La Manno et al. used a linear model to relate abundance of pre-mRNA U(t) with abundance of mature mRNA S(t) (La Manno et al., Nature 2018). Given that the molecular regulatory mechanisms between pre-mRNA and mature mRNA are complicated, and in many molecular networks more commonly we observe non-linear (e.g. switch-like) responses, we proposed a nonlinear model of RNA velocity for the effects of pre-mRNA on the abundance of mature mRNA based on Michaelis–Menten kinetics.
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