Stochastic models of blood vessel growth

DOI10.1007/978-3-030-15096-9_13zbMath1442.82009OpenAlexW2955205323MaRDI QIDQ2181470

Filippo Terragni, Manuel Carretero, Luis L. Bonilla

Publication date: 19 May 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-15096-9_13

zbMATH Keywords

angiogenesisstochastic differential equationsbranching processreinforced random walkactive vessel tip modelcellular Potts modelshistory-dependent killing processintegrodifferential equation for active tip density

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Developmental biology, pattern formation (92C15) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Cell movement (chemotaxis, etc.) (92C17) Integro-partial differential equations (35R09)

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