Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/20400
Author(s): | Laureano, R. D. Mendes, D. A. Grácio, C. Laureano, F. |
Date: | 2020 |
Title: | Searching for complexity in the human pupillary light reflex |
Volume: | 8 |
Number: | 3 |
Collection title and number: | Special Issue |
ISSN: | 2227-7390 |
DOI (Digital Object Identifier): | 10.3390/math8030394 |
Keywords: | Pupil Delay differential equations Dynamic stability Andronov–Hopf bifurcation |
Abstract: | This article aims to examine the dynamical characteristics of the pupillary light reflex and to provide a contribution towards their explanation based on the nonlinear theory of dynamical systems. To introduce the necessary concepts, terminology, and relevant features of the pupillary light reflex and its associated delay, we start with an overview of the human eye anatomy and physiology with emphasis on the iris, pupil, and retina. We also present the most highly regarded models for pupil dynamics found in the current scientific literature. Then we consider the model developed by Longtin and Milton, which models the human pupillary light reflex, defined by a nonlinear differential equation with delay, and present our study carried out on the qualitative and quantitative dynamic behavior of that neurophysiological control system. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | ISTAR-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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mathematics-08-00394.pdf | Versão Editora | 1,47 MB | Adobe PDF | View/Open |
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