2 citations · 5 across the 6 of their papers we have counts for
6 papers
Framing local structural identifiability and observability in terms of parameter-state symmetries
Johannes G. Borgqvist, Alexander P. Browning, Fredrik Ohlsson +1
We introduce a subclass of Lie symmetries, called parameter-state symmetries, to analyse the local structural identifiability and observability of mechanistic models consisting of…
Framing structural identifiability in terms of parameter symmetries
Johannes G Borgqvist, Alexander P Browning, Fredrik Ohlsson +1
A key step in mechanistic modelling of dynamical systems is to conduct a structural identifiability analysis. This entails deducing which parameter combinations can be estimated fr…
Construction of integrable generalised travelling wave models and analytical solutions using Lie symmetries
Johannes G. Borgqvist, Fredrik Ohlsson, Xingjian Zhou +1
Certain solutions of autonomous PDEs without any boundary conditions describing the spatiotemporal evolution of a dependent variable in an unbounded spatial domain can be character…
Energy translation symmetries and dynamics of separable autonomous two-dimensional ODEs
Johannes G. Borgqvist, Fredrik Ohlsson, Ruth E. Baker
We study symmetries in the phase plane for separable, autonomous two-state systems of ordinary differential equations (ODEs). We prove two main theoretical results concerning the e…
On the correspondence between symmetries of two-dimensional autonomous dynamical systems and their phase plane realisations
Fredrik Ohlsson, Johannes G. Borgqvist, Ruth E. Baker
We consider the relationship between symmetries of two-dimensional autonomous dynamical system in two common formulations; as a set of differential equations for the derivative of…
Symmetries of systems of first order ODEs: Symbolic symmetry computations, mechanistic model construction and applications in biology
Johannes Borgqvist, Fredrik Ohlsson, Ruth E. Baker
We discuss the role and merits of symmetry methods for the analysis of biological systems. In particular, we consider systems of first order ordinary differential equations and pro…