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 6 publications

(3 citation statements)

References 53 publications

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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%

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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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Near‐Infrared Nanoparticle‐Mediated Photothermal Cancer Therapy: A Comprehensive Review of Advances in Monitoring and Controlling Thermal Effects for Effective Cancer Treatment

Oudjedi,

Kirk

2024

Nano Select

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Photothermal therapy (PTT) has emerged as a promising alternative to conventional cancer treatments such as radiation therapy, chemotherapy, and surgery. PTT uses light‐absorbing nanomaterials to induce localized hyperthermia and selectively eliminate cancer cells, thus offering advantages over traditional interventions. This literature review focuses on nanoparticles for PTT, their heating properties, and their functions in theragnostic applications for photothermal cancer treatment. It highlights the fundamental principles, recent spectroscopic developments for diagnosis and treatment monitoring, clinical advancements in near‐infrared (NIR) nanoparticle‐mediated PTT, and emerging numerical methods for preclinical planning of PTT.

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A review of the evidence for threshold of burn injury

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2017

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

Cited by 6 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

Near‐Infrared Nanoparticle‐Mediated Photothermal Cancer Therapy: A Comprehensive Review of Advances in Monitoring and Controlling Thermal Effects for Effective Cancer Treatment

A review of the evidence for threshold of burn injury

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