Zobrazeno 1 - 10
of 293
pro vyhledávání: '"Sturm, Thomas"'
Autor:
Desoeuvres, Aurélien, Iosif, Alexandru, Lüders, Christoph, Radulescu, Ovidiu, Rahkooy, Hamid, Seiß, Matthias, Sturm, Thomas
For polynomial ODE models, we introduce and discuss the concepts of exact and approximate conservation laws, which are the first integrals of the full and truncated sets of ODEs. For fast-slow systems, truncated ODEs describe the fast dynamics. We de
Externí odkaz:
http://arxiv.org/abs/2212.14881
Autor:
Desoeuvres, Aurélien, Iosif, Alexandru, Lüders, Christoph, Radulescu, Ovidiu, Rahkooy, Hamid, Seiß, Matthias, Sturm, Thomas
Model reduction of fast-slow chemical reaction networks based on the quasi-steady state approximation fails when the fast subsystem has first integrals. We call these first integrals approximate conservation laws. In order to define fast subsystems a
Externí odkaz:
http://arxiv.org/abs/2212.13474
Recently, symbolic computation and computer algebra systems have been successfully applied in systems biology, especially in chemical reaction network theory. One advantage of symbolic computation is its potential for qualitative answers to biologica
Externí odkaz:
http://arxiv.org/abs/2201.08980
Autor:
Sturm, Thomas, Meer, Rudolf
Publikováno v:
In Studies in History and Philosophy of Science August 2024 106:54-59
Autor:
Rahkooy, Hamid, Sturm, Thomas
We consider the problem of binomiality of the steady state ideals of biochemical reaction networks. We are interested in finding polynomial conditions on the parameters such that the steady state ideal of a chemical reaction network is binomial under
Externí odkaz:
http://arxiv.org/abs/2107.01706
Autor:
Rahkooy, Hamid, Sturm, Thomas
We study real steady state varieties of the dynamics of chemical reaction networks. The dynamics are derived using mass action kinetics with parametric reaction rates. The models studied are not inherently parametric in nature. Rather, our interest i
Externí odkaz:
http://arxiv.org/abs/2105.10853
We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks which comprise chemical reaction networks for cellular biochemistry, and c
Externí odkaz:
http://arxiv.org/abs/2010.10129
Publikováno v:
Math. Comput. Sci., 15(2):333-352, Jun 2021
We discuss the effective computation of geometric singularities of implicit ordinary differential equations over the real numbers using methods from logic. Via the Vessiot theory of differential equations, geometric singularities can be characterised
Externí odkaz:
http://arxiv.org/abs/2003.00740