Modeling of human reaction selection following the arrival of an event in the brain
This work proposes a mathematical model about how a reaction is created in the human brain in responseto a particular incoming Information/Event using quantum mechanics and more precisely path integrals theory.The set of action potentials created in a particular neuron N2 is a result of temporal and spatial summationof the signals coming from different neighboring neurons Nx with different dendrite-paths. Each dendritepathof N2 is assumed to be determined by its respective synapse with its neurotransmitters and therefore tohave its particular action S due to its respective neurotransmitters types (excitatory or inhibitory) and etc. Anexternal incoming signal information being initially modulated by recepetor neurons (in eyes, ears...) travelsthrough the neighboring neurons that are linked to the excited receptor neurons. A potential reaction responsesare subsequently created thanks to a final deformed signal in the motor neurons by all the correlated neuralpaths. The total deformation at each neuron is created by different incoming dendrite-paths and their structures(inhibitory or excitatory neurotransmitters and their type), and of course the existence or not of the signal andits frequency coming from each path. Using path Integrals theory, we compute the probability of existence ofthe signal-Information or the potential reaction to the incoming information at each neuron. In this paper wecompute how much the signal-Information has been distorted between two neighboring linked neural pointsincluding if it arrives or not to the neigboring neurons. We propose an Information entropy similar to Shannonone and we demonstrate that this entropy is equivalent to timespace curvature in the Brain.