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Compilation of coefficients that are common to the test simulations described in Secs. 3.2.1, 3.3 and 3.4.1.

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The universal biological parameters are defined as follows (i = 1, 2, 3): δi and di are the net death rates of stem cells and differentiated cells, respectively, the prefactors (basic rates of stem cell division) of the stem cell growth functions ζi(xs(t)) are labelled as αi, the symbol for the prefactors of the differentiated cell growth functions p(xd(t)) (corresponding to differentiation rate constants) is ai, and the rate constants for mutations of the primary resistant stem cell clone xs1(t) into the descendant stem cell lines xs2(t) and xs3(t) are identified by ν2 and ν3, respectively. The rate constants for activation of quiescent stem cells and for deactivation of cycling stem cells are denoted by νq1 and νc1, respectively. Only indirectly linked to biological properties are the universal technical parameters: the threshold for the differentiated cell growth function p(xd(t)) is denoted as θd, the thresholds for the stem cell growth functions ζi(xs(t)) are θsi and the coefficients that quantify the competition for a stem cell niche between clone j (j = 1, 2, 3) and other clones l are ωjl. Patient dependent parameters are also given: only one set each of initial populations xsk(0) and xdk(0) (k = 1, 2, 3) has been employed in all simulations.
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2017-07-05
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