Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network
Joint Authors
Kawasaki, Shuji
Minerva, Dhisa
Itano, Keiko
Suzuki, Takashi
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-30
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 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.
American Psychological Association (APA)
Kawasaki, Shuji& Minerva, Dhisa& Itano, Keiko& Suzuki, Takashi. 2017. Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network. Computational and Mathematical Methods in Medicine،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142214
Modern Language Association (MLA)
Kawasaki, Shuji…[et al.]. Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network. Computational and Mathematical Methods in Medicine No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1142214
American Medical Association (AMA)
Kawasaki, Shuji& Minerva, Dhisa& Itano, Keiko& Suzuki, Takashi. Finding Solvable Units of Variables in Nonlinear ODEs of ECM Degradation Pathway Network. Computational and Mathematical Methods in Medicine. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142214
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142214