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.
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Shearer, S.F.C., Sahoo, S., Sahoo, A. (2009). Stochastic Dynamics of Logistic Tumor Growth. In: Watanabe, O., Zeugmann, T. (eds) Stochastic Algorithms: Foundations and Applications. SAGA 2009. Lecture Notes in Computer Science, vol 5792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04944-6_17
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DOI: https://doi.org/10.1007/978-3-642-04944-6_17
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