Mathematical Challenges in Modeling Cancer Dynamics

This workshop aims to address the diverse mathematical challenges arising from mathematical modelling of cancer dynamics, from the analytical and numerical study of these models, to their application and validation with real data.

The particular issues we envision to be discussed include

  • the mathematical modelling of tumor dynamics, describing growth, invasion, metastasis and treatment efficacy;

  • the analysis of the qualitative properties and the asymptotic behavior of PDEs models including
    phenomena such as hard congestion, surface tension, and phenotypic heterogeneity;

  • the numerical challenges arising from the simulation of these models, which may have high computa-
    tional cost or require conservative schemes capable of accuratively capturing the singular properties of the
  • data integration with novel data assimilation techniques, image processing, statistical methods and artificial intelligence.
The workshop will take place at Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université, Paris.
 will last three days, commencing on Wednesday 11th October afternoon and closing on Friday 13th October before lunch.


Annabelle Ballesta (INSERM, Institut Curie, France)  -  Systems pharmacology to optimize cancer therapies

Laurence Calzone (Institut Curie, France)  -  Modelling the tumour microenvironment: a discrete approach

Pasquale Ciarletta (Politecnico di Milano, Italy)  -  Model and data fusion: physics-driven learning in cancer research

Charles Elbar
(Sorbonne Université, France)  -  Cahn-Hilliard system: From nonlocal to local

Sophie Hecht (CNRS, Sorbonne Université, France) - Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion.

Tommaso Lorenzi (Politecnico di Torino, Italy)  -  Partial integro-differential equation models for the spatial spread and evolutionary dynamics of heterogeneous cell populations

Virginie Montalibet (Université de Bordeaux, France)  -  Improving the clinical followup of meningiomas with mathematical modeling and AI

Alexandre Poulain(CNRS, Université de Lille, France)  -  Mathematical modelling of tumor growth using a compressible Navier-Stokes-Cahn-Hilliard model

Juan Jiménez Sánchez (MOLab, Universidad de Castilla-La Mancha, Spain)  -  A glimpse at evolvability: a theoretical analysis of its role in the adaptive dynamics of cell populations.

Markus Schmidtchen (Technical University Dresden, Germany)  -  A Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth Model

Erika Tsingos (Utrecht University, Netherlands) - Modelling cell-matrix mechanics with cellular Potts and molecular dynamics

Jieling Zhao (INRIA Paris-Saclay, France) - Towards a full digital liver twin of drug-induced damage, regeneration and disease progression



The registration for the conference is free of charge but mandatory. 



- Giorgia Ciavolella, Postdoctoral Researcher at INRIA, Université de Bordeaux, France;

- Noemi David, Postdoctoral Researcher at Université de Lyon 1, France;

- Emma Leschiera, Postdoctoral Researcher at INRIA, Université de Bordeaux, France;

- Chiara Villa, Postdoctoral Researcher at Sorbonne Université, Paris, France.


Workshop Poster



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