On the existence of a travelling wave solution for a model of actin-based bacterial movement

Some bacteria like Listeria monocytogenes, Shigella and Rickettsia Rickettsii can move inside the host cell thanks to an actin tail. In this paper a one-dimensional model for the motion of these bacteria, introduced by B. Bazaliy, Y. Bazaliy, and A. Friedman (2007) in [2], is studied. In particular,...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2010-12, Vol.372 (2), p.423-438
Main Authors: Melillo, S., Montefusco, E.
Format: Article
Language:English
Subjects:
Actin-based motion
Exact sciences and technology
Mathematical analysis
Mathematics
Nonlinear algebraic and transcendental equations
Numerical analysis
Numerical analysis. Scientific computation
Ode
Partial differential equations
Partial differential equations, boundary value problems
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
Traveling wave
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Summary:Some bacteria like Listeria monocytogenes, Shigella and Rickettsia Rickettsii can move inside the host cell thanks to an actin tail. In this paper a one-dimensional model for the motion of these bacteria, introduced by B. Bazaliy, Y. Bazaliy, and A. Friedman (2007) in [2], is studied. In particular, the model is a system of partial differential equation with two moving boundaries for which we prove the existence of a travelling wave solution.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.07.015