3 papers
math.DG2025
Topological Data Analysis in Finsler Spaces
Rafael Cavalcanti, Nelson Leal, Danilo Barros de Souza +2
We introduce a new approach to Topological Data Analysis (TDA) based on Finsler metrics and we also generalize the classical concepts of Vietoris-Rips and Cech complexes within thi…
q-bio.NC2025
Depolarization block induction via slow NaV1.1 inactivation in Dravet syndrome
Louisiane Lemaire, Mathieu Desroches, Serafim Rodrigues +1
Dravet syndrome is a developmental and epileptic encephalopathy, characterized by the early onset of drug-resistant seizures and various comorbidities. Most cases of this severe an…
math.CO2025
Alternative set-theoretical algorithms for efficient computations of cliques in Vietoris-Rips complexes
Danillo Barros de Souza, Jonatas Teodomiro, Fernando A. N. Santos +2
Identifying cliques in dense networks remains a formidable challenge, even with significant advances in computational power and methodologies. To tackle this, numerous algorithms h…