# Avalanche of Bifurcations and Hysteresis in a Model of Cellular Differentiation

Source: [Avalanche of Bifurcations and Hysteresis in a Model of Cellular Differentiation](<https://www.sota2.com/research/paper/68fa26412c2a3760193b8357>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:15:49.903Z

Authors: Gabor Fath, Zbigniew Domanski

Published: 2003-09-16T14:08:10.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/nlin/0309046>)

[PDF](<https://arxiv.org/pdf/nlin/0309046.pdf>)