opensesame11, (edited )

You could try connecting a current source to the source of the FET, connect the gate to a voltage reference, and connect the drain to a supply. Then the gate source voltage will be kept at threshold at all times and can be measured with a difference amplifier.

This could be done with a couple of op-amps provided they aren't adversely affected by the radiation.

Edit: Looks like blarbasaurus beat me to it.

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