Estimation of temperature elevation generated by ultrasonic irradiation in biological tissues using the thermal wave method

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.     

超声波在液体中的传播速度与温度的关系

根据超声光栅的原理,在分光计上测出了超声波在不同温度下的纯净水中的传播速度.通过最小二乘法进行数据拟合,得到了传播速度与温度的近似公式.     

The spin wave excitations and the temperature dependence of the magnetization in iron,cobalt, nickel and their alloys

A critical review is given on the literature concerning spin waves in the ferromagnetic transition metals and their alloys. It is shown that spin waves can account for the low temperature behaviour of the magnetization in metallic glasses as well as in nickel(-alloys). A systematic correlation between Curie-temperature and spin wave stiffness is worked out, holding for crystalline and amorphous alloys of iron, cobalt and nickel. The reduced magnetization versus temperature curves of (amorphous) alloys are interpreted without referring to disorder effects.     

Brillouin and ultrasonic study of the temperature dependence of the elastic constants in NaCN

The temperature dependence of the elastic constants of NaCN has been studied by propagation of ultrasonic waves at 15 MHz and by Brillouin scattering at 3 GHz over the temperature range from 287K to 355K. c₄₄ is observed to soften linearly with temperature as the order-disorder phase transition at 284K is approached from above. The other elastic constants also soften, except for c₁₂ which stiffens. Considerable dispersion is seen in the values of c₄₄ obtained ultrasonically and by Brillouin scattering. Measurements of the temperature dependence of the density are also reported.     

Anisotropy of the ultrasonic attenuation in soft tissues: measurements in vitro

This study was designed to measure the ultrasonic attenuation within phantoms and tissue samples over a broad bandwidth and at many angles of incidence with respect to intrinsic orientations in order to elucidate both the frequency and angular dependence of the attenuation coefficient. Significant angular dependence, or anisotropy, of the attenuation was observed in canine myocardium (maximum to minimum ratio: 2.2 to 1) and a tissue mimicking phantom of oriented graphite fibers in gelatin (max to min: 2 to 1). In control studies, insignificant anisotropy was observed in the attenuation in canine liver samples and phantoms with graphite powder suspended in gelatin. Comparisons of the magnitude of variations of the oriented-fiber phantom to that predicted by a viscous relative motion model are presented.     

Two photoplastic effects and their temperature dependence in alkali halides

The characteristic critical temperatures for the sign of the photoplastic effect (PPE) in KCl and KBr, using also photoconductivity measurements, were determined to be 110 K and 190 K, respectively. Negative PPE is explained in terms of elastic interaction between a moving dislocation and the relaxed excited state of the F-center.     

Shear and compressional wave speeds in Hertzian granular media

It is shown that the shear wave speed in a granular medium is less than that in an elastic solid of the same shear modulus-to-density ratio. Shear and compressional wave speeds are derived for granular media using a conservation of energy approach. The grains are assumed to be spherical with elastic Hertzian contacts of constant stiffness. The affine approximation is used to determine the relative displacements of grain centers, and it is also assumed that the grains are small compared to a wavelength, consistent with the effective medium approximation. Potential and kinetic energies associated with linear motion are the same as those in an elastic solid, but it is found that shear wave propagation in a granular medium involves additional energies associated with grain rotation. The partition of energies results in a reduction in the shear wave speed, relative to an elastic solid of the same shear modulus-to-density ratio. It is shown that the reduction is an inherent property of granular media, independent of any departure from the affine approximation or fluctuations in coordination number or contact stiffness. The predicted wave speed ratios are consistent with published measurements.     

快速制取人体组织病理切片的超声波法

本文介绍了用超声波方法快速制妈人体组织病理切片的基本原理，实验步骤和试验结果。结果表明，用超声波处理后快速制取的病理切片完全怀可常规石蜡切片相媲美，在临床外检快速病理诊断应用上，超声处理仪有可能取代价格昂贵的恒温式冷冻切片机。     

Correlations between ultrasonic guided wave velocities and bone properties in bovine tibia in vitro

Correlations between ultrasonic guided wave velocities and bone properties were investigated in bovine tibia in vitro. The velocities of the first arriving signal and the slow guided wave, termed V(FAS) and V(SGW), along the long axis of the tibia were measured at 200 kHz in 20 bovine tibiae using the axial transmission technique. V(FAS) yielded significant negative correlation coefficients of -0.54 to -0.66 with the bone properties. In contrast, V(SGW) yielded strong positive correlation coefficients of 0.68-0.84. The best univariate predictor of V(FAS) and V(SGW) was the cortical thickness yielding adjusted squared correlation coefficients of 0.41 and 0.69, respectively.     

海底沉积物压缩波速度与切变波速度的关系

基于连续介质假设,根据无吸收各向同性弹性介质通用方程分析沉积物声波传播关系,提出应用弹性结构分布因子表达的声速通用模型(GMSS,General Model of Sound Speed)分析海底沉积物的声速特性;通过研究Willey时间平均模型、Wood方程、Gassmann方程、Buckingham模型、Biot-Stoll模型和EDFM模型,可以表述成GMSS通用模型中的弹性结构分布因子的具体表达形式,得出GMSS通用模型在解释压缩波速度和切变波速度特性上具有一致性的特点。GMSS通用模型具有弹性结构分布因子、孔隙度、孔隙海水的等效密度和等效弹性模量、固相颗粒的等效密度、固相颗粒的等效体积弹性模量和等效切变弹性模量共7个参数,为研究海底沉积物压缩波和切变波速度提供了一种模型简单、参数少、通用性强的方法。但也需要从物理结构上以及应力应变关系上开展更为深入的分析和探寻GMSS模型的物理意义和参数测量的方法。     

The temperature dependence of the elastic constants for highly oriented pyrolytic graphite determined by ultrasonic techniques

Sound velocities along the c-axis of highly oriented pyrolytic graphite between 4 and 325 K were measured with an ultrasonic pulse-echo phase-comparison method. The echo delay times were determined with an accuracy of 0.05 and 0.15%, respectively, for the longitudinal and transverse modes. The temperature dependence of the c-axis elastic constants C₃₃ and C₄₄ was deduced with the correction of thermal expansion. C₃₃ was found to decrease by 5.8% from 4 to 300 K and can be interpreted by a model based on the simple Lennard-Jones interlayer interaction. C₄₄ and its temperature variation are found to be strongly sample dependent.     

A comparison of ultrasonic cavitation intensity in liquids

Cavitation intensity in 37 organic liquids is compared with cavitation intensity in water under the same conditions. Temperature ranges are established over which cavitation intensities in these liquids are at their highest.     

Temperature dependence of acoustic impedance for specific fluorocarbon liquids

Recent studies by our group have demonstrated the efficacy of perfluorocarbon liquid nanoparticles for enhancing the reflectivity of tissuelike surfaces to which they are bound. The magnitude of this enhancement depends in large part on the difference in impedances of the perfluorocarbon, the bound substrate, and the propagating medium. The impedance varies directly with temperature because both the speed of sound and the mass density of perfluorocarbon liquids are highly temperature dependent. However, there are relatively little data in the literature pertaining to the temperature dependence of the acoustic impedance of these compounds. In this study, the speed of sound and density of seven different fluorocarbon liquids were measured at specific temperatures between 20 degrees C and 45 degrees C. All of the samples demonstrated negative, linear dependencies on temperature for both speed of sound and density and, consequently, for the acoustic impedance. The slope of sound speed was greatest for perfluorohexane (-278 +/- 1.5 cm/s-degrees C) and lowest for perfluorodichlorooctane (-222 +/- 0.9 cm/s-degrees C). Of the compounds measured, perfluorohexane exhibited the lowest acoustic impedance at all temperatures, and perfluorodecalin the highest at all temperatures. Computations from a simple transmission-line model used to predict reflectivity enhancement from surface-bound nanoparticles are discussed in light of these results.     

The photoelastic visualization of ultrasonic waves in liquids

A technique is presented for the optical display of three-dimensional ultrasonic fields, involving the visualization of thin sections of the field within a layer of suitable photoelastic solid, such as polyurethane rubber. A valid display is produced with a negligible disturbance to the ultrasonic field. The technique has a low sensitivity, but has been successfully applied to the visualization of 200 kHz, continuous-wave fields in water.     

One dimensional modeling of a step-down ultrasonic densitometer for liquids

This article studies the possibilities and limitations of modeling a step-down ultrasonic densitometer using its electrical analogous representation. The purpose of the model is to simulate the system in order to optimize its performance. The advantage of an analogous electrical is the complete simulation of both the electrical and mechanical parts of the system. The ultrasonic densitometer and the need for the step down are presented. The analogy to the electrical representation is briefly introduced along with the step down notion. Experimental results of probes equipped with piezoceramic disk of 10 and 16 mm in diameter are shown to consider diffraction. Simulated signals from modeled probes are judged against the real signals. The limitations of the simulations are discussed. They are beam spreading, reference echo to different media and superfluous multiple reflections.     

Temperature and pressure dependence of self diffusion in nonassociating liquids

Recent results of self diffusion studies on a series of halomethanes and alkanes at elevated pressure are reviewed. The data are evaluated with the rough hard sphere model and the interacting sphere model. The parameters obtained from both treatments are critically discussed. The least-squares fits are of very good quality except for the highly unsymmetric alkanes with carbon numbers between 4 to 7. For these liquids, significant and systematic deviations are ascribed to the strong departure from spherical symmetry of the molecules.     

Frequency and power dependence of ultrasonic degassing

We investigated the time variation of ultrasonic degassing for air-saturated water and degassed water with a sample volume of 100 mL at frequencies of 22, 43, 129, 209, 305, 400, 514, 1018, and 1960 kHz and ultrasonic power of 15 W. Ultrasonic degassing was evaluated by dissolved oxygen concentration. Ultrasonic degassing was also investigated at a frequency of 1018 kHz and ultrasonic powers of 5, 10, 15, and 20 W. The dissolved oxygen concentration varied with the ultrasonic irradiation time and became constant after prolonged ultrasonic irradiation. The constant dissolved oxygen concentration value depended on the frequency and ultrasonic power but not the initial dissolved oxygen concentration. The degassing rate at 101.3 kPa was higher in the frequency range of 200 kHz to 1 MHz. The frequency dependence of the degassing rate was almost the same as that of the sonochemical efficiency obtained by the potassium iodide (KI) method. Ultrasonic degassing in the frequency range of 22–1960 kHz was also investigated under reduced pressure of 5 kPa. Degassing was accelerated when ultrasonic irradiation was applied under reduced pressure. However, under a reduced pressure of 5 kPa, the lower the frequencies, the higher is the degassing rate. The sonochemical reaction rate was examined by the KI method for varying dissolved air concentrations before ultrasonic irradiation. Cavitation did not occur when the initial dissolved oxygen concentration was less than 2 mg·L⁻¹. Therefore, the lower limit of ultrasonic degassing under 101.3 kPa equals 2 mg·L⁻¹ dissolved oxygen concentration. A model equation for the time variation of dissolved oxygen concentration due to ultrasonic irradiation was developed, and the degassing mechanism was discussed.     

Spinon phonon interaction and ultrasonic attenuation in quantum spin liquids

Several experimental candidates for quantum spin liquids have been discovered in the past few years which appear to support gapless fermionic S=1/2 excitations called spinons. The spinons may form a Fermi sea coupled to a U(1) gauge field, and may undergo a pairing instability. We show that despite being charge neutral, the spinons couple to phonons in exactly the same way that electrons do in the long wavelength limit. Therefore, we can use sound attenuation to measure the spinon mass and lifetime. Furthermore, transverse ultrasonic attenuation is a direct probe of the onset of pairing because the Meissner effect of the gauge field causes a "rapid fall" of the attenuation at T(c) in addition to the reduction due to the opening of the energy gap. This phenomenon, well known in clean superconductors, may reveal the existence of the U(1) gauge field.     

Leap behavior of ultrasonic standing waves in the liquids

The generation and behavior of ultrasonic standing waves was modeled using the light cut method for transparent fluid. The oscillations of the fluid surface in initial moment of switching on ultrasound and appearance of standing wave channel were observed. The effect of continuous fluid depth decrease and increase on the behavior of ultrasonic standing wave channel was studied. The ultrasonic standing wave channel floated in the liquid between of the crucible bottom and fluid surface and discretely changed its height by half ultrasonic wavelength with the decrease or increase of the liquid level. This channel had the behavior of a “quasi solid state” and damped of convection.