett et al., 1996</xref>; <xref ref-type="bibr" rid="B57">Straight et al., 1996</xref>; <xref ref-type="bibr" rid="B33">Marshall et al., 1997</xref>; <xref ref-type="bibr" rid="B20">Heun et al., 2001</xref>) plus a unique methodology for 3D live-cell imaging and spot detection at high spatio-temporal resolution and low signal-to-noise ratio (SNR), as developed in our laboratory (<xref ref-type="bibr" rid="B6">Chang, 2018</xref>). Trajectories of single labeled telomeres were defined in 3D at 500 ms intervals over total time spans of 6 min. This approach provides a previously unavailable description of the detailed dynamics of an individual telomere during meiotic mid-prophase. For comparison, we analogously examined telomere movements at premeiotic G1/G0 and in selected mutant situations (details in section &#x201C;Materials and Methods&#x201D; and below).</p>
<p>Concomitantly, the boundary of the nucleus, and thus by implication the nuclear envelope, was visualized using a general nuclear signal, with the position of the labeled telomere locus localized relative to that signal. Meiotic prophase actin filament dynamics were also visualized, thus allowing assessment of their contribution to net telomere movement. The presented findings provide new information regarding the nature of actin-mediated chromosome motions in this system.</p>
</sec>
<sec id="S3" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S3.SS1">
<title>Yeast Strains</title>
<p><italic>Saccharomyces cerevisiae</italic> strains are <italic>MATa/MAT&#x03B1;</italic> derivatives of wild-type SK1 as follows: <italic>scp1::tetO array::LEU2</italic>/<italic>SCP1, leu2::URA3p-TetR-mEGFP::LEU2/leu2::hisG</italic> (TNY570); <italic>scp1::tetO array::LEU2</italic>/<italic>SCP1, leu2::URA3p-TetR-mEGFP::LEU2/leu2::hisG</italic>, <italic>ndj1</italic>&#x0394;<italic>/ndj1</italic>&#x0394; (TNY669), <italic>ABP140-4xGFP::KanMX</italic>/<italic>ABP140-4xGFP::KanMX</italic> (YKK389), <italic>SPC42-YFP::URA</italic>/<italic>SPC42</italic> (TNY866). TetO array system is based on <xref ref-type="bibr" rid="B22">Kim et al. (2010)</xref>.</p>
</sec>
<sec id="S3.SS2">
<title>Meiotic Time Course</title>
<p>All operations were performed at 30&#x00B0;C. Strains maintained in glycerol stock at &#x2212;80&#x00B0;C are patched onto YEPG plates (3% w/v glycerol, 2% w/v bactopeptone, 1% w/v yeast extract, 2% w/v bactoagar) overnight. Cells were struck out to single colonies on YEPD plates (2% w/v bactopeptone, 1% w/v yeast extract, 2% w/v glucose, 2% w/v bactoagar) and grown for 2 days. A single colony is transferred to 4 ml YEPD liquid medium (2% w/v bactopeptone, 1% w/v yeast extract, 2% w/v glucose) and grown overnight. A 1/100 dilution of the culture was made with YEPA medium (1% w/v potassium acetate, 2% w/v bactopeptone, 1% w/v yeast extract, 2 drops per liter antifoam) and grown for 13.5 h. Meiosis was initiated by transfer of cells to 1% sporulation medium (SPM) (1% w/v potassium acetate, 0.02% w/v raffinose, 2 drops per liter antifoam). We note that this series of preparation conditions is specifically defined in such a way that, at the time of transfer to the SPM, cells have completed ongoing mitotic cell cycles and are becoming larger without initiating a new mitotic cycle and thus are present primarily as large unbudded cells. Upon transfer to SPM, this population initiates meiosis synchronously and efficiently (e.g., <xref ref-type="bibr" rid="B22">Kim et al., 2010</xref>).</p>
</sec>
<sec id="S3.SS3">
<title>Chemical Treatment of Meiotic Cells</title>
<p>Latrunculin B (LatB) was from Santa Cruz Biotechnology Inc. and was dissolved in dimethyl-sulfoxide (DMSO). LatB was added to a final concentration of 30 &#x03BC;M at 2 h after initiation of meiosis by transfer to SPM and imaged after an additional 2 h (<italic>t</italic> = 4 h of meiosis).</p>
</sec>
<sec id="S3.SS4">
<title>Live-Cell Imaging</title>
<p>Cell samples from an experimental culture were vortexed at full speed and 1 &#x03BC;l quickly spread onto a glass base dish (MatTek) coated with Concanavalin A (ConA). A premade agarose pad (1%) was placed on top of the cell drop and excess media was absorbed by a piece of Kimwipe. Cells were observed at 30&#x00B0;C using a Ti microscope (Nikon) equipped with GFP filters (Semrock), a sCMOS camera (Hamamatsu Photonics), and a piezo device (Physik Instrumente) for acquiring Z stacks. Cells were exposed to the LED light (Lumencor) through an objective lens (60&#x00D7; PlanApo, NA 1.40; Nikon). The microscopy system was controlled, and images were acquired, through &#x03BC;-Manager software and MATLAB.</p>
<p>For short time scaled imaging, movies of 15 z-stack steps with 389-nm step size and 720 sequential frames were acquired using &#x03BC;-Manager software with 25 ms exposure time and 8.3 ms camera acquisition time, totaling 500 ms for one set of z-stack images. For long timescale imaging, movies of 13 z-stack steps with 389-nm step size were acquired using &#x03BC;-Manager software with 10 ms exposure time and 16.6 ms camera acquisition time. Z-stacks were acquired at 1 min interval for 10 h, giving a total of 601 z-stack images.</p>
<p>Images were denoised quantitatively by a home-made program that accurately defines the presence and positions of fluorescent spots at very low signal-to-noise ratios (<xref ref-type="bibr" rid="B6">Chang, 2018</xref>). This algorithm dramatically extends the ability to capture many images over long periods of time, as illustrated in this work. Spots were detected and tracked by ImageJ Fiji plug-in TrackMate (<xref ref-type="bibr" rid="B50">Schindelin et al., 2012</xref>; <xref ref-type="bibr" rid="B58">Tinevez et al., 2017</xref>). The distribution of spot displacements per time interval and the mean square displacement (MSD) of the fluorescent signals were calculated in 3D based on this TrackMate data. The MSD was calculated by the following formula. MSD = &#x003C;(<italic>X</italic><sub><italic>t</italic></sub> &#x2212; <italic>X</italic><sub><italic>t</italic> + &#x0394;<italic>t</italic></sub>)<sup>2</sup>&#x003E;. <italic>X</italic><sub><italic>t</italic></sub> was the three-dimensional position of a fluorescent spot at time t (<xref ref-type="bibr" rid="B52">Seeber et al., 2013</xref>). The multi-component Gaussian mixture model is fitted to the step size data of the spot motion using mixtools in R packages (<xref ref-type="bibr" rid="B4">Benaglia et al., 2009</xref>). To eliminate the influence of large step size (Group 1, see below) to the 5 s interval analysis, the &#x00B1; 10 frames (5 s) from the frame that shows the large step in 500 ms were eliminated. We note that, due to specific features of our imaging system and spot detection algorithm, the spatial precision of spot detection in our system is high and that there is no detectable photobleaching or phototoxicity, as discussed in the text and also in <xref ref-type="supplementary-material" rid="DS1">Supplementary Notes</xref>.</p>
</sec>
<sec id="S3.SS5">
<title>Fixed-Cell Imaging</title>
<p>For fixed cell analysis, cells were transferred to 4% paraformaldehyde at 4 h after initiation of meiosis as described above. Cells were then spun down and the cell pellet was resuspended in 0.1 M potassium phosphate for imaging. Other procedures are the same as for live-cell imaging.</p>
</sec>
</sec>
<sec sec-type="results" id="S4">
<title>Results</title>
<p>To measure telomere-led chromosome movement, we constructed a diploid strain in which one chromosome carries a sub-telomeric fluorescent tag. The <italic>SCP1</italic> locus is located 64 kb from the right arm telomere of chromosome XV. An array of binding sites (<italic>tetO</italic>) for the tetracycline resistance repressor was inserted into one chromosome of a strain also carrying that repressor fused to mEGFP (TetR-mEGFP), giving a fluorescent focus corresponding to <italic>scp1::tetO</italic>/TetR-mEGFP (<xref ref-type="fig" rid="F1">Figure 1A</xref>). Motion of the tagged locus was defined by imaging of the corresponding fluorescent spot in 3D (<xref ref-type="fig" rid="F1">Figure 1B</xref>) at 500 ms intervals, typically for a total of 6 min (section &#x201C;Materials and Methods&#x201D;). We note that the approaches we use allow us to accurately define the position of a fluorescent spot, to &#x223C;0.040 &#x03BC;m in the X and Y dimensions and &#x223C;0.075 &#x03BC;m in the Z dimension. The accuracy of our imaging system and spot detection were estimated by imaging of the fixed cells and calculating the standard deviation of the detected spot position (see &#x201C;Materials and Methods,&#x201D; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figures 2A,B</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Note</xref>; <xref ref-type="bibr" rid="B43">Nozaki et al., 2013</xref>; <xref ref-type="bibr" rid="B36">Min&#x00E9;-Hattab et al., 2017</xref>). These values, which we consider to be the upper bound of localization accuracy, are lower than the 500 ms step sizes observed in any of data reported below, implying that the movements described below faithfully reflect actual telomere movement.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>4D imaging of telomere trajectories. <bold>(A)</bold> Chromosome labeling of the <italic>SCP1</italic> locus with TetR-mEGFP. The end of only one chromosome (chromosome XV) in a diploid cell is labeled. <bold>(B)</bold> The scheme of 3D live-cell imaging in budding yeast. <bold>(C,D)</bold> Kymographs of representative cells tracked in 3D at <italic>t</italic> = 0 h (<bold>C</bold>; pre-meiotic G1/G0) and at <italic>t</italic> = 4 h (<bold>D</bold>; mid-meiotic prophase) cultured in SPM. 3D images are captured once per 500 ms. <bold>(E,F)</bold> Trajectories of the fluorescent spots shown in <bold>(C,D)</bold> as tracked in 3D at pre-meiotic G1/G0 (<italic>t</italic> = 0 h) <bold>(E)</bold> and at meiotic prophase (<italic>t</italic> = 4 h) <bold>(F)</bold>. <bold>(G,H)</bold> MSD curves of the tagged <italic>SCP1</italic> locus in cells at pre-meiotic G1/G0 (G; <italic>n</italic> = 10 cells) and at meiotic prophase (H; <italic>n</italic> = 17 cells). <bold>(I&#x2013;N)</bold> Kymographs, representative trajectories, MSD curves for <italic>ndj1&#x0394;</italic> mutant cell(s) (<bold>I,K,M</bold>; <italic>n</italic> = 10 cell) and LatB-treated cell(s) (<bold>J,L,N</bold>; <italic>n</italic> = 10 cells) exactly as in the corresponding <bold>(C,E,G)</bold>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcell-09-687132-g001.tif"/>
</fig>
<sec id="S4.SS1">
<title>Motion Is Dynamic at Mid-Prophase as Compared to Premeiotic G1/G0</title>
<p>Telomere motion was examined analogously in premeiotic G1/G0 cells (defined as large unbudded cells observed immediately upon transfer to sporulation medium; &#x201C;Materials and Methods,&#x201D; i.e., <italic>t</italic> = 0 h, <xref ref-type="fig" rid="F1">Figures 1C,E,G</xref>) and in meiotic prophase cells observed at <italic>t</italic> = 4 h after initiation of meiosis, the time at which dramatic chromosome movements are known to occur (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; see <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 4</xref> and <xref ref-type="fig" rid="F1">Figures 1D,F,H</xref>). Parallel control experiments confirm that cells are at late zygotene or early pachytene at this time, as judged by Zip1-GFP patterns (T.N. unpublished).</p>
<p>In accord with previous observations, telomere motion is limited at pre-meiotic G1/G0 (<italic>t</italic> = 0 h) and dramatic at meiotic mid-prophase (<italic>t</italic> = 4 h). This difference is qualitatively apparent in representative kymographs which show the position of the spot as projected onto the X-, Y-, or Z-plane over a 3 min time period (<xref ref-type="fig" rid="F1">Figure 1C</xref> vs. <xref ref-type="fig" rid="F1">Figure 1D</xref>) and in corresponding 3D trajectories (<xref ref-type="fig" rid="F1">Figure 1E</xref> vs. <xref ref-type="fig" rid="F1">Figure 1F</xref>). At G1/G0, the telomere locus never moves far from its starting point in 3 min (<xref ref-type="fig" rid="F1">Figure 1E</xref>) while at mid-prophase, it traverses distances comparable to the diameter of the nucleus (&#x223C;2 &#x03BC;m) (<xref ref-type="fig" rid="F1">Figure 1F</xref>).</p>
<p>The difference between the two situations can be described quantitatively. Plots of mean square displacement (MSD) over time are widely used with single-particle tracking to quantify chromatin and chromosome dynamics (<xref ref-type="bibr" rid="B20">Heun et al., 2001</xref>; <xref ref-type="bibr" rid="B47">Sage et al., 2005</xref>; <xref ref-type="bibr" rid="B37">Min&#x00E9;-Hattab and Rothstein, 2012</xref>; <xref ref-type="bibr" rid="B18">Hajjoul et al., 2013</xref>; <xref ref-type="bibr" rid="B42">Nozaki et al., 2017</xref>). For normal diffusion, the MSD of a tracked &#x201C;spot&#x201D; varies linearly with time. In contrast, at both G1/G0 and mid-prophase, the marked telomere exhibits a rising curve which reaches a plateau. This behavior, referred to as &#x201C;anomalous diffusion,&#x201D; implies that the movement of the tracked particle is somehow constrained, with the distance reached at the plateau defined as the &#x201C;radius of constraint&#x201D; (Rc) (<xref ref-type="bibr" rid="B39">Neumann et al., 2012</xref>). Confinement is severe at G1/G0 (Rc = 0.64 &#x03BC;m; <xref ref-type="fig" rid="F1">Figure 1G</xref>, <italic>n</italic> = 10 cells). Interestingly, this pattern is very similar to that observed by analogous MSD analysis in yeast mitotic interphase cells (<xref ref-type="bibr" rid="B47">Sage et al., 2005</xref>). Confinement is much less severe at mid-prophase, with Rc = 1.46 &#x03BC;m, roughly comparable to the diameter of the nucleus (<xref ref-type="fig" rid="F1">Figure 1H</xref>, <italic>n</italic> = 17 cells), in accord with the fact that telomeres are actively moved around the nuclear periphery during this period (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>). The mid-prophase MSD curve also rises more sharply than the G1/G0 MSD curve. This difference implies that the telomere locus tends to move farther in a given period of time in mid-prophase vs. G1/G0, in accord with the presence and absence of active actin/Myo2-mediated movements in the two situations, respectively.</p>
</sec>
<sec id="S4.SS2">
<title>Meiotic Prophase Telomere Motions Are Driven by Actin/Telomere Linkage</title>
<p>Mid-prophase telomere motions are substantially reduced by deletion of meiotic telomere protein Ndj1 (which connects telomeres to the LINC complex; Background) (<italic>ndj1&#x0394;</italic>; <xref ref-type="fig" rid="F1">Figures 1I,K,M</xref>). These movements are also dramatically reduced by treatment with LatB, which blocks actin polymerization (<xref ref-type="fig" rid="F1">Figures 1J,L,N</xref>). Thus, as expected, the dynamic prophase motions of telomere-located <italic>scp1::tetO</italic>-TetR observed at mid-prophase are derived from the force generated by the linkage of the telomere to cytoskeletal actin fiber(s) via LINC complexes.</p>
<p>Interestingly, the overall behavior of telomeres in <italic>ndj1&#x0394;</italic> is similar to that observed at G1/G0 (compare <xref ref-type="fig" rid="F1">Figures 1I,K</xref> with <xref ref-type="fig" rid="F1">Figures 1C,E</xref>; further discussion below). Also, the effect of LatB is more severe than that of <italic>ndj1&#x0394;</italic>, perhaps because telomeres are now locked onto immobile LINC complexes rather than being free of such complexes.</p>
</sec>
<sec id="S4.SS3">
<title>Analysis of Mid-Prophase Telomere Movement Reveals Three General Categories of Motion</title>
<sec id="S4.SS3.SSS1">
<title>Background</title>
<p>All previous studies identify occasional (sporadic) extremely rapid, straight/curvilinear telomere movements which occur over very short time period and are attributable to direct transport of a monitored telomere along an actin filament (e.g., <xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>; <xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="bibr" rid="B29">Lee et al., 2012</xref>, <xref ref-type="bibr" rid="B28">2020</xref>; Discussion). Additional insight is provided by analysis of whole pachytene chromosomes in which the movements of many/most chromosomes were directly visualized simultaneously over time (e.g., <xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>). Such images reveal three types of telomere motion (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>). First, one telomere may move rapidly in a highly directed fashion over a very short time period (&#x223C;3 s) corresponding to transport of this &#x201C;lead&#x201D; telomere along an actin fiber. Second, this movement is accompanied by coordinate movement of a multiple chromosome group in the same direction as the &#x201C;lead&#x201D; telomere, with accompanying dramatic changes in overall nucleus shape. These coordinated motions comprise a second type of actin-dependent telomere motion which, however, is promoted indirectly by directly promoted motion of the &#x201C;lead&#x201D; telomere. Third, even despite the above progressions, many chromosomes (and thus their telomeres) do not move. Importantly, for given monitored telomere as in the present study, indirectly promoted movements can be provoked by any of the other (unmonitored) 31 telomeres (16 chromosomes x 2 telomeres) in the nucleus and thus will be much more frequent than sporadic direct transport movement. The same is true for pauses which, at any given moment, pertain to many telomeres (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>) and thus will occupy a substantial lifetime of any one monitored telomere. For convenience, we refer to the telomere motions in these three conditions as &#x201C;directly promoted,&#x201D; &#x201C;indirectly promoted,&#x201D; and &#x201C;pause.&#x201D;</p>
</sec>
<sec id="S4.SS3.SSS2">
<title>Two Approaches to Analysis of Mid-Prophase Telomere Motion</title>
<p>We were interested to understand whether telomere motions as detected by spot tracking could be seen to comprise distinct categories, e.g., as revealed by whole chromosome analysis (above).</p>
<p>- In one approach we analyzed the distributions of distances traveled by the monitored telomere over intervals of 500 ms and 5 s (11 image frames). 500 ms step sizes, being shorter, give a clearer impression of the intrinsic rate of telomere movement. 5 s step sizes, in contrast, reflect not only the intrinsic rate of movement but the extent to which that movement is or is not &#x201C;directed.&#x201D; Without directionality, sequential steps are randomly oriented and the telomere remains close(r) to its starting point after 5 s. If motion is in any manner directional, sequential steps tend to occur in the same direction and the telomere tends to move farther from its starting point in 5 s, in relation to the straightness of the trajectories.</p>
<p>- In a second approach we inspected movies of 3D projections visually to determine whether any specific trajectory patterns might reproducibly appear out of the generally chaotic motions, thereby identifying different distinct &#x201C;motion phenotypes.&#x201D;</p>
<p>The former approach has the advantage of considering the totality of the data. The latter approach has the advantage of including spatio-temporal information, i.e., the added dimensions of multi-step trajectory and duration, neither of which appear as inputs into step-size analysis. In addition, this approach allows the biological situation to highlight particularly clear or prominent types of movement.</p>
<p>Both approaches reveal the same underlying reality: the majority of telomere movements and trajectories fall into three broad categories which correspond to one another and to the three general categories expected on the basis of whole chromosome analysis as described above.</p>
</sec>
<sec id="S4.SS3.SSS3">
<title>Categories of Telomere Movements as Revealed by Step Size Analysis</title>
<p>We compared mid-prophase telomere motions in wild type meiosis with those in <italic>ndj1&#x0394;</italic>, where telomeres are not associated with LINC complexes and are thus not subject to either direct or indirect effects of actin/Myo2-mediated movement. In <italic>ndj1&#x0394;</italic>, the array of distances of movement over time shows a low baseline of 0.1 &#x03BC;m and 0.2 &#x03BC;m at 500 ms and 5 s intervals, respectively (<xref ref-type="fig" rid="F2">Figure 2A</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 3A</xref>). Motions at G1/G0, where telomere/LINC associations are also absent, are very similar (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figures 3B,E</xref>). In striking contrast, in wild type meiotic mid-prophase, step sizes fluctuate dramatically over time, from 0 to 1 &#x03BC;m for 500 ms intervals and 0&#x2013;3 &#x03BC;m for 5 s intervals (<xref ref-type="fig" rid="F2">Figure 2D</xref>). The most dramatic motions are comparable to those observed previously for individual tracked telomeres (<xref ref-type="bibr" rid="B29">Lee et al., 2012</xref>, <xref ref-type="bibr" rid="B28">2020</xref>); the smallest motions are comparable to those observed in <italic>ndj1&#x0394;</italic>; and many distances fall between these two extremes, at both step sizes.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Categorization of meiotic prophase telomere motion. <bold>(A)</bold> Representative 3D displacement pattern for 3 min with 500 ms step (turquoise) and 5 s step (orange) in <italic>ndj1&#x0394;</italic> cells at <italic>t</italic> = 4 h. <bold>(B,C)</bold> Distribution of distances traveled (step size) over 500 ms (<bold>B</bold>, mean = 0.14 &#x03BC;m) and 5 s intervals (<bold>C</bold>, mean = 0.26 &#x03BC;m) plotted with Gaussian model in <italic>ndj1&#x0394;</italic> cells at <italic>t</italic> = 4 h (<italic>n</italic> = 10 cells). <bold>(D)</bold> Representative 3D displacement pattern for 3 min with 500 ms step (turquoise) and 5 s step (orange) in WT cells at <italic>t</italic> = 4 h (mid-prophase). <bold>(E&#x2013;G)</bold> Distribution of distances traveled over 500 ms [<bold>E</bold>, mean = 0.16 &#x03BC;m (cyan, Group2+Group3) and 0.38 &#x03BC;m (red, Group 1)], 5 s intervals [<bold>F</bold>, mean = 0.27 &#x03BC;m (blue, Group 2) and 0.59 &#x03BC;m, (green. Group 3)], and 5 s intervals [<bold>G</bold>, mean = 0.28 &#x03BC;m (blue, Group 2), mean = 0.61 &#x03BC;m (green, Group 3), and mean = 1.16 &#x03BC;m (purple)] plotted with the two or three component Gaussian mixture model in wild type cells at = 4 h (<italic>n</italic> = 17 cells). In <bold>(F)</bold>, the trajectories that include &#x003E;0.38 &#x03BC;m/500 ms (Group 1) were eliminated. In <bold>(G)</bold>, the trajectories classified in purple include at least one step from Group 1 eliminated in <bold>(F)</bold>. <bold>(H)</bold> The proportion of the Group 1, 2, and 3 estimated from <bold>(E,F)</bold>. <bold>(I)</bold> The projection images of the totality of positions observed in the XY plane over the duration of the trajectory for these three types, &#x201C;pause&#x201D; (top), &#x201C;directed motion&#x201D; (middle), and &#x201C;straight motion&#x201D; (bottom) are illustrated. The scale bar is 2 &#x03BC;m. Bottom left includes two continuous straight motion with the abrupt turn. <bold>(J&#x2013;L)</bold> Comparison between distributions of distances traveled (step sizes) for the three types of mid-prophase motion over 500 ms <bold>(J)</bold> and 5 s intervals <bold>(K)</bold>. Comparison between MSD curves for the three types of prophase motion <bold>(L)</bold> (<italic>n</italic> = 17 trajectories in pause, <italic>n</italic> = 18 trajectories in directed motion, <italic>n</italic> = 28 trajectories in straight motion from 7 cells). <bold>(M&#x2013;O)</bold> Three representative series of trajectories for a tracked telomere locus at meiotic prophase (<italic>t</italic> = 4 h). &#x201C;Pause&#x201D; = jiggling spot (blue). &#x201C;Straight motion&#x201D; = rapid motion in a straight/slightly curved trajectory (red). &#x201C;Directed motion&#x201D; = directional movement with a &#x201C;zig-zag&#x201D; path rather than a straight path (green). Vertical bars indicate the duration of each trajectory segment. Total imaging time represented was &#x223C;30, 35, and 7 s, respectively. A single asterisk (&#x002A;) indicates a sharp change in direction. A large arrow indicates transition of the motion (recoil motion) (see text). The blue arrow in <bold>(M)</bold> indicates the trajectory in <bold>(I)</bold> left top. The red arrow in <bold>(M,N)</bold> indicates the trajectory in <bold>(I)</bold> left bottom and right bottom, respectively. The green arrow in <bold>(N)</bold> indicates the trajectory in <bold>(I)</bold> left middle.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcell-09-687132-g002.tif"/>
</fig>
<p>For <italic>ndj1&#x0394;</italic>, at both 500 ms and 5 s intervals, total step sizes exhibit the single-peaked curve, well-fitted by a Gaussian model, with average distances traveled of 0.14 &#x03BC;m/500 ms and 0.26 &#x03BC;m/5 s, respectively (<xref ref-type="fig" rid="F2">Figures 2B,C</xref>). Motions at G1/G0 are very similar (0.19 &#x03BC;m/500 ms and 0.32 &#x03BC;m/5 s, respectively; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figures 3C,D</xref>). In both cases, the marked telomere is moving relatively slowly and without directionality, i.e., is essentially &#x201C;jiggling in place&#x201D; (e.g., <xref ref-type="fig" rid="F1">Figures 1E,K</xref>). These patterns provide a baseline description of mid-prophase telomere movement in the absence of telomere-LINC association. Similar results were observed in LatB-treated cells but with even a bit smaller step sizes than wild type cells (0.13 &#x03BC;m/500 ms and 0.20 &#x03BC;m/5 s, respectively, <xref ref-type="supplementary-material" rid="DS1">Supplementary Figures 3F&#x2013;I</xref>).</p>
<p>For wild type telomere motion, the distribution of 500 ms step sizes exhibits a prominent peak with a mean value of 0.16 &#x03BC;m, plus a discernible tail of much greater movement with a mean value of 0.38 &#x03BC;m. This pattern is well-described by a corresponding two-component Gaussian mixture model (<xref ref-type="fig" rid="F2">Figure 2E</xref>). The component corresponding to the minor tail (denoted &#x201C;Group 1&#x201D;) exhibits a very large step size, corresponding to those seen previously and attributed to direct actin-mediated transport (above; <xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>; <xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="bibr" rid="B29">Lee et al., 2012</xref>, <xref ref-type="bibr" rid="B28">2020</xref>). In contrast, the major subcomponent distribution exhibits a relatively small average step size which is very similar to that observed for <italic>ndj1&#x0394;</italic>.</p>
<p>To further dissect the nature of this latter majority group of motions, we eliminated the subset of very large steps (&#x003E;0.38 &#x03BC;m/500 ms) from the total data set (see &#x201C;Materials and Methods&#x201D;) and analyzed the distribution of 5 s step sizes for the remaining (vast majority of) motions. A broad distribution emerges which is well-fitted by a two-component Gaussian mixture model. One component has a mean step size (0.27 &#x03BC;m) which again corresponds to the 5 s step size of <italic>ndj1&#x0394;</italic> (0.26 &#x03BC;m) while the other has a larger mean step size (0.59 &#x03BC;m) (&#x201C;Group 2&#x201D; and &#x201C;Group 3,&#x201D; respectively; <xref ref-type="fig" rid="F2">Figure 2F</xref>). Thus, over longer (5 s) intervals, the telomere often exhibits <italic>ndj1&#x0394;</italic>-like behavior but also frequently travels significantly farther than in the <italic>ndj1&#x0394;</italic> case (<xref ref-type="fig" rid="F2">Figures 2C,F</xref>). Since all of these motions had similar 500 ms step sizes (above), the difference between the two categories can be attributed to different tendencies for straightness of motion. In the Group 2 component, telomeres are &#x201C;jiggling in place&#x201D; as in <italic>ndj1&#x0394;</italic> and in the Group 3 component, telomeres are exhibiting significantly more directed motion. Importantly, the fact that the second component is absent in <italic>ndj1&#x0394;</italic> further implies that it reflects actin-dependent movement.</p>
<p>When taken together, these analyses define three categories of motion (Groups 1, 2, and 3). In accord with these interpretations, the distribution of 5 s step sizes for the totality of all data, including very fast 500 ms movements, can be fitted by a corresponding three-component Gaussian mixture model which now includes a set of step sizes that are dramatically larger than those of Groups 2 and 3 (<xref ref-type="fig" rid="F2">Figure 2G</xref>). The data further show that rapid movements (Group 1) are rare, comprising &#x223C;17% of total imaging time while the other two categories are both quite frequent, comprising 52% and 30% of total imaging time, respectively (<xref ref-type="fig" rid="F2">Figure 2H</xref>).</p>
<p>The properties of these three groups directly match those predicted from whole chromosome analysis. Group 1 motions, which are very rapid, highly directional and rare, correspond to directly promoted Myo2/actin-mediated transport of the monitored telomere. Group 2 motions, which are abundant, slow, and non-directional, analogous to <italic>ndj1&#x0394;</italic> &#x201C;jiggling in place,&#x201D; correspond to motions of telomeres which are paused. Group 3 motions are abundant and directional, but only modestly so as compared to directly promoted motions (Group 1). These are the features predicted for indirectly promoted effects driven by directly mediated motion of an unmarked telomere. Notably, also, telomeres spend the vast majority of the time in Group 2 and Group 3 (&#x223C;80%), which have the same or very similar 500 ms step sizes. This correspondence is directly explained by the inferred assignments. The only difference between the two categories is whether a telomere is not, or is, being subjected to indirect forces from movement of an unmonitored telomere. Thus, their intrinsic motions are expected to be the same, but with a modest directional bias for Group 3.</p>
</sec>
<sec id="S4.SS3.SSS4">
<title>Categories of Telomere Movements as Revealed by &#x201C;Motion Phenotypes&#x201D;</title>
<p>Visual inspection of 3D movies of telomere motion in wild type mid-prophase revealed three distinct patterns of motion that were clearly detectable above the background of other fluctuations. Two of these &#x201C;motion phenotypes&#x201D; are visually obvious because they exhibit specific diagnostic patterns that persist over long periods.</p>
<sec id="S4.SS3.SSS4.Px1">
<title>Pauses</title>
<p>A telomere is, to the eye, essentially immobile over 5&#x2013;15 s (10&#x2013;30 frames) (<xref ref-type="fig" rid="F2">Figure 2I</xref> top panels and <xref ref-type="fig" rid="F2">Figures 2M,N</xref> blue). This is the same phenotype observed for <italic>ndj1&#x0394;</italic> where, however, it persists for the entire duration of the movie (<xref ref-type="fig" rid="F1">Figure 1K</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 3A</xref>). This phenotype corresponds to that defined as pausing of telomere motion observed in whole chromosome analysis. Correspondingly, the 500 ms and 5 s step sizes of these visually identified pause periods correspond closely to those observed for <italic>ndj1&#x0394;</italic> and for wild type Group 2 in step-size analysis of total data sets (<xref ref-type="fig" rid="F2">Figures 2J,K</xref> blue vs. <xref ref-type="fig" rid="F2">Figures 2B,C,E&#x2013;G</xref>).</p>
</sec>
<sec id="S4.SS3.SSS4.Px2">
<title>Directed Motion</title>
<p>A telomere moves relatively slowly in a straight or curvilinear path that again lasts for 5&#x2013;15 s (<xref ref-type="fig" rid="F2">Figure 2I</xref> middle panels and <xref ref-type="fig" rid="F2">Figures 2M&#x2013;O</xref> green). This phenotype corresponds to the motions of telomeres seen during indirectly mediated motion in whole chromosome analysis (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>). Correspondingly, the 500 ms and 5 s step sizes of these trajectories correspond closely to those observed for wild type Group 3 in step-size analysis of total data sets (<xref ref-type="fig" rid="F2">Figures 2J,K</xref> green vs. <xref ref-type="fig" rid="F2">Figures 2B,C,E&#x2013;G</xref>).</p>
</sec>
<sec id="S4.SS3.SSS4.Px3">
<title>Straight Motion</title>
<p>A third type of motion is obvious to the eye because it involves a very distinctive type of movement: very fast, very straight/curvilinear motion through a substantial distance in a single multi-frame a trajectory that lasts only &#x223C;3 s or less (<xref ref-type="fig" rid="F2">Figure 2I</xref> bottom panels). These spatio-temporal properties match the defining properties of actin-mediated movement in all types of studies (above). Correspondingly, the 500 ms step sizes for straight motions correspond to those defined above as wild type Group 1 (<xref ref-type="fig" rid="F2">Figure 2J</xref> red and <xref ref-type="fig" rid="F2">Figure 2E</xref>). In fact, on a per-frame basis, the trajectories that fall into this category mostly comprise exactly the same steps as those which comprise the wild type Group 1 component (data not shown). We also note that, while most of these trajectories are too short to define 5 s step sizes, their contributions to the distribution of 5 s step sizes in the total data set are nonetheless manifested in a third component to the Gaussian mixture model (<xref ref-type="fig" rid="F2">Figure 2G</xref>, purple). Moreover, we can infer that the step size of that third component is a substantial underestimate because any 5 s step size that includes directly mediated motion will also include other type(s) of movement.</p>
<p>The MSD relationships for these three phenotypic classes also correspond to the expected descriptions, with highly constrained, modestly constrained, and completely unconstrained motion, respectively (<xref ref-type="fig" rid="F2">Figure 2L</xref>).</p>
</sec>
</sec>
<sec id="S4.SS3.SSS5">
<title>Synthesis</title>
<p>Two independent approaches, each with unique strengths and weaknesses, converge on a single conclusion: telomere movements as defined by spot-tracking at high spatio-temporal resolution can, to the first approximation, be explained by three distinct modes of telomere movement which also correspond to those manifested in whole chromosome images obtained in an earlier study (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>): directly promoted Myo2/actin-mediated movement; pauses in which the telomere &#x201C;jiggles in place&#x201D;; and periods when the monitored telomere is being moved due to indirect effects resulting from directly promoted movement of an unmonitored telomere.</p>
</sec>
</sec>
<sec id="S4.SS4">
<title>Whole Nucleus Motions Occur but Are Rare and Do Not Explain Most Telomere Movements</title>
<p>It is well known that cytoskeletal forces can also provoke whole nucleus movements during meiotic prophase (e.g., in budding yeast, <xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>). To evaluate the potential contribution of such movements to telomere locus dynamics, we tracked the SPB component SPC42, tagged with YFP (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>). Since the SPB is embedded in the nuclear envelope throughout prophase (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>), its motions are often used to define whole nucleus movements within the cell in meiosis (<xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>) and in mitotic cells (<xref ref-type="bibr" rid="B20">Heun et al., 2001</xref>). This analysis suggests that whole-nucleus movements do not contribute significantly to either &#x201C;directed&#x201D; or &#x201C;straight&#x201D; motions; however, they likely account for some of the motions seen as &#x201C;pauses.&#x201D; This conclusion is validated by three findings:</p>
<list list-type="simple">
<list-item>
<label>(i)</label>
 <p>500 ms step sizes of SPB are small (0.11 &#x03BC;m/500 ms), even slightly smaller on average than for pauses (0.14 &#x03BC;m/500 ms; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2D</xref> left vs. <xref ref-type="fig" rid="F2">Figure 2J</xref> blue).</p>
 </list-item>
<list-item>
<label>(ii)</label>
 <p>5 s step sizes of SPB (0.31 &#x03BC;m/5 s) are similar on average to those of pauses (0.29 &#x03BC;m/500 ms). Interestingly, this distribution is skewed to lower values with a tail of slightly higher values, in accord with occasional more extensive movement (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2D</xref> right vs. <xref ref-type="fig" rid="F2">Figure 2K</xref> blue).</p>
 </list-item>
<list-item>
<label>(iii)</label>
 <p>MSD curves for SPB trajectories are usually flat, similar to those of pauses (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2E</xref> compared with <xref ref-type="fig" rid="F2">Figure 2L</xref> blue), although there are rare exceptions (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 2E</xref>, asterisks).</p>
 </list-item>
</list>
<p>Finally, we note that additional global whole nucleus movements may tend to occur over longer time scales than the 6 min duration of imaging used in the present analysis.</p>
</sec>
<sec id="S4.SS5">
<title>Telomere-Nuclear Envelope Association Is Always Present</title>
<p>Previous time-lapse data of prophase movements indicated that telomeres remain associated with the nuclear envelope during periods of movement and during pauses (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>). We now show that this association is maintained throughout the entire progression of complex motions described above. Here, the 3D outline of the nucleus can be defined by the &#x201C;fuzz&#x201D; of fluorescence from TetR-mEGFP that is nuclear localized but not specifically bound to the chromosomes that reflects its overall nuclear localization (<xref ref-type="fig" rid="F3">Figures 3A&#x2013;C</xref>). Three-dimensional reconstructions show that during the mid-prophase dynamic motion period (<italic>t</italic> = 4 h), the tagged telomere locus is attached to (or closely associated with) the nuclear periphery at all times, irrespective of whether it is exhibiting straight, directed or paused motion (as defined by visual inspection; <xref ref-type="fig" rid="F3">Figures 3D,H,I</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Interplay between telomeres and nuclear envelope. <bold>(A&#x2013;C)</bold> Analysis of a representative nucleus showing the definition of the nucleus, based on the nuclear fuzz (red) that is derived from the unbound TetR-mEGFP in the nucleus, and thus the nuclear periphery (NP; black line) plus the position of the spot corresponding to <italic>scp1::tetO</italic>-TetR-mEGFP. <bold>(A)</bold> 3D representation. <bold>(B)</bold> Projections onto the XY, XZ, and YZ planes. <bold>(C)</bold> Interpretation. <bold>(D&#x2013;I)</bold> Projected images of the nuclear region and tagged <italic>SCP1</italic> locus with the nature of spot motion (above; horizontal arrows). Sequences in <bold>(D,H,I)</bold> are from the trajectories shown in <xref ref-type="fig" rid="F2">Figures 2M&#x2013;O</xref>, respectively. Scale bar is 2 &#x03BC;m.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcell-09-687132-g003.tif"/>
</fig>
<p>Interestingly, the telomere is also associated with the nuclear periphery in the <italic>ndj1&#x0394;</italic> mutant (<xref ref-type="fig" rid="F3">Figure 3E</xref>). The same is true during premeiotic G1/G0 (<xref ref-type="fig" rid="F3">Figure 3G</xref>) and is also known to be the case for telomeres in mitotic cells (<xref ref-type="bibr" rid="B47">Sage et al., 2005</xref>). In all three cases, such association is independent of the meiosis-specific LINC complex, which is absent in <italic>ndj1&#x0394;</italic> (<xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>) and unformed during pre-meiosis and in mitotic cells. This condition of LINC-independent nuclear envelope association can thus be inferred to underlie the &#x201C;jiggling in place&#x201D; movements observed in all three situations. By extension, telomeres might also be in this state during paused and indirectly promoted movements in wild type meiosis (Discussion). Telomeres also remain associated with the nuclear surface in LatB treated cells (<xref ref-type="fig" rid="F3">Figure 3F</xref>). Whether telomeres remain associated with LINC complexes in this condition or not remains to be determined. It is possible that absence of an actin filament triggers disassembly of LINC complexes to give <italic>ndj1&#x0394;-</italic>like associations with the nuclear periphery also in this situation (Discussion).</p>
</sec>
<sec id="S4.SS6">
<title>Nuclear Envelope Deformations and Telomere Recoil</title>
<p>We sometimes observe cases in which a period of straight telomere movement is immediately followed by a rapid reverse motion (<xref ref-type="fig" rid="F2">Figures 2O</xref>, <xref ref-type="fig" rid="F3">3I</xref>, large arrow). These &#x201C;transition&#x201D; effects are reminiscent of the previously described &#x201C;recoil&#x201D; of FROS-tagged loci (<xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>). We further find that a transition involving such reverse motion is accompanied by change in the shape of the nuclear surface (<xref ref-type="fig" rid="F2">Figures 2M</xref>, <xref ref-type="fig" rid="F3">3H</xref>, large arrow). The nucleus initially elongates concomitantly with, and in the same direction as, an outward-directed straight telomere movement; then, beginning at the time of telomere recoil, the nucleus returns to its normal, roughly spherical, shape. We suggest that a complex between a telomere/LINC/nuclear envelope becomes attached to a nucleus-hugging actin fiber and then follows that fiber away from the nucleus, dragging the associated nuclear envelope region with it. If the telomere complex is then released from the actin filament, the result would be recoil of the telomere and restoration of nuclear shape. A general association of nuclear shape changes at points of telomere attachment (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>) and during rapid prophase chromosome movements (<xref ref-type="bibr" rid="B12">Conrad et al., 2008</xref>) have been described previously. Among these are cases of long actin-mediated nuclear protrusions with (or without) an associated orphan chromosome (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>). In such cases, pulling on the nuclear envelope results in separation of the nuclear membrane from constraining features to give a long &#x201C;membrane tube.&#x201D; We suggest that the global telomere-linked nuclear deformations identified in the current analysis could be a major factor in limiting the duration of direct Myo2/actin-promoted telomere motion and an important contributor to indirectly promoted telomere movements (Discussion).</p>
</sec>
<sec id="S4.SS7">
<title>During Meiotic Prophase, Actin Fibers Move Dynamically Within the Nucleus While Concomitantly Undergoing Treadmilling</title>
<p>Movement of an actin-linked telomere through space will be the net result of the combined effects of Myo2-mediated tracking along an actin fiber and motion of the actin fiber itself. To further elucidate the contributions of the latter effect, we visualized ABP140-GFP signals in mid-prophase of meiosis.</p>
<p>Visualization of actin fibers in mitotic cells of budding yeast has defined two types of movement: dynamic movements of filaments through 3D space and treadmilling, in which subunits are added to one end and lost from the other (<xref ref-type="bibr" rid="B64">Yang and Pon, 2002</xref>). The two types of dynamics can be defined and distinguished by analysis of local strongly staining regions which provide fiduciary marks (<xref ref-type="bibr" rid="B64">Yang and Pon, 2002</xref>). Movement of the actin fiber through space (irrespective of treadmilling) is indicated by movement of a fiduciary mark. Treadmilling is implied by changes in the lengths of the fiber segments on either side of the fiduciary mark, with growth at the (+) end and shortening at the (&#x2212;) end. In the present study, by applying analogous methods, we could see both types of processes occurring during meiotic prophase.</p>
<p>We observed movement of a fiduciary mark, and thus the actin fiber, at &#x223C;0.29 &#x03BC;m per sec and 0.26 &#x03BC;m per sec (<xref ref-type="fig" rid="F4">Figure 4A</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1A</xref>). This is close to the 0.52 &#x03BC;m/s movement reported in mitotic cells (<xref ref-type="bibr" rid="B64">Yang and Pon, 2002</xref>). Movements in mitotic/meiotic cells include cases in which the actin fibers are associated either along the outer nuclear periphery, presumptively by association with the outer nuclear membrane (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1C</xref>), or along the cell periphery, in accord with the well-known association of actin with the plasma membrane (<xref ref-type="bibr" rid="B38">Moseley and Goode, 2006</xref>). These dual localizations are illustrated here for meiotic prophase by an example in which an actin fiber moves from association with the edge of the cell (defined by cellular &#x201C;fuzz&#x201D;) to the outer surface of the nucleus (defined by the absence of cellular &#x201C;fuzz&#x201D;) (<xref ref-type="fig" rid="F4">Figure 4C</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>Actin fibers in meiotic prophase undergo movement and treadmilling at meiotic prophase (<italic>t</italic> = 4 h). <bold>(A&#x2013;C)</bold> 2D projected images of actin fibers labeled by ABP140-GFP (green) plus the entire cellular region as defined by non-specifically bound GFP signal (orange). In <bold>(A,B)</bold>, a local intensity comprising a fiduciary mark is indicated by a gold arrow. In <bold>(B)</bold>, one end of an elongating actin fiber is indicated by a blue arrow. In <bold>(C)</bold>, the periphery of the nucleus, and thus the nuclear membrane, is defined by absence of cellular &#x201C;fuzz.&#x201D; Cartoons of these features are shown below. In <bold>(A)</bold>, the fiduciary mark moves 1.16 &#x03BC;m during the interval from 0 to 4 s (0.29 &#x03BC;m/s). In <bold>(B)</bold> The length between the fiduciary mark and the end of the actin fiber extends 1.82 &#x03BC;m from 0 to 5 s (0.36 &#x03BC;m/s) and the fiduciary mark is essentially immobile (position change of 0.07 &#x03BC;m/s). <bold>(C)</bold> The actin fiber movement from the plasma membrane to the nuclear envelope, which is the dark region (red). Scale bar is 5 &#x03BC;m.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcell-09-687132-g004.tif"/>
</fig>
<p>Finally, we can also observe treadmilling. Here, the distance between a fiduciary mark and the one end of a filament increased at &#x223C;0.36 &#x03BC;m per sec and &#x223C;0.15 &#x03BC;m per sec (<xref ref-type="fig" rid="F4">Figure 4B</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1A</xref>), similarly to the &#x223C;0.3 &#x03BC;m/s rate defined for this process in mitotic cells (<xref ref-type="bibr" rid="B64">Yang and Pon, 2002</xref>). We note, however, that (contrary to previous considerations; <xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="bibr" rid="B28">Lee et al., 2020</xref>), treadmilling cannot contribute to telomere movement, because addition/subtraction at the ends of a filament will not affect the position of a centrally positioned telomere/LINC/Myo2/actin complex.</p>
</sec>
</sec>
<sec sec-type="discussion" id="S5">
<title>Discussion</title>
<p>Dynamic movements of chromosomes at mid-prophase of meiosis are the result of cytoskeleton-mediate motions of chromosome ends, an effect that requires transduction of forces through the nuclear envelope. Here, 3D low SNR imaging in budding yeast has allowed visualization of meiotic telomere movement over extended time periods at high resolution in time and space. Analysis of telomere displacements vs. time plus spatio-temporal analysis of trajectories define three categories of motion which can be directly related to telomere behaviors manifested by per-nucleus whole chromosome motions as described previously: directly promoted Myo2/actin-mediated movement; pauses in which the telomere &#x201C;jiggles in place&#x201D;; and periods when the monitored telomere is being moved due to indirect effects resulting from directly promoted movement of an unmonitored telomere. Detailed consideration of these three types of movement raises several interesting issues. In addition, these studies are enabled by a new method for low SNR imaging which has broad potential for further elucidation of chromosome dynamics in yeast and other systems.</p>
<sec id="S5.SS1">
<title>Myo2-Mediated Active Transport</title>
<p>A marked telomere sporadically undergoes fast, brief, straight/curvilinear motion. Myosin protein Myo2, which translocates along actin fibers, has been implicated as a major mediator of prophase movements (<xref ref-type="bibr" rid="B28">Lee et al., 2020</xref>). The movements defined in the present study as Group 1 by step-size analysis and as &#x201C;straight&#x201D; motion in phenotypic analysis, match those attributed to direct, active Myo2/actin-mediated transport in other systems. We observe average speeds of telomere movement of &#x223C;0.5 &#x03BC;m per 500 ms step, with speeds as high as &#x223C;1.3 &#x03BC;m per 500 ms step observed in some cases (<xref ref-type="fig" rid="F2">Figures 2E,J</xref>). The speed of Myo2-mediated motion along a filament varies with its cargo, but has been reported to be as high as &#x223C;1&#x2013;3 &#x03BC;m/s in mitotic cells (<xref ref-type="bibr" rid="B3">Beach et al., 2000</xref>; <xref ref-type="bibr" rid="B51">Schott et al., 2002</xref>).</p>
<p>We also demonstrate that actin fiber localization is as dynamic during meiotic prophase as previously reported for mitotic cells. This is important because the speed of a particular Myo2-mediated event will reflect the combined rates of directional Myo2 tracking along an actin fiber, from the + end to the &#x2212; end of the filament (<xref ref-type="bibr" rid="B17">F&#x00F6;rtsch et al., 2011</xref>), and of movement of the fiber itself. Thus, actin fiber movement may either add to, or subtract from, the Myo2 tracking rate. This interplay is likely an important contributor to the range of rates of motion observed for very fast (directly promoted) telomere movements.</p>
<p>We also note that myosins are capable of smoothly negotiating actin fiber branches or switching smoothly from one fiber to another, without apparent disruption of movement (<xref ref-type="bibr" rid="B19">Hammer and Wu, 2007</xref>). Such effects could explain cases in which two straight trajectories are linked by an abrupt turn (e.g., <xref ref-type="fig" rid="F2">Figure 2M</xref>, single asterisk).</p>
</sec>
<sec id="S5.SS2">
<title>What Are Telomeres Doing When They Are Not Engaged in Active Transport?</title>
<p>The current analysis provides further evidence that Myo2/actin-mediated motion is, for a given telomere, quite sporadic. Step size analysis suggests that these motions occupy only &#x223C;17% of the telomere&#x2019;s life (<xref ref-type="fig" rid="F2">Figure 2H</xref>). This finding matches previous evidence from whole chromosome analysis which also suggests that, at any given moment, among the &#x223C;32 telomeres within a given mid-prophase nucleus, only one or two are undergoing actin-mediated motion (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>; <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>). This feature, which is likely important for the <italic>in vivo</italic> roles of motion, is not unexpected given that actin fibers only contact the nuclear periphery in a few places and transiently.</p>
<p>These considerations also emphasize the important fact that a given individual telomere spends most of its time in a &#x201C;resting state&#x201D; where it may be either motionless (&#x201C;paused&#x201D;) or undergoing passive motion promoted indirectly by direct actin-mediated motion of some other (nearby) telomere (&#x201C;indirect movement&#x201D;). In the current study, the marked telomere spends &#x223C;85% of its time in one or the other of these states. Moreover, telomeres exhibit the same rates of movement (as defined by 500 ms step sizes) in both conditions. This correspondence suggests, as might be expected <italic>a priori</italic>, that the only difference between these two states is whether the monitored telomere is, or is not, subjected to indirect effects from active movement of some other telomeres.</p>
<p>Two further, related questions thus arise:</p>
<list list-type="simple">
<list-item>
<label>(1)</label>
 <p>What is the state of the (many) telomeres that are not undergoing direct, actin-mediated movement? The presented findings show that these telomeres exhibit 500 ms step sizes which are similar or identical to those observed in an <italic>ndj1&#x0394;</italic> mutant. Since telomeres are not associated with LINC complexes in this mutant, the simplest hypothesis is that the same is true for telomeres in the &#x201C;resting state.&#x201D;</p>
 </list-item>
<list-item>
<label>(2)</label>
 <p>How do the molecular ensembles that undergo Myo2/actin-mediated motion manage to assemble? Several lines of evidence point to concerted assembly of telomere/Ndj1&#x2013; LINC&#x2014;Myo2&#x2014;actin complexes (<xref ref-type="bibr" rid="B13">Conrad et al., 2007</xref>, <xref ref-type="bibr" rid="B12">2008</xref>; <xref ref-type="bibr" rid="B49">Scherthan et al., 2007</xref>; <xref ref-type="bibr" rid="B25">Kosaka et al., 2008</xref>; <xref ref-type="bibr" rid="B60">Wanat et al., 2008</xref>; <xref ref-type="bibr" rid="B29">Lee et al., 2012</xref>, <xref ref-type="bibr" rid="B28">2020</xref>; <xref ref-type="bibr" rid="B16">Fan et al., 2020</xref>). Furthermore, it would be sensible if such complexes only assembled when the possibility of actin-mediated motion exists. Thus, an interesting possibility could be that assembly of the necessary complexes, including capture of telomeres by a LINC ensemble, is triggered by direct contact between an actin filament and the nuclear envelope.</p>
 </list-item>
</list>
</sec>
<sec id="S5.SS3">
<title>Significance and Basis of Telomere Transport-Mediated Nuclear Shape Deformations</title>
<p>Simultaneous visualization of telomere position and nuclear shape has provided new information regarding the interplay of actin-mediated telomere movement and nuclear shape. We can document cases in which Myo2/actin-mediated movement of the monitored telomere is correlated with, and apparently responsible for, global nuclear envelope deformation. The same relationship is prominent in whole chromosome analysis where telomere-led motion results in indirect movement of multiple nearby chromosomes, thereby changing the entire shape of the chromosome complement and thus, presumptively, the nuclear envelope (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>). The phenomenon of global nuclear envelope deformation raises two important questions.</p>
<list list-type="simple">
<list-item>
<label>(1)</label>
 <p>Directly promoted telomere movements are always very transient. What limits the duration of these events? Myo2-transported LINC/telomere complex will necessarily drag with it the associated nuclear envelope segment. Thus, the extent/duration of active transport might be limited by resistance from associated nuclear envelope deformation. The yeast nuclear envelope should be sufficiently coherent to resist Myo2-mediated pulling forces despite the absence of lamins (<xref ref-type="bibr" rid="B35">Meseroll and Cohen-Fix, 2016</xref>; <xref ref-type="bibr" rid="B1">Agrawal and Lele, 2020</xref>).</p>
 </list-item>
<list-item>
<label>(2)</label>
 <p>What is the basis for global deformations of nuclear shape? Nuclear shape changes are correlated with movements of multiple chromosomes that occur as an indirect consequence of telomere-led actin-mediated movements (above). We further show here that, after telomere-led nucleus elongation, release of that telomere from the actin fiber results in rapid recoil of the telomere and an associated return of the nuclear envelope to a less-deformed state (<xref ref-type="fig" rid="F3">Figure 3H</xref> and <xref ref-type="supplementary-material" rid="DS1">Supplementary Figure 1B</xref>). We previously proposed that coordinate motion results from intra-chromosomal linkages among the involved chromosomes (<xref ref-type="bibr" rid="B26">Koszul et al., 2008</xref>). By this hypothesis, nuclear envelope shape changes would result indirectly from changes in chromosome relationships. However, we can now suggest the alternative possibility that telomere-led nuclear envelope deformation results in correlated movement of other non-actin-associated telomeres and thereby promotes their coordinate motions without involvement of direct inter-chromosomal connectedness. Another interesting phenomenon revealed by the motion phenotype analysis</p>
 </list-item>
</list>
<list list-type="simple">
<list-item><p>is that the trajectories of indirectly promoted movement last longer (5&#x2013;15 s) than those of the directly promoted motion (&#x223C;3 s) by which they are provoked. This distinction could be explained by the viscoelasticity of the secondary motions, which can be expected from the properties of either (both) the nuclear envelope and/or inter-chromosomal connections.</p>
 </list-item>
</list>
</sec>
<sec id="S5.SS4">
<title>Low Signal-to-Noise Ratio Imaging Methodology</title>
<p>The methodology used in the current study depends on specialized imaging methods and a novel denoising algorithm in which a two-stage maximum likelihood pipeline is used to accurately detect very faint spots (<xref ref-type="bibr" rid="B24">Kleckner and Chang, 2017</xref>; <xref ref-type="bibr" rid="B6">Chang, 2018</xref>). These approaches have significant advantages with respect to those described previously for both short time-scale and long time-scale imaging. In the present study we mainly exploited short this method for spot detection for rapid imaging over time scales of minutes (&#x223C;500 ms per single 3D stack for &#x223C;6 min). However, it is now technically possible to carry out long time-scale 3D imaging from pre-meiotic G1/G0 to the MI/MII divisions and beyond, over a period of up to 10 h or more, with 3D images taken at 1 min intervals and with low photobleaching and low phototoxicity (<xref ref-type="supplementary-material" rid="DS1">Supplementary Figures 4A&#x2013;C</xref>). In addition, two-color 3D imaging is also possible, both for short and long-time scales. Our methods should thus provide a powerful tool to further investigate many processes of interest, including (but not limited to) meiotic pairing, chromosome structure, chromosome movement, and nuclear envelope mechanics and dynamics.</p>
</sec>
</sec>
<sec sec-type="data-availability" id="S6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>TN and BW constructed the strains. TN performed imaging and image analysis. FC built the imaging system and wrote the computer algorithm. TN and NK wrote the article. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="s12">
<title>Funding</title>
<p>This work was supported by grants from JSPS to TN and from the National Institutes of Health, R35 GM136322, to NK.</p>
</sec>
<sec id="S9" sec-type="supplementary material"><title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fcell.2021.687132/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fcell.2021.687132/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="DS1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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