Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/1729

Title: Spontaneous oscillations in a nonlinear delayed-feedback shunting model of the pupil light reflex
Authors: Bressloff, P.C.
Wood, C.V.
Issue Date: 1998
Publisher: © American Physical Society
Citation: BRESSLOFF and WOOD, 1998. Spontaneous oscillations in a nonlinear delayed-feedback shunting model of the pupil light reflex. Physical Review E, 58(3), pp. 3597–3605
Abstract: We analyze spontaneous oscillations in a second-order delayed-feedback shunting model of the pupil light reflex. This model describes in a simple fashion the nonlinear effects of both the iris and retinal parts of the reflex pathway. In the case of smooth negative feedback, linear stability analysis is used to determine the conditions for a Hopf bifurcation in the pupil area as a function of various neurophysiological parameters of the system such as the time delay and the strength of neural connections. We also investigate oscillation onset in the case of piecewise negative feedback and obtain an analytical expression for the period of oscillations. Finally, complex periodic behavior is shown to arise in the presence of mixed feedback.
Description: This article was published in the journal, Physical Review E [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRE/v58/p3597.
URI: https://dspace.lboro.ac.uk/2134/1729
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
phys_rev_e.pdf211.13 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.