parametric formula for given curve

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I am just wondering, if such a curve can be described by one formula with some parameters?

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I would think it would contain the exp function. I think this is related to this. But can this be expressed as one formula? Thanks!

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Something like $y(t) = A(1-e^{-bt})[u(t-t_0)-u(t)]+A(1-e^{-bt_0})e^{-c(t-t_0)}u(t-t_0)$ where A, b and c are constants and $t_0$ is the time when the function starts to decrease. Here u(t) is the indicator function which is 1 when t>=0 and 0 for t<0.