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

By Marianne Bauer (4476367), Isabella R. Graf (4476364), Vudtiwat Ngampruetikorn (4476370), Greg J. Stephens (44424) and Erwin Frey (470535)

Abstract

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

Topics: Pharmacology, Biotechnology, Evolutionary Biology, Ecology, Cancer, Infectious Diseases, Environmental Sciences not elsewhere classified, Biological Sciences not elsewhere classified, high-stress regime, population dynamics model, Different treatment regimes, population size, drug pulse sequences
Year: 2017
DOI identifier: 10.1371/journal.pcbi.1005747.g002
OAI identifier: oai:figshare.com:article/5451184
Provided by: FigShare
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