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Amplification in a Stochastic Two Dimensional Model of Eukaryotic Gradient Sensing

Chuechote, Suparat
http://rave.ohiolink.edu/etdc/view?acc_num=case1275677341

Abstract Details

2010, Master of Sciences, Case Western Reserve University, Mathematics.
Chemotaxis is the directed migration of cells guided by chemical gradients. Chemotaxis combinesseveral biological mechanisms, the first of which is gradient sensing. The accuracy with which a cell can determine the direction of an external chemical gradient is limited by fluctuations arising from the discrete nature of second messenger release and diffusion processes within the small volume of a living cell. We implement a stochastic version a Balanced Inactivation gradient sensing model introduced by Levine et al. 2006 in a two dimensional geometry. We develop a fixed timestep approach in which the probabilities of individual molecules making chemical transitions is handled as a system of multinomial random variables. With this numerical platform we investigate the relationship between the amplification of the gradient signal, nonlinear saturation at large gradients, and fundamental limits on the accuracy of the gradient sensing mechanism.
Peter Thomas (Advisor)
Peter Thomas (Committee Chair)
Erkki Somersalo (Committee Member)
Harihara Baskaran (Committee Member)
Ampli¿¿¿¿¿¿cation; STOCHASTIC; Markov transition; GRADIENT

Recommended Citations

Citations

  • Chuechote, S. (2010). Amplification in a Stochastic Two Dimensional Model of Eukaryotic Gradient Sensing [Master's thesis, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1275677341

    APA Style (7th edition)

  • Chuechote, Suparat. Amplification in a Stochastic Two Dimensional Model of Eukaryotic Gradient Sensing. 2010. Case Western Reserve University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1275677341.

    MLA Style (8th edition)

  • Chuechote, Suparat. "Amplification in a Stochastic Two Dimensional Model of Eukaryotic Gradient Sensing." Master's thesis, Case Western Reserve University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=case1275677341

    Chicago Manual of Style (17th edition)

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© 2010, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.