On the stability of stationary solutions in diffusion models of oncological processes

We prove a sufficient condition for the stability of a stationary solution to a system of nonlinear partial differential equations of the diffusion model describing the growth of malignant tumors. We also numerically simulate stable and unstable scenarios involving the interaction between tumor and...

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Veröffentlicht in:	European physical journal plus 2021-01, Vol.136 (1), p.131, Article 131
Hauptverfasser:	Debbouche, A., Polovinkina, M. V., Polovinkin, I. P., Valentim, C. A., David, S. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Apoptosis Applied and Technical Physics Atomic Boundary conditions Cancer Complex Systems Condensed Matter Physics Differential equations Equality Focus Point on Cancer & HIV/AIDS Dynamics: From Optimality to Modelling Growth models Immune system Mathematical and Computational Physics Molecular Nonlinear differential equations Oncology Optical and Plasma Physics Ordinary differential equations Partial differential equations Physics Physics and Astronomy Regular Article Stability Theoretical Tumors
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Beschreibung
Zusammenfassung:	We prove a sufficient condition for the stability of a stationary solution to a system of nonlinear partial differential equations of the diffusion model describing the growth of malignant tumors. We also numerically simulate stable and unstable scenarios involving the interaction between tumor and immune cells.
ISSN:	2190-5444 2190-5444
DOI:	10.1140/epjp/s13360-020-01070-8