18 citations · 18 across the 1 of their papers we have counts for
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First-Order Tests for Toricity
Hamid Rahkooy, Thomas Sturm
Motivated by problems arising with the symbolic analysis of steady state ideals in Chemical Reaction Network Theory, we consider the problem of testing whether the points in a comp…
A Linear Algebra Approach for Detecting Binomiality of Steady State Ideals of Reversible Chemical Reaction Networks
Hamid Rahkooy, Ovidiu Radulescu, Thomas Sturm
Motivated by problems from Chemical Reaction Network Theory, we investigate whether steady state ideals of reversible reaction networks are generated by binomials. We take an algeb…
Identifying the Parametric Occurrence of Multiple Steady States for some Biological Networks
R. Bradford, J. H. Davenport, M. England +8
We consider a problem from biological network analysis of determining regions in a parameter space over which there are multiple steady states for positive real values of variables…
Positive Solutions of Systems of Signed Parametric Polynomial Inequalities
Hoon Hong, Thomas Sturm
We consider systems of strict multivariate polynomial inequalities over the reals. All polynomial coefficients are parameters ranging over the reals, where for each coefficient we…
Symbolic Versus Numerical Computation and Visualization of Parameter Regions for Multistationarity of Biological Networks
Matthew England, Hassan Errami, Dima Grigoriev +3
We investigate models of the mitogenactivated protein kinases (MAPK) network, with the aim of determining where in parameter space there exist multiple positive steady states. We b…