Numerical modeling of heat transfer in a single blood vessel and surrounding biological tissue

• Autorzy: Majchrzak E. , Tarasek D.
• Języki publikacji: EN

Abstrakty

EN

The thermal interactions between the single blood vessel and surrounding biological tissue are analyzed. The temperature in the tissue is described by the Pennes equation, while the equation determining the change of blood temperature along the blood vessel is formulated on the basis of adequate energy balance. These equations are coupled by boundary condition given at the blood vessel wall. There are two models considered here in terms of blood vessel types. First is the supplying vessel model and the other one is traversing vessel model. Both are distinguished in the computations. The solution of the problem has been provided by means of finite difference method.

Słowa kluczowe

EN

numerical modelling; heat transfer; blood vessel; biological tissue

PL

modelowanie numeryczne; wymiana ciepła; naczynie krwionośne; tkanka biologiczna

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 145--152
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Majchrzak E.

autor

Tarasek D.

• Silesian University of Technology, Gliwice, Poland,

Bibliografia

• [1] Chato J., Heat transfer to blood vessels, Journal of Biomechanical Engineering 1980, 5, 102, 110-118.
• [2] Huang H.W., Chan C.L., Roemer R.B., Analytical solutions of Pennes bio-heat transfer equation with a blood vessel, Journal of Biomechanical Engineering 1994, 116, 208-212.
• [3] Shivastava D., Roemer R.B., Readressing the issue of thermally significant blood vessels using a countercurrent vessel network, Journal of Biomechanical Engineering 2006, 128, 210-216.
• [4] Majchrzak E., Mochnacki B., Numerical model of heat transfer between blood vessel and biological tissue, Computer Assisted Mechanics and Engineering Sciences 1999, 6, 439-447.
• [5] Majchrzak E., Mochnacki B., Analysis of bio-heat transfer in the system of blood vesselbiological tissue, Kluwer Academic Publishers 2001, 201-211.