There is a Big Science program to create a Virtual Cell with more than a thousand scientists contributing research information to create the interacting systems of molecules. It is an interesting exercise for systems biologists. My opinion is that it serves to highlight the boundaries of our ignorance. We cannot wave our hands and say 'approximately' when trying to write a computer program.

So this is still beyond our current capabilities.

Just my opinion,
mycrofth

one problem with modeling the cell ... i.e. the virtual
cell and the PDE approach, is that a very small number of
the parameters are known (rates of reactions and which
transcription factors regulate what, rmember there are many cells and 100k proteins/genes). So it is a bit to soon for this.
Many groups are aimed at measuring and learning these parameters,
as well as modeling lsubsets of the cell that we know enough about,
an effort largely known as systems-biology or functional genomics.