Stochastic dynamics of logistic tumor growth

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Abstract

We investigate the effect of Gaussian white noises on the logistic growth of tumors. The model consists of the logistic growth dynamics under the influence of two Gaussian white noises, one multiplicative and the other additive. Both noises are correlated with each other. We study diverse aspects of the probability distribution of the size of the growing tumour both in the transient and steady-state regime. The simulation is based on the solution of the time-dependent Fokker-Planck equation associated with stochastic dynamics using B-spline functions. © Springer-Verlag 2009.

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Shearer, S. F. C., Sahoo, S., & Sahoo, A. (2009). Stochastic dynamics of logistic tumor growth. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5792 LNCS, pp. 206–220). https://doi.org/10.1007/978-3-642-04944-6_17

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