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We study within-host HIV dynamics using a three--component nonlinear ordinary differential equation model for healthy CD4$^{+}$ T cells, infected CD4$^{+}$ T cells, and free virus. In addition to the baseline model without treatment, we…

Numerical Analysis · Mathematics 2025-12-16 Abdul Rab

In this paper we consider the evolution of the HIV infection under a highly effective treatment based on a combination of RTI and/or PI drugs. This is usually modelled with a set of ODEs where the drug efficacy is a constant. In this paper…

Populations and Evolution · Quantitative Biology 2007-05-23 G. Della Rocca , M. Sammartino , L. Seta

Combination Antiretroviral Therapy (cART) succeeds to control viral replication in most HIV infected patients. This is normally followed by a reconstitution of the CD4$^+$ T cells pool; however, this does not happen for a substantial…

Applications · Statistics 2016-02-18 Ana Jarne , Daniel Commenges , Mélanie Prague , Yves Levy , Rodolphe Thiébaut

The sequential treatment decisions made by physicians to treat chronic diseases are formalized in the statistical literature as dynamic treatment regimes. To date, methods for dynamic treatment regimes have been developed under the…

Methodology · Statistics 2022-02-22 Janie Coulombe , Erica E. M. Moodie , Susan M. Shortreed , Christel Renoux

Equipment sharing among people who inject drugs (PWID) is a key risk factor in infection by hepatitis C virus (HCV). Both the effectiveness and cost-effectiveness of interventions aimed at reducing HCV transmission in this population (such…

Hepatitis C is a viral infection that appears as a result of the Hepatitis C Virus (HCV), and it has been recognized as the main reason for liver diseases. HCV incidence is growing as an important issue in the epidemiology of infectious…

Populations and Evolution · Quantitative Biology 2020-07-28 Javad Khodaei-Mehr , Samaneh Tangestanizadeh , Mojtaba Sharifi , Ramin Vatankhah , Mohammad Eghtesad

The best way to treat chronic hepatitis B is with pegylated interferon alone or with oral antiviral drugs. There is limited research comparing the renal safety of entecavir and tenofovir when used with pegylated interferon. This study will…

Quantitative Methods · Quantitative Biology 2024-03-06 Jinhua Zhao , Lili Wu , Xiaoan Yang , Zhilaing Gao , Hong Deng

We propose and study a new mathematical model of the human immunodeficiency virus (HIV). The main novelty is to consider that the antibody growth depends not only on the virus and on the antibodies concentration but also on the uninfected…

Optimization and Control · Mathematics 2022-01-26 Karam Allali , Sanaa Harroudi , Delfim F. M. Torres

The application of existing methods for constructing optimal dynamic treatment regimes is limited to cases where investigators are interested in optimizing a utility function over a fixed period of time (finite horizon). In this manuscript,…

Methodology · Statistics 2015-10-22 Ashkan Ertefaie

Proliferation of uninfected as well as infected hepatocytes and recycling of DNA-containing capsids are two major mechanisms playing significant roles in the clearance of hepatitis B virus (HBV) infection. In this study, the temporal…

Populations and Evolution · Quantitative Biology 2024-01-23 Rupchand Sutradhar , D C Dalal

Hypertension is a leading cause of cardiovascular diseases and morbidity, with antihypertensive drugs and blood pressure management strategies having heterogeneous effects on patients. Previous authors exploited this heterogeneity to…

Methodology · Statistics 2025-01-15 Janie Coulombe , Dany El-Riachi , Fanxing Du , Tianze Jiao

Existing strategies for determining the optimal treatment or monitoring strategy typically assume unlimited access to resources. However, when a health system has resource constraints, such as limited funds, access to medication, or…

Applications · Statistics 2019-03-18 Ellen C Caniglia , Eleanor J Murray , Miguel A Hernan , Zach Shahn

This study demonstrates the implementation of the stochastic ruler discrete simulation optimization method for calibrating an agent-based model (ABM) developed to simulate hepatitis C virus (HCV) transmission. The ABM simulates HCV…

Systems and Control · Electrical Eng. & Systems 2022-03-04 Soham Das , Navonil Mustafee , Varun Ramamohan

Appropriate medication dosages in the intensive care unit (ICU) are critical for patient survival. Heparin, used to treat thrombosis and inhibit blood clotting in the ICU, requires careful administration due to its complexity and…

Machine Learning · Computer Science 2025-12-09 Yooseok Lim , Inbeom Park , Sujee Lee

Hepatitis C virus (HCV) infection is endemic in people who inject drugs (PWID), with prevalence estimates above 60 percent for PWID in the United States. Previous modeling studies suggest that direct acting antiviral (DAA) treatment can…

Populations and Evolution · Quantitative Biology 2019-03-06 Bilal Khan , Ian Duncan , Mohamad Saad , Daniel Schaefer , Ashly Jordan , Daniel Smith , Alan Neaigus , Don Des Jarlais , Holly Hagan , Kirk Dombrowski

Background Achieving hepatitis C elimination is hampered by the costs of treatment and the need to treat hard-to-reach populations. Treatment access could be widened by shortening treatment, but limited research means it is unclear which…

Applications · Statistics 2019-11-07 L. McCabe , I. R. White , N. V. Vinh Chau , E. Barnes , S. L. Pett , G. S. Cooke , A. S. Walker

Dynamic treatment regimes are sequential decision rules that adapt treatment according to individual time-varying characteristics and outcomes to achieve optimal effects, with applications in precision medicine, personalized…

Methodology · Statistics 2025-10-24 Yuanshan Gao , Yang Bai , Yifan Cui

This paper considers a mathematical model based on the transmission dynamics of hepatitis C virus (HCV) infection. In addition to the usual compartments for susceptible, exposed, and infected individuals, this model includes compartments…

Populations and Evolution · Quantitative Biology 2017-12-25 Daniah Tahir , Abid Ali Lashari , Kazeem Oare Okosun

Background and Aims: Pegylated interferon (PEG-IFN) combined with oral antiviral agents is currently the most widely used and highly effective treatment regimen for chronic hepatitis B virus (HBV) infection. While effectively suppressing…

Tissues and Organs · Quantitative Biology 2025-09-22 Zhao Jinhua

Pathology tests are central to modern healthcare in terms of diagnosis and patient management. Aggregated pathology results provide opportunities for research into fundamental and applied questions in health and medicine, but data analytic…

Applications · Statistics 2022-05-05 N. Menon , B. A. Lidbury , A. M. Richardson