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Each muscle is modeled as a parallel combination of viscosity [Formula: see text] and series elasticity [Formula: see text] connected to the parallel combination of active-state tension generator [Formula: see text], viscosity element [Formula: see text], and length tension elastic element [Formula: see text]. Additionally, passive tissues involving the eyeball include a viscosity element [Formula: see text], elastic element [Formula: see text], and moment of inertia [Formula: see text]. The neural input for each muscle is separately maintained, whereas the effective pulling direction is modulated by its respective mid-orbital constraint from the pulleys. Initial parameter values for the oculomotor plant are based on anatomical and physiological evidence. The oculomotor plant uses a time-optimal, 2D commutative neural controller, together with the pulley system that actively functions to implement Listing\u2019s law during both static and dynamic conditions. In a companion paper, the dynamic characteristics of the saccade model is analyzed using a time domain system identification technique to estimate the final parameter values and neural inputs from saccade data. An excellent match between the model estimates and the data is observed, whereby a total of 20 horizontal, 5 vertical, and 64 oblique saccades are analyzed.<\/jats:p>","DOI":"10.1142\/s0129065717500496","type":"journal-article","created":{"date-parts":[[2017,10,20]],"date-time":"2017-10-20T11:43:00Z","timestamp":1508499780000},"page":"1750049","source":"Crossref","is-referenced-by-count":0,"title":["Static Characteristics of a New Three-Dimensional Linear Homeomorphic Saccade Model"],"prefix":"10.1142","volume":"28","author":[{"given":"Wei","family":"Zhou","sequence":"first","affiliation":[{"name":"Department of Biomedical Engineering, University of Connecticut, 260 Glenbrook Road, Storrs, CT 06269-3247, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiu","family":"Zhai","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, University of Connecticut, 260 Glenbrook Road, Storrs, CT 06269-3247, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alireza","family":"Ghahari","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering, University of Connecticut, 260 Glenbrook Road, Storrs, CT 06269-3247, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G. 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