International audienceThis 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
The major purpose of this paper is to show the application of first order ordinary differential equa...
This book developed from classes in mathematical biology taught by the authors over several years at...
We were interested in the change of the qualitative behaviour of a parameterized system of non-linea...
International audienceThis paper describes applications of a computer algebra method, differential e...
Extended abstract of an invited talk at Differential Algebra and related Computer Algebra (Catania, ...
Differential algebra is an algebraic theory for studying systems of polynomial ordinary differential...
International audienceDifferential algebra is an algebraic theory for differential equations (ordina...
tutorial talk for AB 2008.International audienceAmong all the modeling approaches dedicated to cellu...
We develop new upper bounds for several effective differential elimination techniques for systems of...
The 1)rimary focus of this work is the design and implementation of efficient differential eliminati...
We present a first version of a software dedicated to an application of a classical nonlinear contro...
This Special Issue includes 12 high-quality articles containing original research findings in the fi...
International audienceThis paper presents the first version of an algorithmic scheme dedicated to th...
In the first part of this paper we show how inverse problems for differential equations can be solve...
An inverse numerical method that estimate parameters of dynamic mathematical models given some infor...
The major purpose of this paper is to show the application of first order ordinary differential equa...
This book developed from classes in mathematical biology taught by the authors over several years at...
We were interested in the change of the qualitative behaviour of a parameterized system of non-linea...
International audienceThis paper describes applications of a computer algebra method, differential e...
Extended abstract of an invited talk at Differential Algebra and related Computer Algebra (Catania, ...
Differential algebra is an algebraic theory for studying systems of polynomial ordinary differential...
International audienceDifferential algebra is an algebraic theory for differential equations (ordina...
tutorial talk for AB 2008.International audienceAmong all the modeling approaches dedicated to cellu...
We develop new upper bounds for several effective differential elimination techniques for systems of...
The 1)rimary focus of this work is the design and implementation of efficient differential eliminati...
We present a first version of a software dedicated to an application of a classical nonlinear contro...
This Special Issue includes 12 high-quality articles containing original research findings in the fi...
International audienceThis paper presents the first version of an algorithmic scheme dedicated to th...
In the first part of this paper we show how inverse problems for differential equations can be solve...
An inverse numerical method that estimate parameters of dynamic mathematical models given some infor...
The major purpose of this paper is to show the application of first order ordinary differential equa...
This book developed from classes in mathematical biology taught by the authors over several years at...
We were interested in the change of the qualitative behaviour of a parameterized system of non-linea...