I think the expansion and contraction model, as you've described it, would probably also result in my death. The being that includes the computer and myself would be a new being, of which I am now a component. When the meaty component dies, this is my death, even though there is now a being who perceives itself to be a continuation of me. This being is, in many ways, a continuation of me, just not in the way that I care about most.

I'm not completely sure of this, of course, but anywhere I'm not sure whether I'll die or not I prefer to lean heavily towards not dying.