5 papers
A Kuramoto phase model to explore the synchronisation of a network of circadian clocks
Franck Delaunay, Antoine Fortuné, Ines Krawczyk +3
We propose a model of the circadian clock in a population of cells based on a network of oscillators, derived from the Kuramoto model. The coupling between oscillators is described…
Asymptotic Analysis of a bi-monomeric nonlinear Becker-D{ö}ring system
Marie Doumic, Klemens Fellner, Mathieu Mezache +1
To provide a mechanistic explanation of sustained {then} damped oscillations observed in a depolymerisation experiment, a bi-monomeric variant of the seminal Becker-Döring system h…
A continuous approach of modeling tumorigenesis and axons regulation for the pancreatic cancer
Marie-Jose Chaaya, Sophie Chauvet, Florence Hubert +3
The pancreatic innervation undergoes dynamic remodeling during the development of pancreatic ductal adenocarcinoma (PDAC). Denervation experiments have shown that different types o…
Tumorigenesis and axons regulation for the pancreatic cancer: a mathematical approach
Sophie Chauvet, Florence Hubert, Fanny Mann +1
The nervous system is today recognized to play an important role in the development of cancer. Indeed, neurons extend long processes (axons) that grow and infiltrate tumors in orde…
Testing for high frequency features in a noisy signal
Mathieu Mezache, Marc Hoffmann, Human Rezaei +1
Given nonstationary data, one generally wants to extract the trend from the noise by smoothing or filtering. However, it is often important to delineate a third intermediate catego…