[paulfharrison]

As others have said in various ways, start by fitting a survival model using glmnet.

That said, here are some folks trying to use SDEs to model cells, they even have a "dW" on their logo. This is a long way from predicting age of death, but it might eventually give insights into the exact mechanism. Also I think they're starting with bacteria and yeast, so mice might be a way off.

https://macsys.org/