Three-dimensional model on thermal response of skin subject to laser heating

Wensheng Shen; Jun Zhang; Fuqian Yang

doi:10.1080/10255840500180849

Three-dimensional model on thermal response of skin subject to laser heating

Wensheng Shen
, Jun Zhang
, Fuqian Yang

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

A three-dimensional (3D) multilayer model based on the skin physical structure is developed to investigate the transient thermal response of human skin subject to laser heating. The temperature distribution of the skin is modeled by the bioheat transfer equation, and the influence of laser heating is expressed as a source term where the strength of the source is a product of a Gaussian shaped incident irradiance, an exponentially shaped axial attenuation, and a time function. The water evaporation and diffusion is included in the model by adding two terms regarding the heat loss due to the evaporation and diffusion, where the rate of water evaporation is determined based on the theory of laminar boundary layer. Cryogen spray cooling (CSC) in laser therapy is studied, as well as its effect on the skin thermal response. The time-dependent equation is discretized using the finite difference method with the Crank-Nicholson scheme and the stability of the numerical method is analyzed. The large sparse linear system resulted from discretizing the governing partial differential equation is solved by a GMRES solver and the expected simulation results are obtained.

Original language	English
Pages (from-to)	115-125
Number of pages	11
Journal	Computer Methods in Biomechanics and Biomedical Engineering
Volume	8
Issue number	2
DOIs	https://doi.org/10.1080/10255840500180849
State	Published - 2005

Bibliographical note

Funding Information:
*Corresponding author. E-mail: [email protected]; http://www.cs.uky.edu/,jzhang †This research work was supported in part by NSF under grants CCR-0092532 and ACR-0202934, in part by DOE under grant DE-FG02-02ER45961, and in part by University of Kentucky Faculty Research Support Program. § E-mail: [email protected] k E-mail: [email protected]

Funding

*Corresponding author. E-mail: [email protected]; http://www.cs.uky.edu/,jzhang †This research work was supported in part by NSF under grants CCR-0092532 and ACR-0202934, in part by DOE under grant DE-FG02-02ER45961, and in part by University of Kentucky Faculty Research Support Program. § E-mail: [email protected] k E-mail: [email protected]

Funders	Funder number
National Science Foundation (NSF)	CCR-0092532, ACR-0202934
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory	DE-FG02-02ER45961
University of Kentucky

Keywords

Bioheat and mass transfer
Finite difference
Laser heating
Thermal injury

ASJC Scopus subject areas

Bioengineering
Biomedical Engineering
Human-Computer Interaction
Computer Science Applications

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10.1080/10255840500180849

Cite this

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title = "Three-dimensional model on thermal response of skin subject to laser heating",

abstract = "A three-dimensional (3D) multilayer model based on the skin physical structure is developed to investigate the transient thermal response of human skin subject to laser heating. The temperature distribution of the skin is modeled by the bioheat transfer equation, and the influence of laser heating is expressed as a source term where the strength of the source is a product of a Gaussian shaped incident irradiance, an exponentially shaped axial attenuation, and a time function. The water evaporation and diffusion is included in the model by adding two terms regarding the heat loss due to the evaporation and diffusion, where the rate of water evaporation is determined based on the theory of laminar boundary layer. Cryogen spray cooling (CSC) in laser therapy is studied, as well as its effect on the skin thermal response. The time-dependent equation is discretized using the finite difference method with the Crank-Nicholson scheme and the stability of the numerical method is analyzed. The large sparse linear system resulted from discretizing the governing partial differential equation is solved by a GMRES solver and the expected simulation results are obtained.",

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author = "Wensheng Shen and Jun Zhang and Fuqian Yang",

note = "Funding Information: *Corresponding author. E-mail: [email protected]; http://www.cs.uky.edu/,jzhang †This research work was supported in part by NSF under grants CCR-0092532 and ACR-0202934, in part by DOE under grant DE-FG02-02ER45961, and in part by University of Kentucky Faculty Research Support Program. § E-mail: [email protected] k E-mail: [email protected]",

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AU - Shen, Wensheng

AU - Zhang, Jun

AU - Yang, Fuqian

N1 - Funding Information: *Corresponding author. E-mail: [email protected]; http://www.cs.uky.edu/,jzhang †This research work was supported in part by NSF under grants CCR-0092532 and ACR-0202934, in part by DOE under grant DE-FG02-02ER45961, and in part by University of Kentucky Faculty Research Support Program. § E-mail: [email protected] k E-mail: [email protected]

PY - 2005

Y1 - 2005

N2 - A three-dimensional (3D) multilayer model based on the skin physical structure is developed to investigate the transient thermal response of human skin subject to laser heating. The temperature distribution of the skin is modeled by the bioheat transfer equation, and the influence of laser heating is expressed as a source term where the strength of the source is a product of a Gaussian shaped incident irradiance, an exponentially shaped axial attenuation, and a time function. The water evaporation and diffusion is included in the model by adding two terms regarding the heat loss due to the evaporation and diffusion, where the rate of water evaporation is determined based on the theory of laminar boundary layer. Cryogen spray cooling (CSC) in laser therapy is studied, as well as its effect on the skin thermal response. The time-dependent equation is discretized using the finite difference method with the Crank-Nicholson scheme and the stability of the numerical method is analyzed. The large sparse linear system resulted from discretizing the governing partial differential equation is solved by a GMRES solver and the expected simulation results are obtained.

AB - A three-dimensional (3D) multilayer model based on the skin physical structure is developed to investigate the transient thermal response of human skin subject to laser heating. The temperature distribution of the skin is modeled by the bioheat transfer equation, and the influence of laser heating is expressed as a source term where the strength of the source is a product of a Gaussian shaped incident irradiance, an exponentially shaped axial attenuation, and a time function. The water evaporation and diffusion is included in the model by adding two terms regarding the heat loss due to the evaporation and diffusion, where the rate of water evaporation is determined based on the theory of laminar boundary layer. Cryogen spray cooling (CSC) in laser therapy is studied, as well as its effect on the skin thermal response. The time-dependent equation is discretized using the finite difference method with the Crank-Nicholson scheme and the stability of the numerical method is analyzed. The large sparse linear system resulted from discretizing the governing partial differential equation is solved by a GMRES solver and the expected simulation results are obtained.

KW - Bioheat and mass transfer

KW - Finite difference

KW - Laser heating

KW - Thermal injury

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U2 - 10.1080/10255840500180849

DO - 10.1080/10255840500180849

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JO - Computer Methods in Biomechanics and Biomedical Engineering

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ER -

Three-dimensional model on thermal response of skin subject to laser heating

Abstract

Bibliographical note

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Keywords

ASJC Scopus subject areas

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