Mathematical Analysis of a Transformed ODE from a PDE Multiscale Model of Hepatitis C Virus Infection

• Published in: Bulletin of mathematical biology Vol. 81; no. 5; pp. 1427 - 1441
• Main Authors: Kitagawa, Kosaku, Kuniya, Toshikazu, Nakaoka, Shinji, Asai, Yusuke, Watashi, Koichi, Iwami, Shingo
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.05.2019; Springer Nature B.V
• Subjects: Age; Basic Reproduction Number - statistics & numerical data; Cell Biology; Data analysis; Data processing; Hepacivirus - pathogenicity; Hepacivirus - physiology; Hepatitis C; Hepatitis C - transmission; Hepatitis C - virology; Humans; Life Sciences; Mathematical analysis; Mathematical and Computational Biology; Mathematical Concepts; Mathematical models; Mathematics; Mathematics and Statistics; Models, Biological; Ordinary differential equations; Partial differential equations; RNA, Viral - metabolism; Viral infections; Virus Replication; Viruses; PDE; Viral dynamics; Multiscale model; HCV; Mathematical model

Mathematical modeling has revealed the quantitative dynamics during the process of viral infection and evolved into an important tool in modern virology. Coupled with analyses of clinical and experimental data, the widely used basic model of viral dynamics described by ordinary differential equation...