English

Reaction-Diffusion System in a Vesicle with Semi-Permeable Membrane

Statistical Mechanics 2009-11-11 v1 Soft Condensed Matter

Abstract

We study the Schloegl model in a vesicle with semi-permeable membrane. The diffusion constant takes a smaller value in the membrane region, which prevents the outflow of self-catalytic product. A nonequilibrium state is stably maintained inside of the vesicle. Nutrients are absorbed and waste materials are exhausted through the membrane by diffusion. It is interpreted as a model of primitive metabolism in a cell.

Keywords

Cite

@article{arxiv.cond-mat/0603360,
  title  = {Reaction-Diffusion System in a Vesicle with Semi-Permeable Membrane},
  author = {Hidetsugu Sakaguchi},
  journal= {arXiv preprint arXiv:cond-mat/0603360},
  year   = {2009}
}

Comments

8 pages, 6 figures

R2 v1 2026-07-22T11:29:45.581Z