Numerical simulation of fractional non-Fourier heat conduction in skin tissue

Goudarzi, Piran; Azimi, Aziz

doi:10.1016/j.jtherbio.2019.05.021

Cited by 24 publications

(14 citation statements)

References 21 publications

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“…This study proposes a two−dimensional diffusion model and compares it with experimental results. On the basis of the multicomponent transport diffusion model that was developed [ 45 , 46 ], we studied the correlation between the penetrations of different carriers through the skin to describe the effects of penetrating modifications. Due to the properties of the diffusion equation solution, both the skin and administration matrix are assumed to be homogeneous isotropic materials, in fact, the skin is composed of the stratum corneum, the epidermal layer and the dermis layer.…”

Section: Discussionmentioning

confidence: 99%

Pharmacokinetic Study of Triptolide Nanocarrier in Transdermal Drug Delivery System—Combination of Experiment and Mathematical Modeling

et al. 2023

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Compared with traditional oral and injection administration, the transdermal administration of traditional Chinese medicine has distinctive characteristics and advantages, which can avoid the “first pass effect” of the liver and the destruction of the gastrointestinal tract, maintain a stable blood concentration, and prolong drug action time. However, the basic theory and technology research in transdermal drug delivery are relatively limited at present, especially regarding research on new carriers of transdermal drug delivery and pharmacokinetic studies of the skin, which has become a bottleneck of transdermal drug delivery development. Triptolide is one of the main active components of Tripterygium wilfordii, which displays activities against mouse models of polycystic kidney disease and pancreatic cancer but its physical properties and severe toxicity limit its therapeutic potential. Due to the previously mentioned advantages of transdermal administration, in this study, we performed a detail analysis of the pharmacokinetics of a new transdermal triptolide delivery system. Triptolide nanoemulsion gels were prepared and served as new delivery systems, and the ex vivo characteristics were described. The metabolic characteristics of the different triptolide transdermal drug delivery formulations were investigated via skin–blood synchronous microdialysis combined with LC/MS. A multiscale modeling framework, molecular dynamics and finite element modeling were adopted to simulate the transport process of triptolide in the skin and to explore the pharmacokinetics and mathematical patterns. This study shows that the three−layer model can be used for transdermal drug delivery system drug diffusion research. Therefore, it is profitable for transdermal drug delivery system design and the optimization of the dosage form. Based on the drug concentration of the in vivo microdialysis measurement technology, the diffusion coefficient of drugs in the skin can be more accurately measured, and the numerical results can be verified. Therefore, the microdialysis technique combined with mathematical modeling provides a very good platform for the further study of transdermal delivery systems. This research will provide a new technology and method for the study of the pharmacokinetics of traditional Chinese medicine transdermal drug delivery. It has important theoretical and practical significance in clarifying the metabolic transformation of percutaneous drug absorption and screening for appropriate drugs and dosage forms of transdermal drug delivery.

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Section: Discussionmentioning

confidence: 99%

Pharmacokinetic Study of Triptolide Nanocarrier in Transdermal Drug Delivery System—Combination of Experiment and Mathematical Modeling

et al. 2023

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“…TW1 represents the warmer surface (skin surface), TW2 the colder surface (skin base = copper plate), A the surface (surface of the heat sensor), λ the thermal conductivity (temperature-dependent characteristic of material) and d for the thickness of the body (skin thickness). 38,39 The heat transport is also described by the concept of heat flux density (q). 40 Since these laws apply only to media having a homogenic composition, it cannot be applied in the present case.…”

Section: Discussionmentioning

confidence: 99%

Efficiency of cutaneous heat diffusion after local hyperthermia for the treatment of itch

Wohlrab

Mentel²,

Eichner

2023

Skin Research and Technology

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Background Today, itching is understood as an independent sensory perception, which is based on a complex etiology of a disturbed neuronal activity and leads to clinical symptoms. The primary afferents (pruriceptors) have functional overlaps with afferents of thermoregulation (thermoceptors). Thus, an antipruritic effect can be caused by antagonizing heat‐sensitive receptors of the skin. The ion channel TRP‐subfamily V member 1 (TRPV1) is of particular importance in this context. Repeated heat application can induce irreversible inactivation by unfolding of the protein, causing a persistent functional deficit and thus clinically and therapeutically reducing itch sensation. Material and methods To demonstrate relevant heat diffusion after local application of heat (45°C to 52°C for 3 and 5 seconds) by a technical medical device, the temperature profile for the relevant skin layer was recorded synchronously on ex vivo human skin using an infrared microscope. Results The results showed that the necessary activation temperature for TRPV1 of (≥43°C) in the upper relevant skin layers was safely reached after 3 and 5 seconds of application time. There were no indications of undesirable thermal effects. Conclusion The test results show that the objectified performance of the investigated medical device can be expected to provide the necessary temperature input for the activation of heat‐sensitive receptors in the skin. Clinical studies are necessary to prove therapeutic efficacy in the indication pruritus.

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“…With the fractional Fourier model, Jiang and Xu (2010), Yu and Jiang (2019), Warbhe et al (2018), Lizama and Trujillo (2020), Fu et al (2021), Shen et al (2020), Mozafarifard and Toghraie (2020), Žecová and Terpák (2015) investigated the anomalous heat conduction in biological tissues or thin metal films with different heat source. Based on the fractional CV (or single-phase-lag) model, Xu and Wang (2018), Qi et al (2013), Li et al (2019b), Mozafarifard et al (2020, 2021), Li et al (2020) and Goudarzi and Azimi (2019) studied the heat transfer characteristics in a solid structure or tissue under the laser pulse heating. Under the framework of the fractional DPL heat conduction theory, Qiao et al (2021), Wang et al (2020), Kumar et al (2020) analyzed the thermal behavior in living biological tissues during thermal therapy.…”

Section: Introductionmentioning

confidence: 99%

“…However, by summarizing the literature above, it is found that most all studies are limited to specific Caputo fractional Fourier (Fu et al , 2021; Jiang and Xu, 2010; Lizama and Trujillo, 2020; Mozafarifard and Toghraie, 2020; Shen et al , 2020; Warbhe et al , 2018; Yu and Jiang, 2019; Žecová and Terpák, 2015), CV (Goudarzi and Azimi, 2019; Li et al , 2020; Li et al , 2019b; Mozafarifard et al , 2020; Mozafarifard et al , 2021; Qi et al , 2013; Xu and Wang, 2018), DPL (Kumar et al , 2020; Qiao et al , 2021; Li et al , 2021; Wang et al , 2020) and GN (Aldawody et al , 2019; Ezzat and El-Bary, 2018) heat transfer models, there is a lack of a unified fractional heat transfer model to generalize these models. In addition, almost all of the analytical solutions focus on the one-dimensional (1D) fraction heat transfer problem.…”

Section: Introductionmentioning

confidence: 99%

A symplectic approach for the fractional heat transfer and thermal damage in 2D biological tissues

Leng

et al. 2023

HFF

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Purpose This paper aims to focus on the accurate analysis of the fractional heat transfer in a two-dimensional (2D) rectangular monolayer tissue with three different kinds of lateral boundary conditions and the quantitative evaluation of the degree of thermal damage and burn depth. Design/methodology/approach A symplectic method is used to analytically solve the fractional heat transfer dual equation in the frequency domain (s-domain). Explicit expressions of the dual vector can be constructed by superposing the symplectic eigensolutions. The solution procedure is rigorously rational without any trial functions. And the accurate predictions of temperature and heat flux in the time domain (t-domain) are derived through numerical inverse Laplace transform. Findings Comparison study shows that the maximum relative error is less than 0.16%, which verifies the accuracy and effectiveness of the proposed method. The results indicate that the model and heat source parameters have a significant effect on temperature and thermal damage. The pulse duration (Δt) of the laser heat source can effectively control the time to reach the peak temperature and the peak slope of the thermal damage curve. The burn depth is closely correlated with exposure temperature and duration. And there exists the delayed effect of fractional order on burn depth. Originality/value A symplectic approach is presented for the thermal analysis of 2D fractional heat transfer. A unified time-fractional heat transfer model is proposed to describe the anomalous thermal behavior of biological tissue. New findings might provide guidance for temperature prediction and thermal damage assessment of biological tissues during hyperthermia.

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Numerical simulation of fractional non-Fourier heat conduction in skin tissue

Cited by 24 publications

References 21 publications

Pharmacokinetic Study of Triptolide Nanocarrier in Transdermal Drug Delivery System—Combination of Experiment and Mathematical Modeling

Pharmacokinetic Study of Triptolide Nanocarrier in Transdermal Drug Delivery System—Combination of Experiment and Mathematical Modeling

Efficiency of cutaneous heat diffusion after local hyperthermia for the treatment of itch

A symplectic approach for the fractional heat transfer and thermal damage in 2D biological tissues

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