Abstract:ORIGINALITY STATEMENT'I hereby declare that this submission is my own work and to the best of my knowledge it contains no materials previously published or written by another person, or substantial proportions of material which have been accepted for the award of any other degree or diploma at UNSW or any other educational institution, except where due acknowledgement is made in the thesis. Any contribution made to the research by others, with whom I have worked at UNSW or elsewhere, is explicitly acknowledged… Show more
“…This model has since been further developed, in various directions, for various purposes, such as handling different electrode stimulation techniques, using finite element implementation, and incorporating more details of the retina [28,72,73,27,57,1,4]. Numerous studies have been conducted based on the various versions of this model and have largely been concerned with visual prosthetics and/or electrical stimulation of the retina [2,58,59,3,5]. Given the scope of their work, the model proposed by Dokos et al does not accurately describe the entire geometry of the retina and makes no attempt to model the entirety of the vitreous chamber.…”
mentioning
confidence: 99%
“…A dissimilar multi-domain model of the retina, based on Dokos et al, has been proposed [4]. The multiple domains in that model represent the different compartments of the retinal ganglion cells, such as the dendrites, soma and axon, rather than different cell-types [4,3,5].…”
We present a detailed physiological model of the retina that includes the biochemistry and electrophysiology of phototransduction, neuronal electrical coupling, and the spherical geometry of the eye. The model is a parabolic-elliptic system of partial differential equations based on the mathematical framework of the bi-domain equations, which we have generalized to account for multiple cell-types. We discretize in space with non-uniform finite differences and step through time with a custom adaptive time-stepper that employs a backward differentiation formula and an inexact Newton method. A refinement study confirms the accuracy and efficiency of our numerical method. Numerical simulations using the model compare favorably with experimental findings, such as desensitization to light stimuli and calcium buffering in photoreceptors. Other numerical simulations suggest an interplay between photoreceptor gap junctions and inner segment, but not outer segment, calcium concentration. Applications of this model and simulation include analysis of retinal calcium imaging experiments, the design of electroretinograms, the design of visual prosthetics, and studies of ephaptic coupling within the retina.
“…This model has since been further developed, in various directions, for various purposes, such as handling different electrode stimulation techniques, using finite element implementation, and incorporating more details of the retina [28,72,73,27,57,1,4]. Numerous studies have been conducted based on the various versions of this model and have largely been concerned with visual prosthetics and/or electrical stimulation of the retina [2,58,59,3,5]. Given the scope of their work, the model proposed by Dokos et al does not accurately describe the entire geometry of the retina and makes no attempt to model the entirety of the vitreous chamber.…”
mentioning
confidence: 99%
“…A dissimilar multi-domain model of the retina, based on Dokos et al, has been proposed [4]. The multiple domains in that model represent the different compartments of the retinal ganglion cells, such as the dendrites, soma and axon, rather than different cell-types [4,3,5].…”
We present a detailed physiological model of the retina that includes the biochemistry and electrophysiology of phototransduction, neuronal electrical coupling, and the spherical geometry of the eye. The model is a parabolic-elliptic system of partial differential equations based on the mathematical framework of the bi-domain equations, which we have generalized to account for multiple cell-types. We discretize in space with non-uniform finite differences and step through time with a custom adaptive time-stepper that employs a backward differentiation formula and an inexact Newton method. A refinement study confirms the accuracy and efficiency of our numerical method. Numerical simulations using the model compare favorably with experimental findings, such as desensitization to light stimuli and calcium buffering in photoreceptors. Other numerical simulations suggest an interplay between photoreceptor gap junctions and inner segment, but not outer segment, calcium concentration. Applications of this model and simulation include analysis of retinal calcium imaging experiments, the design of electroretinograms, the design of visual prosthetics, and studies of ephaptic coupling within the retina.
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