Optimal efficacy of ribavirin in the treatment of hepatitis C

Chakrabarty, Siddhartha P.

doi:10.1002/oca.894

Cited by 8 publications

(8 citation statements)

References 20 publications

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“…However, the temporal dynamics of the optimal controls * * r n n , 1 illustrated in Figure 3 show that a high efficacy (and therefore more drug doses) is needed only during the first five days of treatment, but afterwards dosis should be decreased. This coincides with the results given in ( [4,15]), which suggest that high doses should be administrated until the patient achieves a notorious progress, after the doses should be reduced in order to avoid excessive economical costs and secondary effects.…”

Section: Numerical Resultssupporting

confidence: 89%

“…The optimal system is solved numerically to determine optimal drugs efficacies. Chakrabarty [4] extended the results in [5] by considering a clinically validated functional form of the interferon efficacy, and hence they determined the optimal efficacy of ribavirin. Martin et al [13] in a recent paper examine a three compartment model for HCV, involving the susceptible, chronically infected and treated injection drug users (IDUs).…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, let the controls associated with the above optimality systems given by (9) and (11), respectively. 1 4 3 max…”

mentioning

confidence: 99%

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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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Section: Numerical Resultssupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

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Optimal Control Applied to Hepatitis C Therapy Considering Immune System

Peregrino¹,

Esteva²,

Blé³

2018

Jour. Pure Appl. Math. Adv. Appl.

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“…Chakrabarty and Josh formulated an optimal function for HCV dynamics in [ 31 ] to decrease the viral load by using peg‐IFN‐ α and ribavirin. By considering clinical trials, an optimal function was proposed to determine the optimal efficiency of the combined peg‐IFN‐ α and ribavirin treatment of HCV [ 32 ]. An optimal treatment programme for HCV was considered spanning over a 10‐year period in [ 33 ] by considering the chronic infected, susceptible and treated injecting drug users.…”

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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“…An objective functional is formulated to minimize the viral load, as well as the drug side-effects and the optimal system is solved numerically to determine optimal efficacies of the drugs. Chakrabarty [20] extended the results in [19] by considering a clinically validated functional form for the interferon efficacy and hence determined the optimal efficacy of ribavirin. Martin et al [21] in a recent paper examine a three compartment model for HCV, involving the susceptible, chronically infected and treated injecting drug users (IDUs).…”

Section: Introductionmentioning

confidence: 99%

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

Ntaganda¹,

Haggar²,

Mampassi³

2015

OJAppS

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This paper aims at the development of an approach integrating the fuzzy logic strategy for a therapeutic hepatitis C virus dynamics optimal control problem. To test the efficiency of this strategy, the authors propose a numerical comparison with the direct method by taking the values of determinant parameters of this disease for people administrating the drugs. The results are in good agreement with experimental data.

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Optimal efficacy of ribavirin in the treatment of hepatitis C

Cited by 8 publications

References 20 publications

Optimal Control Applied to Hepatitis C Therapy Considering Immune System

Optimal Control Applied to Hepatitis C Therapy Considering Immune System

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

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

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