119 citations · 269 across the 38 of their papers we have counts for
6 papers · 1 filter
Elimination of unknowns for systems of algebraic differential-difference equations
Wei Li, Alexey Ovchinnikov, Gleb Pogudin +1
We establish effective elimination theorems for differential-difference equations. Specifically, we find a computable function of the natural number parameters and …
SIAN: software for structural identifiability analysis of ODE models
Hoon Hong, Alexey Ovchinnikov, Gleb Pogudin +1
Biological processes are often modeled by ordinary differential equations with unknown parameters. The unknown parameters are usually estimated from experimental data. In some case…
Primitive Element Theorem for Fields with Commuting Derivations and Automorphisms
Gleb Pogudin
We establish a Primitive Element Theorem for fields equipped with several commuting operators such that each of the operators is either a derivation or an automorphism. More precis…
Degree bound for toric envelope of a linear algebraic group
Eli Amzallag, Andrei Minchenko, Gleb Pogudin
Algorithms working with linear algebraic groups often represent them via defining polynomial equations. One can always choose defining equations for an algebraic group to be of the…
Irredundant Triangular Decomposition
Gleb Pogudin, Agnes Szanto
Triangular decomposition is a classic, widely used and well-developed way to represent algebraic varieties with many applications. In particular, there exist sharp degree bounds fo…
Global Identifiability of Differential Models
Hoon Hong, Alexey Ovchinnikov, Gleb Pogudin +1
Many real-world processes and phenomena are modeled using systems of ordinary differential equations with parameters. Given such a system, we say that a parameter is globally ident…