Modeling the Cascade of Reactions in Visual Transduction

Author

Philip Torry Patton, University of Tennessee, Knoxville

Date of Award

8-2004

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

Vasilios Alexiades

Committee Members

Charles Collins, Sam Jordan

Abstract

Phototransduction in the process by which light energy is transferred to an electrical potential by photoreceptors in the eye. Recently, Hamer et al proposed a mechanism for the cascade of reactions that occurs when a rhodopsin molecule on the surface of a disc in the rod photoreceptor becomes activated. From these reactions, one can derive a system of ordinary differential equations to simulate phototransduction.

These ODEs are solved numerically using forward Euler’s method. The products of this cascade are then used to predict the drop in photocurrent that occurs. A kinetic Monte Carlo simulation with the Gillespie algorithm is implemented to model the cascade of reactions. The results of these models are then compared with the study of Hamer et al [3], showing agreement.

Recommended Citation

Patton, Philip Torry, "Modeling the Cascade of Reactions in Visual Transduction. " Master's Thesis, University of Tennessee, 2004.
https://trace.tennessee.edu/utk_gradthes/4805