title: A conservation law for virus infection kinetics in vitro.
abstract: Conservation laws are among the most important properties of a physical system, but are not commonplace in biology. We derived a conservation law from the basic model for viral infections which consists in a small set of ordinary differential equations. We challenged the conservation law experimentally for the case of a virus infection in a cell culture. We found that the derived, conserved quantity remained almost constant throughout the infection period, implying that the derived conservation law holds in this biological system. We also suggest a potential use for the conservation law in evaluating the accuracy of experimental measurements.
authors.affiliation: Department of Biology, Kyushu University, Fukuoka, Japan.
authors.forename: Yusuke
authors.initials: Y
authors.lastname: Kakizoe
authors.affiliation: Department of Mathematical and Systems Engineering, Shizuoka University, Shizuoka, Japan.
authors.forename: Satoru
authors.initials: S
authors.lastname: Morita
authors.affiliation: Graduate School of Medicine, University of Tokyo, Tokyo, Japan.
authors.forename: Shinji
authors.initials: S
authors.lastname: Nakaoka
authors.affiliation: College of Science and Engineering, Aoyama Gakuin University, Kanagawa, Japan.
authors.forename: Yasuhiro
authors.initials: Y
authors.lastname: Takeuchi
authors.affiliation: Institute for Virus Research, Kyoto University, Kyoto, Japan; CREST, JST, Saitama, Japan.
authors.forename: Kei
authors.initials: K
authors.lastname: Sato
authors.affiliation: Institute for Virus Research, Kyoto University, Kyoto, Japan.
authors.forename: Tomoyuki
authors.initials: T
authors.lastname: Miura
authors.affiliation: Department of Physics, Ryerson University, Toronto, Canada.
authors.forename: Catherine A A
authors.initials: CA
authors.lastname: Beauchemin
authors.affiliation: Department of Biology, Kyushu University, Fukuoka, Japan; CREST, JST, Saitama, Japan; PRESTO, JST, Saitama, Japan. Electronic address: siwami@kyushu-u.org.
authors.forename: Shingo
authors.initials: S
authors.lastname: Iwami
mesh_terms: D000818:Animals; D002460:Cell Line; D006801:Humans; D007700:Kinetics; D008954:Models, Biological; D014777:Virus Diseases / Q000378:metabolism*
keywords: Conservation law; Mathematical model; Population dynamics; Virus infection