Algèbre linéaire et analyse matricielle
début 18 septembre 2017

3BIM - INSA Lyon - Enseignement 2017-2018

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Algèbre linéaire et analyse matricielle

INSA 3BIM Enseignement 2017-2018

Exercices, codes, devoirs, corrigés...

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About me

Samuel Bernard

I am a research associate at CNRS and I am affiliated with the Institut Camille Jordan at Université Claude Bernard, in Lyon, France

I am a member of the Equipe Inria Team Dracula

I am interested in developing multiscale tools for cell population dynamics.

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Dynamique des populations I

Master Maths En Action Lyon 1 Enseignement 2016-2017

Exercices, codes, devoirs, corrigés...

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EDO pour les neurosciences

INSA 3BIM Enseignement 2016-2017

Exercices, codes, devoirs, corrigés...

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Multiscale modelling

research theme

Biological processes span several scales in space, from the single molecules to organisms and ecosystems. Multiscale modelling approaches in biology are useful to take into account the complex interactions between different organisation levels in those systems. We are interested in approaches based on master equations for stochastic processes, individual-based models, hybrid continuous-discrete models and structured PDE models.

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Chronotherapy of cancer

research theme

Chronotherapy of cancers aims at exploiting daily physiological rhythms to improve anti-cancer efficacy and tolerance to drugs by administering treatments at a specific time each day. Recent clinical trials have shown that chronotherapy can be beneficial in improving quality of life and median life span in patients, but that it can also have negative effects if the timing is wrong. A theoretical basis for the rational development of individualized therapy schedules is still lacking. We use a simple cell population model to study how biological rhythms and the cell cycle interact to modulate the response to cancer therapy. A better understanding of the dyamical feature of clock regulation is important for designing individualized chronotherapy treatments.

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Estimating cell turnover

research theme

Human tissues continually replace dying cells with newborn cells. However, the rate of renewal varies by orders of magnitudes between blood cells, which are renewed every day and neurons, for which renewal is non-existent or limited to specific regions of the brain. Between those extreme are many tissues that turn over on a time scale of years, although no direct measurements have been done. We have developed a mathematical method to estimate cell turnover in slowly renewing biological systems. Age distribution of DNA can be estimated from the integration of radiocarbon derived from nuclear bomb testing during 1955-1963. For slowly renewing tissues, this method provides a better estimate of the average age of the tissue than direct estimate from the bomb curve. Moreover, death, birth and turnover rates can be estimated.

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