Within-host infection dynamics with master equations and the method of moments: A case study of human papillomavirus in the epithelium

MC Boudreau, JA Cohen… - arXiv preprint arXiv …, 2024 - arxiv.org
Master equations provide researchers with the ability to track the distribution over possible
states of a system. From these equations, we can summarize the temporal dynamics through …

Modeling and mathematical analysis of the dynamics of HPV in cervical epithelial cells: transient, acute, latency, and chronic infections

JC Sierra-Rojas, R Reyes-Carreto… - … Methods in Medicine, 2022 - Wiley Online Library
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 …

Finite Difference Method for Infection Model of HPV with Cervical Cancer under Caputo Operator

B Bajjah, M Modanli - Discrete Dynamics in Nature and Society, 2024 - Wiley Online Library
In this paper, a fractional model in the Caputo sense is used to characterize the dynamics of
HPV with cervical cancer. Generalized mean value theorem has been used to examine …

[PDF][PDF] An age-structured SIPC model of cervical cancer with immunotherapy

ER Sari, L Aryati, F Adi-Kusumo - AIMS Mathematics, 2024 - aimspress.com
Immunotherapy is a targeted therapy that can be applied to cervical cancer patients to
prevent DNA damage caused by human papillomavirus (HPV). The HPV infects normal …

Probabilistic modeling of disease: Addressing uncertainties in within-host and population-level dynamics

MC Boudreau - 2024 - search.proquest.com
Mathematical modeling of disease dynamics provides powerful tools to understand, predict,
and evaluate emerging diseases. These insights aid public health officials, along with other …

Ускладнення променевої терапії у хворих на рак та зміни гомеостазу

МВ Красносельський, ГВ Кулініч, ФВ Гладких - 2023 - pubmed.com.ua
Монографія присвячена аналізу катамнестичних чинників, асоційованих з підвищеним
ризиком розвитку пізніх променевих ускладнень. Проведено ретроспективний аналіз …

[HTML][HTML] Well-Posedness and a Finite Difference Approximation for a Mathematical Model of HPV-Induced Cervical Cancer

B Ma, JJ Thibodeaux - Applied Mathematics, 2023 - scirp.org
We present a first-order finite difference scheme for approximating solutions of a
mathematical model of cervical cancer induced by the human papillomavirus (HPV), which …

[PDF][PDF] Research Article Modeling and Mathematical Analysis of the Dynamics of HPV in Cervical Epithelial Cells: Transient, Acute, Latency, and Chronic Infections

JC Sierra-Rojas, R Reyes-Carreto, C Vargas-De-León… - 2022 - academia.edu
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 …

[PDF][PDF] A MATHEMATICAL STUDY ON THE STAGES OF CERVICAL CANCER

GG Priya, A Sabarmathi - advancedengineeringscience.com
In this paper, a mathematical model of Cervical Cancer is formulated. The boundedness and
the positiveness of state variables are verified. The equilibrium points are found. The local …