Fractal Match

Organisms are fractal assemblies but only over a limited range of scales. In the simplest picture, we might imagine any animal to be a solid body of cells adjoining a liquid phase across a common fractal border. Animals with closed circulations especially exhibit fractal patterns of their tissues and vessels.

Fractal structures intricately intertwine stationary catalytic or cellular surfaces against a moving liquid and can maximize the area of contact. This arrangement maximizes apposed surface and facilitates optimum exchange across the barrier and turnover. This general almost fractal pattern occurs at many scales and sizes. Intricate interlacing of a stationary catalytic system, the cells, with a pumped liquid phase, the blood or hemolymph, minimizes distances and resistances to transport down to even sub-cellular scales. Such fractal anatomy of interfaces optimizes turnover through all levels of organization.

Using a similar concept we may model both closed and open circulations together. After we have discussed open circulations, we shall compare transfer along this type of border with transfer through a percolation system. We may already apply concepts of percolation to the gel states of polymers on the cellular or molecular scale (Ref: Fractal Gels).

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