Mathematical Models of Bacterial Track-Altering Motors

Start: 02/26/2014 - 1:15pm
End  : 02/26/2014 - 2:15pm

Applied Math Seminar

Blerta Shtylla (Pomona College)


The appropriate localization of proteins inside a cell is vital for the maintenance of cell function. Proteins can reach specific locations in a variety of ways, however directed movement frequently requires the rectification of Brownian motion. A exotic and rich variety of mechanisms can be used to generate directed movement, here we will focus on a bacterial track-altering motor complex that is employed to segregate replicated chromosome regions to specific locations in the cell. We develop and analyze various simplified mathematical models that examine how diffusion and ATP-hydrolysis mediated monomer removal can be combined to power directed movement. Using a mean first passage approach and stochastic simulations, we discuss how to calculate the effective track cleaving velocities and effective dispersion coefficient for the bacterial track-altering motor. We conclude by giving an overview of the biological implications of our model results.

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