On the derivation of angiogenesis tissue models: From the micro-scale to the macro-scale

ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES

(2013) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ON MODELS FOR VISCOELASTIC MATERIALS THAT ARE MECHANICALLY INCOMPRESSIBLE AND THERMALLY COMPRESSIBLE OR EXPANSIBLE AND THEIR OBERBECK–BOUSSINESQ TYPE APPROXIMATIONS

(2013) VÍT PRUŠA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic Systems for Chemotaxis

(2013) José A. Carrillo et al.   MULTISCALE MODELING & SIMULATION

Morphogenetic action through flux-limited spreading

(2013) M. Verbeni et al.   Physics of Life Reviews

FROM THE MODELING OF THE IMMUNE HALLMARKS OF CANCER TO A BLACK SWAN IN BIOLOGY

(2012) ABDELGHANI BELLOUQUID et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

QUALITATIVE PROPERTIES OF THE SOLUTIONS OF A NONLINEAR FLUX-LIMITED EQUATION ARISING IN THE TRANSPORT OF MORPHOGENS

(2011) JUAN CALVO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES

(2011) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Receptor cross-talk in angiogenesis: Mapping environmental cues to cell phenotype using a stochastic, Boolean signaling network model

(2010) Amy L. Bauer et al.   JOURNAL OF THEORETICAL BIOLOGY

MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS

(2010) NICOLA BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

(2010) N. BELLOMO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

From kinetic models of multicellular growing systems to macroscopic biological tissue models

(2010) A. Bellouquid et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Optimal Transport, Convection, Magnetic Relaxation and Generalized Boussinesq Equations

(2009) Yann Brenier   JOURNAL OF NONLINEAR SCIENCE

BOUNDEDNESS OF SOLUTIONS OF A HAPTOTAXIS MODEL

(2009) ANNA MARCINIAK-CZOCHRA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Existence of solutions of the hyperbolic Keller-Segel model

(2009) Benoît Perthame et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

A user’s guide to PDE models for chemotaxis

(2008) T. Hillen et al.   JOURNAL OF MATHEMATICAL BIOLOGY