Determination of the thermo-physical properties of multi-layered biological tissues

Alosaimi, M.; Lesnic, D.; Niesen, Jitse

doi:10.1016/j.apm.2021.06.006

Cited by 8 publications

(1 citation statement)

References 34 publications

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“…We investigate the governing hyperbolic partial differential equation (1) subject to appropriate initial and boundary conditions when the unknown perfusion coefficient w b ( x ) is not constant, but it depends on the space variable. Therefore, this generality allows extending previous analyses (Alosaimi et al ., 2020, 2021a, b) by the authors to investigate heterogeneous tissues which are more general/realistic than the homogeneous ones. For simplicity, all the other thermal parameters are assumed to be known and constant, and we shall consider the one-dimensional time-dependent case of equation (1) only although a similar analysis holds also in higher dimensions.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Determination of the space-dependent blood perfusion coefficient in the thermal-wave model of bio-heat transfer

Alosaimi

Lesnic

2023

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PurposeWhen modeling heat propagation in biological bodies, a non-negligible relaxation time (typically between 15-30 s) is required for the thermal waves to accumulate and transfer, i.e. thermal waves propagate at a finite velocity. To accommodate for this feature that is characteristic to heat transfer in biological bodies, the classical Fourier's law has to be modified resulting in the thermal-wave model of bio-heat transfer. The purpose of the paper is to retrieve the space-dependent blood perfusion coefficient in such a thermal-wave model of bio-heat transfer from final time temperature measurements.Design/methodology/approachThe non-linear and ill-posed blood perfusion coefficient identification problem is reformulated as a non-linear minimization problem of a Tikhonov regularization functional subject to lower and upper simple bounds on the unknown coefficient. For the numerical discretization, an unconditionally stable direct solver based on the Crank–Nicolson finite difference scheme is developed. The Tikhonov regularization functional is minimized iteratively by the built-in routine lsqnonlin from the MATLAB optimization toolbox. Both exact and numerically simulated noisy input data are inverted.FindingsThe reconstruction of the unknown blood perfusion coefficient for three benchmark numerical examples is illustrated and discussed to verify the proposed numerical procedure. Moreover, the proposed algorithm is tested on a physical example which consists of identifying the blood perfusion rate of a biological tissue subjected to an external source of laser irradiation. The numerical results demonstrate that accurate and stable solutions are obtained.Originality/valueAlthough previous studies estimated the important thermo-physical blood perfusion coefficient, they neglected the wave-like nature of heat conduction present in biological tissues that are captured by the more accurate thermal-wave model of bio-heat transfer. The originalities of the present paper are to account for such a more accurate thermal-wave bio-heat model and to investigate the possibility of determining its space-dependent blood perfusion coefficient from temperature measurements at the final time.

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Section: Mathematical Formulationmentioning

confidence: 99%

Determination of the space-dependent blood perfusion coefficient in the thermal-wave model of bio-heat transfer

Alosaimi

Lesnic

2023

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Determination of a space-dependent source in the thermal-wave model of bio-heat transfer

Alosaimi

Lesnic

2023

Computers & Mathematics with Applications

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Heat transport across multi-layered skin tissue experiencing short-pulse laser irradiation: Case of temperature-dependent thermal physical parameters

Wang

et al. 2023

International Journal of Heat and Mass Transfer

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Determination of the thermo-physical properties of multi-layered biological tissues

Cited by 8 publications

References 34 publications

Determination of the space-dependent blood perfusion coefficient in the thermal-wave model of bio-heat transfer

Determination of the space-dependent blood perfusion coefficient in the thermal-wave model of bio-heat transfer

Determination of a space-dependent source in the thermal-wave model of bio-heat transfer

Heat transport across multi-layered skin tissue experiencing short-pulse laser irradiation: Case of temperature-dependent thermal physical parameters

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