ReviewFrontiers in microbiology2018
Mathematical Analysis of Viral Replication Dynamics and Antiviral Treatment Strategies: From Basic Models to Age-Based Multi-Scale Modeling.
Review in Frontiers in microbiology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 43 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
43 citing papers in PubMed.
- Clinical efficacy of Jingyin granules, a Chinese patent medicine, in treating patients infected with coronavirus disease 2019.Phytomedicine : international journal of phytotherapy and phytopharmacology · 2023Trial
- Analysis and simulation of a stochastic reaction-diffusion model for HBV infection under antiviral treatment.BMC infectious diseases · 2026Article
- Ordinary differential equation models of SARS-CoV-2 replication dynamics and antiviral drug efficacies.Npj viruses · 2026Review
- Heterogeneous immune recovery after viral response through a dynamical model of feedback-driven persistence and clearance.Frontiers in immunology · 2026Article
- Metabolic modeling elucidates phenformin and atpenin A5 as broad-spectrum antiviral drugs against RNA viruses.Communications biology · 2025Article
- Review
- Within- and between-host evolutionary effects on viral oncogenicity.Virus evolution · 2025Article
- Article
- A mathematical model simulating the adaptive immune response in various vaccines and vaccination strategies.Scientific reports · 2024Article
- Review
- Incorporating Intracellular Processes in Virus Dynamics Models.Microorganisms · 2024Review
- How robust are estimates of key parameters in standard viral dynamic models?PLoS computational biology · 2024Article
- Mathematical Modeling of Virus-Mediated Syncytia Formation: Past Successes and Future Directions.Results and problems in cell differentiation · 2024Review
- Antiviral polysaccharide and antiviral peptide delivering nanomaterials for prevention and treatment of SARS-CoV-2 caused COVID-19 and other viral diseases.Journal of controlled release : official journal of the Controlled Release Society · 2023Review
- Monkeypox: a review of epidemiological modelling studies and how modelling has led to mechanistic insight.Epidemiology and infection · 2023Review
- Mathematical modeling of plus-strand RNA virus replication to identify broad-spectrum antiviral treatment strategies.PLoS computational biology · 2023Article
- A mathematical model and numerical simulation for SARS-CoV-2 dynamics.Scientific reports · 2023Article
- Modulating Immune Response in Viral Infection for Quantitative Forecasts of Drug Efficacy.Pharmaceutics · 2023Review
- Trajectories of COVID-19: A longitudinal analysis of many nations and subnational regions.PloS one · 2023Article
- A drug-disease model for predicting survival in an Ebola outbreak.Clinical and translational science · 2022Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Viral infectious diseases are a global health concern, as is evident by recent outbreaks of the middle east respiratory syndrome, Ebola virus disease, and re-emerging zika, dengue, and chikungunya fevers. Viral epidemics are a socio-economic burden that causes short- and long-term costs for disease diagnosis and treatment as well as a loss in productivity by absenteeism. These outbreaks and their socio-economic costs underline the necessity for a precise analysis of virus-host interactions, which would help to understand disease mechanisms and to develop therapeutic interventions. The combination of quantitative measurements and dynamic mathematical modeling has increased our understanding of the within-host infection dynamics and has led to important insights into viral pathogenesis, transmission, and disease progression. Furthermore, virus-host models helped to identify drug targets, to predict the treatment duration to achieve cure, and to reduce treatment costs. In this article, we review important achievements made by mathematical modeling of viral kinetics on the extracellular, intracellular, and multi-scale level for Human Immunodeficiency Virus, Hepatitis C Virus, Influenza A Virus, Ebola Virus, Dengue Virus, and Zika Virus. Herein, we focus on basic mathematical models on the population scale (so-called target cell-limited models), detailed models regarding the most important steps in the viral life cycle, and the combination of both. For this purpose, we review how mathematical modeling of viral dynamics helped to understand the virus-host interactions and disease progression or clearance. Additionally, we review different types and effects of therapeutic strategies and how mathematical modeling has been used to predict new treatment regimens.
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