The role of time delays in a mathematical model describing the dynamics of TGF-β in epithelial–mesenchymal transition (EMT) and mesenchymal–epithelial transition (MET) in cancer cells is investigated and the influence of the delay representation on the model dynamics is further investigated numerically.
Comparing EMT dynamics in lung cancer cells under normal growth conditions and in the presence of TGF-β, a known EMT inducer, finds that untreated cells undergo density-independent EMT, and discusses how the minimal quantitative framework may provide insights into the structure of the Waddington landscape associated wi...
Domenico Caudo, Federica Mulè, Giovanna Peruzzi et al.· Journal of Physics, Conferen...· 0 citations
The main focus of the presentation will be the impact of time delays on the stability and dynamics of stationary solutions and the possibility of periodic solutions and the role of delay-induced oscillations in biological models.
Mathematical modeling provides a rigorous formal framework for describing the biological processes involved in
the onset and progression of lung cancer. Systems of differential equations-exceptionally powerful analytical
tools-enable the quantitative description of tumor growth, the interactions between tumor cells and...
Dragos Rotaritei, Ilea Mihail-ovidiu· World Wide Journal of Multid...· 0 citations
Investigations focused on how malignant tumors appear and grow in the body are complicated due to multi-level regulation, which makes direct experimental in vivo studies rather difficult. A mathematical model presented in this study describes dynamics of changes in the quantity of abnormal cells taking angiogenesis pro...
P. V. Trusov, N. V. Zaitseva, V. Chigvintsev· Математическая биология и би...· 0 citations
In this work, a hierarchy of six mathematical models of a mechanistic type, previously focused on the description of aseptic inflammation in a surgical skin wound, is used for the first time to describe events in the core of ischemic injury in myocardial infarction. Computational experiments have shown that all simplif...
O. Voropaeva· Математическая биология и би...· 0 citations
Fractional differential equations are increasingly used to represent temporal memory in tumour–immune and pharmacokinetic models, but changing the derivative order without a consistent time scale can make comparisons difficult to interpret. We study a dimensionless, commensurate Caputo system for tumour, immune, normal...
