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Exploiting ecology in drug pulse sequences in favour of population reduction - Fig 2

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posted on 2017-09-28, 17:43 authored by Marianne Bauer, Isabella R. Graf, Vudtiwat Ngampruetikorn, Greg J. Stephens, Erwin Frey

Top: Inset: Schematic of the two-species model: wild-type w and resistant r grow logistically at rates λw or λr, decay at rate δ and switch between states at rates μw or μr, respectively. Main figure: Time-dependent antibiotic pulse shape with the three parameters τ, tr, and the skewness s as before. During tr the antibiotic concentration c(t) > MICr of the more resistant species ((high) environment), while during the entire treatment duration τ, c(t) > MICw ((low) and (high) environment). Initially, the system is in the stress-free environment (free). Bottom: Dynamical landscapes in population phase space corresponding to these three different environments in antibiotic concentration:(high) environment, with one attractive fixed point (red dot) at n = 0; (low) environment, with a saddle point at n = 0 and an attractive fixed point on the r axis; (free) environment: with unstable fixed point at n = 0 and stable fixed point close to the w axis, , which we use as the initial configuration.

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