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