title: Multiscale modeling of virus replication and spread.
abstract: Replication and spread of human viruses is based on the simultaneous exploitation of many different host functions, bridging multiple scales in space and time. Mathematical modeling is essential to obtain a systems-level understanding of how human viruses manage to proceed through their life cycles. Here, we review corresponding advances for viral systems of large medical relevance, such as human immunodeficiency virus-1 (HIV-1) and hepatitis C virus (HCV). We will outline how the combination of mathematical models and experimental data has advanced our quantitative knowledge about various processes of these pathogens, and how novel quantitative approaches promise to fill remaining gaps.
authors.affiliation: BioQuant-Center, Heidelberg University, Germany.|Center for Modeling and Simulation in the Biosciences (BIOMS), Heidelberg University, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Kumberger
authors.affiliation: BioQuant-Center, Heidelberg University, Germany.|Institute for Theoretical Physics, Heidelberg University, Germany.
authors.forename: Felix
authors.initials: F
authors.lastname: Frey
authors.affiliation: BioQuant-Center, Heidelberg University, Germany.|Institute for Theoretical Physics, Heidelberg University, Germany.
authors.forename: Ulrich S
authors.initials: US
authors.lastname: Schwarz
authors.affiliation: BioQuant-Center, Heidelberg University, Germany.|Center for Modeling and Simulation in the Biosciences (BIOMS), Heidelberg University, Germany.
authors.forename: Frederik
authors.initials: F
authors.lastname: Graw
mesh_terms: D000818:Animals; D006801:Humans; D008954:Models, Biological; D009928:Organ Specificity; D019065:Virus Assembly; D053586:Virus Internalization; D014779:Virus Replication / Q000502:physiology*
keywords: HCV; HIV; mathematical modeling; quantitative viral dynamics; systems biology