Abstract
Neuronal death (apoptosis) and neurogenesis in mammal adult brains indicate that neuronal turnover could be considered as a special form of neuroplasticity mostly related to memory, cognition and neurodegenerative disorders. In this work we define an algebraic theory of apoptotic and neurogenic transformations of DRASiW-like systems, and, within the proposed formalism, we discover and discuss neuroplasticity properties of DRASiW. Therefore, the main contribution of this work is theoretical with the aim of characterizing DRASiW apoptotic and neurogenic transformations by envisioning their potentialities, rather than to propose a new neural model for future biological simulations.
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