Image processing in the analysis of neuronal dentritic branching patterns: Does structure follow function across different species?

Structure and function are closely related in biology. This chapter describes the
analysis of alpha retinal ganglion cells that are seen as preserving their function across species, to determine whether structure follows function, that is, whether similar structures can be observed. Two-dimensional images of the alpha retinal ganglion cells of three orders of mammals are investigated in order to determine the consistency of the dendritic branching pattern across eleven mammalian species. Using the linear twodimensional Sholl method, we present a athematical model, which includes the critical and maximal values of the number of intersections, and the abscissae of the inflection points of the branching points and terminal tips, with respect to the radius. Differences among these parameters for the eleven mammalian species were statistically significant.
We therefore propose a hypothesis that the morphology of the alpha retinal ganglion cells are not conserved in mammals, coming from different habitats and having a wide variety of behaviors, despite similar function.