Fuzzy, synergetic and non-linear state feedback control of chemotherapy drug for a cancerous tumor

Qaiser, Hafsah; Ahmad, Iftikhar; Kashif, Muhammad

doi:10.1016/j.bspc.2020.102061

Cited by 13 publications

(8 citation statements)

References 24 publications

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“…For the treatment of leukemia, Islam et al[ 28 ] designed an adaptive terminal and supertorsional sliding mode controller, and verified the stability of the system using Lyapunov’s stability theory. For a nonlinear four-state ODE malignant tumor model, Qaiser et al[ 29 ] designed a fuzzy controller and two kinds of nonlinear controllers: synergetic and state feedback controllers for chemotherapeutic drug control. An extended feedback controller was introduced into the ecological epidemiological model in[ 30 ], Wang et al confirmed that changing the feedback control time delay could affect the stability of the model, thus effectively restrained the occurrence of bifurcation.…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation control analysis of a delayed fractional-order eco-epidemiological system

Zhao

2022

Eur. Phys. J. Plus

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Considering the factor of artificial intervention in biological control, a delayed fractional eco-epidemiological system with an extended feedback controller is proposed. By using the digestion delay as bifurcation parameter, the stability and Hopf bifurcation are investigated, and the branching conditions are given. The system undergoes Hopf bifurcation, when the parameter passes through the critical value. In addition, it can be pointed out that the negative feedback gain and the feedback delay could affect the bifurcation critical value of the system. Therefore, the Hopf bifurcation can also be induced by taking the feedback delay as a bifurcation parameter. Finally, by plotting the solution curve of the system, the significance of the controller to the stability of the eco-epidemiological system is verified.

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Section: Introductionmentioning

confidence: 99%

Stability and bifurcation control analysis of a delayed fractional-order eco-epidemiological system

Zhao

2022

Eur. Phys. J. Plus

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“…Note the auxiliary input in time-delayed form can be obtained from (24) as v(t − γ) = σ(t − γ) − ξ(t − γ). Replacing the expression of v(t−γ) in the last term of the above expression, equation ( 28) is achieved as…”

Section: Stability Analysismentioning

confidence: 99%

“…Various robust control techniques are also investigated for cancer treatment procedures, namely, adaptive control [21], sliding mode control (SMC) [22], fractional order control [23], fuzzy control [24], extended Kalman filter [25], etc. In [26], an adaptive and robust control technique is developed that can effectively modify drug delivery schedules, with the potential to reduce tumor growth.…”

Section: Introductionmentioning

confidence: 99%

Robust Control for Cancer Chemotherapy Through Time Delayed Estimation Philosophy

Sarkar,

Saidani,

Almuqren

et al. 2024

IEEE Access

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Chemotherapy, a vital cancer treatment, operates by delivering drugs to target and eliminate cancer cells in the patient body. Mathematical models like the log-kill, Norton-Simon, and E max hypotheses describe the growth/shrinking of the cancerous tumor due to the interaction and administration of the drugs with the tumor. This paper proposes a robust control approach based on artificial time-delayed theory to track the desired rate of change in tumor volume under model uncertainties and disturbances. The proposed algorithm relaxes the assumption on a priori knowledge of disturbance bound and its derivative. Unlike traditional methods, the control structure is simple, and the total disturbance is estimated by analyzing the previous input and output of the feedback state and control variables. Thus, robustness is ensured without relying on high-frequency switching or high gain. The stability analysis of the proposed scheme is investigated based on the Lyapunov theory. Moreover, extensive simulation results with comparative analysis affirm the efficacy of the proposed approach.

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“…The controller, which is based on invasive weed optimization algorithm and intuitionistic fuzzy sets, provides several advantages, including adaptive and optimally–tuned design parameters for the controller to obtain desired drug concentration at the tumor site, satisfaction of drug delivery constraints to ensure the clinical safety of patients, and robustness to handle all possible physiological conditions during the treatment. Qaiser et al 26 compared the performance of fuzzy control, synergetic control, and state feedback control in cancer treatment using chemotherapy. Their mathematical model considers tumor cells, immune cells, and healthy cells under the chemotherapy drug intervention.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy control of drug delivery in cancer treatment using combination of chemotherapy and antiangiogenic therapy

Ghasemabad

Mirhadi

Zarandi

et al. 2023

Proc Inst Mech Eng H

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This paper introduces the adaptive fuzzy control scheme as a promising control technique for cancer treatment from a theoretical point of view. A mathematical model describing the dynamics of tumor growth under the drug interventions of chemotherapy and antiangiogenic therapy is considered. The model incorporates the effects of normal cells, cancer cells, and endothelial cells. Then, the control goals in cancer treatment are discussed and the desired trajectory for a typical patient is derived using the optimal control theory. Since the dynamic model of tumor growth is not accurate and also varies from patient to patient, an adaptive fuzzy controller is designed to make the outputs of the dynamic model track the desired trajectory. The proposed control system is model–independent and identifies the dynamic model of tumor growth over time. The performance of the designed controller is assessed by several numerical simulations. Finally, a hardware–in–the–loop simulation is conducted to validate the results.

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Fuzzy, synergetic and non-linear state feedback control of chemotherapy drug for a cancerous tumor

Cited by 13 publications

References 24 publications

Stability and bifurcation control analysis of a delayed fractional-order eco-epidemiological system

Stability and bifurcation control analysis of a delayed fractional-order eco-epidemiological system

Robust Control for Cancer Chemotherapy Through Time Delayed Estimation Philosophy

Adaptive fuzzy control of drug delivery in cancer treatment using combination of chemotherapy and antiangiogenic therapy

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