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Using a high-resolution dataset from 242 healthy participants, we modeled primary saccadic shifts and post-saccadic oscillations (PSO) using a combined sigmoidal Boltzmann and damped harmonic oscillator approach. Our framework demonstrates that even after correcting for pupil foreshortening error, the pupillary signal contains physiological PSO-like oscillations that mirror gaze dynamics\u2014a phenomenon previously uncharacterized in the literature. To account for the non-normal, heavy-tailed distribution of oculomotor parameters, population characteristics were defined using t location-scale modeling. Non-parametric Wilcoxon signed-rank tests revealed significant directional asymmetries; specifically, leftward movements exhibited longer total durations (\u2206\n                    <jats:italic>t<\/jats:italic>\n                    ) and slower stabilization compared to rightward shifts. However, mechanical parameters such as oscillation amplitude and gaze baseline offsets remained directionally invariant (\n                    <jats:italic>p<\/jats:italic>\n                    \u2009&gt;\u20090.01), suggesting a decoupling between asymmetric neural motor preparation and symmetrical biomechanical constraints. By establishing high-precision baseline parameters in an extensive population, this model provides a foundation for using joint gaze-pupil signatures as sensitive biomarkers for detecting subtle oculomotor and autonomic dysfunctions.\n                  <\/jats:p>","DOI":"10.1038\/s41598-026-51489-9","type":"journal-article","created":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T17:44:15Z","timestamp":1777657455000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Unified modelling of gaze and pupil dynamics in saccadic tasks"],"prefix":"10.1038","volume":"16","author":[{"given":"Juli\u00e1n","family":"Espinosa","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marta","family":"Guisot","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Aurora","family":"Larrosa","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jorge","family":"P\u00e9rez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,5,1]]},"reference":[{"key":"51489_CR1","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1167\/14.3.7","volume":"14","author":"S Born","year":"2014","unstructured":"Born, S., Mottet, I. & Kerzel, D. 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