Conditions Regulating Tumor Cell Behaviour in Biological Systems with Memory of States

Ładowanie...
Miniatura

Data

2021

Tytuł czasopisma

ISSN czasopisma

Tytuł tomu

Wydawca

Wydawnictwo Politechniki Łódzkiej
Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.
Lodz University of Technology Press
Lodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.

Abstrakt

For biological systems with memory of states there were found conditions which regulate tumor cell behaviour. These conditions depend on parameters of the multi-parametric space. Based on the Masing–Bouc-Wen’s framework, the state memory in the biological system was simulated by means of supplemental state variables (internal variables). The additional state variables were introduced into the generalized non-linear multi-scale diffusion cancer invasion model and the chaotic cancer attractors were found. To quantify chaotic cancer attractors, the technique based on the wandering trajectories analysis was applied.

Opis

Słowa kluczowe

biological system with memory of states, tumor growth, carcinogenesis, chaotic attractors, response delay, system biologiczny z pamięcią stanów, wzrost guza, karcynogeneza, atraktory chaotyczne, opóźnienie odpowiedzi

Cytowanie

Dzyubak L., Dzyubak O., Awrejcewicz J., Conditions Regulating Tumor Cell Behaviour in Biological Systems with Memory of States. W: DSTA-2021 Conference Books – Abstracts (16th International Conference : Dynamical Systems Theory and Applications DSTA 2021 ABSTRACTS), Awrejcewicz J. (red.), Kaźmierczak M. (red.), Olejnik P. (red.), Mrozowski J. (red.), Wydawnictwo Politechniki Łódzkiej ; Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki, Łódź 2021, s. 457-458, ISBN 978-83-66741-20-1.