**D.L.
Stein: Research on Biophysics **

for Non-Physicists

(Continued)
So there are actually* two* random processes occurring
at the same time: diffusion of the oxygen molecule (i.e., a random walk,
where in the simplest realization each step is in a random direction,
uncorrelated with the previous step); and random fluctuations of the
larger host molecule itself. This is a very interesting and not so easy
problem!

This is one example of many similar problems, ranging from the behavior
of ion channel proteins to ionic conduction in polymeric electrolytes.
Understanding of the mathematical problem inspired by the biological
problem can lead to diverse applications, in both biological and non-biological
contexts.

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