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AN UPDATED TIME-OPTIMAL 3RD-ORDER LINEAR SACCADIC EYE PLANT MODEL

WEI ZHOU

University of Connecticut, 260 Glenbrook Road, Storrs, CT 06269-2247, USA

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XINNIAN CHEN

University of Connecticut, 260 Glenbrook Road, Storrs, CT 06269-2247, USA

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, and

JOHN ENDERLE

University of Connecticut, 260 Glenbrook Road, Storrs, CT 06269-2247, USA

Corresponding author.

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https://doi.org/10.1142/S0129065709002051Cited by:20 (Source: Crossref)

Abstract

A linear third-order model of the ocular motor plant for horizontal saccadic eye movements is presented consisting of a linear ocular motor plant and a time-optimal saccadic controller based on physiological considerations. The ocular motor plant consists of the eyeball and two extraocular muscles. All parameters and initial conditions are estimated or measured from physiological data. The neural inputs are described by pulse-slide-step waveforms with a post inhibitory rebound burst and based on a time-optimal controller. Model parameters are estimated using the system identification technique. The static and dynamic behaviors of the model are in excellent agreement with the experimental data.

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References

R. W. Andersonet al., J. Neurophysiol. 80, 798 (1998). Crossref, Medline, Web of Science, Google Scholar
S. R. Andersonet al., J. Neurophysiol. 101, 2907 (2009), DOI: 10.1152/jn.91045.2008. Crossref, Medline, Web of Science, Google Scholar
A. T. Bahill, M. R. Clark and L. Stark, Exp. Neurol. 48, 107 (1975), DOI: 10.1016/0014-4886(75)90226-5. Crossref, Medline, Web of Science, Google Scholar
A. T. Bahill, J. R. Latimer and B. T. Troost, IEEE Trans. Biomed. Eng. 27, 631 (1980). Medline, Web of Science, Google Scholar
K. E. Cullenet al., J. Comput. Neurosci. 3(4), 347 (1996), DOI: 10.1007/BF00161093. Crossref, Medline, Web of Science, Google Scholar
S. Das, N. J. Gandhi and E. L. Keller, Biol. Cybern. 73, 509 (1995), DOI: 10.1007/BF00199543. Crossref, Medline, Web of Science, Google Scholar
L. Dell'Osso, Models of the Visual System, eds. G. Hung and K. Ciuffreda (Kluwer Academic/Plenum Publishers, New York, 2002) pp. 711–739. Crossref, Google Scholar
F. Donders, Holland Beitr. Anat, Physiol. Wiss. 1, 104 (1848). Google Scholar
J. D. Enderle, S. M. Blanchard and J. D. Bronzino, Introduction to Biomedical Engineering (Academic Press, San Diego, CA, 2005) pp. 723–772. Google Scholar
J. D. Enderle, Prog. Brain Res. 140, 21 (2002), DOI: 10.1016/S0079-6123(02)40040-4. Crossref, Medline, Web of Science, Google Scholar
J. D. Enderle and E. J. Engelken, Biomedical Sciences Instrumentation 31, 53 (1995). Medline, Google Scholar
J. D. Enderle and R. N. Stiles, IEEE Trans. Biomed. Eng. 38, 1235 (1991), DOI: 10.1109/10.137289. Crossref, Medline, Web of Science, Google Scholar
J. D. Enderle and J. W. Wolfe, IEEE Trans. Biomed. Eng. 34(1), 43 (1987). Medline, Web of Science, Google Scholar
J. D. Enderle and J. W. Wolfe, Comput. Biol. Med. 18(3), 195 (1988), DOI: 10.1016/0010-4825(88)90046-7. Crossref, Medline, Web of Science, Google Scholar
J. D. Enderle, J. W. Wolfe and J. T. Yates, IEEE Trans. Biomed. Eng. 31(11), 717 (1984). Medline, Web of Science, Google Scholar
A. F. Fuchs and E. S. Luschei, J. Neurophysiol. 33(3), 382 (1970). Crossref, Medline, Web of Science, Google Scholar
A. F. Fuchs, C. Kaneko and C. Scudder, Ann. Rev. Neurosci. 8, 307 (1985), DOI: 10.1146/annurev.ne.08.030185.001515. Crossref, Medline, Web of Science, Google Scholar
G. Gancarz and S. Grossberg, Neural Netw. 11(7–8), 1159 (1998), DOI: 10.1016/S0893-6080(98)00096-3. Crossref, Medline, Web of Science, Google Scholar
N. J. Gandhi and E. L. Keller, J. Neurophysiol. 76, 2221 (1997). Medline, Web of Science, Google Scholar
B. Girard and A. Berthoz, Prog. Neurobiol. 77(4), 215 (2005). Crossref, Medline, Web of Science, Google Scholar
H. Goldstein, The Neural Encoding of Saccades in the Rhesus Monkey (Ph.D. dissertation). Baltimore, MD: The Johns Hopkins University (1983) . Google Scholar
H. Goldstein and D. Robinson, Society for Neuroscience Abstracts 10, 909 (1984). Google Scholar
C. M. Harris and D. M. Wolpert, Biol. Cybern. 95(1), 21 (2006), DOI: 10.1007/s00422-006-0064-x. Crossref, Medline, Web of Science, Google Scholar
T. Haslwanteret al., Ann. NY Acad. Sci. 1039, 9 (2005), DOI: 10.1196/annals.1325.002. Crossref, Medline, Web of Science, Google Scholar
X. Huet al., PNAS 8137 (2007), DOI: 10.1073/pnas.0702799104. Medline, Web of Science, Google Scholar
J. B. Jacobs and L. F. Dell'Osso, J. Vis. 4(7), 604 (2004), DOI: 10.1167/4.7.7. Medline, Web of Science, Google Scholar
C. Kaneko, J. Neurophysiol. 95(2), 979 (2006), DOI: 10.1152/jn.00760.2005. Crossref, Medline, Web of Science, Google Scholar
Z. Kapoula, D. A. Robinson and T. C. Hain, Exp. Brain Res. 61, 386 (1986), DOI: 10.1007/BF00239527. Medline, Web of Science, Google Scholar
R. J. Krauzlis, The Neuroscientist 11(2), 124 (2005), DOI: 10.1177/1073858404271196. Crossref, Medline, Web of Science, Google Scholar
L. Linget al., J. Neurophysiol. 98(6), 3581 (2007), DOI: 10.1152/jn.00992.2007. Crossref, Medline, Web of Science, Google Scholar
L. Manfrediet al., Implementation of a neurophysiological model of saccadic eye movements on an anthropomorphic robotic head, Humanoid Robots, 2006 6th IEEE-RAS International Conference (2006) pp. 438–443. Google Scholar
J. Miller, Orbit 1.8 Gaze Mechanics Simulation: User's Manual (1999) . Google Scholar
K. Miura and L. Optican, J. Comput. Neurosci. 20, 25 (2006), DOI: 10.1007/s10827-006-4258-y. Crossref, Medline, Web of Science, Google Scholar
D. P. Munoz and R. H. Wurtz, J. Neurophysiol. 73, 2313 (1995). Crossref, Medline, Web of Science, Google Scholar
D. P. Munoz and R. H. Wurtz, J. Neurophysiol. 73, 2334 (1995). Crossref, Medline, Web of Science, Google Scholar
L. M. Optican and F. A. Miles, J. Neurophysiol. 54(4), 940 (1985). Crossref, Medline, Web of Science, Google Scholar
J. Porrill, P. A. Warren and P. Dean, Vision Res. 40(27), 3743 (2000), DOI: 10.1016/S0042-6989(00)00211-X. Crossref, Medline, Web of Science, Google Scholar
C. Quaia and L. M. Optican, J. Neurophysiol. 79(6), 3197 (1998). Crossref, Medline, Web of Science, Google Scholar
C. Quaia and L. M. Optican, Strabismus 11(1), 17 (2003), DOI: 10.1076/stra.11.1.17.14088. Crossref, Medline, Google Scholar
S. Ramatet al., Brain 1 (2007). Google Scholar
S. Ramatet al., Exp. Brain Res. 160, 89 (2005), DOI: 10.1007/s00221-004-1989-8. Crossref, Medline, Web of Science, Google Scholar
T. Raphan, Three-Dimensional Kinematic Principles of Eye, Head, and Limb Movements in Health and Disease, eds. T. H. M. Fetter, H. Misslisch and D. Tweed (Harwood Academic, The Netherlands, 1997) pp. 20–27. Google Scholar
D. A. Robinson, Models of Oculomotor Behavior and Control, ed. B. L. Zuber (CRC Press, Boca Raton, FL, 1981) pp. 21–41. Google Scholar
D. A. Robinson, Invest. Ophthalmol. 14(11), 801 (1975). Medline, Google Scholar
D. A. Robinson, J. Neurophysiol. 33, 393 (1970). Crossref, Medline, Web of Science, Google Scholar
C. Schnabolk and T. Raphan, J. Neurophysiol. 71(2), 623 (1994). Crossref, Medline, Web of Science, Google Scholar
S. Schutteet al., Vision Res. 46(11), 1724 (2006), DOI: 10.1016/j.visres.2005.11.022. Crossref, Medline, Web of Science, Google Scholar
C. A. Scudder, C. Kaneko and A. Fuchs, Exp. Brain Res. 142, 439 (2002), DOI: 10.1007/s00221-001-0912-9. Crossref, Medline, Web of Science, Google Scholar
C. A. Scudderet al., J. Neurophysiol. 76(1), 332 (1996). Crossref, Medline, Web of Science, Google Scholar
C. A. Scudder, J. Neurophysiol. 59(5), 1455 (1988). Crossref, Medline, Web of Science, Google Scholar
S. Sklavoset al., J. Neurophysiol. 95(2), 774 (2006), DOI: 10.1152/jn.00584.2005. Crossref, Medline, Web of Science, Google Scholar
S. Sklavoset al., Vision Res. 45(12), 1525 (2005), DOI: 10.1016/j.visres.2005.01.005. Crossref, Medline, Web of Science, Google Scholar
D. L. Sparks, Nat. Rev. Neurosci. 3(12), 952 (2002), DOI: 10.1038/nrn986. Crossref, Medline, Web of Science, Google Scholar
D. L. Sparks, R. Holland and B. L. Guthrie, Brain Res. 113, 21 (1976), DOI: 10.1016/0006-8993(76)90003-2. Crossref, Medline, Web of Science, Google Scholar
P. A. Sylvestre and K. E. Cullen, J. Neurophysiol. 82(5), 2612 (1999). Crossref, Medline, Web of Science, Google Scholar
P. Thieret al., Nature 405, 72 (2000), DOI: 10.1038/35011062. Crossref, Medline, Web of Science, Google Scholar
D. Tweed and T. Vilis, J. Neurophysiol. 58(4), 832 (1987). Crossref, Medline, Web of Science, Google Scholar
J. A. Van Gisbergen, D. A. Robinson and S. Gielen, J. Neurophysiol. 45(3), 417 (1981). Crossref, Medline, Web of Science, Google Scholar
H. von Helmholtz, Handbuch der Physiologischen Optik (1867) . Google Scholar
Z. Wanget al., Vision Res. 46(14), 2259 (2006), DOI: 10.1016/j.visres.2006.01.008. Crossref, Medline, Web of Science, Google Scholar
P. A. Warren, J. Porrill and P. Dean, Biol. Cybern. 91(1), 1 (2004), DOI: 10.1007/s00422-004-0486-2. Crossref, Medline, Web of Science, Google Scholar
R. B. Weber and R. B. Daroff, Vision Res. 12, 467 (1972), DOI: 10.1016/0042-6989(72)90090-9. Crossref, Medline, Web of Science, Google Scholar
G. Westheimer, AMA Arch. Ophthalmol. 52(5), 710 (1954). Crossref, Medline, Web of Science, Google Scholar
D. M. Westine and J. D. Enderle, Biomedical Sciences Instrumentation 24, 175 (1988). Medline, Google Scholar