Signal propagation and failure in discrete autocrine relays

Document Type

Article

Publication Date

9-10-2004

Abstract

The mechanistic model of discrete one-dimensional arrays of autocrine cells interacting via diffusible signals is discussed. The model was reduced to a system of ordinary differential equations for the intercellular variables. The uniform secretion of s by the nth cell at the bottom of the layer was controlled by an intercellular species with concentration p n. The result show the exact discrete traveling wave and static kink solution with sharp threshold nonlinearity.

Identifier

19644370993 (Scopus)

Publication Title

Physical Review Letters

External Full Text Location

https://doi.org/10.1103/PhysRevLett.93.118101

ISSN

00319007

PubMed ID

15447382

First Page

1

Last Page

118101

Issue

11

Volume

93

Grant

DMS-0211864

Fund Ref

National Science Foundation

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