Moran process version of the tug-of-war model: Behavior revealed by mathematical analysis and simulation studies

Comparison of Tug-of-War Models Assuming Moran versus Branching Process Population Dynamics

“…Moran model B, patterned after the model introduced in [2], behaves in a more complex manner than Moran model A or binomial BP. The drift and selection component increases expected fitness, which cannot be predicted by the mutation balance only, although it increases with the drivers prevailing ( sp > dq ).…”

“…As noted by [2], the equilibrium condition for no change of the expected fitness change resulting from a mutation, has the form for both models. As a result, we obtain the expected fitness unchanged by a mutation event if ps = (1 − p ) d , increasing if ps > (1 − p ) d and decreasing if ps < (1 − p ) d .…”

“…As noted by [2], the equilibrium condition for no change of the expected fitness change resulting from a mutation, has the form…”

“…As a result, trends in trajectories of Model A are expected to depend only on the balance of drivers and passengers. The trends in Model B are more complex, as explained in [2]. The drift and selection pattern in Model B biases it towards increasing fitness.…”

“…In other papers [19, 20], a Moran model was used for the population process, which provides a strict bound on the number of proliferating cells (see relevant discussion in [19]). Another assumption of [23] was that driver mutations become instantly fixed in the population, which may be acceptable under very strong selection (for mathematical details, see Bobrowski et al [2]), but in general it is not satisfied.…”