Faculty Advisor

Olson, Sarah D

Abstract

We develop a system of ODEs to model the change in calcium concentration in Arbacia punctulata sperm flagella in response to chemotactic signaling. The change in calcium concentration is dependent on membrane voltage, which is in turn dependent on ion channel mechanics. We assume the ion channels can be modeled using Hodgkin-Huxley equations. We numerically solve the system of coupled non-linear ODEs and present the results for membrane voltage and calcium concentration. Experimental data, parameter estimation, and future plans to use this model to gain insight into sperm movement are discussed.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2013

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

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