Modelling a Bell-Shaped Growth Pattern

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In my experiments I observed something that grows, reaches a steady-state, and then destabilizes. If the length were to be plotted as a function of time, it would look similar to a Kuznetz/Gaussian curve, only that it may not be symmetric (ie. growth > decay, or vice versa). Would anyone be aware of a function that can model both the growth and decay of such a feature?