One-dimensional free boundary problem for actin-based propulsion of Listeria |
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Authors: | Borys Bazaliy |
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Affiliation: | a Institute of Applied Mathematics and Mechanics, National Academy of Science of Ukraine, Donetsk, Ukraine b IBM Almaden Research Center, San Jose, CA, USA c Ohio State University, Department of Mathematics, Columbus, OH, USA |
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Abstract: | Some bacteria move inside cells by recruiting the actin filaments of the host cells. The filaments are polymerized at the back surface of the bacteria, and they move away, forming a “comet” tail behind the bacterium, which consists of gel network. We develop a one-dimensional mathematical model of the gel based on partial differential equations which involve the number of filaments, the density and velocity of the gel, and the pressure. The two end-points of the gel form two free boundaries. The resulting free boundary problem is rather non-standard. We prove local existence and uniqueness. |
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Keywords: | Free boundary problems Motion of bacteria |
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