Theoretical analysis of coupled thermal and denaturation processes in living tissues subject to a uniform surface heating condition

Sánchez, Sebastián; Bautista, O.; Méndez, F.

doi:10.1016/j.ijheatmasstransfer.2015.07.031

Cited by 5 publications

(3 citation statements)

References 53 publications

(114 reference statements)

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“…However, the currents and electric potentials are independent of the time because the characteristic time scales for the electric phenomenon are very small in comparison with thermal scales. It should be noted that this dependence also prevails for the initial and boundary conditions, which are given below for equations ( 6)- (12). We must emphasize that we perform previously a simple order of magnitude analysis for equations (1) and (3), proving that the characteristic times associated with the accumulation of the electric charge density in each medium are given by the relationships t ce g ∼ ϵ g /σ g and t ce sc ∼ ϵ sc /σ sc , for the gel and the stratum corneum, respectively.…”

Section: Formulation and Governing Equationsmentioning

confidence: 93%

“…It should be appreciated that boundary conditions given by equations ( 11) and ( 12) represent different physical conditions. While equation ( 11) denotes a symmetry condition for both electric fields, equation ( 12) defines a finite value of the electric field, at x = L. Furthermore, it is really important to mention that the symmetry condition is derived from the fact that for x =−L, we admit the same boundary condition given by equation (12). Therefore, the complete domain of interest for the spatial coordinate x, which initially is given by the interval…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…Recently, the effects of temperature fields associated with the treatment of cancerous tumors in the different layers of the skin have also been studied. These thermal effects have been visualized by using laser techniques, conduction energy flux, and electric field [12][13][14][15][16][17]. In some of them, for simplicity, the application of the previous procedures was studied by considering only steady-state conditions [13].…”

Section: Introductionmentioning

confidence: 99%

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Heating and cooling stages using a doubly conjugate thermal and electric asymptotic analysis between a gel and the stratum corneum

Ramos

Lizardi

Méndez

2020

J. Phys. D: Appl. Phys.

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We study by using perturbation techniques, a conjugate formulation for the heating and cooling stages related with the skin electroporation phenomenon. The fundamental idea is very simple: to analyze simultaneously the thermal and electric effects in a thin layer of gel in contact with the stratum corneum, a situation that results of the application of a uniform electric pulse in the external surface of the gel with very short duration to avoid a temperature rise induced by the Joule heating effect, which can cause irreversible tissue damage. After the application of this short time, needed to characterize the first heating stage, enters in operation a second stage where both layers are cooled because the external electric field is interrupted and the external convective ambient is sufficient to cause it.We have used perturbation techniques to solve the governing equations, identifying a dimensionless parameter denoted by γ that measures the ratio of the electrical conductivities of the two media affected by the pulse. This parameter has a direct influence on the process. Due to that the electrical conductivity of the stratum corneum is very small, γ can assume finite or usually very large values compared with unity and the theoretical predictions show the relevance that this parameter has on the increment of the temperature in both media. Therefore, we consider that this parameter guides the performance of this class of medical treatments based on electric signals and can serve to delimit under transient conditions up to where the thermal effects control the skin electroporation.We demonstrate that to achieve thermodynamic equilibrium, the cooling stage must have a much longer duration than the heating stage, in such a way that it prevents the accumulation of thermal energy in the stratum corneum and thereby prevents the formation of possible damage to the skin.

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Section: Formulation and Governing Equationsmentioning

confidence: 93%

Section: Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Heating and cooling stages using a doubly conjugate thermal and electric asymptotic analysis between a gel and the stratum corneum

Ramos

Lizardi

Méndez

2020

J. Phys. D: Appl. Phys.

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A review of the evidence for threshold of burn injury

Martin

Falder

2017

Burns

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Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

Orndorff

Ponomarev

Dai

et al. 2017

International Journal of Heat and Mass Transfer

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a b s t r a c tObtaining accurate temperature distributions in living tissue related to hyperthermia skin cancer treatment without using an intruding sensor is a challenge. Here, we report a mathematical model that can accurately determine the temperature distribution in the tumor region and surrounding normal tissue. The model is based on a modified Pennes' equation for the bioheat transfer in a 3-D triple-layered skin structure embedded with a vascular countercurrent network and a tumor appearing in the subcutaneous region. The vascular network is designed based on the constructal theory of multi-scale tree-shaped heat exchangers. The tumor is injected with gold nanoshells in order to be heated quickly. The proposed model is implemented numerically using a stable finite difference scheme. The method is demonstrated and tested by an example.

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Theoretical analysis of coupled thermal and denaturation processes in living tissues subject to a uniform surface heating condition

Cited by 5 publications

References 53 publications

Heating and cooling stages using a doubly conjugate thermal and electric asymptotic analysis between a gel and the stratum corneum

Heating and cooling stages using a doubly conjugate thermal and electric asymptotic analysis between a gel and the stratum corneum

A review of the evidence for threshold of burn injury

Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

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