A dynamical systems approach to actin-based motility in Listeria monocytogenes

A simple kinematic model for the trajectories of Listeria monocytogenes is generalized to a dynamical system rich enough to exhibit the resonant Hopf bifurcation structure of excitable media and simple enough to be studied geometrically. It is shown how L. monocytogenes trajectories and meandering s...

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Bibliographic Details
Published inarXiv.org
Main Author Hotton, Scott
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.11.2010
Subjects
Dynamical systems
Food irradiation
Hopf bifurcation
Listeria
Quantitative Biology - Quantitative Methods
Quantitative Biology - Subcellular Processes
Trajectories
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Summary:A simple kinematic model for the trajectories of Listeria monocytogenes is generalized to a dynamical system rich enough to exhibit the resonant Hopf bifurcation structure of excitable media and simple enough to be studied geometrically. It is shown how L. monocytogenes trajectories and meandering spiral waves are organized by the same type of attracting set.
ISSN:2331-8422
DOI:10.48550/arxiv.1002.5046