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arXiv · 2106.05955

Bayesian inference of a non-local proliferation model

Zuzanna Szymańska·Jakub Skrzeczkowski·Błażej Miasojedow·Piotr Gwiazda
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Abstract

From a systems biology perspective the majority of cancer models, although interesting and providing a qualitative explanation of some problems, have a major disadvantage in that they usually miss a genuine connection with experimental data. Having this in mind, in this paper, we aim at contributing to the improvement of many cancer models which contain a proliferation term. To this end, we propose a new non-local model of cell proliferation. We select data which are suitable to perform a Bayesian inference for unknown parameters and we provide a discussion on the range of applicability of the model. Furthermore, we provide proof of the stability of a posteriori distributions in total variation norm which exploits the theory of spaces of measures equipped with the weighted flat norm. In a companion paper, we provide a detailed proof of the well-posedness of the problem and we investigate the convergence of the EBT algorithm applied to solve the equation.

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Zuzanna Szymańska, Jakub Skrzeczkowski, Błażej Miasojedow, Piotr Gwiazda. 2021-06-10. Bayesian inference of a non-local proliferation model. https://doi.org/10.1098/rsos.211279

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