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A New Modeling Approach to the Effect of Antimicrobial Agents on Heterogeneous Microbial Populations

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Abstract

We develop a mathematical framework to model the dynamics of the effect of antimicrobial agents on heterogeneous microbial populations of distributed antimicrobial resistance. Our framework uses the concept of cumulants of a distribution. Simplifications that result in easily usable approximation tools are presented. A case study on experimental data exemplifies shortcomings of standard methods and the usefulness of the proposed approach. Suggestions for future development are made.

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Correspondence to Michael Nikolaou.

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Nikolaou, M., Tam, V. A New Modeling Approach to the Effect of Antimicrobial Agents on Heterogeneous Microbial Populations. J. Math. Biol. 52, 154–182 (2006). https://doi.org/10.1007/s00285-005-0350-6

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  • DOI: https://doi.org/10.1007/s00285-005-0350-6

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