Literature DB >> 17358214

Transient and steady state of mass-conserved reaction-diffusion systems.

Shuji Ishihara1, Mikiya Otsuji, Atsushi Mochizuki.   

Abstract

Reaction-diffusion systems with mass conservation are studied. In such systems, abrupt decays of stripes follow quasistationary states in sequence generally. We give a stability condition of steady state which the system reaches after long transient time. It is also shown that there exist systems in which a single-stripe pattern is solely steady state for an arbitrary size of the systems. The applicability to cell biology is discussed.

Year:  2007        PMID: 17358214     DOI: 10.1103/PhysRevE.75.015203

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  6 in total

1.  Flow Induced Symmetry Breaking in a Conceptual Polarity Model.

Authors:  Manon C Wigbers; Fridtjof Brauns; Ching Yee Leung; Erwin Frey
Journal:  Cells       Date:  2020-06-23       Impact factor: 6.600

2.  Why a Large-Scale Mode Can Be Essential for Understanding Intracellular Actin Waves.

Authors:  Carsten Beta; Nir S Gov; Arik Yochelis
Journal:  Cells       Date:  2020-06-23       Impact factor: 6.600

3.  Small GTPase patterning: How to stabilise cluster coexistence.

Authors:  Bas Jacobs; Jaap Molenaar; Eva E Deinum
Journal:  PLoS One       Date:  2019-03-07       Impact factor: 3.240

Review 4.  Compete or Coexist? Why the Same Mechanisms of Symmetry Breaking Can Yield Distinct Outcomes.

Authors:  Andrew B Goryachev; Marcin Leda
Journal:  Cells       Date:  2020-09-01       Impact factor: 6.600

5.  A mass conserved reaction-diffusion system captures properties of cell polarity.

Authors:  Mikiya Otsuji; Shuji Ishihara; Carl Co; Kozo Kaibuchi; Atsushi Mochizuki; Shinya Kuroda
Journal:  PLoS Comput Biol       Date:  2007-04-30       Impact factor: 4.475

Review 6.  Self-organization principles of intracellular pattern formation.

Authors:  J Halatek; F Brauns; E Frey
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2018-05-26       Impact factor: 6.237

  6 in total

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