Differential Elimination and Biological Modelling

Differential Elimination and Biological Modelling
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差异消除和生物建模

DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
François Boulier
François Boulier
中科院分区：
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文献类型：
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作者：
François Boulier

文献摘要

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本文介绍了应用计算机代数方法，微分消除，应用数学问题主要是借用生物学。这两个考虑的应用程序有关的参数估计和模型降阶问题。在这两种情况下，微分消去法都可以被看作是数值处理的准备。结合应用，介绍了差分消去算法的两种实现：差分算法包和BLAD库。
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.