Signal propagation and failure in discrete autocrine relays

Cyrill B. Muratov, Stanislav Y. Shvartsman

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


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.

Original languageEnglish (US)
Article number118101
Pages (from-to)118101-1-118101-4
JournalPhysical review letters
Issue number11
StatePublished - Sep 10 2004

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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