Using a suitably modified variant of the circuit, trigger pulses could be generated, in which case you could set flip-flops to record when a pulse is waiting (and optionally, count how many events have occurred, if not necessarily the values of any but the last of those events). This could be connected directly to an asynchronous or triggerable type ADC, or interfaced to an MCU.
The trick is detecting when the input exceeds the peak, or when current flows into the holding capacitor, or something like that. Sometimes, it's nice to build the op-amp as discretes, just so you can tap off a convenient signal like this -- but tacking this on shouldn't be too much difficulty in this case.
Tim