A BGK model for small Prandtl number in the Navier-Stokes approximation

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A Hele–Shaw problem for tumor growth

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

A Mathematical Model of the Cell Cycle and Its Circadian Control

A Nonexpanding Transport Distance for Some Structured Equations

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A Singular Hamilton--Jacobi Equation Modeling the Tail Problem

A Structured Population Model of Cell Differentiation

A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells

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A coupled 3D-1D multiscale Keller–Segel model of chemotaxis and its application to cancer invasion

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A homogenization approach to flashing ratchets

A kinetic equation with kinetic entropy functions for scalar conservation laws

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A kinetic formulation of multidimensional scalar conservation laws and related equations

A model of calcium transport along the rat nephron

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A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation

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A multiple time renewal equation for neural assemblies with elapsed time model

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A simple derivation of BV bounds for inhomogeneous relaxation systems

Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation.

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Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis

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Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model

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Addendum to: ?Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws?

An age-and-cyclin-structured cell population model for healthy and tumoral tissues.

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An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations

An integro-differential equation model for alignment and orientational aggregation

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Analysis of a simplified model of the urine concentration mechanism

Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states

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Analytical examples of diffusive waves generated by a traveling wave

Applying ecological and evolutionary theory to cancer: a long and winding road ⬇️

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Asymmetric Potentials and Motor Effect: A Large Deviation Approach

Asymmetric potentials and motor effect: a homogenization approach

Asymptotic analysis of a selection model with space

Averages over spheres for kinetic transport equations; hyperbolic Sobolev spaces and Strichartz inequalities

Bernoulli Variational Problem and Beyond

Beyond blow-up in excitatory integrate and fire neuronal networks: Refractory period and spontaneous activity.

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Bounded speed of propagation for solutions to radiative transfer equations

Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation

Chapter 6 Kinetic formulations of parabolic and hyperbolic PDEs: From theory to numerics

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Circadian rhythm and tumour growth

Competition and boundary formation in heterogeneous media: Application to neuronal differentiation

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Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion

Composite waves for a cell population system modeling tumor growth and invasion

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Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit

Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model

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Conservative cross diffusions and pattern formation through relaxation

Corrigendum to “An integro-differential equation model for alignment and orientational aggregation” [J. Differential Equations 246 (4) (2009) 1387–1421]

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Data assimilation for hyperbolic conservation laws: A Luenberger observer approach based on a kinetic description

Derivation of a Hele–Shaw type system from a cell model with active motion

Derivation of hyperbolic models for chemosensitive movement

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Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway

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Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations

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Dirac concentrations in Lotka-Volterra parabolic PDEs

Dirac concentrations in a chemostat model of adaptive evolution

Direct competition results from strong competition for limited resource

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Directional persistence of chemotactic bacteria in a traveling concentration wave.

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Dissipative and Entropy Solutions to Non-Isotropic Degenerate Parabolic Balance Laws

Distributed synaptic weights in a LIF neural network and learning rules

Dynamics of a structured neuron population

Dynamics of time elapsed inhomogeneous neuron network model

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Energy Concentration and Sommerfeld Condition for Helmholtz Equation with Variable Index at Infinity

Energy and implicit discretization of the Fokker–Planck and Keller–Segel type equations

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Equilibrium schemes for scalar conservation laws with stiff sources

Evolution of species trait through resource competition

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Existence of solutions of the hyperbolic Keller-Segel model

Exponential Decay To Stable States In Phase Transitions Via A Double Log–Transformation

Exponential decay for the fragmentation or cell-division equation

Flux-limited equations arising in biology: comment on "Morphogenetic action through flux-limited spreading" by M. Verbeni et al.

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Fokker–Plank System for Movement of Micro-organism Population in Confined Environment

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Free boundary problems for tumor growth: A viscosity solutions approach

Front propagation for a jump process model arising in spacial ecology

General relative entropy inequality: an illustration on growth models

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

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Global Stability of Steady Solutions for a Model in Virus Dynamics

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Incompressible Limits of the Patlak-Keller-Segel Model and Its Stationary State

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Incompressible limit of a mechanical model of tumour growth with viscosity. ⬇️

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

Kinetic formulation of the isentropic gas dynamics andp-systems

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Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations

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Mathematical Analysis of a PDE System for Biological Network Formation

Mathematical description of bacterial traveling pulses

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Mathematical methods and modeling of biophysical phenomena

Mathematical methods and modelling of biophysical phenomena

Mathematical tools for kinetic equations

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Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors.

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

Multispecies cross-diffusions: From a nonlocal mean-field to a porous medium system without self-diffusion

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Non-existence of global solutions to Euler-Poisson equations for repulsive forces

Nonlinear Renewal Equations

Nonlinear stability of a Vlasov equation for magnetic plasmas

Notes on a PDE system for biological network formation

Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases

Numerical solution of an inverse problem in size-structured population dynamics

On a boundary layer problem for the nonlinear Boltzmann equation

On a voltage-conductance kinetic system for integrate & fire neural networks

On interfaces between cell populations with different mobilities

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Optimal critical mass in the two dimensional Keller–Segel model in

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Optimal regularizing effect for scalar conservation laws

Oscillatory regimes in a mosquito population model with larval feedback on egg hatching

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PDE Models for Chemotactic Movements: Parabolic, Hyperbolic and Kinetic

Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies

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Prion dynamics with size dependency-strain phenomena.

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Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system

Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience

Rare Mutations Limit of a Steady State Dispersal Evolution Model

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Regularity in kinetic formulations via averaging lemmas

Regularity of the moments of the solution of a Transport Equation

Relaxation and Self-Sustained Oscillations in the Time Elapsed Neuron Network Model

Relaxation of the Cahn–Hilliard equation with singular single-well potential and degenerate mobility

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Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians

Scaling limits for the Ruijgrok-Wu model of the Boltzmann equation

Selection–mutation dynamics with asymmetrical reproduction kernels

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Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes

Size distribution dependence of prion aggregates infectivity.

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Stability analysis of a simplified yet complete model for chronic myelogenous leukemia.

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Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller–Segel equation

Sur les solution à symétrie sphérique de l’equation d’Euler-Poisson pour l’evolution d’etoiles gazeuses

Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations.

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The Hele–Shaw Asymptotics for Mechanical Models of Tumor Growth

The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach

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The fractional diffusion limit of a kinetic model with biochemical pathway

The non-local Fisher–KPP equation: travelling waves and steady states

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Time fluctuations in a population model of adaptive dynamics

Total oscillation diminishing property for scalar conservation laws

Toward an integrated workforce planning framework using structured equations

Transversal instability for the thermodiffusive reaction-diffusion system

Traveling wave solution of the Hele–Shaw model of tumor growth with nutrient

Travelling plateaus for a hyperbolic Keller–Segel system with attraction and repulsion: existence and branching instabilities

Upwinding of the source term at interfaces for Euler equations with high friction

Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations