Bang Project Team: Research Topics

  • Cell division cycle modelling for healthy and cancer cells

      Age and cyclin-structured partial differential equation (PDE) models for proliferating and quiescent cell populations.

      See an overview in a presentation (pdf) by Jean Clairambault: Modelling circadian and pharmacological controls on the cell cycle and tumour growth.

      Members of the project-team involved: Jean Clairambault, Marie Doumic-Jauffret, Thomas Lepoutre, Benoît Perthame.

  • Aggregation-fragmentation models for prion and Alzheimer's diseases

      Theory and Observations of Polymerization processes in Prion and Alzheimer diseases.

      TOPPAZ is a 3-year (2009-2012) research project financed by an ANR grant (« programme blanc » 2009).
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  • Cell chemotaxis and cell aggregation

      Topics Covered:
      Models "J.D. Murray" for Chemotaxis (Simulations in liquid medium, Simulations in semi-solid medium-Pattern formation, 2 equations models- Simulations in semi-solid medium-3 equations models).
      Mimura Models for "Bacillus subtilis"(Numerical Simulations).
      Plapp-Perthame-Serror Models for "Bacillus subtilis"(Numerical Simulations).
      Cross-diffusion(Numerical Simulations).
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  • Molecular cancer pharmacotherapy and its optimisation

      Pharmacokinetic-pharmacodynamic models (PK-PD, systems of ordinary differential equations)with physiological basis of the action of anticancer drugs on their cell targets: as input, an instantaneous drug flow in the organism as output, a modification of the main physiological controls of the cell division cycle (p53, cyclins, CDKs), and its consequences on the proliferation of the involved cell populations (asymptotic behaviour: density of cells, Malthus exponent).

      Optimisation of the drug flow into the organism so as to maximise anti-tumour efficacy under the constraint of preserving healthy tissues.

      See an outview in a presentation (pdf) by Jean Clairambault : Modelling circadian and pharmacological controls on the cell cycle and tumour growth.

      Members of the project-team involved: Annabelle Ballesta, Jean Clairambault.

      Work led in collaboration with Francis Lévi's U 776 INSERM team Biological Rhythms and Cancers.

  • Individual-based models of tissue and tumour growth

      The research group Multicellular systems focuses on the understanding of tissue formation on different time and length scales.
      It pursues projects on the development of models to permit realistic simulations of multicellular organization processes, and on the analysis of data that occur during this processes.
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  • Free surface flows (Saint-Venant, Navier-Stokes)

      Our group is involved in research concerning the numerical simulation of free surface geophysical flows such as rivers, lakes, coastal areas. Many applications related to environmental problems are concerned(flooding, Dam breaks...) and different models are considered, such as: Saint-Venant Equations (Shallow Water), Pollutant Transport Equation and others.
      The aim is to obtain robust and efficient numerical tools based on theoretical results ensuring the accuracy and the preservation of physical properties of the flow (conservation, positivity of water depth, equilibrium states...).
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