Quantifying Geobacter sulfurreducens growth: A mathematical model based on acetate concentration as an oxidizing substrate.
Math Biosci Eng
; 21(5): 5972-5995, 2024 May 17.
Article
em En
| MEDLINE
| ID: mdl-38872566
ABSTRACT
We developed a mathematical model to simulate dynamics associated with the proliferation of Geobacter and ultimately optimize cellular operation by analyzing the interaction of its components. The model comprises two segments an initial part comprising a logistic form and a subsequent segment that incorporates acetate oxidation as a saturation term for the microbial nutrient medium. Given that four parameters can be obtained by minimizing the square root of the mean square error between experimental Geobacter growth and the mathematical model, the model underscores the importance of incorporating nonlinear terms. The determined parameter values closely align with experimental data, providing insights into the mechanisms that govern Geobacter proliferation. Furthermore, the model has been transformed into a scaleless equation with only two parameters to simplify the exploration of qualitative properties. This allowed us to conduct stability analysis of the fixed point and construct a co-dimension two bifurcation diagram.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Oxirredução
/
Simulação por Computador
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Geobacter
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Acetatos
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Modelos Biológicos
Idioma:
En
Revista:
Math Biosci Eng
Ano de publicação:
2024
Tipo de documento:
Article
País de afiliação:
México
País de publicação:
Estados Unidos