Instrument to measure the heat convection coefficient on the endothelial surface of arteries and veins.

The primary objective of the paper was to present the design and analysis of an instrument to measure the heat convection coefficient h on the endothelial surfaces of arteries and veins. An invasive thermistor probe was designed to be inserted through the vessel wall and positioned on the endothelial surface. Electrical power was supplied to the thermistor by a constant temperature anemometry circuit. Empirical calibrations were used to relate electrical measurements in the thermistor to the h at the endothelial surface. As the thermal processes are strongly dependent on baseline blood temperature, the instrument was calibrated at multiple temperatures to minimise this potentially significant source of error. Three different sizes of thermistor were evaluated to optimise accuracy and invasiveness, and the smallest thermistors provided the best results. The sensitivity to thermistor position was evaluated by testing the device at multiple locations, varying both depth of thermistor penetration and position along the vessel. Finally, the measurement accuracy of the instrument was determined for the range of h from 430 to 4200 W m(-2)K, and the average error of the reading was 4.9% for the smallest thermistor. Although the instrument was designed specifically for measurements in the portal vein to obtain useful data for current numerical modelling, the device can be used in any large vessel.

Self-heated thermistor measurements of perfusion.

A microcomputer-based control system applies a combination of steady state and sinusoidal power to a thermistor probe which is inserted into the tissue of interest. The steady-state temperature response is an indication of the effective thermal conductivity (keff), which includes a component due to intrinsic conduction plus a convective component due to the tissue blood flow near the probe. By careful choice of the excitation frequency, the sinusoidal temperature response can be used to measure intrinsic thermal conductivity (km) in the presence of blood flow. Optimal sinusoidal heating frequency depends on the thermistor size. Experimental results in the alcohol-fixed canine kidney cortex show that perfusion is linearly related to the difference keff minus km. The instrument can measure tissue thermal conductivity with an accuracy of 2%. The instrument can resolve changes in perfusion of 10 mL/100g-min with a Thermometrics P60DA102M thermistor. The maximum error in measured perfusion is about 30%. When tissue trauma due to probe insertion is minimized, the self-heated thermistor method gives a reliable indication of local tissue blood flow.

Measurement of directional thermal properties of biomaterials.

This paper presents an experimental technique to measure the directional thermal conductivity and thermal diffusivity of materials. A heated thermistor heats the sample and a sensing thermistor placed about 2.5 mm away measures the temperature rise due the heating pulse at the heated thermistor. An empirical relation between the power delivered by the first thermistor and the temperature rise recorded by the sensing thermistor is used to measure the thermal conductivity of the material along the line joining the thermistors. Diffusivity of the material is determined from the delay between the power pulse in the heated thermistor and the temperature pulse at the sensing thermistor. Signal processing was done to eliminate errors in the measurement due to change of base line temperature. Uncertainty of the measurement technique was found to be 5% when tested in media of known thermal properties. The thermal conductivity and thermal diffusivity of swine left ventricle in normal and ablated conditions were measured using this technique. The thermal conductivity of the tissue dropped significantly from 0.61 to 0.50 W.m(-1).K(-1) after ablation while the diffusivity dropped from 2.1 x 10(-7) to 1.7 x 10(-7)m2.s(-1).

Steady-state analysis of self-heated thermistors using finite elements.

The purpose of this work is to validate, using numerical, finite element methods, the thermal assumptions made in the analytical analysis of a coupled thermistor probe-tissue model upon which a thermal conductivity measurement scheme has been based. Analytic, closed form temperature profiles generated by the self-heated thermistors can be found if three simplifying assumptions are made: the thermistor is spherical; heat is generated in all regions of the bead; and heat is generated uniformly in the bead. This analytic solution is used to derive a linear relationship between tissue thermal conductivity and the ratio of thermistor temperature rise over electrical power required to maintain that temperature rise. This derived, linear relationship is used to determine thermal conductivity from the observed experimental data. However, in reality, the thermistor bead is a prolate spheroid surrounded by a passive shell, and the heating pattern in the bead is highly nonuniform. In the physical system, the exact relationship between the tissue thermal conductivity and parameters measured by the thermistor is not known. The finite element method was used to calculate the steady-state temperature profiles generated by thermistor beads with realistic geometry and heating patterns. The results of the finite element analysis show that the empirical, linear relationship remains valid when all three simplified assumptions are significantly relaxed.

A small artery heat transfer model for self-heated thermistor measurements of perfusion in the kidney cortex.

A small artery model (SAM) for self-heated thermistor measurements of perfusion in the canine kidney is developed based on the anatomy of the cortex vasculature. In this model interlobular arteries and veins play a dominant role in the heat transfer due to blood flow. Effective thermal conductivity, kss, is calculated from steady state thermistor measurements of heat transfer in the kidney cortex. This small artery and vein model of perfusion correctly indicates the shape of the measured kss versus perfusion curve. It also correctly predicts that the sinusoidal response of the thermistor can be used to measure intrinsic tissue conductivity, km, in perfused tissue. Although this model is specific for the canine kidney cortex, the modeling approach is applicable for a wide variety of biologic tissues.

Measurement of thermal conductivity, thermal diffusivity, and perfusion.

This paper describes an experiment technique for the measurement of thermal conductivity, thermal diffusivity and perfusion using self-heated thermistors. Thermal probes are constructed by placing a miniature thermistor at the tip of a plastic catheter. The volume of tissue over which the measurement occurs depends on the surface area of contact between the thermistor and the tissue. Electrical power is delivered to a spherical thermistor positioned invasively within the tissue of interest. The electrical power and resulting temperature rise are measured by a microcomputer-based instrument. When the tissue is perfused by blood, the thermistor heat is removed both by conduction and by heat transfer due to blood flow near the probe. In vivo, the instrument measures effective thermal properties which are the combination of conductive and convective heat transfer. The accuracy of the conductivity and diffusivity measurements was evaluated by operation of the probe in media of known thermal properties. Perfusion measurements in canine liver, prostate, and spleen are presented.

Analysis of the Weinbaum-Jiji model of blood flow in the canine kidney cortex for self-heated thermistors.

The Weinbaum-Jiji equation can be applied to situations where: 1) the vascular anatomy is know; 2) the blood velocities are known; 3) the effective modeling volume includes many vessels; and 4) the vessel equilibration length is small compared to the actual length of the vessel. These criteria are satisfied in the situation where steady-state heated thermistors are placed in the kidney cortex. In this paper, the Weinbaum-Jiji bioheat equation is used to analyze the steady state response of four different sized self-heated thermistors in the canine kidney. This heat transfer model is developed based on actual physical measurements of the vasculature of the canine kidney cortex. In this model, parallel-structured interlobular arterioles and venules with a 60 microns diameter play the dominant role in the heat transfer due to blood flow. Continuous power is applied to the thermistor, and the instrument measures the resulting steady state temperature rise. If an accurate thermal model is available, perfusion can be calculated from these steady-state measurements. The finite element simulations correlate well in shape and amplitude with experimental results in the canine kidney. In addition, this paper shows that the Weinbaum-Jiji equation can not be used to model the transient response of the thermistor because the modeling volume does not include enough vessels and the vessel equilibration length is not small compared to the actual length of the vessel.

Morphometry of the canine prostate vasculature.

Morphometric data of the tissue vasculature are fundamental to the development of models for blood perfused tissue mass and heat transfer. Vascular casts of six canine prostates were made and morphometry was performed on 14 transverse sections. The region sampled was restricted to the midsection within the parenchyma. General vascular features that were observed include the radially arranged arteries and veins within the parenchyma, the axially oriented periurethral venous plexae, and the parenchymal arteries ramifying less than the veins. The arterial and venous lumen diameters (mean +/- SD) are 84 +/- 31 (N = 42) and 125 +/- 51 (N = 117), respectively. The lengths for a single vessel generation are 2147 +/- 1196 microm (N = 14) and 1265 +/- 693 microm (N = 39) for the arteries and veins, respectively. Intervessel distances are 4056 +/- 2350 microm (N = 33) between arteries, 1526 +/- 982 microm (N = 330) between veins, and 1498 +/- 874 microm (N = 108) between arteries and veins. A simple vasculature model of evenly distributed vessels imbedded in tissue for heat transfer analysis was developed. The artery-artery distance being about three times that of the vein-vein distance suggested a rete-like configuration of arteries surrounded by veins. An effective distance of 1519 microm between vessels was used. Based upon this vasculature model, the vessel density was calculated to be 5.6 arteries/cm(2) and 44.5 veins/cm(2).

The simultaneous measurement of thermal conductivity, thermal diffusivity, and perfusion in small volumes of tissue.

An improved technique is presented for the "in-vivo" determination of thermal conductivity, thermal diffusivity, and perfusion using a self-heated spherical thermistor probe. In the presence of flow, solution of the time-dependent, probe-tissue coupled thermal model allows the measurement of "effective" thermal conductivity and "effective" thermal diffusivity, which represent the thermal properties of the perfused tissue. Perfusion can be quantified from both "effective" thermal properties. In the presence of flow, it has been shown that the transient power responses does not follow t-1/2 as has been previously assumed. An isolated rat liver preparation has been developed validate the measurement technique. Radioactive microspheres are used to determine the true perfusion from the total collected hepatic vein flow. Experimental data demonstrates the ability to quantify perfusion in small volumes of tissue.

Effect of laser radiation on tissue during laser angioplasty.

The thermal properties of adipose and ceramic atherosclerotic plaque deposits and normal arterial vessel wall were measured in the temperature range of 25-95 degrees C. In general, the data indicate that fatty plaques exhibit the lowest thermal conductivity and thermal diffusivity of the three types, whereas calcified plaques seem to have the highest values. By using a video scanning thermograph, temperature rise was recorded in normal vessel wall and plaque during ablation of tissue. Theoretical analysis suggested that realistic modeling of laser angioplasty should account for scattering of light, water content, and ablation. This paper is a preliminary report of these results.

Development of a multifrequency conductance catheter-based system to determine LV function in mice.

Transgenic mice offer a valuable way to relate gene products to phenotype, but the ability to assess the cardiovascular phenotype with pressure-volume analysis has lagged. Conductance measurement offers a method to generate an instantaneous left ventricular (LV) volume signal in the mouse but has been limited by the volume signal being a combination of blood and LV muscle. We hypothesized that by developing a mouse conductance system that operates at several simultaneous frequencies, we could identify and correct for the myocardial contribution to the instantaneous volume signal. This hypothesis is based on the assumption that mouse myocardial conductivity will vary with frequency, whereas mouse blood conductivity will not. Consistent with this hypothesis, we demonstrated that at higher excitation frequency, greater end-diastolic and end-systolic conductance are detected, as well as a smaller difference between the two. We then empirically solved for LV blood volume using two frequencies. We combined measured resistivity of mouse myocardium with an analytic approach and extracted an estimate of LV blood volume from the raw conductance signal. Development of a multifrequency catheter-based system to determine LV function could be a tool to assess cardiovascular phenotype in transgenic mice.

Progress in developing improved programs for pulsed field agarose gel electrophoresis of DNA.

Details are described here for using a rotating gel to perform pulsed field agarose gel electrophoresis (PFGE) with programmable control of the following variables: magnitude of the electrical field, polarity of the electrical field, temperature of the gel and position of the rotating disk upon which the agarose gel rests. By use of this procedure for programmable control, modes of PFGE have been explored that have the following characteristics: (i) resolution by DNA length is completely lost for DNA shorter than a critical length that increases as the pulse times increase, and (ii) resolution by DNA length is enhanced for longer DNAs that are shorter than a second critical length. This window of resolution can be moved to the position of the 2-6 Mb chromosomes of Schizosaccharomyces pombe.

A self-heated thermistor technique to measure effective thermal properties from the tissue surface.

A microcomputer based instrument to measure effective thermal conductivity and diffusivity at the surface of a tissue has been developed. Self-heated spherical thermistors, partially embedded in an insulator, are used to simultaneously heat tissue and measure the resulting temperature rise. The temperature increase of the thermistor for a given applied power is a function of the combined thermal properties of the insulator, the thermistor, and the tissue. Once the probe is calibrated, the instrument accurately measures the thermal properties of tissue. Conductivity measurements are accurate to 2 percent and diffusivity measurements are accurate to 4 percent. A simplified bioheat equation is used which assumes the effective tissue thermal conductivity is a linear function of perfusion. Since tissue blood flow strongly affects heat transfer, the surface thermistor probe is quite sensitive to perfusion.

Optical and thermal properties of nasal septal cartilage.

BACKGROUNDS AND OBJECTIVES: The aim of the study was to measure the spectral dependence of optical absorption and reduced scattering coefficients and thermal conductivity and diffusivity of porcine nasal septal cartilage. Values of optical and thermal properties determined in this study may aid in determining laser dosimetry and allow selection of an optical source wavelength for noninvasive diagnostics for laser-assisted reshaping of cartilage. MATERIALS AND METHODS: The diffuse reflectance and transmittance of ex vivo porcine nasal septal cartilage were measured in the 400- to 1,400-nm spectral range by using a spectrophotometer. The reflectance and transmittance data were analyzed by using an inverse adding-doubling algorithm to obtain the absorption (mu(a)) and reduced scattering (mu(a)') coefficients. A multichannel thermal probe controller system and infrared imaging radiometer methods were applied to measure the thermal properties of cartilage. The multichannel thermal probe controller system was used as an invasive technique to measure thermal conductivity and diffusivity of cartilage at three temperatures (27, 37, 50 degrees C). An infrared imaging radiometer was used as a noninvasive method to measure the thermal diffusivity of cartilage by using a CO(2) laser source (lambda = 10.6 microm) and an infrared focal plane array (IR-FPA) camera. RESULTS: The optical absorption peaks at 980 nm and 1,180 nm in cartilage were observed and corresponded to known absorption bands of water. The determined reduced scattering coefficient gradually decreased at longer wavelengths. The thermal conductivity values of cartilage measured by using an invasive probe at 27, 37, and 50 degrees C were 4.78, 5.18, and 5.76 mW/cm degrees C, respectively. The corresponding thermal diffusivity values were 1.28, 1.31, and 1.40x 10(-3) cm(2)/sec. Because no statistically significant difference in thermal diffusivity values with increasing temperature is found, the average thermal diffusivity is 1.32 x 10(-3) cm(2)/sec. The numerical estimate for thermal diffusivity obtained from infrared radiometry measurements was 1.38 x 10(-3) cm(2)/sec. CONCLUSION: Values of the spectral dependence of the optical absorption and reduced scattering coefficients, and thermal conductivity and diffusivity of cartilage were measured. The invasive and noninvasive diffusivity measurements were consistent and concluded that the infrared imaging radiometric technique has an advantage to determine thermal properties, because damage to the cartilage sample may be avoided. The measured values of absorption and reduced scattering coefficients can be used for predicting the optical fluence distribution in cartilage and determining optical source wavelengths for the laser-assisted cartilage reshaping studies. The thermal conductivity and diffusivity values can play role in understanding thermal-dependent phenomenon in cartilage during laser irradiation and determining laser dosimetry for the laser-assisted cartilage reshaping studies.

An isolated rat liver model for the evaluation of thermal techniques to quantify perfusion.

An isolated, thermally regulated, perfused rat liver model system is presented. The model was developed to evaluate thermal methods to quantify perfusion in small volumes of tissue. The surgically isolated rat liver is perfused with an isothermal oxygenated Krebs-Ringer bicarbonate buffer solution via the cannulated portal vein. A constant-pressure head variable-resistance scheme is utilized to control the total flow to the liver. Total flow is quantified by hepatic vein collection. The spatial distribution of perfusion within the liver is determined using two independent methods. In the first method, radio-labelled microspheres are injected into the portal vein, and the regional flow distribution is determined from the relative radioactivity of each section of tissue. In the second method, the tissue is thermally perturbed, and the time constant of the tissue temperature recovery is measured. The regional distribution is determined from the relative time constants of each section of tissue. Both methods require the measurement of total liver flow to determine the absolute perfusion at each point. Results obtained by the two methods were well correlated (0.973). The rat liver system offers a stable, controllable, and measurable perfusion model for the evaluation of new perfusion measurement techniques.