Investigation of self-organization processes in bacterial colonies described by the Chavi-Waddy-Kolokolnikov model equation
https://doi.org/10.26583/vestnik.2025.4.4
EDN: MJQWIL
Abstract
The generalized Chavi-Waddy-Kolokolnikov model used to describe the spatial and temporal dynamics of bacterial colonies is studied, taking into account possible “dispersion” – the mechanism responsible for migration and redistribution of the population in the environment. From a biological point of view, the model allows us to understand how bacterial cells, capable of collective movement, form ordered structures (e.g., clusters or waves) even in the presence of external disturbances. The main focus of the work is on the study of the dynamics of the bacterial colony system described by the generalized Chavi-Wadi-Kolokolnikov model. Thus, a numerical algorithm for mathematical modeling of these processes has been developed and its verification has been carried out on the basis of exact solutions of the model in the form of solitary waves. The influence of the problem parameters on the behavior of the bacterial colony system was investigated. In addition, the main attention in the work is paid to the study of bacterial self-organization processes, as well as to the classification of the dynamics of the system behavior for different values of the parameters of the problem under consideration.
Keywords
Modeling,
differential equations,
bacterial colonies,
chemotaxis,
phototaxis,
line method,
Runge-Kutta method,
numerical methods
Supporting agencies: This work was carried out within the framework of the Russian Science Foundation project No. 25-21-00417.
About the Authors
A. G. Golovkov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
P. N. Ryabov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
N. A. Kudryashov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
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Review
For citations:
Golovkov A.G., Ryabov P.N., Kudryashov N.A. Investigation of self-organization processes in bacterial colonies described by the Chavi-Waddy-Kolokolnikov model equation. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2025;14(4):318-331. (In Russ.) https://doi.org/10.26583/vestnik.2025.4.4. EDN: MJQWIL
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