Work

The Evolution Model of Cultured Bacteria with External Growth Inhibition: Computational Techniques and in silico Studies

Year: 2024

Type: conference-paper

Abstract: Microbiological systems have become relevant objects of interdisciplinary research in mathematical biology and bioinformatics and can be analyzed using in silico studies with the implementation of computational experiments. The design of mathematical models of bacterial biomass growth under external inhibition can help to predict states of the microbiological system, reduce antibiotic use, and avoid antimicrobial resistance. The paper is devoted to developing a mathematical model of nutrient-dependent dynamics of bacteria cultured in media, considering external surface growth inhibition. The mathematical problem statement includes governing equations to define spatial-temporal distributions of bacterial biomass concentration, nutrient concentration, and time-dependent dose of antibiotic concentration. We propose a joint numerical scheme based on finite difference methods and specialized program application implemented with Matlab. A series of computational experiments were performed to describe the distributions of the key chemical compounds characterizing bacterial surface growth exposed to antibiotics and predict antibiotic treatment strategies.

Source: EPiC series in computing

DOI: 10.29007/cqr5

Authors: Anna Maslovskaya, Ivan Shevkun, Christina Kuttler

Institutions: Kazan Federal University, Innopolis University, Amur State University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: bronze

Funders: Ministry of Science and Higher Education of the Russian Federation, Kazan Federal University

OpenAlex ID: W4405269558

FWCI: 3.907

Cites:

Cited by: 1

Related to: 10