ON THE IMPLICATIONS OF THE BIOLOGICAL SYSTEMS FRACTAL MORPHO-FUNCTIONAL STRUCTURE

Considering that the biological systems structural units dynamics are achieved on fractal curves, in the scale relativity hydrodynamic variant (with constant arbitrary fractal dimension), fractal logical elements (fractal bit, fractal cellular neural network etc.) are defined. Assuming that the external scalar potential is proportional with the fractal states density, the one-dimensional solution with finite fractal "energy" is obtained in the form of a fractal kink, whose "topology" implies, through its induced topological charge, the fractal bit. By mapping the one-dimensional solution with infinite fractal "energy", the fractal cellular neural network is obtained. In a particular case, for motions on Peano curves at Compton scale, the quantum logical elements are obtained once more. Some implications on the fractal morpho-functional structure of the lung, using this model, are shown.