Analysis and application of a free energy model for lens protein mixtures

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dc.contributor.advisor Ross, David
dc.contributor.advisor Thurston, George
dc.contributor.advisor Wahle, Christopher Bell, Michael 2012-09-19T19:08:23Z 2012-09-19T19:08:23Z 2012-09
dc.description.abstract Cataract, the leading cause of blindness worldwide, has motivated a variety of investigations into the behavior of concentrated mixtures of eye lens proteins. While there has been success in modeling single protein solutions, a convenient model for mixtures is needed. We apply an analytically solvable sticky-hard sphere model to aqueous mixtures of alpha and gamma crystallin, two of the predominant proteins found in the mammalian eye lens. Developed by Baxter and Barboy, this model incorporates some of the fundamental characteristics of realistic mixtures, namely, variation in size and intermolecular attraction strength among each component. We show that light scattering intensities reconstructed from the model are in semi-quantitative agreement with experimental data. Our analysis of the model includes convenient algebraic reformulation for quantities used in light scattering expressions and using a parameter homotopy continuation method to solve a system of coupled quadratic equations arising in the model. Additionally, we derive analytic expressions for the second and third virial coefficients for the multicomponent sticky sphere potential, which describe the two and three body particle interactions, respectively. en_US
dc.language.iso en_US en_US
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dc.subject Alpha gamma crystallin en_US
dc.subject Baxter multicomponent sticky sphere model en_US
dc.subject Cataract en_US
dc.subject Lens protein mixtures en_US
dc.subject Light scattering en_US
dc.subject Virial coefficients en_US
dc.subject.lcc QE451 .B45 2012
dc.subject.lcsh Cataract--Prevention
dc.subject.lcsh Eye--Pathophysiology--Mathematical models
dc.subject.lcsh Crystalline lens
dc.subject.lcsh Proteins--Analysis
dc.subject.lcsh Eye--Molecular aspects
dc.title Analysis and application of a free energy model for lens protein mixtures en_US
dc.type Thesis en_US College of Science en_US
dc.description.department School of Mathematical Sciences en_US

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