Elementary and macroscopic light-induced currents and their Ca2+-dependence in the photoreceptors of Periplaneta americana

In a microvillar photoreceptor, absorption of an incident photon initiates a phototransduction reaction that generates a depolarizing light-induced current (LIC) in the microvillus. Although in-depth knowledge about these processes in photoreceptors of the fruitfly Drosophila is available, not much is known about their nature in other insect species. Here, we present description of some basic properties of both elementary and macroscopic LICs and their Ca2+-dependence in the photoreceptors of a dark-active species, the cockroach Periplaneta americana. Cockroach photoreceptors respond to single photon absorptions by generating quantum bumps with about 5-fold larger amplitudes than in Drosophila. At the macroscopic current level, cockroach photoreceptors responded to light with variable sensitivity and current waveform. This variability could be partially attributed to differences in whole-cell capacitance. Transient LICs, both elementary and macroscopic, showed only moderate dependence on extracellular Ca2+. However, with long light pulses, response inactivation was largely abolished and the overall size of LICs increased when extracellular Ca2+ was omitted. Finally, by determining relative ionic permeabilities from reversals of LICs, we demonstrate that when compared to Drosophila, cockroach light-gated channels are only moderately Ca2+-selective.


INTRODUCTION
Visual phototransduction is a G-protein-mediated biochemical cascade that converts the energy of an incident photon to an electrical signal in the plasma membrane of a photoreceptor cell (Fain et al., 2010). In microvillar photoreceptors of arthropods, production of this signal leads to membrane depolarization (Hardie and Postma, 2009). At first, studying the mechanisms underlying this depolarization relied heavily on photoreceptors in the Limulus ventral eye (Dorlöchter and Stieve, 1997;Lisman et al., 2002). Since then the development and progress in electrophysiological (Hardie, 1991) and molecular biological methods has enabled studies in the fruitfly Drosophila melanogaster, which has become the model system of microvillar phototransduction .
In Drosophila photoreceptors, phototransduction is triggered when visual pigment rhodopsin, located in the microvillar membrane, absorbs a photon and undergoes a photoisomerization to metarhodopsin. Metarhodopsin activates a heterotrimeric G-protein (G q ), which, in turn, activates the effector enzyme phospholipase C (PLC). The active PLC then hydrolyses a membrane lipid component phosphatidylinositol 4,5-bisphosphate (PIP 2 ) into inositol 1,4,5-trisphosphate (IP 3 ) and diacylglycerol (DAG). Transient receptor potential (TRP) and TRP-like (TRPL) channels are then opened apparently by both chemical (Chyb et al., 1999;Huang et al., 2010) and mechanical means (Hardie and Franze, 2012), resulting in depolarizing influx of Ca 2+ and Na + that generate the light-induced current (LIC) (Niemeyer et al., 1996;Reuss et al., 1997). The smallest LICs, namely quantum bumps (Wu and Pak, 1975), result from single photon absorptions and the opening of ∼15 TRP and TRPL channels, producing peak responses of ∼10 pA (Henderson et al., 2000). The influx of Ca 2+ is particularly important, as it is not only the predominant mediator of the LIC but also a necessary modulator of the whole phototransduction machinery (Hardie, 1991(Hardie, , 1995aHenderson et al., 2000;Gu et al., 2005;Liu et al., 2008).
It is widely believed that microvillar photoreceptors generally rely on the phosphoinositide cascade (Hardie and Postma, 2009). Therefore, the detailed knowledge about Drosophila phototransduction machinery provides a useful basis for gaining insight on how light-induced signals might be generated and regulated in the photoreceptors of other insect species. This question becomes particularly interesting when differences in visual ecology among species are considered. For example, how do the Drosophila phototransduction and the signals it produces differ from those in more dark-active species? The American cockroach (Periplaneta americana) can be considered as a nocturnal species that shows clear visually guided behavior (Kelly and Mote, 1990;Ye et al., 2003), although light as a sensory modality seems to be of secondary importance for it. The cockroach has relatively large apposition-type compound eyes with unusual structural (Butler, 1971(Butler, , 1973Trujillo-Cenóz and Melamed, 1971) and functional (Heimonen et al., 2006) irregularities. The functional variation and signaling properties in cockroach photoreceptors have been suggested to be an optimization for vision in dim light (Heimonen et al., 2006(Heimonen et al., , 2012. Preliminary findings have also implied that the functional variation could originate from phototransduction processes (Heimonen et al., 2012). However, nothing else is really known about the cockroach phototransduction, and a basic description of LICs in cockroach photoreceptors is still lacking.
In this study, we describe the basic properties of cockroach LICs by starting from the level of quantum bumps. We then show the behavior of macroscopic LICs at different light levels, and propose that the response variation found in previous studies may partly stem from variation in rhabdom size among photoreceptors. In addition, we show preliminary results about the effects of manipulation of Ca 2+ on LIC waveforms, and show that, in contrast to Drosophila, the cockroach LIC is only moderately Ca 2+ -selective.

ANIMALS
All experiments were performed on adult male cockroaches (Periplaneta americana). Animals were received as adults from Blades Biological Ltd (Cowden, Edenbridge, UK) and were subsequently kept at 25 • C under a 12 h day/night rhythm.

ISOLATION OF OMMATIDIA
Cockroaches were anesthetized for capture with CO 2 . Isolation of ommatidia was done under red light conditions. After removing the body and antennae from the head, one eye was carefully sliced off with a sharp razor blade. The retina was dissected with a flattened insect pin and subsequently cut into several pieces. After an incubation time of ∼20 min in extracellular solution complemented with 0.2 mg/ml collagenase type 2 (Worthington Biochemical Corp., Lakewood, NJ USA) and 0.2 mg/ml pancreatin (Sigma-Aldrich), retina pieces were gently triturated until ommatidia separated. Individual ommatidia, obtained after trituration with custom-made glass micropipettes, were allowed to settle in the recording chamber on the stage of an inverted microscope (Axiovert 35 M, Zeiss, Germany).

ELECTROPHYSIOLOGY
Patch-clamp recordings were performed as described before (Chyb et al., 1999). Briefly, an Axopatch 1-D amplifier (Molecular Devices, USA) was used; data were digitized and recorded on a laboratory computer using PClamp 10 software (Molecular Devices, USA). Recording electrodes had a resistance of 4-11 M that allowed recordings in the whole cell configuration with an access resistance of <30 M . Access resistance was monitored throughout the experiments. Seal resistance was typically greater than 10 G , membrane resistance in darkness was between 250 M and several G . For most measurements a series resistance compensation of at least 80% was applied. However, during quantum bump recordings, no series resistance compensation was applied, because the recorded currents are then very small. If not stated otherwise, no liquid junction potential (LJP) was corrected (−4 mV). Photoreceptors were clamped to a holding potential of −70 mV. Cells were stimulated with a green (525 nm) light emitting diode (LED) via the fluorescence port of the microscope. Quantum bump experiments were sampled at 2 kHz with either 200 Hz (for steady light) or 500 Hz (for flashes) cut-off of low-pass filtering (80 dB/decade Bessel filter). In 14.5 min bump recordings, 1 kHz sampling and 200 Hz filtering was used. All other experiments were sampled at 2 kHz with 500 Hz or 1 kHz cut-off for filtering.

ANALYSIS OF SINGLE PHOTON SIGNALS
Quantum bump analysis was performed in MatLab (Mathworks, USA), and was mostly based on the analysis by Henderson et al. (2000). Bumps were detected using a preset amplitude threshold. Due to the relatively large size of bumps the threshold was set to a value that would easily stand out from noise (−4 pA). Fused, double peaked bumps were removed. After detecting the location of bump peaks, bump beginnings and ends were determined from the first points around the peaks that were equivalent to two standard deviations of background noise. Bump parameter distributions were fitted with either the normal distribution, or lognormal distribution, where σ is the standard deviation, m is the mean, p is the fitted parameter, t pk is the time-to-peak, and s is the skewness.

POISSON STATISTICS
If a light response consists of discrete responses, the probability p n for the occurrence of n responses per time period will follow the Poisson distribution: where m is the mean number of responses, i.e., absorbed photons, which can be estimated from the probability of failed absorption (n = 0): The probability that n or more photons are required to elicit a light response follows the cumulative Poisson distribution: By assuming that the dispersion of response size, in this case the response integral, or charge (Q), follows the Gaussian distribution, the average size produced by a single photon absorption can be estimated via a sum of Gaussian functions weighted according to the Equation (3): where σ 0 is the standard deviation of failed responses and σ is the standard deviation of single photon response Q. μ is the mean Q of a single photon response, estimated from relation Q a /m, where Q a is the overall mean Q of failures and successful responses. The Poisson statistics presented in this study are based on (Hecht et al., 1942), (Baylor et al., 1979), and (Henderson et al., 2000).

RELATIVE PERMEABILITY
The permeability ratios under bi-ionic conditions were calculated from E rev of LICs according to (Hille, 2001): and P D : where P stands for permeability, M for monovalent ion, D for divalent ion, F for Faraday constant, R for gas constant and T for temperature.

STATISTICS
Data analysis and statistics were performed with Origin 9 (OriginLab Corp., Northampton, MA, USA) and MatLab (Mathworks, USA). The comparison of Spearman's ρ correlation coefficients, sample normality tests (the D'Agostino normality test) and the Mann-Whitney tests (two-tailed; p < 0.05) were performed in Origin 9. Numerical results are presented either as mean ± standard deviation or median followed by interquartile range in brackets (i.e., 1st-3rd quartile).

RESULTS
The sample of photoreceptors used in this work was not selected in any other way than viability and stability of responses. Therefore, it contains (randomly) many types of dynamics of the light-response (Heimonen et al., 2006).

QUANTUM BUMPS ELICITED BY DIM LIGHT
Bump-like discrete events with variable amplitudes could be elicited in whole-cell voltage-clamp of cockroach photoreceptors with either continuous light ( Figure 1A) or short flashes ( Figure 1B), as also described in a recent study of cockroach voltage-dependent currents . In order to observe these discrete events with continuous light, the light level was first adjusted with neutral density filters to be low enough not to produce any response. The light level was then increased until discrete inward current jumps could be observed ( Figure 1A). Further increase in light intensity increased the frequency of these events until clear summation started to occur, indicating that the responses were indeed bumps. Similarly, when short flashes were used, the light level was increased until it was capable of eliciting a response with ∼50% success rate. The flash recordings usually consisted of sets of 1 s recordings repeated 100 times. The health of the cell and recording conditions (resting potential and series resistance) was routinely checked between these sets. Using a similar protocol as in Drosophila bump studies (Henderson et al., 2000), the cockroach bumps were analyzed in terms of latency (the time between the flash occurrence and response onset, T lat ), 50% rise time (T 1 ), 50-100% rise time (T 2 ), 50% decay time (T 3 ), and peak amplitude (A) ( Figure 1B). The Q of quantum bumps was also calculated.

COCKROACH QUANTUM BUMPS CONFORM TO POISSON STATISTICS
In order to be considered as single photon absorptions, the cockroach bumps should follow Poisson statistics. First we wanted to see whether the distributions of time intervals between bumps recorded during continuous illumination followed the Poisson prediction (see, e.g., Yeandle and Spiegler, 1973). This could be tested by fitting a single exponential to inter-bump-interval histogram with the reciprocal of the time constant set to the measured bump rate. Figure 2A shows that the cockroach bump intervals indeed follow Poisson distribution. Moreover, if cockroach bumps resulted from the absorptions of at least one photon, the probability of having a successful flash-evoked response should follow Equation (5)  in dim continuous light). Each set of intensities (100-200 repetitions) produced a successful response at a different rate. These rates, or the frequencies of seeing, were then plotted against flash intensities ( Figure 2B). On the assumption that one or more photons are required to evoke a response, the data was well-fitted with Equation (5). The stochastic nature of photon absorption will also result in increased probability of having more than one photon absorptions per flash when intensity is increased. Therefore, based on the Poisson prediction, if Q follows Gaussian distribution, the Q distribution of all responses should consist of the sum of Gaussian distributions (Baylor et al., 1979). To test this we applied series of short flashes (containing either 0.3 or 1.5 photons on average) and collected the Q of both failures and successful responses into a histogram (Figures 2C,D). The results were then fitted with Equation (6), σ being the only free parameter. The sum of Poisson-weighted Gaussian functions fitted the data reasonably well; note that the large dispersion of event size caused

Frontiers in Physiology | Invertebrate Physiology
April 2014 | Volume 5 | Article 153 | 4 a significant group overlap ( Figure 2D). Together these results strongly support the notion that the recorded bumps conform to Poisson predictions and represent the elementary responses of cockroach photoreceptors to single photons.

ANALYSIS OF BUMP PARAMETERS
We then tested if the occurrence or waveform properties of cockroach bumps change in time by recording responses to 14.5 minlong pulses of dim light. In all cells tested (N = 6) both A and T 3 had a tendency to drift until reaching a stable level, while T 1 and Q remained relatively stable throughout the recording period (Figures 3A,B). Plotting bump peak times together with the running numbers of collected bumps indicated that the bump rate, i.e., light sensitivity, remained roughly the same during the stimulation period ( Figure 3C). These results, together with relatively stable resting potential (always below −50 mV) and cell input resistance, suggested that the minor drifting in the observed parameters was not a result of cell rundown. Instead, the results implied that the cells were possibly reaching an equilibrium that might involve mixing of cytosol and pipette solution.
Next, flash-induced bumps were more thoroughly analyzed in terms of parameters presented in Figure 1B. However, this time more accurate quality criteria were used to select the bumps. First, the flash intensity was set low enough to maximize the number of single photon absorptions per flash (<50% success rate). Secondly, due to possible drifting of bump waveform, the distribution of A had to pass the D'Agostino normality test in order to be accepted for analysis. As a result bumps from five photoreceptors were accepted for analysis. Figure 4 shows the average bump calculated from the averages of the five cells (also shown in light gray traces). The distributions of the analyzed bump parameters indicated that they were mostly from a single class of bumps ( Figure 5). The T lat distribution ( Figure 5C) was well-fitted with a lognormal function. Median T lat across all cells (N = 5) was 58 (49-69) ms, and the average t pk and average half-width (2.35·t pk ·s; from Howard et al., 1984), derived from Equation (2), were 53 ± 11 and 16 ± 6 ms, respectively. Table 1 summarizes the results of statistical analysis for other bump parameters. The non-exponential nature of parameter histograms ( Figure 5) suggest that the parameters are not produced by a simple 1st order reaction system (Kirkwood and Lisman, 1994). Such a stochastic system would also produce coefficients of variation (CV), i.e., standard deviation divided by mean, close to unity (Henderson et al., 2000). However, CVs in Table 1 indicate that cockroach bump parameters do not vary as much, but differ from those in Drosophila (Henderson et al., 2000).
Interdependence of bump generation processes can be assessed by examining correlation coefficients between bump parameters (see, e.g., Howard, 1983;Henderson et al., 2000). Table 2 shows the values of Spearman's ρ calculated for two representative cells. Although many different small but statistically significant correlations were found (e.g., between T lat and T 1 ) in the five analyzed cells, the only correlations showing consistency were those All parameter histograms, except for T lat , which was fitted with Equation (2), have been fitted with Equation (1). In all cases, the fits were reasonable, and indicate that the parameters were collected mostly from a single group of bumps. However, the bars close to zero in (A) and (B) suggest that a few false positives, possibly spontaneous G-protein activations, may have been included in the analysis. between A and T 3 (ρ = 0.17-0.47), and T 2 and T 3 (ρ = 0.26-0.46). These results suggest that at least T lat and bump waveform (including A) are generated by processes independent of each other.

MACROSCOPIC LIGHT-INDUCED CURRENTS
Thus, far, macroscopic LICs in cockroach photoreceptors have been briefly described in two studies from our group (Heimonen   Salmela et al., 2012). In the latter study, the major finding regarding LICs was that the functional variation could stem from differences in phototransduction processes among photoreceptors (Heimonen et al., 2012). However, it remained unclear what are the processes involved, and how the LICs would behave at different light levels. To answer those questions we recorded LICs at several light levels by using both flashes (10 ms) and pulses (10 s) of light. Our previous study had indicated that the electrical properties, such as membrane capacitance, tend to vary a lot among cockroach photoreceptors . Therefore, membrane capacitances were also determined for each cell. Figure 6A shows representative LICs recorded from a 493 pF cell. Figure 6B shows the amplitudes of the LIC in the same cell, together with results in two other cells, as a function of relative light intensity. The behavior of LIC amplitudes suggests that the large capacitance cells had higher light sensitivity than their small capacitance counterpart. However, once the light intensities were adjusted to match the number of effective photons (estimated from bump calibrations), the LIC amplitudes fell into a same range (Figure 6C). A rough estimation suggests that the LIC amplitudes increase linearly up to a range of 1-3 nA and 200-300 effective photons, with linear relation of 5.7 pA/effective photon.
As it was expected from earlier studies (Heimonen et al., 2006(Heimonen et al., , 2012, the use of 10 s light pulses resulted in highly variable waveforms of LICs across cells. Figure 6D shows examples of two extreme shapes of LICs evoked by the identical 10 s light pulse. This seems to suggest that there could be a link between the LIC response size and the photoreceptor capacitance. In Figure 6E the average plateau responses (time interval between the 3rd and 8th s of a response) of LICs recorded in 21 cells are plotted against relative light intensity. First, it can be seen that the amplitudes span up to seven orders of magnitude of relative light intensities, indicative of high variability in light sensitivity across cells. Secondly, the grouping of cells by their capacitance suggests that capacitance positively correlates with light sensitivity. Again, after adjusting the light intensities according to bump calibrations (this time in terms of effective photons s −1 ), the amplitudes narrowed down into a tighter group, which indicates that, except for the difference in sensitivity, the cells are functionally similar ( Figure 6F). This conclusion was supported by finding that the size of quantum bumps did not seem to correlate with cell capacitance (Spearman's ρ = 0; p = 0.62; N = 5). In conclusion, since capacitance is an indirect measure of membrane area, the sensitivity differences may arise from differences in the size of rhabdomeres.

DEPENDENCE ON Ca 2+
To see how cockroach LIC is dependent on Ca 2+ we first tested the effect of a series of different extracellular Ca 2+ concentrations on cockroach bumps. The test was performed with both continuous light (30 s light pulse) and 1 ms flashes in one cell. The concentration series used consisted of 7 different solutions covering a range from 1.5 mM to nominally Ca 2+ -free ("0" [Ca 2+ ]; no added Ca 2+ plus 500 μM EGTA). The concentrations were chosen following the study by Henderson et al. (2000). Surprisingly, the lowering of extracellular [Ca 2+ ] had relatively weak effects on the bump waveform (Figure 7). The bumps induced by a 30 s pulse started to show dramatic effects only at "0" [Ca 2+ ] (Figure 7A). With "0" [Ca 2+ ] the bump waveforms became substantially slower and prolonged, causing extensive response fusion. Bumps elicited by repeated flashes behaved in a similar manner. The comparison of average bumps (calculated from 65 to 192 bumps) indicated that in Ca 2+ concentrations from 1.5 mM down to 25 μM the bumps became only slightly smaller and slower ( Figure 7B). Although T lat increased in lower Ca 2+ concentrations, the changes were relatively small. In "0" [Ca 2+ ], the bump shapes were highly unpredictable, varying from smaller rapid events to multi-peaked rectangular-like responses ( Figure 7C). Therefore, the analysis of bump waveform parameters was not considered viable in "0" [Ca 2+ ]. However, the comparison of averages across three cells suggested that bump A did not drop substantially even in "0" [Ca 2+ ] (−35.3 ± 17.7 pA in control vs. −30.0 ± 15.7 pA in "0" [Ca 2+ ]; N = 65-185 bumps). The comparison of samples within each cell indicated a statistically significant difference only in one out of three cases. Another observation made in the same cells was that the T lat dispersion appeared to increase when Ca 2+ was omitted. The difference in median T lat (cell 1: 43 (37-49) ms; cell 2: 45 (36-55) ms; and cell 3: 79 (63-96) ms under control conditions vs. cell 1: 53 (44-68) ms; cell 2: 59 (47-71) ms; and cell 3: 104 (89-162) ms in "0" [Ca 2+ ]) was statistically significant within all three cells (p < 0.001; N = 65-185 bumps). In addition, the half-widths of lognormal fits of the T lat distributions indicated that Ca 2+ removal increased the dispersion of T lat (13 ± 5 ms in control vs. 23 ± 12 in "0" [Ca 2+ ]; N = 3).
The effects of extracellular Ca 2+ manipulations were then tested with macroscopic LICs. First, the same set of Ca 2+ concentrations as above was used with responses to a 10 ms flash in one cell ( Figure 8A). As with bumps, the lowering of extracellular Ca 2+ concentration resulted in only moderately slowed responses (a result of slower bumps and/or the increased dispersion of bump T lat ) until "0" [Ca 2+ ] was used. In "0" [Ca 2+ ], the LIC amplitude (from ∼4 to ∼10 nA ) and duration increased dramatically. The second test involved using 10 s light pulses at different light levels before and after omission of extracellular Ca 2+ . The use of longer light pulses allowed us to observe changes beyond transient responses, and see how extracellular Ca 2+ affects light adaptation. Since bump discrimination during continuous stimulation was practically impossible we had to rely on comparing effects using relative light intensities. The omission of extracellular Ca 2+ resulted in an increase of amplitude and slightly prolonged duration of the LIC when compared to 1.5 mM Ca 2+ (Figure 8B). The peak-to-plateau transition in the late phase of the LIC was also completely suppressed. However, response delay and the early onset of initial transient were almost as fast in "0" [Ca 2+ ] as in 1.5 mM Ca 2+ . The effects were similar in other cells recorded, and the average plateau currents were systematically increased in "0" [Ca 2+ ] (Figure 8C). This result suggests that Ca 2+ influx may be necessary for proper response deactivation.
To learn more about the possible mechanisms involved in the activation of LICs we also attempted to manipulate intracellular Ca 2+ by buffering with EGTA. Since EGTA is a relatively slow, millisecond scale Ca 2+ chelator, its presence in the pipette solution should still allow transient increases in Ca 2+ , e.g., through light-gated channels in microvilli (Henderson et al., 2000). Therefore, in principle, if capacitive Ca 2+ entry (i.e., the activation of InsP 3 or ryanodine receptors) was necessary for response excitation in the cockroach, EGTA should be able to inhibit the activation of the LIC. The effects of 10 mM EGTA were first tested on bumps. Figure 9A shows the behavior of bump A over a 870 s (14.5 min) light stimulation period started right after achieving the whole-cell configuration. Visual examination suggests that after 100 bumps A started to deteriorate. The frequency of the appearance of bumps also decreased with time, which can be seen from the sub-linear relation of bump number with time ( Figure 9B).
Flash-induced bumps recorded subsequently in the same cell diminished to barely detectable levels ( Figure 9C). This resulted in a relatively poor signal-to-noise ratio, which is why quantitative bump parameter analysis was not carried out in full. T lat from 72 events were collected, resulting in a median of 84 (66-99) ms. However, although showing otherwise similar behavior with EGTA, bumps recorded in another cell resulted in much shorter T lat , with median of 38 (34-45) ms (N = 110), making definitive conclusions about the effects of EGTA on transduction impossible. We then tested how a prolonged exposure to intracellular EGTA would affect the waveform of the macroscopic response. This was done by first recording a LIC induced by a relatively bright 10 s light pulse right after formation of the whole-cell recording configuration. After 25 min:s the same light pulse was repeated. The resulting LIC showed a clear drop in transient amplitude, and was reminiscent of a response recorded with lower light intensity in control conditions. This behavior was in line with the drop in quantum efficiency observed with bumps recorded in the presence of EGTA. In the same cell, the effects of extracellular Ca 2+ removal were also tested ( Figure 9E). Two notable observations were made. First, the responses in "0" [Ca 2+ ] were very much like those detected without EGTA in the pipette (compare to Figure 8B). Secondly, the responses showed conspicuous inactivation in relatively bright light, suggesting the exhaustion of a transduction component.

THE Ca 2+ -SELECTIVITY OF COCKROACH LIGHT-INDUCED CURRENT
The surprisingly large size of cockroach quantum bumps in "0" [Ca 2+ ] suggests that the LIC may not be dependent in the influx of Ca 2+ to such an extent as in the fruitfly photoreceptors. To estimate the Ca 2+ -selectivity of cockroach light-gated channels we determined the relative ionic permeabilities from LIC E rev recorded under bi-ionic conditions. The permeabilities of extracellular cations were assessed relative to an intracellular cesium solution, which also contained 15 mM TEA-Cl to attenuate voltage-dependent potassium conductances. The approach was largely adopted from the study by Reuss et al. (1997). The E rev were determined from LICs induced by a 50 ms flash, while the cell was clamped to different voltages in 2 mV increments (Figures 10A-C). The median E rev measured under control conditions from 10 cells was 8 (5-11) mV ( Figure 10D). The calculation of relative mono-and divalent cation permeabilities according to Equations (7) and (8) revealed only slight selectivity over other cation species for Ca 2+ (Figure 10E). The median permeabilities relative to Cs + for Ca 2+ and Na + were 13.9 (9.2-17.4) and 0.9 (0.9-0.9), respectively, giving a ∼16:1 selectivity for Ca 2+ over Na + .

DISCUSSION
Until now our knowledge of phototransduction mechanisms in invertebrate photoreceptors have relied on a few prototypical species. In particular, insect phototransduction has been studied extensively in the fruitfly (Drosophila melanogaster) photoreceptors (Hardie and Minke, 1992;Hardie and Postma, 2009). However, significant species-specific differences could exist, suggested by work done, e.g., in the honeybee (Baumann and Walz, 1989;Ziegler and Walz, 1990;Walz et al., 1994Walz et al., , 1995, the cockroach (Heimonen et al., 2006(Heimonen et al., , 2012Salmela et al., 2012), the stick-insect , and the field cricket (Frolov et al., 2014). Those differences may be suggested to be linked to different visual ecology of those animals vs. the fruitfly. In this work, we have characterized the LICs in the photoreceptors of the American cockroach, with emphasis on the quantitative analysis of quantum bumps. The study was carried out by using whole-cell voltage-clamp, which allowed the uncoupling of LICs from other major ionic currents, such as voltage-gated K + currents. We also addressed the question how cockroach LIC is dependent on Ca 2+ by manipulating both extraand intracellular Ca 2+ during experiments. Our findings gave us clues about the possible mechanisms responsible for the generation of LIC. Most importantly, we were able to find out that the light-gated channels of cockroach photoreceptors are only moderately Ca 2+ -selective. This finding can be compared to the about two-times more Ca 2+ -selective LIC in Drosophila photoreceptors (Reuss et al., 1997). Although the solutions we used were not identical to what was used in that work, that did not appear to compromise photoreceptor viability or their ability to respond to light.
The comparison of bump statistics reveals one conspicuous difference between the cockroach and Drosophila: the cockroach bump A is ∼5 times higher (see Table 1 and Henderson et al., 2000). Large bumps have been recorded also in other nocturnal species (Frolov et al., , 2014, supporting the theory that large bump size is an adaptation for vision in dim light (Warrant and Dacke, 2011) in order to increase signal-to-noise ratio at single photon level. However, although the T lat and kinetics of cockroach bumps are slightly slower than in Drosophila, they still have very similar time-scales. It is therefore highly plausible that the same basic transduction machinery (i.e., PLC-PIP 2 cascade) is responsible for the generation of cockroach light responses. Accordingly, large bump A could be a result of-compared to D. melanogaster-a larger number of light-gated channels, a higher single channel conductance, or both.
The lack of systematic statistical dependence between T lat and bump waveform in cockroach (Table 2) suggests that they are defined by independent mechanisms (Howard, 1983;Keiper et al., 1984;Henderson et al., 2000). In principle, this finding is in conflict with the slowing of T lat and bump kinetics in "0" [Ca 2+ ]. However, the longer T lat could also stem from changes in the resting levels of cytosolic Ca 2+ inflicted by the Na + /Ca 2+exchanger (Hardie, 1996;Gu et al., 2005). Such changes may influence the activity of crucial transduction components, such as PLC (Running Deer et al., 1995). Interestingly, except for one cell, the bump half-width (T 2 + T 3 ) also showed some correlation with bump A (from 0.3 to 0.4). According to the bump scaling theory of Burton (Burton, 2006), which states that bump A decreases with decreasing duration, this correlation would be expectable. However, the relatively weak correlation also highlights the considerable variation in bump generation processes. Nevertheless, it would be interesting to find out whether larger bumps could be generated simply by slowing down the relevant enzymatic phototransduction reactions.
From flash-induced macroscopic LICs (Figures 6A-C) we observed a near linear increase in peak amplitude as the light levels were increased up to a point of <1000 effective photons. At this point the currents were already in the range of a few nA where significant series resistance error can be expected. Nevertheless, within the seemingly linear intensity range cockroach LIC increased with a slope of 5.7 pA per effective photon, meaning that the gain of phototransduction is about two times higher than that in Drosophila (Henderson et al., 2000). The linear range also corresponds well with the findings relating to information processing in cockroach photoreceptors, which does not seem to increase beyond the intensity of ∼1000 photons/s (Heimonen et al., 2012). Another interesting observation was the tendency of high capacitance cells to be more sensitive to light (Figures 6B,E). Since bump size did not correlate with capacitance, this behavior may originate from differences in the number of microvilli in each photoreceptor. Relatively speaking, a lower number of microvilli would not only more easily make a photoreceptor less light sensitive but also render it refractory as the light levels are increased ( Figure 6D; see also Song et al., 2012). This type of behavior might also explain the presence of "hyperadapting" cells in the cockroach (Heimonen et al., 2006(Heimonen et al., , 2012, reminiscent of the Drosophila trp phenotype (Minke, 1982). Therefore, instead of differences in phototransduction (Heimonen et al., 2012), the functional differences among cockroach photoreceptors may be explained by differences in the size of rhabdomeres and the number of microvilli. This complements the previously reported high functional and structural variability of cockroach photoreceptors (Heimonen et al., 2006).
In Drosophila photoreceptors, the importance of Ca 2+ influx during a light response is undisputed, as it both regulates response amplification and inactivation (Hardie, 1995a), and is also the major mediator of light adaptation Gu et al., 2005;Liu et al., 2008). Clear effects are manifested already at the level of single photon bumps, when the extracellular concentration of Ca 2+ is lowered to 200 μM (Henderson et al., 2000). Surprisingly, cockroach bumps were not as sensitive to extracellular Ca 2+ manipulations, and retained their waveform relatively well down to a concentration of 25 μM (Figures 7A,B). Only after the omission of extracellular Ca 2+ by using a chelator, the cockroach bumps were considerably changed, their waveforms becoming highly unpredictable ( Figure 7C). Even then the amplitudes did not deteriorate as dramatically as in Drosophila (Henderson et al., 2000). As it would be expected from the convolution of wide-shaped bump and T lat distribution, the flash-induced LICs behaved similarly as bumps with the same set of Ca 2+ concentrations ( Figure 8A)-only in "0" [Ca 2+ ] was the response waveform changed dramatically. With 10 s light pulses the most notable finding was the failure of cockroach LICs to develop the distinctive peak-plateau transition phase in "0" [Ca 2+ ] while higher light intensities were used (Figures 8B,C). Basically, this meant that without Ca 2+ the photoreceptors lost some of the Ca 2+ -dependent negative feedback mechanism(s). One possible candidate could be the Ca 2+ -dependent inactivation of metarhodopsin (Liu et al., 2008). In Drosophila trp mutants lacking the Ca 2+ -selective TRP channels, the loss of Ca 2+ influx may result in PIP 2 depletion due to uncontrolled hydrolysis by PLC . With longer lasting light stimuli this results in transient responses that eventually drop down to baseline level while the light is still on. Accordingly, the removal of extracellular Ca 2+ should produce a similar effect. Apparently, the use of Ca 2+ -free solutions was not enough in the case of cockroach, as all four cells tested responded robustly at all light levels without showing any indication of LIC rundown (Figures 8B,C). In fact, in three out of four cells, the brightest light level could not be registered anymore as the currents could easily saturate the amplifier.
Assuming that the influx of Ca 2+ via light-gated channels takes place in a microsecond timescale, free intracellular EGTA should not be able to interfere with the generation of bumps and transient LICs considerably (Hardie, 1995b;Henderson et al., 2000). Interestingly, EGTA did not only diminish cockroach bump A, but simultaneously reduced sensitivity to light as well (Figures 9A-C). However, intracellular EGTA did not prevent photoreceptors from producing prominent macroscopic LICs (Figures 9D,E), suggesting that chelation reduces the response size only by impeding intracellular Ca 2+ accumulation and thus proper Ca 2+ feedback. It should be also noted that in these experiments, the pipette solution was loaded with Ca 2+ to obtain a concentration of free Ca 2+ that was close to the resting Ca 2+ level in dark adapted Drosophila photoreceptors (Hardie, 1996). It is possible that this particular concentration was not suitable for cockroach transduction to function normally. In addition, the permeability profile of light-gated channels and the behavior of bumps in "0" [Ca 2+ ] bath solution indicate that a significant fraction of the LIC could be mediated by an influx of Na + . It is consequently difficult to make solid conclusions about the sources of Ca 2+ entering the cell. Nevertheless, an interesting finding was that in the brightest light level, the Drosophila trp phenotype could be reproduced with as well as without extracellular Ca 2+ (Figure 9E). It is tempting to conclude that this behavior could result from the depletion of a relevant exciter  or the prevention of rise in cytosolic Ca 2+ through capacitive Ca 2+ entry (Stieve and Benner, 1992;Ukhanov et al., 1995). However, a more thorough study is required to confirm this hypothesis.
The results obtained with bumps led us to believe that Ca 2+ may not be such a predominant mediator of the LIC as it is in Drosophila photoreceptors (Figure 7; see also Henderson et al., 2000). The permeability profile of cockroach LIC revealed that this indeed seems to be the case as Ca 2+ was only ∼16 times more permeable than Na + . For comparison, in Drosophila photoreceptors, Ca 2+ is roughly 39 times more permeable than Na + (Reuss et al., 1997). Although the difference is not overtly dramatic it still could partly explain the lack of distinct effects with cockroach bumps while using different extracellular Ca 2+ concentrations. The large size of Ca 2+ -free bumps also suggests that Na + is responsible for a considerable fraction of the LIC. An intriguing possibility would be that cockroach photoreceptors also utilized TRP-and TRPL-type channels but with different proportions, favoring the amount of TRP less than in Drosophila. One of the remaining questions is also whether the Ca 2+ influx via light-gated channels alone was enough to raise the intracellular Ca 2+ levels sufficiently for proper regulation of transduction events.