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List of works by Vincent Calvez

A Lyapunov function for a two-chemical species version of the chemotaxis model

A Predictive Model for Yeast Cell Polarization in Pheromone Gradients

scientific article

A kinetic eikonal equation

A mathematical model for mechanotransduction at the early steps of suture formation

scientific article (publication date: 22 May 2013)

A structural model of the VEGF signalling pathway: emergence of robustness and redundancy properties.

scientific article published in February 2013

A tumor growth inhibition model for low-grade glioma treated with chemotherapy or radiotherapy

scientific article published on 3 July 2012

Analysis of a Nonlocal Model for Spontaneous Cell Polarization

Blow-up dynamics of self-attracting diffusive particles driven by competing convexities

article

Blow-up, Concentration Phenomenon and Global Existence for the Keller–Segel Model in High Dimension

Cluster formation for multi-strain infections with cross-immunity.

scientific article published on 30 November 2004

Concentric demyelination by self-organization: a new hypothesis for Baló's sclerosis

scientific article (publication date: September 2007)

Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model

article

Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data

Directional persistence of chemotactic bacteria in a traveling concentration wave.

scientific article

Front acceleration by dynamic selection in Fisher population waves

scientific article published on October 10, 2012

Global Existence for a Kinetic Model of Chemotaxis via Dispersion and Strichartz Estimates

article

Global existence for the kinetic chemotaxis model without pointwise memory effects, and including internal variables

Hyperbolic traveling waves driven by growth

Invasion fronts with variable motility: Phenotype selection, spatial sorting and wave acceleration

Kinetic Models of Chemotaxis

Mathematical and numerical modeling of early atherosclerotic lesions

Mathematical description of bacterial traveling pulses

scientific article

Mathematical description of concentric demyelination in the human brain: Self-organization models, from Liesegang rings to chemotaxis

Modeling Edar expression reveals the hidden dynamics of tooth signaling center patterning

scientific article published on 07 February 2019

Modified Keller-Segel system and critical mass for the log interaction kernel

Numerical Simulation of the Dynamics of Molecular Markers Involved in Cell Polarization

Prion dynamics with size dependency-strain phenomena.

scientific article published in January 2010

Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities

Self-similarity in a general aggregation–fragmentation problem. Application to fitness analysis

Size distribution dependence of prion aggregates infectivity.

scientific article

The one-dimensional Keller–Segel model with fractional diffusion of cells

The origins of concentric demyelination: self-organization in the human brain

scientific article

The parabolic-parabolic Keller-Segel model in R2

article

Volume effects in the Keller–Segel model: energy estimates preventing blow-up

article