Calculating all multiple parameter solutions of ODE models to avoid biological misinterpretations

DOI10.3934/mbe.2019322zbMath1470.92126OpenAlexW2962075007WikidataQ91167777 ScholiaQ91167777MaRDI QIDQ2045450

Karl Thomaseth, Maria Pia Saccomani

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019322

zbMATH Keywords

parameter estimationdifferential equationbiological systemsHIV modellocal identifiabilitymultiple parameter solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Qualitative investigation and simulation of ordinary differential equation models (34C60) Systems biology, networks (92C42)

Uses Software

• DAISY
• GenSSI
• PESTO
• PottersWheel

Cites Work

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• Minimal output sets for identifiability
• An effective automatic procedure for testing parameter identifiability of HIV/AIDS models
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• On global identifiability for arbitrary model parametrizations
• Dynamics of HIV infection of CD4\(^ +\) T cells
• An investigation of the sources of nonuniqueness in deterministic identifiability
• Parameter Estimation of a Model for Baroreflex Control of Unstressed Volume

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