9 citations · 9 across the 3 of their papers we have counts for
11 papers
Algorithm for globally identifiable reparametrizations of ODEs
Sebastian Falkensteiner, Alexey Ovchinnikov, J. Rafael Sendra
Structural global parameter identifiability indicates whether one can determine a parameter's value in an ODE model from given inputs and outputs. If a given model has parameters f…
The fundamental theorem of tropical differential algebra for formal Puiseux series
Sebastian Falkensteiner, Stefano Mereta
The fundamental theorem of tropical differential algebra has been established for formal power series solutions of systems of algebraic differential equations. It has been shown th…
Tropical initial degeneration for systems of algebraic differential equations
Lara Bossinger, Sebastian Falkensteiner, Cristhian Garay-López +1
We study the notion of degeneration for affine schemes associated to systems of algebraic differential equations with coefficients in the fraction field of a multivariate formal po…
Rational Solutions of Parametric First-Order Algebraic Differential Equations
Sebastian Falkensteiner, Rafael Sendra
In this paper, we give an algorithm for finding general rational solutions of a given first-order ODE with parametric coefficients that occur rationally. We present an analysis, co…
Infinite matroids in tropical differential algebra
F. Aroca, L. Bossinger, S. Falkensteiner +3
We consider a finite-dimensional vector space over an arbitrary field and an arbitrary set . We show that the set consisting of the minimal…
On real and observable rational realizations of input-output equations
Sebastian Falkensteiner, Dmitrii Pavlov, Rafael Sendra
Given a single (differential-algebraic) input-output equation, we present a method for finding different representations of the associated system in the form of rational realizatio…