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Mathematical Model Explaining the Role of CDC6 in the Diauxic Growth of CDK1 Activity during the M-Phase of the Cell Cycle
(MDPI, 2019)
In this paper we propose a role for the CDC6 protein in the entry of cells into mitosis. This has not been considered in the literature so far. Recent experiments suggest that CDC6, upon entry into mitosis, inhibits the ...
Convergence of the EBT method for a non-local model of cell proliferation with discontinuous interaction kernel
(Oxford University Press, 2022-02-02)
We consider the EBT algorithm (a particle method) for the nonlocal equation with a discontinuous interaction kernel. The main difficulty lies in the low regularity of the kernel, which is not Lipschitz continuous, thus ...
Mathematical modelling of collagen fibres rearrangement during the tendon healing process
(American Institute of Mathematical Sciences, 2021)
Tendon injuries present a clinical challenge to modern medicine as they heal slowly and rarely is there full restoration to healthy tendon structure and mechanical strength. Moreover, the process of healing is not fully ...
Biologically sound formal model of Hsp70 heat induction
(Elsevier, 2019)
A proper response to rapid environmental changes is essential for cell survival and requires efficient modifications in the pattern of gene expression. In this respect, a prominent example is Hsp70, a chaperone
protein ...
Bayesian inference of a non-local proliferation model
(Royal Society Publishing, 2021)
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 ...