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The conservation of the average number of cells Nk in each compartment k, reflected in the values of ε and ηk used, allow us to use a Moran birth-death process to study cell dynamics in downstream compartments.
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The conservation of the average number of cells Nk in each compartment k, reflected in the values of ε and ηk used, allow us to use a Moran birth-death process to study cell dynamics in downstream compartments.
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If the mutated cells proliferate faster, the ratio Tj+ / Tj- is not affected. Thus, the probabilities of fixation do not change, only the time scale. On average, faster cell proliferation will lead to a faster differentiation (and extinction) of the mutant cells in the compartment in which the mutants arise.
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If the mutated cells proliferate faster, the ratio Tj+ / Tj- is not affected. Thus, the probabilities of fixation do not change, only the time scale. On average, faster cell proliferation will lead to a faster differentiation (and extinction) of the mutant cells in the compartment in which the mutants arise.
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