Analytically solving a three-dimensional （3-D） bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green func...Analytically solving a three-dimensional （3-D） bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green function method are introduced to deal with the cryopreservation process of in vitro biomaterials. Exact solutions for the 3-D temperature transients of tissues under various boundary conditions, such as totally convective cooling, totally fixed temperature cooling and a hybrid between them on tissue surfaces, are obtained. Furthermore, the cryosurgical process in living tissues subject to freezing by a single or multiple cryoprobes is also analytically solved. A closed-form analytical solution to the bioheat phase change process is derived by considering contributions from blood perfusion heat transfer, metabolic heat generation, and heat sink of a cryoprobe. The present method is expected to have significant value for analytically solving complex bioheat transfer problems with phase change.展开更多
本文提出了一种数值求解人体生物热方程时边界条件的处理方法,该方法以生物传热学理论为基础,通过引入“当量皮肤温度”T_(tb),对皮肤层内的生物热方程作了适当修改,并且推导出了采用交替变换方向法(Alternating direction implicit met...本文提出了一种数值求解人体生物热方程时边界条件的处理方法,该方法以生物传热学理论为基础,通过引入“当量皮肤温度”T_(tb),对皮肤层内的生物热方程作了适当修改,并且推导出了采用交替变换方向法(Alternating direction implicit method)求解人体温度场时,边界节点的离散方程。展开更多
An algebraically explicit analytical solution with heat wave effect is derived for the non-Fourier bioheat transfer Chen-Holmes model. Besides its important theoreti-cal meaning (for example, to expand the understandi...An algebraically explicit analytical solution with heat wave effect is derived for the non-Fourier bioheat transfer Chen-Holmes model. Besides its important theoreti-cal meaning (for example, to expand the understanding of heat wave phenomena in living tissues), this analytical solu-tion is also valuable as the benchmark solution to check the numerical calculation and to develop various numerical computational approaches.展开更多
In most previous models,simulation of the temperature generation in tissue is based on the Pennes bio-heat transfer equation,which implies an instantaneous thermal energy deposition in the medium.Due to the long therm...In most previous models,simulation of the temperature generation in tissue is based on the Pennes bio-heat transfer equation,which implies an instantaneous thermal energy deposition in the medium.Due to the long thermal relaxation time τ（20 s-30 s） in biological tissues,the actual temperature elevation during clinical treatments could be different from the value predicted by the Pennes bioheat equation.The thermal wave model of bio-heat transfer（TWMBT） defines a thermal relaxation time to describe the tissue heating from ultrasound exposure.In this paper,COMSOL Multiphysics 3.5a,a finite element method software package,is used to simulate the temperature response in tissues based on Pennes and TWMBT equations.We further discuss different factors in the bio-heat transfer model on the influence of the temperature rising and it is found that the temperature response in tissue under ultrasound exposure is a rising process with a declining rate.The thermal relaxation time inhibits the temperature elevation at the beginning of ultrasonic heating.Besides,thermal relaxation in TWMBT leads to lower temperature estimation than that based on Pennes equation during the same period of time.The blood flow carrying heat dominates most to the decline of temperature rising rate and the influence increases with temperature rising.On the contrary,heat diffusion,which can be described by thermal conductivity,has little effect on the temperature rising.展开更多
Photothermal therapy is emerging as a very promising way for minimally invasive cancer treatment.To enhance thermal energy deposition of laser in target malignant tissues,liquid metal nanoparticles(LMNPs)have been rec...Photothermal therapy is emerging as a very promising way for minimally invasive cancer treatment.To enhance thermal energy deposition of laser in target malignant tissues,liquid metal nanoparticles(LMNPs)have been recently identified as completely unprecedented photothermal sensitizers due to their unique physicochemical properties and superior photothermal conversion rate under near-infrared(NIR)laser irradiation.However,there is currently a strong lack of understanding of the laser energy distribution and the transient temperature field within the biological tissues,which would seriously hinder the development of LMNPs assisted photothermal therapy.Therefore,this paper focused on the distinctive photothermal effect of LMNPs embedded in biological tissues under NIR laser irradiation.The mathematical model coupling the Monte-Carlo photon transport model with Penne's bioheat transfer model has been established.Simulation studies have shown that LMNPs play an important role in enhancing the absorption of NIR laser,which contributes to local temperature rise and improves the temperature distribution.Comparing with the control case without LMNPs,the maximum temperature increases by nearly 1.0 time,the local temperature rise reaches 30℃ in 1.0 second.When the diameter and concentration of LMNPs are 40 nm and 1012/mm3,the resulting temperature variation and distribution is best for the effective killing of tumors without damaging normal tissues.In addition,the simulation results are meaningful for guiding the selection of laser irradiation time in conjunction with the cooling time,ensuring the controllable accuracy of treatment.To the best of our knowledge,the present study is one of the first attempts to quantify the influence of transformable LMNPs on the temperature distributions inside the biological tissues,showing important academic significance for guiding LMNPs assisted photothermal treatment.展开更多
基金Project supported by the National Natural Science Foundation of China (No. 50776097)
文摘Analytically solving a three-dimensional （3-D） bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green function method are introduced to deal with the cryopreservation process of in vitro biomaterials. Exact solutions for the 3-D temperature transients of tissues under various boundary conditions, such as totally convective cooling, totally fixed temperature cooling and a hybrid between them on tissue surfaces, are obtained. Furthermore, the cryosurgical process in living tissues subject to freezing by a single or multiple cryoprobes is also analytically solved. A closed-form analytical solution to the bioheat phase change process is derived by considering contributions from blood perfusion heat transfer, metabolic heat generation, and heat sink of a cryoprobe. The present method is expected to have significant value for analytically solving complex bioheat transfer problems with phase change.
文摘本文提出了一种数值求解人体生物热方程时边界条件的处理方法,该方法以生物传热学理论为基础,通过引入“当量皮肤温度”T_(tb),对皮肤层内的生物热方程作了适当修改,并且推导出了采用交替变换方向法(Alternating direction implicit method)求解人体温度场时,边界节点的离散方程。
基金This work was supported by the National Natural Science Foundation of China(Grant No.50246003 and its succeeding foundation)the Major State Basic Research Development Program of China(Grant No.G20000263).
文摘An algebraically explicit analytical solution with heat wave effect is derived for the non-Fourier bioheat transfer Chen-Holmes model. Besides its important theoreti-cal meaning (for example, to expand the understanding of heat wave phenomena in living tissues), this analytical solu-tion is also valuable as the benchmark solution to check the numerical calculation and to develop various numerical computational approaches.
基金Project supported by the National Basic Research Program of China (Grant Nos. 2011CB707902 and 2012CB921504)the National Natural Science Foundation of China (Grant No. 11274166)the State Key Laboratory of Acoustics,Chinese Academy of Sciences (Grant No. SKLA201207)
文摘In most previous models,simulation of the temperature generation in tissue is based on the Pennes bio-heat transfer equation,which implies an instantaneous thermal energy deposition in the medium.Due to the long thermal relaxation time τ（20 s-30 s） in biological tissues,the actual temperature elevation during clinical treatments could be different from the value predicted by the Pennes bioheat equation.The thermal wave model of bio-heat transfer（TWMBT） defines a thermal relaxation time to describe the tissue heating from ultrasound exposure.In this paper,COMSOL Multiphysics 3.5a,a finite element method software package,is used to simulate the temperature response in tissues based on Pennes and TWMBT equations.We further discuss different factors in the bio-heat transfer model on the influence of the temperature rising and it is found that the temperature response in tissue under ultrasound exposure is a rising process with a declining rate.The thermal relaxation time inhibits the temperature elevation at the beginning of ultrasonic heating.Besides,thermal relaxation in TWMBT leads to lower temperature estimation than that based on Pennes equation during the same period of time.The blood flow carrying heat dominates most to the decline of temperature rising rate and the influence increases with temperature rising.On the contrary,heat diffusion,which can be described by thermal conductivity,has little effect on the temperature rising.
基金the National Key R&D Program of China(No.2018YFC1705106)National Natural Science Foundation of China(No.51890893)。
文摘Photothermal therapy is emerging as a very promising way for minimally invasive cancer treatment.To enhance thermal energy deposition of laser in target malignant tissues,liquid metal nanoparticles(LMNPs)have been recently identified as completely unprecedented photothermal sensitizers due to their unique physicochemical properties and superior photothermal conversion rate under near-infrared(NIR)laser irradiation.However,there is currently a strong lack of understanding of the laser energy distribution and the transient temperature field within the biological tissues,which would seriously hinder the development of LMNPs assisted photothermal therapy.Therefore,this paper focused on the distinctive photothermal effect of LMNPs embedded in biological tissues under NIR laser irradiation.The mathematical model coupling the Monte-Carlo photon transport model with Penne's bioheat transfer model has been established.Simulation studies have shown that LMNPs play an important role in enhancing the absorption of NIR laser,which contributes to local temperature rise and improves the temperature distribution.Comparing with the control case without LMNPs,the maximum temperature increases by nearly 1.0 time,the local temperature rise reaches 30℃ in 1.0 second.When the diameter and concentration of LMNPs are 40 nm and 1012/mm3,the resulting temperature variation and distribution is best for the effective killing of tumors without damaging normal tissues.In addition,the simulation results are meaningful for guiding the selection of laser irradiation time in conjunction with the cooling time,ensuring the controllable accuracy of treatment.To the best of our knowledge,the present study is one of the first attempts to quantify the influence of transformable LMNPs on the temperature distributions inside the biological tissues,showing important academic significance for guiding LMNPs assisted photothermal treatment.
