Neurogenesis as a Probability Amplitude Governed by Charges-Dependent Hamiltonian

Abstract

Inspired on the idea of Mathew P. A. Fisher about the possibility that quantum mechanics is playing some basic roles on the biochemical processes in the brain, this paper has opted by develop a theory based on the description of neurogenesis by using the formalism and concepts of quantum mechanics. To accomplish this, it is assumed that each one of the main steps towards to the formation of neuron is done in a probabilistic manner, so that the probability amplitude is calculated. Concretely, the main steps: proliferation, migration and differentiation are expressed in terms of amplitudes. Also, the evolution operator depends only on electrical interactions fom the fact of abundance of ions so that attractive or repulsion forces might be crucial to the completion of subprocesses previous to maturation of neuron. Based on the quantum mechanics probabilities simulations are presented and discussed.