Abstract
Marmosets are expected to serve as a valuable model for studying the primate visuomotor system due to their similar oculomotor behaviors to humans and macaques. Despite these similarities, differences exist; challenges in training marmosets on tasks requiring suppression of unwanted saccades, having consistently shorter, yet more variable saccade reaction times (SRT) compared to humans and macaques. This study investigates whether the short and variable SRT in marmosets is related to differences in visual signal transduction and variability in inhibitory control. We refined a computational SRT model, adjusting parameters to better capture the marmoset SRT distribution in a gap saccade task. Our findings indicate that visual information processing is faster in marmosets, and that saccadic inhibition is more variable compared to other species.
Introduction
Marmosets are a valuable addition to studying the primate sensorimotor and cognitive functions. Their brain is lissencephalic with less cortical folding, allowing easier access to many brain areas on the exposed cortical surface. They also display rich social behaviors and communication similar to humans, including vocal exchanges, gaze following, social learning, and cooperative breeding (). Furthermore, for early visual areas like the retina, lateral geniculate nucleus (LGN), V1, V2, and middle temporal area (MT), the functional properties and anatomical organization appear broadly similar between marmosets and macaques, aside from eye size differences, making them a promising model for studying active vision and visual cognition (; ).
Researchers have shown that marmosets can be trained to perform variety of visual and cognitive tasks, both in head-free and head-restrained conditions, and they exhibit saccadic behavior comparable to that of macaques and humans (; ; ; ; ; ; ). Despite the similarities in oculomotor behavior that marmosets share with macaques and humans, there are some critical differences, such as the challenge of suppressing unwanted saccades. For instance, it has been described that training marmosets on a blocked antisaccade task is possible only if the task is eased, where they have to generate a saccade away from a dimly lit peripheral stimulus (). Furthermore, the saccade reaction time (SRT) in marmosets is consistently shorter but often more variable, ranging from 69.7 to 399 ms on average (; ).
Understanding the reason behind these differences is a complex issue. However, by modeling various components of neural activity which integrate different types of information that guide saccadic generation in a species-specific manner, we can potentially infer the underlying causes of differential saccadic behavior. We incorporated adjustments to parameters in their model based on our marmoset behavioral data and the cumulative knowledge of marmoset behavior and neurophysiology. Our objective is to refine the model’s parameters to enhance its fidelity in replicating marmoset SRT. This refinement seeks to deepen insights into the factors contributing to the shorter and more variable SRT observed in marmosets compared to humans.
Materials and methods
Animal preparation and surgical procedure
Three adult marmosets born in the breeding colony at the Kyoto University Animal Research Facility, aged 3–5 years participated in this study; two males; marmoset J and marmoset P, and one female; marmoset M. The experiments were conducted following the guidelines of the Japan Neuroscience Society and the Science Council of Japan and were approved by the Animal Ethics Committee at Kyoto University, Japan, under license number Med Kyo24059. Marmosets were provided with daily food and water and were not deprived during the experiment.
Following 2 weeks of chair training, marmosets underwent headpost implantation surgery to prepare for head fixation. Each marmoset was aseptically mounted with a custom-designed headpost, tailored to its MRI-base skull reconstruction, under 1.5% isoflurane anesthesia, following induction with 14 mg/kg ketamine and 0.14 mg/kg medetomidine. We used biocompatible Dental SG Resin (Form2, Formlabs, U.S.A.) to 3D print the headpost and attached it to the skull with Super-Bond (Sun Medical Co., Ltd., Japan). This method ensures a stable and long-term fixation.
Human subjects
Three adult human subjects aged 29–37 years participated in this study, two males; human C and human H, and one female; human W. Approval was obtained from the ethics committees at the Medical Faculty of Kyoto University. All human subjects provided informed, written consent before participating in the experiment. Human subjects did not have their heads fixed; instead, head position was stabilized using a custom-made chin rest.
Visual task and monitor setup
Stimuli were generated using PsychoPy 3.6 (). They were displayed on a gray background with a luminance of 99 cd/m2 on a Dell AW2521HF LCD monitor for marmosets and 58.47 cd/m2 on a Dell AW2125HF LCD monitor for humans, positioned at a distance of 41 cm. Both monitors had a resolution of 1920 × 1080 pixels and operated at a refresh rate of 60 Hz.
We used the gap task to align with the model, which is based on this paradigm. The gap saccadic task simply asks the subject to make a saccade toward a 1-degree target that appears after the end of the fixation period and gap period (Figure 1A). We used a 200 ms fixation period, 200 ms gap period and 6 degrees for visual stimulus eccentricity. The target location was randomly chosen from eight equidistant positions, spaced at 45-degree intervals along a radial visual angle, for each trial. A 2-degree-radius invisible eye window was centered on the fixation and the target stimuli. During fixation, the gaze had to remain within the fixation window, and the saccade needed to land within the target window. A black dot with a white center was used as the stimulus. Successful responses are rewarded with a presentation of a marmoset photo and a 0.05 ml reward; prepared by mixing baby supplement banana pudding (Kewpie Corp., Japan) with banana-flavored Mei-balance (Meiji Holdings Co., Japan). If the response was incorrect, a one-frame red screen was flashed.
FIGURE 1
To further align with the
Eye tracking, calibration, saccade detection and saccade reaction time (SRT) quantification
We tracked the eyes of marmosets and humans binocularly using an Eyelink 1000 Plus and Eyelink 1000 (SR Research, Canada), respectively, at a sampling frequency of 500 Hz. Both pupil and corneal reflection information were utilized to ensure better accuracy. Eye position calibration and validation followed the method described by
The neural field model and the component-based inputs
We used (
where node index (i) indicates position in space (1:100), △t indicated the increment of time (△t = 1 ms for all simulations). The value of κ at each node was determined by the node’s distance from the center of activity (γ), using a Gaussian profile with a standard deviation (γ) of 0.6 and an amplitude (amp) of 1.05. The numerator in the exponential represents the minimum distance of a node from the center of the Gaussian on a toroidal feature space, avoiding boundary conditions—a common technique in neural field computations.
The model inputs
The model incorporates eight inputs that emulate neural activity patterns observed in the primate brain during saccade tasks, as detailed by
Dynamic integration of saccadic activity
The model composed of three stages; the input, the integration and the output stages, Figure 1B. The output activity a was calculated for each time point (t) as a nonlinear function of its internal state (u) using a sigmoidal function:
The steepness of the sigmoid was set to β = 0.09. Saccade initiation threshold states when the output activity at any non-central location reached 0.7.
where △t = 1 ms is the time discretization step, i = 1:100 denotes the spatial index, Tau (τ) = 4 is the time scale constant, the external contribution (cext) is a vector representing the sum of the eight external inputs to the model, and the internal contribution (cint) is a vector representing the connections across the model (Equation 5).
(a) is the model’s current activity and W is a laterally-inhibitory weight matrix. The matrix W defined in Equation 6, is positive for nearby nodes and negative for distant ones. It is derived from a Gaussian matrix G (Equation 7) which is shifted by 80% of its maximum value [m = 0.8 × max(G)] and scaled by △x. Here, △x = 10/N represents the distance between nodes, with the feature space ranging from −5 to 5 mm of SC tissue. The Gaussian width is set to σ = 0.85 with a scaling factor sf = 74.7. Both the cint and u vectors were reset to −30 to represent a negative membrane potential, ensuring that each trial was unaffected by the previous one.
Optimizing model parameters
We followed
TABLE 1
| Onset delay (ms) | RoR (%) | MaxVal | |
Marmosets ![]() | |||
| 1. Visual transient | ![]() | 10, 15, ![]() | 8 |
| 2. Automated motor | ![]() | ![]() | ![]() |
| 3. Automated fixation | ![]() | ![]() | 6 |
| 4. Voluntary motor | ![]() | , 10, 20 | Dependent |
| 5. Voluntary fixation | ![]() | ![]() | , 4, 6, 8 |
| 6. Voluntary preparation | ![]() | Dependent | 4, 6, 8 |
| 7. Inhibitory gate | ![]() | , 10, ![]() | , 4, 6, 8 |
| 8. Peripheral inhibition | ![]() | , 10, ![]() | , 4, 6, 8 |
| Onset delay (ms) | RoR (%) | MaxVal | |
Humans ![]() | |||
| 1. Visual transient | 50 | 10, 15, ![]() | 8 |
| 2. Automated motor | 60, ![]() | 4, 6, 8 | ![]() |
| 3. Automated fixation | 60, ![]() | 10 | 6 |
| 4. Voluntary motor | ![]() | 5, 10, 15 | Dependent |
| 5. Voluntary fixation | ![]() | 10 | 4, 6, 8 |
| 6. Voluntary preparation | ![]() | Dependent | 4, 6, 8 |
| 7. Inhibitory gate | ![]() | 5, 10, 15 | 4, 6, 8 |
| 8. Peripheral inhibition | ![]() | 5, 10, 15 | 4, 6, 8 |
The possible settings used for each input for each trial. The changes made at each step are color-coded as described in the text and illustrated in Figure 3.
Like
Results
Identification of anticipatory, express and regular saccades
Anticipatory saccades are eye movements made before a visual target appears, reflecting the expected location of the target. They are a type of voluntary saccade and typically have shorter SRTs than visually guided saccades. To help determine anticipatory saccades threshold, we followed a similar approach as (
FIGURE 2

Identification of anticipatory, express and regular saccade thresholds. (A) Scatterplots demonstrate the method used to categorize anticipatory saccades in marmosets. Each plot represents saccades made toward the rightward target. The landing point x-coordinate is plotted against primary saccade latency measured from the onset of the visual target at 6 deg eccentricity. Correct saccades are presented in blue and errant saccades are in red. The vertical line in each plot represents the latency boundary, determined by the point where the number of errant saccades exceeds the number of correct ones. Short latencies to the left of the boundary represent anticipatory saccades that were not visually driven, while latencies to the right represent visually driven express and regular saccades. SRT histograms plotted with 6 ms bins. The dashed lines indicate the threshold between express and regular saccade in marmosets (B) and humans (C).
On the other hand, saccades obtained during a gap task with a 200 ms gap often feature a bimodal distribution of SRT. One is attributed to express saccades and the other to regular saccades (
In contrast, human subjects in this study exhibited almost no errant or express saccades, Supplementary Figure 1. Nonetheless, we plotted the SRT histogram to determine the minimum latency for regular saccades (Figure 2C). Based on the results depicted in Figure 2, we categorized express saccades as those occurring in times shorter than 75 ms and longer than 50 ms. Therefore, we determined the minimum threshold for regular saccades to be 75 ms for marmosets and 100 ms for humans.
Marmosets have shorter saccade reaction time (SRT) than humans
We combined data from the same species to create species-specific fitted parameters. The SRTs of saccades collected from marmosets (Figures 3A, B) and humans (Figures 3E, F) are presented in the histograms and cumulative distribution function (CDF) of SRTs. By examining the SRT distribution of marmosets and humans (Figure 3), it becomes immediately apparent that marmosets have shorter SRTs (p = 1.4 × 10–31, Wilcoxon rank-sum test), as indicated by the earlier part of the CDF. The median of SRT is 122 ms in marmosets and 147 ms in humans. The shortest SRT is 61 ms for marmosets and 108 ms for humans.
FIGURE 3

Histograms of marmoset and human SRTs and their model simulations, plotted with 6 ms bins. Actual (A) and cumulative (B) histograms show the percentages of saccades and their latencies from the 3 marmosets performing the gap task. Simulated (C) and cumulative (D) histograms showing percentages of saccades and their latencies from the model. Step 1 data consists of modifications to the onset delay of inputs 4–8. Step 2 data includes modifications from step 1 plus adjustments made to alter the visual response. Step 3 data incorporates modifications from steps 1 and 2, along with changes made to adjust the variability in SRT. Actual (E) and cumulative (F) histograms showing the percentages of saccades and their latencies from the 3 humans performing the gap task. Simulated (G) and cumulative (H) histograms showing percentages of saccades and their latencies from the model. Step 1 data consists of modifications to the onset delay of inputs 4–8. Step 2 data includes modifications from step 1, along with adjustments made to inputs 1 and 2 to maintain consistency with our approach for marmosets. Each simulated set of data is composed of 20,000 random trials.
To start the simulation, we initially considered the onset delay of inputs 4–8 (Table 1), which represents the cut-off between express and regular saccade, as the most apparent parameter to change. In
Because our human subjects also had a shorter SRT than those in
Shorter SRT implies that the perception and the processing of visual stimuli are fast in marmosets. Indeed, previous studies have shown that the response latency in V1 is shorter in marmosets than in macaques (
Due to the reduction in onset delay for the visual transient, we correspondingly adjusted the automated motor input to have a minimum of 30 ms for marmosets. Besides, recordings in the LIP of marmosets have shown that neurons fire at least as quickly, if not faster, than in macaques, which was used by
Another contributing factor to shorter SRTs could be weaker inhibition leading to quicker disinhibition. For instance, marmosets appear to face greater challenges than macaques when attempting to complete the standard antisaccade task. This difficulty likely stems from their reduced ability to inhibit reflexive eye movements (
Moreover, it is known that express saccades frequently occur when active fixation or directed visual attention is disengaged 200 ms before the saccade target appears, and almost completely abolished if fixation or attention is still engaged when the saccade target appears (
Additionally, some previous research suggested that marmosets have a smaller pool of neurons than macaques (or humans). For instance, (
These adjustments collectively (step 2) brought the simulation results closer to replicating the short SRTs observed in marmosets (Figures 3C, D, purple line). The R2 value was 0.94 and the MSE was 0.005.
We used the same RoR values for input 1 for humans as we did for marmosets, as well as the same MaxVal for input 2 (step 2, Table 1), (Figures 3G, H, purple line). The R2 value was 0.98 and the MSE was 0.0029.
Marmosets exhibit greater variability in SRT resulting in more delayed saccades
As Figures 3A, B illustrate, marmosets exhibit greater variability in SRT compared to humans (Figures 3E, F), resulting in a longer, extended tail of the CDF and more saccades having SRT > 250 ms (9.4% vs 0.4%, p = 3.7 × 10–7, Wilcoxon rank-sum test). With the parameters outlined in
In exploring potential causes for slower SRT, one study inferred that the central visual field is better represented or has stronger neural representations compared to the peripheral visual field in the marmoset brain, consistent with their small eye size (
Based on that, we hypothesized that disengagement from fixation might not always occur swiftly. To address this, we introduced a minimum RoR of 1% for the inhibitory gate and peripheral inhibition inputs and enhanced the RoR of automated fixation and voluntary fixation inputs to be 8%.
Other potential causes include a slower building-up of the voluntary motor signal or a more variable onset delay for the build-up activity. Thus, we introduced a minimum RoR of 1% for the voluntary motor input.
These additional adjustments (step 3), combined with our previous modifications, brought the simulation results closer to replicating the observed SRTs in marmosets (Figure 3D, blue line). The R2 value was 0.99 and the MSE was 0.0006.
Finally, to demonstrate that the modifications in step 3 improved the model’s ability to capture SRT distribution in marmosets compared to step 1 (which achieved an R2 of 0.89), we tested the Wasserstein (Earth Mover’s) Distance, sensitive to overall shape differences in the distributions. The Normalized Wasserstein Distance for step 3 was 694,254.5, compared to 1,255,615.5 for step 1, representing a twofold improvement in performance. Furthermore, we compared the quantiles of the two distributions to assess the model’s fit and identify deviations from expected distributions. As shown in Supplementary Figure 2A, the modifications in step 3 brought the model closer to matching the real marmoset data. We also compared the CDFs of the real marmoset data with the simulated models (step 3 vs. step 1). As depicted in Supplementary Figure 2B, the step 3 model more accurately replicates the real marmoset SRT distribution compared to step 1.
To further validate our model’s performance in capturing individual variations, we analyzed the SRT data for each marmoset and assessed how well the model aligned with the real data. As shown in Supplementary Figure 3, the model captures the shape of each marmoset’s SRT distribution well, with consistently good R2 and MSE values.
With the refined parameters listed in Table 1, we successfully replicated both the shorter and more variable SRT observed in marmosets.
Discussion
Our marmoset-fitted parameters offer insights into the factors influencing differences in the temporal processing of afferent signals across different brain areas. These differences contribute to distinct behavioral outcomes in marmosets compared to humans. This understanding can help clarify why it’s easier to train marmosets on certain tasks but not the other and why they show varying levels of success in task performance compared to other species.
Below, we elaborate on the rationale behind our observations and the modifications to the parameters made in this study.
Marmosets have an earlier visual response
Various studies on marmosets performing visually guided saccadic task have consistently shown shorter SRT compared to macaques or humans (
One possible reason is to have earlier perception and the processing of visual stimuli, as elaborated in the results section earlier. Alternatively, one would also think that a smaller brain may react faster than a bigger brain. It is generally considered that smaller animals generally have greater temporal resolution of vision, meaning they can detect flickering light at higher frequencies than larger animals. This is linked to higher metabolic rates in smaller animals (
Furthermore, one study suggested that having a larger number of cortical neurons, which is associated with larger brain size, can lead to longer neural processing times. The study found that the enlargement of human brain size, or more accurately, the increase in the number of cortical neurons developing throughout primate evolution, correlated with an increase in the dwell time of auditory cortical processing in humans (
With a larger neuronal pool, the organization and efficiency of information processing can impact the speed of action. In some cases, it might exhibit less efficient processing due to increased noise or competition among neurons for resources, which could also contribute to delays in action.
Thus, several theories propose that increasing the size of interconnected neuron pools, incorporating more synapses, conduction delays, recurrent interactions, and prospective coding mechanisms, can result in a longer delay from sensory input to motor output in neural circuits involved in action preparation and execution. A larger neuron population scale appears to enable greater temporal integration and delay of actions.
Overall, these findings suggest a trade-off between the advantages of larger brain size, such as enhanced cognitive capabilities and finer visual processing, and the potential drawback of slower processing speeds for certain sensory inputs, including visual information, which could explain the shorter SRT observed in marmosets.
Marmosets might have a variable level of inhibition
Another possible factor that might contribute to the shortening of SRT is having weaker inhibition. One vital brain area to think of is the basal ganglia (BG), which plays a role in suppressing the automatic triggering of express saccades. Thus, BG dysfunction or a decrease in its functionality can increase the incidence of faster saccades by reducing the normal suppression of these automatic saccades.
Previous results suggested the external globus pallidus (GPe), through the indirect pathway, can exert an inhibitory gating influence over saccade-related activity in the SNr. This inhibitory gating may contribute to the regulation of saccade initiation and suppression of unwanted saccades by the BG oculomotor circuit (
On the other hand, some studies showed that in Parkinson’s disease (PD) patients, the gap paradigm led to the generation of express-like saccades, similar to express saccades seen in normal subjects and the percentage of express-like saccades in the gap condition was significantly higher compared to age-matched control subjects (
Thus, the collective evidence from these results suggests that the strength of inhibitory signals in the BG can influence response times. Weaker inhibition generally seems to be associated with shorter response times or a higher likelihood of making rapid responses.
Based on that, we propose that marmosets might have weaker inhibition strength, which allows them to generate shorter SRT. This might also explain why it is hard to train marmosets on antisaccade tasks or delayed saccade tasks with long delay periods (
However, despite the generally weaker level of inhibition in marmosets, it appears that the inhibition level is not consistently weak but rather variable. This variability contributes to the long tail observed in the CDF (Figures 3A, B). Research shows that the BG exert inhibitory control over saccade initiation, which the SC must overcome. Increased inhibitory output from the BG, particularly the SNr, can delay saccade initiation by maintaining inhibition on the SC (
Statements
Data availability statement
The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.
Ethics statement
The studies involving humans were approved by the Ethics Committees at the Medical Faculty of Kyoto University. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study. The animal study was approved by Japan Neuroscience Society and the Science Council of Japan, and the Animal Ethics Committee at Kyoto University, Japan. The study was conducted in accordance with the local legislation and institutional requirements.
Author contributions
WA: Data curation, Formal analysis, Methodology, Software, Visualization, Writing – original draft, Writing – review and editing, Conceptualization. C-YC: Supervision, Validation, Writing – review and editing, Investigation. TI: Funding acquisition, Project administration, Resources, Supervision, Validation, Writing – review and editing, Investigation.
Funding
The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This work was supported by the Japan Society for the Promotion of Science (JSPS) Grant-in-aid for Scientific Research no. 23H03700 and the Brain/MINDS grant from the Japan Agency for Medical Research and Development (AMED), project no. 19dm0207093h0001, Japan.
Conflict of interest
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. The author(s) declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision.
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Supplementary material
The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fnsys.2024.1478019/full#supplementary-material
Supplementary Figure 1Identification of anticipatory saccade thresholds in humans. Each scatterplot represents saccades made toward the rightward target. The landing point x-coordinate is plotted against primary saccade latency measured from the onset of the visual target at 6 deg eccentricity. Correct saccades are presented in blue and errant saccades are in red. No early errant saccades were made by human subjects.
Supplementary Figure 2Statistical figures demonstrating the superiority of step 3 modifications over step 1. (A) The Q-Q plot compares the quantiles of the simulated data to the real marmoset SRTs, assessing the fit and identifying deviations. In step 1, points in the Q-Q plot deviate from the straight line, indicating differences between the distributions. In contrast, the points in step 3 fall approximately along a straight line, suggesting that the distributions are more closely aligned. (B) Differences in the cumulative distribution functions between the real marmoset data and the simulated models were also evaluated. A smaller difference in CDFs indicates a better fit, with the step 3 model more effectively replicating the real marmoset SRT distribution than step 1.
Supplementary Figure 3Cumulative distribution of individual Marmoset SRTs and our Model. The figure illustrates how closely the model captures the overall SRT distribution of individual marmosets.
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Summary
Keywords
Callithrix jacchus, gap saccade task, neural field model, reaction time, inhibition, visual response
Citation
Amly W, Chen C-Y and Isa T (2024) Modeling saccade reaction time in marmosets: the contribution of earlier visual response and variable inhibition. Front. Syst. Neurosci. 18:1478019. doi: 10.3389/fnsys.2024.1478019
Received
09 August 2024
Accepted
07 October 2024
Published
23 October 2024
Volume
18 - 2024
Edited by
Marcello Rosa, Monash University, Australia
Reviewed by
Joanita D’Souza, Monash University, Australia
Bruss Lima, Federal University of Rio de Janeiro, Brazil
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Copyright
© 2024 Amly, Chen and Isa.
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.
*Correspondence: Tadashi Isa, isa.tadashi.7u@kyoto-u.ac.jp
Disclaimer
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.







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