Finding solvable units of variables in nonlinear ODEs of ECM degradation pathway network
type: Item
instance of: scholarly article
title: Finding solvable units of variables in nonlinear ODEs of ECM degradation pathway network
zbMATH Open document ID: 1382.92150
DOI: 10.1155/2017/5924270
author: Dhisa Minerva
author: Keiko Itano
author: Takashi Suzuki
author: Shu-Ji Kawasaki
published in: Computational \& Mathematical Methods in Medicine
publication date: 2018-03-15T00:00:00Z
review text: Summary: We consider ordinary differential equation (ODE) model for a pathway network that arises in extracellular matrix (ECM) degradation. For solving the ODEs, we propose applying the mass conservation law (MCL), together with a stoichiometry called \textit{doubling rule}, to them. Then it leads to extracting new units of variables in the ODEs that can be solved explicitly, at least in principle. The simulation results for the ODE solutions show that the numerical solutions are indeed in good accord with theoretical solutions and satisfy the MALs.
Mathematics Subject Classification ID: 92C45
Mathematics Subject Classification ID: 92C40
zbMATH DE Number: 6850519
zbMATH Keywords: extracellular matrix
zbMATH Keywords: mass conservation law
zbMATH Keywords: doubling rule
Wikidata QID: Q41859853
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/5924270
OpenAlex ID: W2618518959
description: scientific article; zbMATH DE number 6850519