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pro vyhledávání: '"Borgqvist, Johannes G"'
A key initial step in mechanistic modelling of dynamical systems using first-order ordinary differential equations is to conduct a global structural identifiability analysis. This entails deducing which parameter combinations can be estimated from ce
Externí odkaz:
http://arxiv.org/abs/2410.03757
Prion-like proteins play crucial parts in biological processes in organisms ranging from yeast to humans. For instance, many neurodegenerative diseases are believed to be caused by the production of prion-like proteins in neural tissue. As such, unde
Externí odkaz:
http://arxiv.org/abs/2405.10070
Certain solutions of autonomous PDEs without any boundary conditions describing the spatiotemporal evolution of a dependent variable in an unbounded spatial domain can be characterised as a travelling wave moving with constant speed. In the simplest
Externí odkaz:
http://arxiv.org/abs/2310.08296
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 existence and non-triviality of two orthogonal symmetries for such syst
Externí odkaz:
http://arxiv.org/abs/2302.10053
Publikováno v:
Physica D: Nonlinear Phenomena 461 (2024) 134113
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 each state with respect to time, and a single differential equation in
Externí odkaz:
http://arxiv.org/abs/2212.04847
Publikováno v:
In Physica D: Nonlinear Phenomena May 2024 461
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Akademický článek
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Autor:
Borgqvist, Johannes G., Palmer, Sam
We demonstrate the power of using symmetries for model selection in the context of mechanistic modelling. We analyse two different models called the power law model (PLM) and the immunological model (IM) describing the increase in cancer risk with ag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e481a49f7d4ea6774a899b2d450c236