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Erschienen in: Lasers in Medical Science 8/2021

05.01.2021 | Original Article

A new mathematical model for accurate quantification of cryogen spray cooling in cutaneous laser surgery using realistic boundary conditions

verfasst von: Wenjuan Wu, Dong Li, Bin Chen, Guoxiang Wang

Erschienen in: Lasers in Medical Science | Ausgabe 8/2021

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Abstract

Laser dermatologic surgery is widely used for various skin diseases. Prior to the laser treatment, transient cryogen spray cooling (CSC) is employed to prevent unwanted thermal damage of skin tissue due to melanin absorption in the epidermis. Accurate quantification on the cooling effect of CSC is essential in the subsequent laser energy dosage prediction. Based on the existing experimental data, we present a new dynamic correlation in terms of non-dimensional heat convection coefficient as a function of the dimensionless time and dimensionless spatial location. The effects of transient spray cooling and the thermal properties of experimental substrate are included in the correlation. The heat transfer within the skin tissue is calculated by a heat conduction equation. Meanwhile, the dynamic correlation of heat convection coefficient is incorporated into the heat conduction equation as a convection boundary condition. Simulation results demonstrate that the correlation correctly reflects several important characteristics of CSC and the model predictions are in consistent with the experimental observations. Numerical results indicate that the CSC time duration should be short enough to maintain selective cooling in epidermis while long enough to avoid the non-uniform spatial cooling on skin surface. A shorter spray distance (for example z = 30 mm) is found to have better cooling effect than a longer spray distance (z = 60 mm). The dynamic correlation in terms of non-dimensional heat convection coefficient proposed in this study can be used in accurate quantification of the effect of CSC. Optimal cooling duration of 75–100 ms and short spray distance of 30 mm are recommended for CSC clinical application.
Literatur
1.
Zurück zum Zitat Tunnell JW, Nelson JS, Torres JH, Anvari B (2000) Epidermal protection with cryogen spray cooling during high fluence pulsed dye laser irradiation: an ex vivo study. Lasers Surg Med 27:373–383CrossRef Tunnell JW, Nelson JS, Torres JH, Anvari B (2000) Epidermal protection with cryogen spray cooling during high fluence pulsed dye laser irradiation: an ex vivo study. Lasers Surg Med 27:373–383CrossRef
2.
Zurück zum Zitat Pikkula BM, Torres JH, Tunnell JW, Anvari B (2001) Cryogen spray cooling: effects of droplet size and spray density on heat removal. Lasers Surg Med 28:103–112CrossRef Pikkula BM, Torres JH, Tunnell JW, Anvari B (2001) Cryogen spray cooling: effects of droplet size and spray density on heat removal. Lasers Surg Med 28:103–112CrossRef
3.
Zurück zum Zitat Verkruysse W, Majaron B, Tanenbaum BS, Nelson JS (2000) Optimal cryogen spray cooling parameters for pulsed laser treatment of port wine stains. Lasers Surg Med 27:165–170CrossRef Verkruysse W, Majaron B, Tanenbaum BS, Nelson JS (2000) Optimal cryogen spray cooling parameters for pulsed laser treatment of port wine stains. Lasers Surg Med 27:165–170CrossRef
4.
Zurück zum Zitat Pikkula BM, Tunnell JW, Chang DW, Avari B (2004) Effects of droplet velocity, diameter, and film height on heat removal during cryogen spray cooling. Ann Biomed Eng 32:1131–1140CrossRef Pikkula BM, Tunnell JW, Chang DW, Avari B (2004) Effects of droplet velocity, diameter, and film height on heat removal during cryogen spray cooling. Ann Biomed Eng 32:1131–1140CrossRef
5.
Zurück zum Zitat Aguilar G, Majaron B, Verkruysse W, Zhou Y, Nelson JS, Lavernia EJ (2001) Theoretical and experimental analysis of droplet diameter, temperature, and evaporation rate evolution in cryogenic sprays. Int J Heat Mass Transf 44:3201–3211CrossRef Aguilar G, Majaron B, Verkruysse W, Zhou Y, Nelson JS, Lavernia EJ (2001) Theoretical and experimental analysis of droplet diameter, temperature, and evaporation rate evolution in cryogenic sprays. Int J Heat Mass Transf 44:3201–3211CrossRef
6.
Zurück zum Zitat Aguilar G, Verkruysse W, Majaron B, Svaasand LO, Lavemia EJ, Nelson JS (2001) Measurement of heat flux and heat transfer coefficient during continuous cryogen spray cooling for laser dermatologic surgery. IEEE J Sel Top Quantum Electron 7(6):1013–1021CrossRef Aguilar G, Verkruysse W, Majaron B, Svaasand LO, Lavemia EJ, Nelson JS (2001) Measurement of heat flux and heat transfer coefficient during continuous cryogen spray cooling for laser dermatologic surgery. IEEE J Sel Top Quantum Electron 7(6):1013–1021CrossRef
7.
Zurück zum Zitat Nelson JS, Milner TE, Anvari B, Tanenbaum BS, Kimel S, Svaasand LO, Jacques SL (1995) Dynamic epidermal cooling during pulsed laser treatment of port-wine stain: a new methodology with preliminary clinical evaluation. Arch Dermatol 131(6):695–700CrossRef Nelson JS, Milner TE, Anvari B, Tanenbaum BS, Kimel S, Svaasand LO, Jacques SL (1995) Dynamic epidermal cooling during pulsed laser treatment of port-wine stain: a new methodology with preliminary clinical evaluation. Arch Dermatol 131(6):695–700CrossRef
8.
Zurück zum Zitat Nelson JS, Majaron B, Kelly KM (2000) Active skin cooling in conjunction with laser dermatologic surgery: methodology and clinical results. Semin Cutan Med Surg 19:253–266CrossRef Nelson JS, Majaron B, Kelly KM (2000) Active skin cooling in conjunction with laser dermatologic surgery: methodology and clinical results. Semin Cutan Med Surg 19:253–266CrossRef
9.
Zurück zum Zitat Nelson JS, Milner TE, Anvari B, Tanenbaum BS, Svaasand LO, Kimel S (1996) Dynamic epidermal cooling in conjunction with laser-induced photothermolysis of port wine stain blood vessels. Lasers Surg Med 19(2):224–229CrossRef Nelson JS, Milner TE, Anvari B, Tanenbaum BS, Svaasand LO, Kimel S (1996) Dynamic epidermal cooling in conjunction with laser-induced photothermolysis of port wine stain blood vessels. Lasers Surg Med 19(2):224–229CrossRef
10.
Zurück zum Zitat Edris A, Choi B, Aguilar G, Nelson JS (2003) Measurements of laser light attenuation following cryogen spray cooling spurt termination. Lasers Surg Med 32:143–147CrossRef Edris A, Choi B, Aguilar G, Nelson JS (2003) Measurements of laser light attenuation following cryogen spray cooling spurt termination. Lasers Surg Med 32:143–147CrossRef
11.
Zurück zum Zitat Choi B, Aguilar G, Vargas G, Welch AJ, Nelson S (2002) Dynamic measurements of laser light attenuation by cryogen film and frost formation. Proc SPIE 4609 Choi B, Aguilar G, Vargas G, Welch AJ, Nelson S (2002) Dynamic measurements of laser light attenuation by cryogen film and frost formation. Proc SPIE 4609
12.
Zurück zum Zitat Aguilar G, Wang G-X, Nelson JS (2003) Effect of spurt duration on the heat transfer dynamics during cryogen spray cooling. Phys Med Biol 48:2169–2181CrossRef Aguilar G, Wang G-X, Nelson JS (2003) Effect of spurt duration on the heat transfer dynamics during cryogen spray cooling. Phys Med Biol 48:2169–2181CrossRef
13.
Zurück zum Zitat Franco W, Liu J, Wang G-X, Nelson JS, Aguilar G (2005) Radial and temporal variations in surface heat transfer during cryogen spray cooling. Phys Med Biol 50:387–397CrossRef Franco W, Liu J, Wang G-X, Nelson JS, Aguilar G (2005) Radial and temporal variations in surface heat transfer during cryogen spray cooling. Phys Med Biol 50:387–397CrossRef
14.
Zurück zum Zitat Franco W, Liu J, Romero-Méndez R, Jia W, Nelson JS, Aguilar G (2007) Extent of lateral epidermal protection afforded by a cryogen spray against laser irradiation. Lasers Surg Med 39:414–421CrossRef Franco W, Liu J, Romero-Méndez R, Jia W, Nelson JS, Aguilar G (2007) Extent of lateral epidermal protection afforded by a cryogen spray against laser irradiation. Lasers Surg Med 39:414–421CrossRef
15.
Zurück zum Zitat Li D, He YL, Liu YW, Wang GX (2007) Numerical analysis of cryogen spray cooling of skin in dermatologic laser surgery using realistic boundary conditions. 22th International Congress Refrigeration conference, BeiJing, China Li D, He YL, Liu YW, Wang GX (2007) Numerical analysis of cryogen spray cooling of skin in dermatologic laser surgery using realistic boundary conditions. 22th International Congress Refrigeration conference, BeiJing, China
16.
Zurück zum Zitat Li D, He YL, Wang GX, Xiao J, Liu YW (2007) Numerical analysis of cold injury of skin in cryogen spray cooling for dermatologic laser surgery. 2007 ASME International Mechanical Engineering Congress, Seattle, Washington Li D, He YL, Wang GX, Xiao J, Liu YW (2007) Numerical analysis of cold injury of skin in cryogen spray cooling for dermatologic laser surgery. 2007 ASME International Mechanical Engineering Congress, Seattle, Washington
17.
Zurück zum Zitat Li D, He YL, Wang GX, Wang YX, Ying ZX (2013) A new model of selective photothermolysis to aid laser treatment of port wine stains. Chin Sci Bull 58:416–426CrossRef Li D, He YL, Wang GX, Wang YX, Ying ZX (2013) A new model of selective photothermolysis to aid laser treatment of port wine stains. Chin Sci Bull 58:416–426CrossRef
18.
Zurück zum Zitat Sun F, Aguilar G, Kelly KM, Wang G-X (2006) Thermal analysis for cryosurgery of nodular basal cell carcinoma, 2006 ASME international mechanical engineering congress and exposition, Chicago, Illinois, USA Sun F, Aguilar G, Kelly KM, Wang G-X (2006) Thermal analysis for cryosurgery of nodular basal cell carcinoma, 2006 ASME international mechanical engineering congress and exposition, Chicago, Illinois, USA
Metadaten
Titel
A new mathematical model for accurate quantification of cryogen spray cooling in cutaneous laser surgery using realistic boundary conditions
verfasst von
Wenjuan Wu
Dong Li
Bin Chen
Guoxiang Wang
Publikationsdatum
05.01.2021
Verlag
Springer London
Erschienen in
Lasers in Medical Science / Ausgabe 8/2021
Print ISSN: 0268-8921
Elektronische ISSN: 1435-604X
DOI
https://doi.org/10.1007/s10103-020-03229-2

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