Mathieu Desroches

The paper uses Forman-Ricci curvature to analyze residue interaction networks in HSV-1 gB-Aβ complexes, revealing geometric changes not captured by conventional methods.

The paper introduces an astro-neural-field model to study cortical spreading depolarization, showing improved fit to experimental data and new insights into its mechanisms.

The paper analyzes bursting patterns in Lateral Habenula neurons using experimental data and a computational model, identifying distinct dynamic states and their implications for mood regulation.

This study investigates the role of GABAergic neurons in cortical spreading depolarization (CSD) propagation using experiments and a novel neural field model, finding that reduced GABAergic synaptic transmission enhances CSD propagation.

The paper introduces an extended Adaptive Exponential integrate-and-fire model to simulate ionic regulation impairment and demonstrates its ability to generate normal and epileptic neural network activity.

This paper introduces a topological fingerprint using Local Euler Curvature to identify secondary protein structures, achieving accurate classification through unsupervised clustering and supervised learning.

This paper develops a multivariate signal processing pipeline to build high-order brain networks from fMRI data and identifies high-order hubs associated with distinct brain systems.

The paper applies topological data analysis to spiking patterns in macaque visual cortex, revealing a low-dimensional geometric structure similar to Euclidean or hyperbolic spaces.

This paper analyzes a mathematical model of bipolar disorder to show that mixed affective states can be explained by mixed mode oscillations due to a folded-node singularity.

The paper investigates the molecular interaction between HSV-1 glycoprotein B and Amyloid-β peptides using FRET to explore their role in virus neutralization.

This paper develops a mean-field model of neuronal populations incorporating ion-exchange mechanisms to simulate brain activity and validate its effects through in vitro experiments.

This study identifies a neocortex-specific mechanism of cortical spreading depression (CSD) initiated by hyperactivity of GABAergic neurons and NaV1.1 channel gain-of-function, linking it to Familial Hemiplegic Migraine type-3.