Optimal Control of an HIV Immunology Model

نویسنده

  • Hem Raj Joshi
چکیده

A system of ordinary differential equations, which describes the interaction of HIV and T -cells in the immune system is utilized, and optimal controls representing drug treatment strategies of this model are explored. Two types of treatments are used, and existence and uniqueness results for the optimal control pair are established. The optimality system is derived and then solved numerically using an iterative method with Runge-Kutta fourth order scheme.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Control Parametrization Enhancing Technique for Multi-Objective Optimal Control of HIV Dynamic

In this paper‎, ‎a computational approach is adopted for solving a multi-objective optimal control problem (MOOCP) formulation of optimal drug scheduling in human immunodeficiency (HIV) virus infected by individuals‎. ‎The MOOCP‎, ‎which uses a mathematical model of HIV infection‎, ‎has some incompatible objectives‎. ‎The objectives are maximizing the survival time of patients‎, ‎the level of D...

متن کامل

Immunogenicity of a New HIV-1 DNA Construct in a BALB/c Mouse Model

Background: Cell mediated immunity, especially cytotoxic T cell responses against HIV-1 infection, plays a critical role in controlling viral replication and disease progres-sion. DNA vaccine is a novel technology which is known to stimulate strong cellular immune responses. Many DNA vaccines have been tested for HIV infection but there is still no effective vaccine against this infection. Cons...

متن کامل

Sub-optimal Estimation of HIV Time-delay Model using State-Dependent Impulsive Observer with Time-varying Impulse Interval: Application to Continuous-time and Impulsive Inputs

Human Immunodeficiency Virus (HIV) weakens the immune system in confronting various diseases by attacking to CD4+T cells. In modeling HIV behavior, the number of CD4+T cells is considered as the output. But, continuous-time measurement of these cells is not possible in practice, and the measurement is only available at variable intervals that are several times bigger than sampling time. In this...

متن کامل

HIV Model Analysis Under Optimal Control Based Treatment Strategies

In this paper we describe a model of the immunologic response of the human immunodeficiency virus (HIV) in individuals. We illustrate how optimal control methodology can produce a drug dosing strategy and how this treatment strategy possesses features of structured treatment interruptions (STI). We then perform a sensitivity analysis of the model, illustrating use of both classical sensitivity ...

متن کامل

A numerical approach for optimal control model of the convex semi-infinite programming

In this paper, convex semi-infinite programming is converted to an optimal control model of neural networks and the optimal control model is solved by iterative dynamic programming method. In final, numerical examples are provided for illustration of the purposed method.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002