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Modeling Biosensors Utilizing Microbial Cells

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Mathematical Modeling of Biosensors

Part of the book series: Springer Series on Chemical Sensors and Biosensors ((SSSENSORS,volume 9))

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Abstract

This chapter deals with the field of biosensors in which the biological component consists of microbial cells. Whole-cell biosensors provide an opportunity to elicit functional information for different applications including drug discovery, cell biology, toxicology and ecology. Metabolite and biochemical oxygen demand (BOD) biosensors as special cases of biosensors based on microorganisms are mathematically considered at steady state and transient conditions. This chapter also considers the bacterial self-organization in the fluid cultures of luminous E. coli in a small rounded container as detected by bioluminescence imaging. Assuming that the luminescence in experiments is proportional to the cell density, the three-dimensional pattern formation in a bacterial colony is modeled by the nonlinear reaction–diffusion-chemotaxis equations in which the reaction term for the cells is a logistic (autocatalytic) growth function. The numerical simulation showed that the developed model captures fairly well the sophisticated patterns observed in the experiments. Since the simulation based on three-dimensional model is very time-consuming, the reducing spatial dimensionality for simulating one and two-dimensional spatiotemporal patterns is investigated. The patterns simulated by the models of different dimensionality are compared with each other and with the experimental patterns

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Authors and Affiliations

  1. Faculty of Mathematics & Informatics, Institute of Computer Science, Vilnius University, Vilnius, Lithuania

    Romas Baronas & Feliksas Ivanauskas

  2. Life Sciences Center, Vilnius University, Vilnius, Lithuania

    Juozas Kulys

Authors
  1. Romas Baronas
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  2. Feliksas Ivanauskas
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  3. Juozas Kulys
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Baronas, R., Ivanauskas, F., Kulys, J. (2021). Modeling Biosensors Utilizing Microbial Cells. In: Mathematical Modeling of Biosensors. Springer Series on Chemical Sensors and Biosensors, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-65505-1_12

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