Fig. 3From: Analysis of a mechanistic Markov model for gene duplicates evolving under subfunctionalizationCritical values \(\gamma _{\text {crit}}^{z}\) for various values of z. When \(u_{r}/u_{c} \leq \gamma _{\text {crit}}^{z}\) the change in concavity for the pseudogenization rate function will occur in positive time. Otherwise, the change occurs in negative t and the sigmoidal nature of the function will not be apparent when plotted for t>0Back to article page