CIMPA Research Summer School
on “PDE methods in Biology and Medicine"
La Habana, June 24th - July 5th, 2013

Poster of the
CIMPA Research Summer School
Local website

Abstract of the scientific content : (first attempt of schedule)
Mathematical modelling in biology and analysis of the resulting equations
are a main challanging scientific problem. This domain interests an increasing
mathematical community in the world as well as biologists, doctors, engineers
in environmental science for their possible applications. The various recent Partial
Differential Equation (PDE) methods and the last most significant progress in this domain
need to be exchanged and developed with Cuba and other countries of the Caribbean area.
The school aims at presenting some of the current approaches in PDE modelling
and mathematical analysis of biological and medical phenomena. It aims
at allowing the researchers and the students of Master’s degree level to acquire
a basic training in that field. This school will cover a wide class of equations
and applications including population dynamics, pattern formation, chemotaxis,
aggregation, biological waves and their implications in developmental biology,
epidemiology and neurosciences. The main tools considered are PDE’s, and other
related fields, as dynamical system and numerical methods.

Four mini-courses and one tutorial (content summarizes and some notes):

Vincent Calvez (Ecole Normale Supérieure de Lyon, France)
Kinetic equations for wave propagation in Biology ;
2. Jose Antonio Carrillo (Universitat Autònoma de Barcelona, Spain),
“PDE models in computational neuroscience” ;
3. Odo Diekmann (Utrecht University, Nederland)
“Delay Equations and Physiologically Structured Population Models” ;
4. Philip K. Maini (Oxford Mathematical Institute,
United Kingdom)
“Mathematical modelling in development and cancer”;
5. Stéphane Mischler
(Université Paris-Dauphine, France),
tutorial on “Mathematical basis for evolution PDEs”.

Twenty lectures  :
1. Bedreddine Ainseba (Université de Bordeaux, France)
Controllability in Biology and Medicine: Application to Population Dynamics and Electro Cardiology problems ;
2. Luis Bergues (Universidad de Santiago de Cuba, Cuba)
“Modified Gompertz equation for electrotherapy murine tumor growth kinetics : Predictions and new hypotheses
3. Emeric Bouin (Ecole Normale Supérieure de Lyon, France)
(tittle to be announced);
4. Lucilla Corrias (Université d’Evry, France)
"Blow-up dynamics induced by chemotaxis in an N particles system" ;
5. Luiz Alberto Diaz Rodrigues (Santa Maria, RS Brésil) 
Coupled Map Lattice Models in Population Dynamics;
6. Klemens Fellner (Universität Graz, Austria)
“Aggregation pattern in non-local evolution equations with repulsive-aggregating potentials

7. Andrés Fraguela Collar (Benemérita Universidad Autónoma de Puebla, Mexico)
“Métodos de solucion de problemas mal planteados” ;
8. Pierre Gabriel (Université de Versailles, France)
“Size-structured equations for protein aggregation” ;
9. Diego Alexander Garzón-Alvarado (Universidad Nacional de Colombia, Colombie)
Mecanobiología computacional: Un enfoque desde los sistemas de reacción difusión” ;
10. Pierre-Emmanuel Jabin (Université de Nice-Sophia Antipolis, France)
“Multiagents and many particles systems
11. Thomas Lepoutre (INRIA Rhône Alpes, Lyon, France)
Mathematical modelling of spontaneous cell polarization ;
12. Kalet Leon (Center of Molecular Immunology-CIM, La Habana, Cuba)
"In silico design of IL2 mutants for the therapy of cancer: A success experience of combining dry and wet biology";
13. Vuk Milisic (Université Paris 13, France)
"Some new results on a fully non-linear model for friction mediated by transient elastic linkages";
14. Carmen Molina-Paris (University of Leeds, United Kingdom)
"Mathematical Modelling of Immunological Problems at the Molecular, Cellular and Population Scales";
15. Abdennebi Omrane (University of Antilles-Guyane, France)
 "Optimal control for problems of incomplete data. Application to age-structured population dynamics problems"
Gael Raoul (CEFE Montpellier, France)
“Evolution problems in heterogeneous environments” ;
17. Mariano Rodriguez Ricard (Universidad de La Habana, Cuba)
“Prescence of oscillatory patterns in medicine and biology” ;
18. Christian Schmeiser (Universität Wien, Austria)
“Continuum vs. microscopic modelling of the cytoskeleton” ;
19.  Faustino Sánchez Garduño (Universidad Nacional Autónoma de México, México, D. F)
The Emergence of Patterns in Growing Domains by a Hopf-Turing Mechanism;
20. Pedro A. Valdés Hernández (Cuban Neuroscience Center-CNEURO,  La Habana, Cuba)
(tittle to be announced);

Accomodation :

All participants will be lodged in the hotel “El Vedado”
in front of the mathematics department of the Habana University.

Scientific committee:
- Lucilla Corrias (Laboratoire d’Analyse et Probabilité, Université d’Evry, France)
- Laurent Desvillettes (IUF & Centre de Mathématiques et Leurs Applications, Ecole Normale Supérieure de Cachan, France)
- Stéphane Mischler (IUF & Ceremade, Université Paris-Dauphine, France)
- Mariano Rodríguez Ricard (Departamento de Matemática, Universidad de La Habana, Cuba)

Local organizing committee in the University of Havana :
MSc. Valentina Badía Albanés
- Dra. Marta Lourdes Baguer Díaz-Romañach
- Dr. Aymeé Marrero Severo, ViceDean
- Dr. Luis Ramiro Piñeiro Díaz, Dean of the Faculty of Mathematics and Computer Science
- Mariano Rodríguez Ricard, Profesor Titular

Application procedure and Online registration
only for applicants not from Cuba
on the CIMPA website.
Beware that the deadline for registration on the CIMPA website is  April 1st, 2013

Applicants from Cuba must contact the local organizer :
Mariano Rodriguez Ricard (rricard at

Sponsored by
CIMPA,  Centre International de Mathématiques Pures et Appliquées
IMU,  International Mathematical Union

ICTP, International Centre for Theoretical Physics

ANR MADCOF, Projet Modélisation Aléatoire et Déterministe pour les modèles de COllision, coagulation et Fragmentation

GDR CNRS3471 MeTiCe,  Mathématiques appliquées aux Espèces, aux TIssus et aux CEllules

SMAI, Société de Mathématiques Appliquées
et Industrielles

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