This article is motivated by a formulation of biotic self-organization in Friston, where the
emergence of “life” in coupled material entities (eg, macromolecules) was predicated on …

Abstract The Prefrontal Cortex (PFC) is one of the principal brain regions studied in
consciousness. Previous investigations suggest that the PFC is an important neural hub in …

In this study, we analyse the notion of “differential heterogenesis” proposed by Deleuze and
Guattari on a morphogenetic perspective. We propose a mathematical framework to …

We reproduce suprathreshold perception phenomena, specifically visual illusions, by Wilson–
Cowan (WC)-type models of neuronal dynamics. Our findings show that the ability to …

Tree-like structures, such as retinal images, are widely studied in computer-aided diagnosis
systems for largescale screening programs. Despite several segmentation and tracking …

This book describes about unlike usual differential dynamics common in mathematical
physics, heterogenesis is based on the assemblage of differential constraints that are …

Retinal images provide early signs of diabetic retinopathy, glaucoma, and hypertension.
These signs can be investigated based on microaneurysms or smaller vessels. The …

In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area
of the primary motor cortex (M1). We will mathematically express as a fiber bundle the …

In this paper we present a new model for the generation of orientation preference maps in
the primary visual cortex (V1), considering both orientation and scale features. First we …

We propose an efficient approach for the grouping of local orientations (points on vessels)
via nilpotent approximations of sub-Riemannian distances in the 2D and 3D roto-translation …