119 citations · 269 across the 38 of their papers we have counts for
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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…
Faster Gröbner bases for Lie derivatives of ODE systems via monomial orderings
Mariya Bessonov, Ilia Ilmer, Tatiana Konstantinova +3
Symbolic computation for systems of differential equations is often computationally expensive. Many practical differential models have a form of polynomial or rational ODE system w…
Exact linear reduction for rational dynamical systems
Antonio Jiménez-Pastor, Joshua Paul Jacob, Gleb Pogudin
Detailed dynamical systems models used in life sciences may include dozens or even hundreds of state variables. Models of large dimension are not only harder from the numerical per…