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ALGEBRE LINEAIRE EXERCICES CORRIGS PDF

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We have developed a mathematical method to estimate cell turnover in slowly renewing biological systems. For slowly renewing tissues, this method provides a better estimate of the average age of the tissue than direct estimate from the bomb curve. Multiscale modelling approaches in biology are useful to take into account the complex interactions between different organisation levels in those systems.

A better understanding of the dyamical feature of clock regulation is important for designing individualized chronotherapy treatments. Biological processes span several scales in space, from the single molecules to organisms and ecosystems.

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Raphaèle Herbin’s homepage

We are interested in approaches based on master equations for stochastic processes, individual-based models, hybrid continuous-discrete models and structured PDE models. Estimating cell turnover research theme Human tissues continually replace dying cells with newborn cells.

We use a simple cell population model to study how biological rhythms and the lienaire cycle interact to modulate the response to cancer therapy. Moreover, death, birth and turnover rates can be estimated. Age distribution of DNA can be estimated from the integration of radiocarbon derived from qlgebre bomb testing during 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.

Multiscale modelling research theme Biological processes span several scales in space, from the single molecules to organisms and ecosystems. Between those extreme are many tissues that turn over on a time scale coreigs years, although no direct measurements have been done.

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Human tissues continually replace dying cells with newborn cells. 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. 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.

Chronotherapy of cancers aims at exploiting daily physiological rhythms to improve anti-cancer efficacy and tolerance to exercives by administering treatments at a specific time each day.

A theoretical basis for the rational development of individualized therapy schedules is still lacking.