Abstract:
“Quorum sensing” as a special kind of communication in bacterial populations can be analyzed by means of methods and techniques of mathematical modeling and computer simulation. In the present study, a modification of a deterministic mathematical model of bacterial quorum sensing is proposed, taking into account the law of multiphase population dynamics. The mathematical model is formalized by an initial-boundary value problem for a system of semilinear reaction-diffusion partial differential equations. The equations include generation terms in view of changes in the biomass density. The model describes space-time dynamics of concentrations of special substances (signaling agents and Lactonase enzymes) that characterize the quorum sensing in Gram-negative bacteria. The problem is solved by means of the finite element method using the COMSOL Multiphysics platform. Computational experiments are performed to estimate concentrations of key substances characterizing quorum sensing for Pseudomonas putida bacterial strains in an expanded range of population dynamics.
Key words:
bacterial communication, quorum sensing, reaction-diffusion model, bacterial dynamics, finite element modeling, simulation of chemical compounds distributions.
This study was supported by the Ministry of Science and Higher Education of the Russian Federation (project no. 122082400001-8).
Received 11.11.2022, 09.03.2023, Published 29.03.2023
Document Type:
Article
Language: English
Citation:
Y. Shuai, A. G. Maslovskaya, C. Kuttler, “Modeling of bacterial communication in the extended range of population dynamics”, Mat. Biolog. Bioinform., 18:1 (2023), 89–104
\Bibitem{ShuMasKut23}
\by Y.~Shuai, A.~G.~Maslovskaya, C.~Kuttler
\paper Modeling of bacterial communication in the extended range of population dynamics
\jour Mat. Biolog. Bioinform.
\yr 2023
\vol 18
\issue 1
\pages 89--104
\mathnet{http://mi.mathnet.ru/mbb510}
\crossref{https://doi.org/10.17537/2023.18.89}
Linking options:
https://www.mathnet.ru/eng/mbb510
https://www.mathnet.ru/eng/mbb/v18/i1/p89
This publication is cited in the following 7 articles:
y. Shuai, “System for modeling the spatial dynamics of the bacterial population under varying antimicrobial treatment regimes”, Modelling and Data Analysis, 15:1 (2025), 19
I. A. Shevkun, A. G. Maslovskaya, “Hybrid Approach to Modeling and Evaluating the Structural Features for Patterns of Cultured Bacteria”, Math Models Comput Simul, 17:2 (2025), 153
I. A. Shevkun, A. G. Maslovskaya, “Hybrid approach to modeling and evaluation of the structural features for patterns of cultured bacteria”, Matem. Mod., 36:6 (2024), 59–73
Anna Maslovskaya, Christina Kuttler, Ivan Shevkun, Alexander Chebotarev, Andrey Kovtanyuk, “Quorum sensing model for nutrient-dependent evolution of cultured bacteria: theoretical framework and in silico study”, Nonlinear Dyn, 2024
Samvel Sarukhanian, Anna Maslovskaya, Christina Kuttler, “Three-Dimensional Cellular Automaton for Modeling of Self-Similar Evolution in Biofilm-Forming Bacterial Populations”, Mathematics, 11:15 (2023), 3346
J. O. Takhirov, B. B. Anvarjonov, “Global Existence of Classical Solutions to an Aggregation Model with Logistic Source”, Lobachevskii J Math, 44:12 (2023), 5460
Shuai Yixuan, Anna Maslovskaya, 2023 Applied Mathematics, Computational Science and Mechanics: Current Problems (AMCSM), 2023, 1
Citation in format AMSBIB
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