A stochastic framework for secondary metastatic emission
Résumé
In this note, we bridge a gap between two descriptions of metastatic growth. The first is a deterministic model introduced by Iwata et al. and includes secondary metastatic emission, the other is a stochastic description without secondary metastatic emission. Here we propose a stochastic model with secondary metastatic emission, described in terms of a cascade of Poisson point processes. We show that the Iwata model describes the mean behaviour of our stochastic model. Furthermore, the variation due to the stochasticity of emission is evaluated for published clinical parameters.
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