Differential Elimination and Biological Modelling

Abstract : This paper describes applications of a computer algebra method, differential elimination, to applied mathematics problems mostly borrowed from biology. The two considered applications are related to the parameters estimation and the model reduction problems. In both cases, differential elimination can be viewed as a preparation to numerical treatments. Together with the applications, the paper introduces two implementations of the differential elimination algorithms: the diffalg package and the BLAD libraries.
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Conference papers
Markus Rosenkranz and Dongming Wang. Workshop D2.2 of the Special Semester on Gröbner Bases and Related Methods, May 2006, Hagenberg, Austria. de Gruyter, 2, pp.111-139, 2007, Radon Series Comp. Appl. Math


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François Boulier. Differential Elimination and Biological Modelling. Markus Rosenkranz and Dongming Wang. Workshop D2.2 of the Special Semester on Gröbner Bases and Related Methods, May 2006, Hagenberg, Austria. de Gruyter, 2, pp.111-139, 2007, Radon Series Comp. Appl. Math. <hal-00139364>

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