Fuzzy Logic Strategy for Solving an Optimal Control Problem of Therapeutic Hepatitis C Virus Dynamics

Ntaganda, Jean Marie; Haggar, Mahamat Saleh Daoussa; Mampassi, Benjamin

doi:10.4236/ojapps.2015.59051

Cited by 7 publications

(7 citation statements)

References 26 publications

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“…Non‐linear control techniques play an extraordinary role in the biomedical field[ 27 , 28 , 29 ]. A fuzzy logic‐based optimal control has been proposed for solving the optimal control problem of HCV in [ 30 ]. Chakrabarty and Josh formulated an optimal function for HCV dynamics in [ 31 ] to decrease the viral load by using peg‐IFN‐ α and ribavirin.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy logic and Lyapunov‐based non‐linear controllers for HCV infection

Hamza

Ahmad

Uneeb

2021

IET Systems Biology

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Hepatitis C is the liver disease caused by the Hepatitis C virus (HCV) which can lead to serious health problems such as liver cancer. In this research work, the non‐linear model of HCV having three state variables (uninfected hepatocytes, infected hepatocytes and virions) and two control inputs has been taken into account, and four non‐linear controllers namely non‐linear PID controller, Lyapunov Redesign controller, Synergetic controller and Fuzzy Logic‐Based controller have been proposed to control HCV infection inside the human body. The controllers have been designed for the anti‐viral therapy in order to control the amount of uninfected hepatocytes to the desired safe limit and to track the amount of infected hepatocytes and virions to their reference value which is zero. One control input is the Pegylated interferon (peg‐IFN‐α) which acts in reducing the infected hepatocytes and the other input is ribavirin which blocks the production of virions. By doing so, the uninfected hepatocytes increase and achieve the required safe limit. Lyapunov stability analysis has been used to prove the stability of the whole system. The comparative analysis of the proposed nonlinear controllers using MATLAB/Simulink have been done with each other and with linear PID. These results depict that the infected hepatocytes and virions are reduced to the desired level, enhancing the rate of sustained virologic response (SVR) and reducing the treatment period as compared with previous strategies introduced in the literature.

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Section: Introductionmentioning

confidence: 99%

Fuzzy logic and Lyapunov‐based non‐linear controllers for HCV infection

Hamza

Ahmad

Uneeb

2021

IET Systems Biology

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“…Motivated by the works mentioned above, we present in this work the method of using fuzzy logic strategy [14] to solve an optimal control problem of an uninfected Hepatitis B virus dynamics. To test its efficacy, we compare the solutions from this strategy with one obtained using direct method.…”

Section: Introductionmentioning

confidence: 99%

“…To test its efficacy, we compare the solutions from this strategy with one obtained using direct method. It could be possible that one can use the same method to solve the similar problem that is related to different type of hepatitis such as A or C [15]. The contribution of this https://dx.doi.org/10.4314/rjeste.v4i1.1 paper comes in the formulation of HBV dynamics and control strategies and solving the resulting optimal problem for Hepatitis B virus.…”

Section: Introductionmentioning

confidence: 99%

Solving an optimal control problem of hepatitis B virus dynamics: Efficacy of fuzzy logic strategy

Gahamanyi¹,

Banzi²,

Ntaganda³

2021

RJESTE

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This work aims at using fuzzy logic strategy to solve a hepatitis B virus (HBV) optimal control problem. To test the efficacy of this numerical method, we compare numerical results with those obtained using direct method. We consider a patient under treatment during 12 months where the two drugs are taken as controls. The results are rather satisfactory. In particular, the reaction of HBV to drugs can be modeled and a feedback can be approximated by the solution of a linear quadratic problem. The drugs reduce the risk of HBV. Furthermore, results of both numerical methods are in good agreement with experimental data and this justifies the efficacy of fuzzy logic strategy in solving optimal control problems.

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“…They determine an optimal treatment programme over a 10 year period taking into account several biomedical and economical objectives. By last, Ntaganda et al [14] analyze the role of drugs, and how they play a crucial role in controlling HCV diseases through a bicompartmental model such that the controls are those drugs.…”

Section: Introductionmentioning

confidence: 99%

Optimal Control Applied to Hepatitis C Therapy Considering Immune System

Peregrino¹,

Esteva²,

Blé³

2018

Jour. Pure Appl. Math. Adv. Appl.

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We present a mathematical model for the dynamics of hepatitis C (HCV). We included in the model treatment with combination therapy of interferon and ribavirin. In order to provide a treatment regimen that minimizes both economic cost and side effects, we propose and solve numerically an optimal control problem considering the cost of treatment and its side effects in the patient. The optimal control is obtained by applying the Pontryagin maximum principle.

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Fuzzy Logic Strategy for Solving an Optimal Control Problem of Therapeutic Hepatitis C Virus Dynamics

Cited by 7 publications

References 26 publications

Fuzzy logic and Lyapunov‐based non‐linear controllers for HCV infection

Fuzzy logic and Lyapunov‐based non‐linear controllers for HCV infection

Solving an optimal control problem of hepatitis B virus dynamics: Efficacy of fuzzy logic strategy

Optimal Control Applied to Hepatitis C Therapy Considering Immune System

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