A deterministic model for the occurrence and dynamics of multiple mutations in hierarchically organized tissues

2013/05/14 by B. Werner, Benjamin Werner, David Dingli +6 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #Cancer Genomics and Diagnostics #Evolution and Genetic Dynamics #FOS: Biological sciences #Mathematical Biology Tumor Growth #Populations and Evolution (q-bio.PE) #q-bio.PE

paper · pdf · doi:10.48550/arxiv.1305.3043

4 figures, to appear in Royal Society Interface

arxiv created 2013/05/14 · openalex publication_date 2013/05/14 · arxiv updated 2013/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We model a general, hierarchically organized tissue by a multi compartment approach, allowing any number of mutations within a cell. We derive closed solutions for the deterministic clonal dynamics and the reproductive capacity of single clones. Our results hold for the average dynamics in a hierarchical tissue characterized by an arbitrary combination of proliferation parameters.

Citations

• Stochastic Simulation of Chemical Kinetics

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