Stochasticity sounds like there has been performed some theoretical modelling to infer this. But does it imply that there would be some tiny % of any ligand molecules - endogenous or exogenous - which would just by chance get "an empty run" and didn't bind to their receptors (though structurally they're fine ligands with high affinity) and would be removed via waste removal systems? Is there any experimental evidence for this, like some study using radiolabelled high affinity ligand molecules to see what % of them gets into "an empty run"?
The mean free path seems sort of sensible in the extracellular space, though it still seems that the variables affecting mean free path (large amounts of receptors and binding thingys, the very small spaces, and the temperature) may be not enough. But wouldn't mean free path be near zero inside cells, where every nanometer should be occupied by some other biochemical pathway/reaction or bioelectric activity?
>>Neither you nor I will see biology as a mature science.
I personally wouldn't care a lot about proving anything to anybody in some absolute sense, but first of all to prove instrumentally and make stuff work for myself at least. I think that any biology student with the descent understanding should have some mini lab for personalized medicine (as e.g. Sinclair mentioned that his recent research on using 6 chemical compounds for OSK epigenetic reprogramming (rather than bulky viral vectors) can be done by any biology student).