187 citations · 579 across the 36 of their papers we have counts for
39 papers
Identifying Markov chain models from time-to-event data: an algebraic approach
Ovidiu Radulescu, Dima Grigoriev, Matthias Seiss +3
Many biological and medical questions can be modeled using time-to-event data in finite-state Markov chains, with the phase-type distribution describing intervals between events. W…
A Skin Microbiome Model with AMP interactions and Analysis of Quasi-Stability vs Stability in Population Dynamics
Eléa Thibault Greugny, François Fages, Ovidiu Radulescu +2
The skin microbiome plays an important role in the maintenance of a healthy skin. It is an ecosystem, composed of several species, competing for resources and interacting with the…
A Computational Approach to Polynomial Conservation Laws
Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders +4
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. F…
Reduction of Chemical Reaction Networks with Approximate Conservation Laws
Aurélien Desoeuvres, Alexandru Iosif, Christoph Lüders +4
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 integra…
Qualitative dynamics of chemical reaction networks: an investigation using partial tropical equilibrations
Aurélien Desoeuvres, Peter Szmolyan, Ovidiu Radulescu
We discuss a method to describe the qualitative dynamics of chemical reaction networks in terms of symbolic dynamics. The method, that can be applied to mass-action reaction networ…
ODEbase: A Repository of ODE Systems for Systems Biology
Christoph Lüders, Thomas Sturm, Ovidiu Radulescu
Recently, symbolic computation and computer algebra systems have been successfully applied in systems biology, especially in chemical reaction network theory. One advantage of symb…