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Biological fluid dynamics studies fluid flows generated by and acting on organisms, biological cells, tissues and biological transport networks. Examples include blood flow through microcirculation, cytoplasmic streaming within a biological cell, flagellum propulsion and bioconvection in swimming suspensions.

The Reynolds number $\mathrm{Re}=\rho UL/\mu$ compares inertia with viscous forces, using density $\rho$, dynamic viscosity $\mu$, speed $U$ and length $L$. A microscopic swimmer can operate in Stokes flow, where viscous forces dominate and motion responds to the instantaneous force balance. Larger swimming animals can instead transfer appreciable momentum to the surrounding fluid, as modeled by Lighthill elongated-body theory. ^[ref]

Transport introduces another comparison: the Péclet number $\mathrm{Pe}=UL/D$ measures advection against diffusion with diffusion coefficient $D$. Thus the same flow can move slowly enough to have negligible inertia, yet carry a slowly diffusing substance effectively. Choosing the appropriate dimensionless quantities connects biological scale to the governing mechanical and transport models.

B. R. Duling investigated the microcirculation, including how blood components occupy the internal space of capillaries. A 1996 study with H. Vink compared anatomical capillary dimensions with the domains available to flowing blood cells and macromolecules.^[ref]

The comparison addressed the endothelial glycocalyx, a surface layer at the blood-facing side of the endothelium. A space bounded by the vessel wall need not be equally accessible to every circulating component. Fluorescence microscopy and observations of moving blood cells provided different views of that same microvascular space.^[ref]

For a geometric example, an accessible circular radius of $4$ units inside an anatomical radius of $5$ units gives an accessible area fraction $4^2/5^2=0.64$. The numbers are illustrative, not experimental measurements. They show why a modest difference in apparent width can matter when estimating available space.