Temperature control of tissue by transient-induced-microwaves

Dhar, Paritosh Kumar; Sinha, D. K.

doi:10.1080/00207728808964097

Cited by 4 publications

(4 citation statements)

References 6 publications

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“…where |𝐸| is the root mean square magnitude [V/m] of the incident electric field in a point which could be calculated through (15).…”

Section: Electromagnetic Modelmentioning

confidence: 99%

“…One of the advantages of the CGMAE is its insensitivity to initial variables; however, it requires a numerical method for each iteration to determine the temperature fields, which involves computing the gradients of objective function. In the last two decades, CGMAE has been widely used in the solution of the general inverse heat transfer problems (IHTPs) regarding the optimization procedure [14] especially in therapeutic applications [15][16][17]. The most common approach for determining the optimal estimation of the model parameters, functions, or boundary conditions is to minimize an objective function.…”

Section: Introductionmentioning

confidence: 99%

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An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient

Aghayan

Sardari

Mahdavi

et al. 2013

Journal of Applied Mathematics

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A novel scheme to obtain the optimum tissue heating condition during hyperthermia treatment is proposed. To do this, the effect of the controllable overall heat transfer coefficient of the cooling system is investigated. An inverse problem by a conjugated gradient with adjoint equation is used in our model. We apply the finite difference time domain method to numerically solve the tissue temperature distribution using Pennes bioheat transfer equation. In order to provide a quantitative measurement of errors, convergence history of the method and root mean square of errors are also calculated. The effects of heat convection coefficient of water and thermal conductivity of casing layer on the control parameter are also discussed separately.

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“…where |𝐸| is the root mean square magnitude [V/m] of the incident electric field in a point which could be calculated through (15).…”

Section: Electromagnetic Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient

Aghayan

Sardari

Mahdavi

et al. 2013

Journal of Applied Mathematics

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show abstract

“…Butkovosky [4] treated the fundamentals in the theory of optimal control of systems with distributed parameters. Dhar and Sinha [5] investigated analytically a system described by a bio-heat equation of a plane tissue to attain a desired temperature throughout the entire tissue by the induced heat source at the least possible time. A computation technique on the temperature distribution for the fast hyperthermia treatment which minimized a certain function was the problem of investigation in Ref.…”

Section: Introductionmentioning

confidence: 99%

Optimal control for bio-heat equation due to induced microwave

Dhar¹,

Dhar

2010

Appl. Math. Mech.-Engl. Ed.

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A distributed optimal control problem for a system described by a bio-heat equation for a homogeneous plane slab of tissue is analytically investigated. The required tissue temperature at a particular location of the tumour in hyperthermia can be attained within the total operation time of the process due to induced microwave radiation which is taken as control. The tissue temperature against the tissue length at different operation time of the process is considered to attain the desired temperature of the tumor.

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“…To do this, the overall heat transfer coefficient (OHTC) of the cooling system is inversely estimated by means of the conjugated gradient method with adjoint equation (CGMAE). In the last two decades, CGMAE has been extensively used in the resolution of the general inverse heat transfer problems (IHTPs) with respect to the optimization procedure [11] especially in therapeutic applications [12][13][14]. None of the previous studies concerns to the estimation of the cooling system properties with CGM and its experimental validation.…”

Section: Introductionmentioning

confidence: 99%

Estimation of overall heat transfer coefficient of cooling system in RF capacitive hyperthermia

Aghayan¹,

Sardari²,

Mahdavi³

et al. 2013

JBiSE

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The study presented in this article involves the estimation of the overall heat transfer coefficient of cooling system in RF capacitive hyperthermia treatment using inverse problem based on the conjugate gradient method to provide improved distribution of temperature. The temperature data computed numerically from the direct problem using the finite difference time domain method are used to simulate the temperature measurements. The effects of the errors and sensor positions upon the precision of the estimated results are also considered. The results show that a reasonable estimation of the unknown can be obtained. Finally, measurements in a tissue-equivalent phantom are employed to appraise the reliability of the presented method. The comparison of computed data with measurements shows a good agreement between numerical and experimental results.

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Temperature control of tissue by transient-induced-microwaves

Cited by 4 publications

References 6 publications

An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient

An Inverse Problem of Temperature Optimization in Hyperthermia by Controlling the Overall Heat Transfer Coefficient

Optimal control for bio-heat equation due to induced microwave

Estimation of overall heat transfer coefficient of cooling system in RF capacitive hyperthermia

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