The table below lists experimentally determined diffusion coefficients in water at $25C$ for a series of

proteins with varying molecular weight.

a$.$ From the data above, use an appropriate power law to develop a correlation between protein size

and the diffusion coefficient.

b$.$ Vascular endothelial growth factor $(VEG{F}_{165})$ is a potent stimulant of

neovascularization$/$angiogenesis and has attracted significant interest for therapeutic purposes.

Estimate the diffusion coefficient of $VEG{F}_{165}$ in water at $25C.$ The molecular weight of

VEGF $165$ is $38\mathrm{.}2kD.$