1 citations · 2 across the 4 of their papers we have counts for
15 papers
More Efficient Identifiability Verification in ODE Models by Reducing Non-Identifiability
Ilia Ilmer, Alexey Ovchinnikov, Gleb Pogudin +1
Structural global parameter identifiability indicates whether one can determine a parameter's value from given inputs and outputs in the absence of noise. If a given model has para…
On realizing differential-algebraic equations by rational dynamical systems
Dmitrii Pavlov, Gleb Pogudin
Real-world phenomena can often be conveniently described by dynamical systems (that is, ODE systems in the state-space form). However, if one observes the state of the system only…
From algebra to analysis: new proofs of theorems by Ritt and Seidenberg
Dmitrii Pavlov, Gleb Pogudin, Yury Razmyslov
Ritt's theorem of zeroes and Seidenberg's embedding theorem are classical results in differential algebra allowing to connect algebraic and model-theoretic results on nonlinear PDE…
Web-based Structural Identifiability Analyzer
Ilia Ilmer, Alexey Ovchinnikov, Gleb Pogudin
Parameter identifiability describes whether, for a given differential model, one can determine parameter values from model equations. Knowing global or local identifiability proper…
Interpretable exact linear reductions via positivity
Gleb Pogudin, Xingjian Zhang
Kinetic models of biochemical systems used in the modern literature often contain hundreds or even thousands of variables. While these models are convenient for detailed simulation…
Optimal monomial quadratization for ODE systems
Andrey Bychkov, Gleb Pogudin
Quadratization problem is, given a system of ODEs with polynomial right-hand side, transform the system to a system with quadratic right-hand side by introducing new variables. Suc…