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. (C) 2010 Elsevier Inc. All rights reserved.
On the existence of a travelling wave solution for a model of actin-based bacterial movement / S., Melillo; Montefusco, Eugenio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 372:2(2010), pp. 423-438. [10.1016/j.jmaa.2010.07.015]
On the existence of a travelling wave solution for a model of actin-based bacterial movement
MONTEFUSCO, Eugenio
2010
Abstract
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. (C) 2010 Elsevier Inc. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
