Modeling spatial evolution of multi-drug resistance under drug environmental gradients
Fig 6
Validating selection predictions based on λ1 ranking among several competing mutants.
We illustrate a model simulation under the linear drug gradients in A, with 10 multi-drug resistant mutants varying in (αi, βi) traits (B), growing (gi(z) in C) and spreading over space with diffusion coefficient D = 0.01. The λ1 values (Eq 14) in D, match very well with the spatial selection dynamics observed numerically (E). Initial conditions (99% vs 1%: WT vs. equal division among all the mutants) were assumed equal for all strains, satisfying the boundary conditions ni(z, 0)∼sin(πz).