It never occurred to me that the OP actually wanted to build his own computer to be used on dives. I'm definitely impressed if you have built a DIY dive computer, since now we're talking about miniaturized electronics, transducers, and non-trivial packaging for a hostile environment. I'm not sure I'd dive without a commercial backup PDC (or tables), but I'm still impressed.
We're largely in agreement on the other issues; there is no reason one can't reproduce the results of a model (or output of a PDC based on a given model) on a laptop or smartphone, given the equations, assumptions, and reasonable initial values. Then it largely becomes an exercise in programming. It won't yield anything more accurate or individualized than the underlying model, since the variability in each person's anatomy and physiology is a major factor limiting every model. Unless you have a way to monitor N2 loading in a person's body compartments in vivo, in real time. THAT would be the ultimate! Time for N2 sensing nano-bots and near field RF?
Just out of curiosity, are you doing this for fun, or to create a new commercial product (PDC or software package)?