Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2003-09-16
Physical Review E 60 (4), 4604 (1999)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1103/PhysRevE.60.4604
Cellular differentiation in a developping organism is studied via a discrete bistable reaction-diffusion model. A system of undifferentiated cells is allowed to receive an inductive signal emenating from its environment. Depending on the form of the nonlinear reaction kinetics, this signal can trigger a series of bifurcations in the system. Differentiation starts at the surface where the signal is received, and cells change type up to a given distance, or under other conditions, the differentiation process propagates through the whole domain. When the signal diminishes hysteresis is observed.
Domanski Zbigniew
Fáth Gabor
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