2 citations · 3 across the 7 of their papers we have counts for
8 papers
Identifiability from a few species for a class of biochemical reaction networks
Gabriela Jeronimo, Mercedes Pérez Millán, Pablo Solernó
Under mass-action kinetics, biochemical reaction networks give rise to polynomial autonomous dynamical systems whose parameters are often difficult to estimate. We deal in this pap…
On Bezout Inequalities for non-homogeneous Polynomial Ideals
Amir Hashemi, Joos Heintz, Luis Miguel Pardo +1
We introduce a "workable" notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic Bézout Inequalities for the sum of two ideals in terms of t…
A decision method for the integrability of differential-algebraic Pfaffian systems
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solernó
We prove an effective integrability criterion for differential-algebraic Pfaffian systems leading to a decision method of consistency with a triple exponential complexity bound. As…
Degeneracy loci and polynomial equation solving
Bernd Bank, Marc Giusti, Joos Heintz +3
Let V be a smooth equidimensional quasi-affine variety of dimension r over the complex numbers and let be a -matrix of coordinate functions of , where $s…
Effective Differential Nullstellensatz for Ordinary DAE Systems with Constant Coefficients
Lisi D'Alfonso, Gabriela Jeronimo, Pablo Solernó
We give upper bounds for the differential Nullstellensatz in the case of ordinary systems of differential algebraic equations over any field of constants of characteristic .…
A Geometric Index Reduction Method for Implicit Systems of Differential Algebraic Equations
Lisi D'Alfonso, Gabriella Jeronimo, François Ollivier +2
This paper deals with the index reduction problem for the class of quasi-regular DAE systems. It is shown that any of these systems can be transformed to a generically equivalent f…