Tumor Growth, R-Positivity, Multitype Branching and Quasistationarity

Motivated by tumor growth models we establish conditions for the R -positivity of Markov processes and positive matrices. We then apply them to obtain the asymptotic behavior of the tumors sizes in the supercritical regime.

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Bibliographic Details
Published inJournal of statistical physics Vol. 180; no. 1-6; pp. 427 - 439
Main Authors Ferrari, Analía, Groisman, Pablo, Ravishankar, Krishnamurthi
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2020
Springer
Springer Nature B.V
Subjects
Asymptotic properties
Employee motivation
Growth models
Markov processes
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Tumors
Quasi-stationary distribution
Döblin condition
R-positivity
Lyapunov functions
Tumor growth
Multi-type branching processes
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Summary:Motivated by tumor growth models we establish conditions for the R -positivity of Markov processes and positive matrices. We then apply them to obtain the asymptotic behavior of the tumors sizes in the supercritical regime.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-019-02456-4