Section: Application Domains

Cancer modeling

  • specific models : investigation of particular cancers : gliomas (brain tumors), meningioma, colorectal cancers lung and liver metastasis, breast cancer. This is one part of the PhD works of P. Berment, J. Jouganous, G. Lefebvre and post-doc of J. Joie.

  • modelling of electrochemotherapy : see ARC C3MB (http://www.math.u-bordeaux1.fr/ArcC3MB/ )

  • parameter estimations with the help of low order models : see the PhD of J. Jouganous.

  • patient-specific simulations

  • optimal shape design : the goal is to recover the vascularization of a model tumor from the knowledge of its shape evolution.

  • Theoretical biology of the metastatic process: dynamics of a population of tumors in mutual interactions, dormancy, pre-metastatic and metastatic niche, quantification of metastatic potential and differential effects of anti-angiogenic therapies on primary tumor and metastases.

  • Mathematical models for preclinical cancer research: description and prediction of tumor growth and metastatic development.