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Modeling spatial evolution of multi-drug resistance under drug environmental gradients

Model translation to environmental contexts beyond antibiotics.

A. Two arbitrary spatially-varying stressors (1 and 2). B. The growth landscape G(x, y) of the reference (WT) strain as a function of stressor concentrations forms the basis for building later the growth landscapes of different mutants. C. The primary dose-responses of stressor- to- growth phenotypic effect can be used to obtain (αi, βi) traits in the sub-populations of interest. D. These coefficients are then used to rescale G accordingly to obtain growth rates gi(z) for all variants under various stressor concentrations. With these ingredients, the model can be applied to other ecological contexts.

doi: https://doi.org/10.1371/journal.pcbi.1012098.g010