12 citations · 26 across the 7 of their papers we have counts for
8 papers
On the autonomisation of differential equations I: Sundman transformations for Painlevé equations I-IV
Pilar R. Gordoa, Alexandru Iosif, Andrew Pickering
We consider the application of Sundman transformations to the first four Painlevé equations -, with and being left for future work. Since the Painlevé e…
Duality in mass-action networks
Alexandru Iosif
Mass-action networks are special cases of chemical reaction networks. For these systems, we argue that conserved quantities are dual to internal cycles. We introduce maximal invari…
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…
Analysis of the Conradi-Kahle Algorithm for Detecting Binomiality on Biological Models
Alexandru Iosif, Hamid Rahkooy
We analyze the Conradi-Kahle Algorithm for detecting binomiality. We present experiments using two implementations of the algorithm in Macaulay2 and Maple on biological models and…
Efficiently and Effectively Recognizing Toricity of Steady State Varieties
Dima Grigoriev, Alexandru Iosif, Hamid Rahkooy +2
We consider the problem of testing whether the points in a complex or real variety with non-zero coordinates form a multiplicative group or, more generally, a coset of a multiplica…
Multistationarity in the space of total concentrations for systems that admit a monomial parametrization
Carsten Conradi, Alexandru Iosif, Thomas Kahle
We apply tools from real algebraic geometry to the problem of multistationarity of chemical reaction networks. A particular focus is on the case of reaction networks whose steady s…
A Geometric View of the Sieve of Eratosthenes
Alexandru Iosif
We study the geometry of the Sieve of Eratosthenes. We introduce some concepts as Focals and Extremes. We find a symmetry in the distribution of the Focals (all the information abo…