ArticleComputational and mathematical methods in medicine2022
Modeling and Mathematical Analysis of the Dynamics of HPV in Cervical Epithelial Cells: Transient, Acute, Latency, and Chronic Infections.
Article in Computational and mathematical methods in medicine, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed, 6 citations in OpenAlex.
- Within host dynamics of HPV infection with cellular immunity and HPV-infected dormant cells reactivation.Infectious Disease Modelling · 2026Article
- Crafting an innovative one health-aligned machine learning framework for neglected tropical diseases elimination.Journal of advanced research · 2026Article
- Dynamics of Cervical Lesions After Excisional Treatment in Relation to HPV Genotypes and Cytological Findings.Journal of clinical medicine · 2026Article
- In-host density-dependent model of high-risk HPV virions, basal cells, lymphocytes t-cells incorporating functional responses.Heliyon · 2024Article
- Stochastic dynamics of human papillomavirus delineates cervical cancer progression.Journal of mathematical biology · 2023Article
Corrections and comments
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Authors and funding
4 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The aim of this paper is to model the dynamics of the human papillomavirus (HPV) in cervical epithelial cells. We developed a mathematical model of the epithelial cellular dynamics of the stratified epithelium of three (basale, intermedium, and corneum) stratums that is based on three ordinary differential equations. We determine the biological condition for the existence of the epithelial cell homeostasis equilibrium, and we obtain the necessary and sufficient conditions for its global stability using the method of Lyapunov functions and a theorem on limiting systems. We have also developed a mathematical model based on seven ordinary differential equations that describes the dynamics of HPV infection. We calculated the basic reproductive number (
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.