Existence of a Conserved Quantity and Stability of In Vitro Virus Infection Dynamics Models with Absorption Effect
Joint Authors
Vargas-De-León, Cruz
Martínez-Lázaro, Celia
Taneco-Hernández, Marco Antonio
Reyes-Carreto, Ramón
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The estimation of parameters in biomathematical models is useful to characterize quantitatively the dynamics of biological processes.
In this paper, we consider some systems of ordinary differential equations (ODEs) modelling the viral dynamics in a cell culture.
These models incorporate the loss of viral particles due to the absorption into target cells.
We estimated the parameters of models by least-squares minimization between numerical solution of the system and experimental data of cell cultures.
We derived a first integral or conserved quantity, and we proved the use of experimental data in order to test the conservation law.
The systems have nonhyperbolic equilibrium points, and the conditions for their stability are obtained by using a Lyapunov function.
We complemented these theoretical results with some numerical simulations.
American Psychological Association (APA)
Martínez-Lázaro, Celia& Taneco-Hernández, Marco Antonio& Reyes-Carreto, Ramón& Vargas-De-León, Cruz. 2019. Existence of a Conserved Quantity and Stability of In Vitro Virus Infection Dynamics Models with Absorption Effect. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1130517
Modern Language Association (MLA)
Martínez-Lázaro, Celia…[et al.]. Existence of a Conserved Quantity and Stability of In Vitro Virus Infection Dynamics Models with Absorption Effect. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1130517
American Medical Association (AMA)
Martínez-Lázaro, Celia& Taneco-Hernández, Marco Antonio& Reyes-Carreto, Ramón& Vargas-De-León, Cruz. Existence of a Conserved Quantity and Stability of In Vitro Virus Infection Dynamics Models with Absorption Effect. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1130517
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1130517