A Markovian growth dynamics on rooted binary trees evolving according to the Gompertz curve

DOI10.1007/s10955-012-0549-zzbMath1465.92011arXiv0807.1750OpenAlexW2964180864MaRDI QIDQ453764

R. D. Portugal, Benar Fux Svaiter, Claudio Landim

Publication date: 27 September 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1750

zbMATH Keywords

agingmitosisGompertz curverandom binary treesgrowth process

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Cell biology (92C37) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Cites Work

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• The Aldous-Shields model revisited with application to cellular ageing
• Phase transition in a generalized Eden growth model on a tree
• A diffusion limit for a class of randomly-growing binary trees

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