Regulation of differentiation in a population of cells interacting through a common pool

DOI10.1007/BF00276372zbMath0713.92003OpenAlexW2008536160WikidataQ52579988 ScholiaQ52579988MaRDI QIDQ750333

D. Kharzeev

Publication date: 1988

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276372

zbMATH Keywords

cell differentiationGierer-Meinhardt equationschemical concentrationsdifferentiation of multi-cellular organismsproportion regulationsuspension of a cell populationwell-mixed medium

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Stability of solutions to ordinary differential equations (34D20) Developmental biology, pattern formation (92C15) Stability theory for ordinary differential equations (34D99)

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Cites Work

• Spontaneous oscillations in two 2-component cells coupled by diffusion
• Pattern formation in morphogenesis. Analytical treatment of the Gierer- Meinhardt model on a sphere
• Spatial patterns in coupled biochemical oscillators
• The effects of cell density and metabolite flux on cellular dynamics
• Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
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