Literature DB >> 15293016

Traveling wave solutions for a one-dimensional crawling nematode sperm cell model.

Y S Choi1, Juliet Lee, Roger Lui.   

Abstract

In this paper, we proved that the one-dimensional crawling nematode sperm cell model proposed by Mogilner and Verzi (2003) supports traveling wave solutions if there is no disassembly of unbundled filaments in the cell. Uniqueness of traveling wave is established under additional assumptions and numerical examples are also given in the paper. Mathematical methods used include dynamical system techniques, implicit function theorem and global bifurcation theory.

Mesh:

Year:  2004        PMID: 15293016     DOI: 10.1007/s00285-003-0255-1

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  12 in total

1.  Cytoplasm dynamics and cell motion: two-phase flow models.

Authors:  W Alt; M Dembo
Journal:  Math Biosci       Date:  1999-03-01       Impact factor: 2.144

2.  Regulation of actin dynamics in rapidly moving cells: a quantitative analysis.

Authors:  Alex Mogilner; Leah Edelstein-Keshet
Journal:  Biophys J       Date:  2002-09       Impact factor: 4.033

3.  A Simple 1-D Physical Model for the Crawling Nematode Sperm Cell.

Authors:  A Mogilner; D W Verzi
Journal:  J Stat Phys       Date:  2003-03-01       Impact factor: 1.548

4.  Mathematical model for the effects of adhesion and mechanics on cell migration speed.

Authors:  P A DiMilla; K Barbee; D A Lauffenburger
Journal:  Biophys J       Date:  1991-07       Impact factor: 4.033

5.  Kinetics of cell detachment: peeling of discrete receptor clusters.

Authors:  M D Ward; M Dembo; D A Hammer
Journal:  Biophys J       Date:  1994-12       Impact factor: 4.033

6.  A computational model of ameboid deformation and locomotion.

Authors:  D C Bottino; L J Fauci
Journal:  Eur Biophys J       Date:  1998       Impact factor: 1.733

7.  Cell motion, contractile networks, and the physics of interpenetrating reactive flow.

Authors:  M Dembo; F Harlow
Journal:  Biophys J       Date:  1986-07       Impact factor: 4.033

8.  New physical concepts for cell amoeboid motion.

Authors:  E Evans
Journal:  Biophys J       Date:  1993-04       Impact factor: 4.033

9.  On the mechanisms of growth cone locomotion: modeling and computer simulation.

Authors:  G H Li; C D Qin; M H Li
Journal:  J Theor Biol       Date:  1994-08-21       Impact factor: 2.691

10.  Motion of polymorphonuclear leukocytes: theory of receptor redistribution and the frictional force on a moving cell.

Authors:  M Dembo; L Tuckerman; W Goad
Journal:  Cell Motil       Date:  1981
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  3 in total

1.  Transport of a 1D viscoelastic actin-myosin strip of gel as a model of a crawling cell.

Authors:  Kamila Larripa; Alex Mogilner
Journal:  Physica A       Date:  2006-12-01       Impact factor: 3.263

Review 2.  Mathematics of cell motility: have we got its number?

Authors:  Alex Mogilner
Journal:  J Math Biol       Date:  2008-05-07       Impact factor: 2.259

3.  Continuum modeling and numerical simulation of cell motility.

Authors:  Neil Hodge; Panayiotis Papadopoulos
Journal:  J Math Biol       Date:  2011-06-28       Impact factor: 2.259

  3 in total

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