Three-dimensional Loxodromic Fractals as Morphological and Functional Models of Brains

Introduction: Three-dimensional neural nets may use fractal algorithms to determine the connections between the neural columns. Loxodromic functions, represented by certain spatial logarithmic spirals, well known in mathematics of spherical geometry, will create three-dimensional fractals with rich connectivity and remarkable biomorphism. In the biological model loxodromic spirals may result by growing of axons in fields of gradients of neural growth factors. We will get neural nets with topographic („somatotopic“) projections, connectivity of neurons at a very distance by few interneurons, which will enable the…