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Why we should use topological data analysis in ageing: Towards defining the “topological shape of ageing”
(2020-10-27)
Living systems are subject to the arrow of time; from birth, they undergo complex transformations (self-organization) in a constant battle for survival, but inevitably ageing and disease trap them to death. Can ageing be ...
Computing Higher Leray–Serre Spectral Sequences of Towers of Fibrations
(2020-10-27)
The higher Leray–Serre spectral sequence associated with a tower of fibrations represents a generalization of the classical Leray–Serre spectral sequence of a fibration. In this work, we present algorithms to compute higher ...
Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model
(2020-09-07)
Specific kinds of physical and biological systems exhibit complex Mixed-Mode Oscillations mediated by folded-singularity canards in the context of slow-fast models. The present manuscript revisits these systems, specifically ...
Neuron-glial Interactions
(2020-06-07)
Although lagging behind classical computational neuroscience, theoretical and computational approaches are beginning to emerge to characterize different aspects of neuron-glial interactions. This chapter aims to provide ...
Targeting Infectious Agents as a Therapeutic Strategy in Alzheimer’s Disease
(2020-05-26)
Alzheimer’s disease (AD) is the most prevalent dementia in the world. Its cause(s) are presently largely unknown. The most common explanation for AD, now, is the amyloid cascade hypothesis, which states that the cause of ...
Grigorchuk-Gupta-Sidki groups as a source for Beauvile surfaces
(2020-04-14)
If $G$ is a Grigorchuk-Gupta-Sidki group defined over a $p$-adic tree, where p is an odd prime, we study the existence of Beauville surfaces associated to the quotients of $G$ by its level stabilizers $st_G(n)$. We prove ...
A theoretical approach for the electrochemical characterization of ciliary epithelium
(2020-01-23)
The ciliary epithelium (CE) is the primary site of aqueous humor (AH) production, which
results from the combined action of ultrafiltration and ionic secretion. Modulation of ionic secretion
is a fundamental target for ...