A fully coupled binary biochemical reactive-diffusion model with analytic solution

Coupled multicomponent biochemical reactive diffusion underlies a variety of biological signalling processes and pharmacokinetic applications, such as paracrine signalling involving "cocktails" comprised of growth promoter/inhibitor factors and proteases associated with tumor angiogenesis, invasion and metastasis, extravascular drug delivery, and polymeric controlled-release drug codelivery design. Here, we present a model and develop a new analytic solution to illustrate the spatiotemporal behavior associated with fully coupled binary biochemical reactive diffusion. The complete coupling renders the solution appreciably more complex in structure and behavior than solutions for unicomponent or partially coupled models. Concentration behavior is illustrated by the computational simulation of binary-species tumor angiogenesis factor reactive-diffusion in the extravascular tissue matrix. The computational results indicate that (a) steady-state concentration profiles are achieved within 1 h of a change in factor production; (b) in the steady state, the spatial profiles of the two components tend to be similar; (c) exceedingly steep concentration gradients, involving several orders-of-magnitude differences in concentration over a few tenths of a millimeter, can occur in the vicinity of boundary sources due to inter-species reaction; (d) the concentration profiles of the two species differ from unicomponent predictions due to the simultaneous mass interchange between the two species. The analytic solution predictions are also used to provide a first-ever validation of a time-dependent, binary-component Crank-Nicholson numerical solution. The ability to quantitatively model interacting and often strongly varying concentration levels as a function of time and position can serve as a powerful complementary tool to experimental analyses for assessing disease state and interventional pharmacological efficacy, especially when the spatial scales on which in vivo behavior occurs taxes the limits of imaging capabilities.

Bone phenotype of the aromatase deficient mouse

Estrogens are important for normal bone growth and metabolism. The mechanisms are incompletely understood. Thus, we have undertaken characterization of the skeletal phenotype of aromatase (ArKO) deficient mice. No abnormalities have been noted in skeletal patterning in newborns. Adult ArKO mice show decreased femur length and decreased peak Bone Mineral Density (BMD) with accelerated bone loss by 7 months of age in females. Magnetic resonance microscopy (MR) and microCT (microCT) imaging disclosed decreased cancellous connectivity and reduced cancellous bone volume in ArKO females. Bone formation rate (BFR) is increased in ArKO females and decreased in ArKO males. Estradiol therapy reverses these changes. This anabolic effect of estradiol in the male skeleton is supported by 18-F- Positron Emission Tomography (PET) imaging, which clearly demonstrates decreased spinal uptake, but marked increase after estradiol therapy. Serum IGF-1 levels are high in young female ArKO mice but low in young ArKO males. The reduced BMD in ArKO females, despite the presence of elevated serum IGF 1, suggests that other mechanism(s) are operative. There is increased B-cell lymphopoiesis in adult female ArKO bone marrow cells. These results show that ArKO mice show the effects of estrogen deficiency on bone growth, mass, metabolism, microarchitecture and the hematopoietic microenvironment.

Bone material ultrasound velocity is predictive of whole bone strength

In humans, bone strength is assessed indirectly by the noninvasive measurement of structure or mass. Recent clinical application of an ultrasonic critical-angle reflectometry technique (UCR) has demonstrated the measurement of the regional and directional distribution of mechanical stiffness. This study investigates the specific question: are these measurements of a local material level property predictive of the strength of whole bone? Maximum values of pressure wave velocity and breaking strength were recorded at two locations (midshaft and base of neck) on rat femurs from growing rats. The results demonstrate a strong empirical relationship between material-level ultrasound (US) velocity and whole bone mechanical strength. However, the US velocity at a specific bone site can be used to assess bone strength at that site only, explaining discrepancies in other published studies that negate a relationship between strength and US velocity. The results indicate an important role for US velocity measurement in clinical evaluation of bone health.

Tumor oximetry: demonstration of an enhanced dynamic mapping procedure using fluorine-19 echo planar magnetic resonance imaging in the Dunning prostate R3327-AT1 rat tumor

PURPOSE

We have developed an enhanced approach to measuring regional oxygen tension (pO(2)) dynamics in tumors. The technique is demonstrated in a group of 8 Dunning prostate rat tumors (R3327-AT1) with respect to respiratory challenge.

METHODS AND MATERIALS

Hexafluorobenzene was injected directly into the tumors of anesthetized rats. (19)F nuclear magnetic resonance echo planar imaging relaxometry was performed to obtain maps of regional tumor oxygenation under baseline conditions and when the inhaled gas was changed to oxygen or carbogen.

RESULTS

Sequential pO(2) maps required 8 min, with a typical precision of 1-3 torr at 30-100 individual regions across a tumor. When rats breathed 33% oxygen, distinct heterogeneity was observed for baseline oxygenation in each tumor with pO(2) values ranging from hypoxic to greater than 100 torr. Larger tumors showed significantly lower baseline pO(2). Respiratory challenge with oxygen or carbogen produced significant increases in tumor oxygenation with a close correlation between the response to each gas at individual locations. Regions of both small and large tumors responded to respiratory challenge, but the rate was generally much faster in initially well-oxygenated regions.

CONCLUSIONS

Regional pO(2) was assessed quantitatively and the response of multiple individual tumor regions observed simultaneously with respect to interventions.

Bone material elasticity in a murine model of osteogenesis imperfecta

To investigate the source of bone brittleness in the disease osteogenesis imperfecta (OI), biomechanical properties have been measured in the femurs from a homozygous (oim/oim) mutant mouse model of OI, its heterozygous littermates, and wild-type animals. The novel technique of ultrasound critical-angle reflectometry (UCR) was used to determine bone material elasticity matrix from measurements of the pressure and shear wave velocity at different orientations about selected points of the bone specimens. This nondestructive method is the only available means for obtaining measurements of this nature from a single surface. The ultrasound pressure wave velocity showed an increased isotropy in the homozygous compared to the wild-type specimens. This was reflected in a significant decrease in the principal elastic modulus measured along the length of the oim/oim bones (E33) while the modulus along the width (E11) did not change significantly, compared to wild-type specimens. The Poisson's ratio, v12, also had a significantly increased value in oim/oim bones. Measurements of these parameters in heterozygous animals generally fell between those from homozygous and control mice. The differences in the elasticity components in oim/oim bones indicate an altered stress distribution and a modified elastic response to loads, compared to normal bone.

Regional tumor oxygenation and measurement of dynamic changes

We recently described a novel approach to measuring regional tumor oxygen tension using (19)F pulse burst saturation recovery (PBSR) nuclear magnetic resonance (NMR) echo planar imaging (EPI) relaxometry of hexafluorobenzene. We now compare oxygen tension measurements in a group of size-matched R3327-AT1 Dunning prostate rat tumors made using this new method with those using a traditional polarographic method: the Eppendorf histograph. Similar oxygen tension distributions were found using the two methods, and both techniques showed that tumors with volume greater than 3.5 cm(3) were significantly (P < 0.0001) less well oxygenated than smaller tumors (volume less than 2 cm(3)). Using the (19)F EPI approach, we also examined the response to respiratory challenge. Increasing the concentration of inspired oxygen from 33% to 100% O(2) produced a significant increase (P < 0.0001) in tumor oxygenation for a group of small tumors. In contrast, no change was observed in the mean pO(2) for a group of large tumors. Consideration of individual tumor regions irrespective of tumor size showed a strong correlation between the maximum pO(2) observed when breathing 100% O(2) compared with mean baseline pO(2). These results further demonstrate the usefulness of (19)F EPI to assess changes in regional tumor oxygenation.

Regional tumor oxygen tension: fluorine echo planar imaging of hexafluorobenzene reveals heterogeneity of dynamics

PURPOSE

Therapeutic success could be enhanced if therapy were tailored to the characteristics of specific tumors. We have been developing novel approaches to measuring tumor oxygen tension in vivo, and recently reported a method based on 19F nuclear magnetic resonance (NMR) spin lattice echo planar imaging (EPI) relaxometry of hexafluorobenzene (HFB). We have now examined the feasibility of monitoring dynamic changes in regional tumor oxygenation in response to respiratory challenge. Preliminary data in one tumor show distinct differences before and subsequent to irradiation.

METHODS AND MATERIALS

Dunning prostate adenocarcinoma R3327-AT1 was grown in the form of pedicles on the foreback of male Copenhagen rats. When the tumors reached approximately 1 cm diameter, HFB (40 microl) was administered by direct intratumoral injection deliberately dispersed to interrogate both central and peripheral regions. Local pO2 was determined using pulse burst saturation recovery 19F NMR EPI on the basis of the spin lattice relaxation rate.

RESULTS

Interrogation of both central and peripheral regions of tumors showed bimodal distribution for oxygenation, including many voxels with pO2 < 15 torr. Altering the inspired gas to 100% O2 produced significant elevation for regions with initially high pO2 (P < 0.01), but the temporal course of dynamic changes varied for each voxel. Many voxels with low pO2 showed little response. Following irradiation (20 Gy), tumor oxygenation was significantly elevated and remained high for at least 10 h.

CONCLUSION

We believe this method provides a valuable new approach to investigate tumor oximetry that may extend our understanding of tumor physiology, and could have prognostic value.

SPECT electronic collimation resolution enhancement using chi-square minimization

An electronic collimation technique is developed which utilizes the chi-square goodness-of-fit measure to filter scattered gammas incident upon a medical imaging detector. In this data mining technique, Compton kinematic expressions are used as the chi-square fitting templates for measured energy-deposition data involving multiple-interaction scatter sequences. Fit optimization is conducted using the Davidon variable metric minimization algorithm to simultaneously determine the best-fit gamma scatter angles and their associated uncertainties, with the uncertainty associated with the first scatter angle corresponding to the angular resolution precision for the source. The methodology requires no knowledge of materials and geometry. This pattern recognition application enhances the ability to select those gammas that will provide the best resolution for input to reconstruction software. Illustrative computational results are presented for a conceptual truncated-ellipsoid polystyrene position-sensitive fibre head-detector Monte Carlo model using a triple Compton scatter gamma sequence assessment for a 99mTc point source. A filtration rate of 94.3% is obtained, resulting in an estimated sensitivity approximately three orders of magnitude greater than a high-resolution mechanically collimated device. The technique improves the nominal single-scatter angular resolution by up to approximately 24 per cent as compared with the conventional analytic electronic collimation measure.

Analytic treatment of resolution precision in electronically collimated SPECT imaging involving multiple-interaction gamma rays

The widely applied single-interaction analytic expression characterizing the energy resolution component of the angular resolution precision for an electronically collimated point source is extended to include multiple-interaction Compton scatter sequences as well as sequences terminated by photoelectric absorption. The analytic formulation is developed using the statistical variance of the mean for components comprising composite, multivariate resolution precision estimators. It is demonstrated that enhanced resolution precision in the incident interaction scatter angle is attained when use is made of information from multiple interactions. An improvement in the resolution precision of up to approximately 40% is observed for triple Compton scatter. Comparison of the analytic estimates with Monte Carlo/chi-square results shows good agreement.

Development of novel 19F NMR pH indicators: synthesis and evaluation of a series of fluorinated vitamin B6 analogues

We have synthesized a series of novel fluorinated vitamin B6 analogues (6-fluoropyridoxol derivatives) as potential 19F NMR pH indicators for use in vivo. Modifications included addition of aldehyde, carboxyl or aminomethyl groups at the 4- or 5-ring position, and examination of a trifluoromethyl moiety as an internal chemical shift standard. The variation in chemical shift with respect to acid-base titration showed pKa values in the range 7.05-9.5 with a chemical shift sensitivity in the range 7.4-12 ppm. Several of the molecules readily cross cell membranes providing estimates of both intra- and extra-cellular pH in whole blood. 6-Fluoropyridoxamine (6-FPAM) exhibits a pKa = 7.05, which is closer to normal physiological pH than the parent molecule 6-fluoropyridoxol (6-FPOL) (pKa = 8.2), and should thus, be useful for precise and accurate measurements of pH in vivo. Enhanced spectral resolution for 6-FPAM over 6-FPOL is demonstrated in whole blood and the perfused rat heart.

Regional tumor oximetry: 19F NMR spectroscopy of hexafluorobenzene

PURPOSE

An accurate method for monitoring oxygen tension (pO2) of individual tumors could be valuable for optimizing treatment plans. We have recently shown that 19F nuclear magnetic resonance (NMR) spin-lattice relaxometry of hexafluorobenzene (HFB) provides a highly sensitive indicator of tumor oxygenation. We have now refined the methodology to provide enhanced precision, and applied the method to investigate dynamic changes in tumor oxygenation.

METHODS AND MATERIALS

Dunning prostate adenocarcinoma R3327-AT1 was grown in the form of pedicles on the foreback of male Copenhagen rats. When the tumors reached approximately equal to 1 cm diameter, HFB (20 microl) was administered, either centrally or peripherally, by direct intratumoral (i.T) injection. Local pO2 was determined using pulse-burst saturation recovery (PBSR) 19F NMR spectroscopy on the basis of the spin-lattice relaxation rate, R1.

RESULTS

Interrogation of the central region of tumors provided typical values in the range pO2 = 1.4-6.4 mmHg, with a typical stability of +/-2 mmHg over a period of 20 min, when rats breathed 33% O2. Altering the inhaled gas to oxygen or carbogen (95% O2/5% CO2) produced no significant change. In contrast, interrogation of tumor periphery indicated baseline pO2 in the range 7.9-78.9 mmHg. Altering inspired gas produced significant changes (p < 0.0001) with O2 or carbogen, although the change was generally greater with carbogen. In each case, pO2 returned to baseline within 16 min of returning the inhaled gas to baseline.

CONCLUSION

We believe this method provides a valuable new approach with the requisite precision and accuracy to investigate tumor pO2.

Simultaneous intracellular and extracellular pH measurement in the heart by 19F NMR of 6-fluoropyridoxol

6-Fluoropyridoxol (6-FPOL) was evaluated as a simultaneous indicator of intracellular and extracellular pH and, hence, pH gradient in perfused rat hearts. After infusion, 19F NMR spectra rapidly showed two well-resolved peaks assigned to the intracellular and extracellular compartments, and pH was calculated on the basis of chemical shift with respect to a sodium trifluoroacetate standard. To demonstrate use of this molecule, dynamic changes in myocardial pH were assessed with a time resolution of 2 min during respiratory and metabolic alkalosis or acidosis and ischemia. For a typical heart, intracellular pH (pHi) = 7.14+/-0.01 and extracellular pH (pHe) = 7.52+/-0.02. In response to metabolic alkalosis, pHi remained relatively constant and the pH gradient increased. In contrast, respiratory challenge caused a significant increase in pHi. Independent measurements using pH electrodes and 31P NMR confirmed validity of the 19F NMR results.

Bone elasticity and ultrasound velocity are affected by subtle changes in the organic matrix

The mechanical competence of bone can be studied through the measurement of the components of its material elasticity, a property which can vary both in magnitude and in dependence upon orientation (anisotropy). While it is known that the elasticity is largely determined by the mineral constituents of the bone matrix, it is nonetheless clear that it must be also dependent upon the remaining constituents of bone material. In this work, the influence of organic components on the elasticity is explored by altering specific constituents of the bone matrix to varying degrees. This study addresses two questions: first, are the resulting changes in elasticity strongly or weakly dependent upon direction, and second, are they substantially dependent upon the nature and magnitude of the induced matrix alteration? To answer these questions, we performed different chemical manipulations of the bone matrix and measured the changes in elasticity and velocity using the technique of ultrasound critical angle reflectometry. Altering the properties of the organic matrix resulted in substantial and complex changes in the elasticity of bone. The observed changes were strongly dependent upon direction, could not be explained by changes in density alone, and varied strongly with the specific chemical treatment of the matrix. Immersion in urea selectively affected protein components of the organic matrix and resulted in reversible changes in velocity and elasticity, while removal of collagen caused anisotropic decreases and removal of all organic matter caused a collapse of all components of the elasticity. In conclusion, this study confirms that the organic matrix exerts a profound influence on the elasticity and indicates that the measurement of elastic properties at multiple directions is necessary in the assessment of bone mechanical competence.

Reflection ultrasound velocities and histomorphometric and connectivity analyses: correlations and effect of slow-release sodium fluoride

To better understand how structural and functional bone properties contribute to the changes in bone biomechanical properties revealed by ultrasound critical angle reflectometry (UCR) analysis, we measured both UCR velocities and histomorphometric properties in bone biopsy specimens from 33 osteoporotic patients before and following intermittent slow-release sodium fluoride (SRNaF) and continuous calcium citrate administration. Mean skeletal fluoride exposure was 17 months, and mean skeletal fluoride content was 0.203 +/- 0.088 SD% bone ash. Intermittent SRNaF and continuous calcium citrate promoted significant increases in trabecular thickness (122 +/- 18 SD microm to 131 +/- 20, p = 0.020), mineral apposition rate (0.79 +/- 0.26 to 1.05 +/- 0.40 microm/day, p = 0.014), and a significant decline in eroded surface (3.9 +/- 1.6 to 2.8 +/- 1.4%, p = 0.002). There were also significant increases in node number (0.193 +/- 0.100 to 0.368 +/- 0.245, p < 0.01) and node-to-node strut length (0.076 +/- 0.087 to 0.191 +/- 0.173, p < 0.01) relative to total cancellous area. Cortical UCR velocity did not change but cancellous velocity significantly increased by 97 m/s following therapy (p = 0.0005). When compared against the significant changes in bone histomorphometry and connectivity, the sum of both cancellous and cortical ultrasound velocities was significantly correlated with node number/area (R2 = 0.305, p < 0.0001) and node-to-node strut length/area (R2 = 0.372, p < 0.0001) and to a lesser extent with mineral apposition rate (R2 = 0.106, p = 0.032). Multiple regression analysis demonstrated that 40% of the variance in the sum of the UCR velocities can be accounted for by the variability in these histomorphometric and connectivity parameters. There were no significant correlations between the sum of cortical and cancellous ultrasound velocities and cancellous bone volume (R2 = 0.014, p = 0533), trabecular thickness (R2 = 0.012, p = 0.47), or bone mineral density (R2 = 0.003, p = 0.80). These observations indicate that velocity measurements with the UCR methodology show an improvement in bone elasticity associated, in part, with an improvement in the rate of bone mineralization and an improvement in bone quality at the structural level as shown by microarchitecture.

Regional tumor oxygen dynamics: 19F PBSR EPI of hexafluorobenzene

We demonstrate a novel approach to measuring regional tumor oxygen tension using 19F pulse burst saturation recovery echo planar imaging (EPI) relaxometry of hexafluorobenzene. Hexafluorobenzene offers exceptional sensitivity to changes in oxygen tension, and has a single resonance making it ideal for imaging studies. By combining a pulse burst saturation recovery preparation sequence with EPI, the relaxation experiments were performed in approximately 20 min facilitating measurements of dynamic changes in pO2 accompanying interventions. Direct intratumoral administration of hexafluorobenzene permitted labeling of specific regions of interest, and imaging provided maps of pO2, confirming distinct intra tumoral heterogeneity. For a group of three Dunning prostate adenocarcinoma R3327-AT1 tumors interrogation of the central tumor region showed skewed pO2 distributions with considerable radiobiological hypoxia (approximately 90% voxels had pO2 < 15 torr) when rats breathed 33% O2. Altering the inspired gas to pure oxygen caused distributions to shift towards increased pO2 with significant increases in mean oxygen tension (p < 0.05) in two cases. Interrogation of both central and peripheral regions in a fourth tumor showed bimodal distribution for tumor oxygenation including approximately 75% voxels with pO2 > 15 torr. EPI allows the fate of individual voxels to be traced: upon altering the inspired gas to pure oxygen those voxels with baseline pO2 > 30 torr showed significant changes (p < 0.05), whereas those with pO2 < 16 torr showed minimal response. The precision of the measurements, together with the ability to simultaneously examine dynamic changes in multiple regions should provide a useful technique for investigating tumor hypoxia with respect to therapy.

Connectivity in human cancellous bone by three-dimensional magnetic resonance imaging

Bone architecture affects strength and resistance to fracture. Trabecular connectivity is now recognized as an important measure of bone quality, and could be useful as an indicator of the osteoporotic condition, as well as a tool for measuring the effectiveness of therapies. We have applied three-dimensional magnetic resonance imaging microscopy to human cancellous bone biopsies, and report the results of connectivity measurements. Sample heterogeneity was examined on the basis of connectivity density for subvolumes. The choice of examination volume had a significant effect on connectivity density measurements, but sample volumes greater than 100 mm3 were found to give stable results. Connectivity density was strongly correlated with nodal density, and two-dimensional estimates of connectivity, but not bone volume fraction. Repeat measurement at constant resolution (69 x 138 x 109 microns, signal-to-noise ratio of about 35) showed reproducibility of about 5% for connectivity density. Our most recent results have significantly enhanced resolution (69 x 69 x 43 microns); bone fraction remained constant, but apparent connectivity density is greater.

6-Fluoropyridoxal polymer conjugates: novel 19F pH indicators for magnetic resonance spectroscopy

Fluorinated macromolecular probes (6-fluoropyridoxal-polymer conjugates) have been synthesized and characterized as potential pH indicators for magnetic resonance spectroscopy and imaging applications. The 19F pH sensor 2-fluoro-5-hydroxy-3-(hydroxymethyl)-6-methyl-4-pyridinecarboxal-+ ++dehyde (6-fluoropyridoxal; 2) has been conjugated to carrier molecules (polyamino dextran, polylysine, and albumin) by reductive alkylation for enhanced vascular retention and tissue targeting. The pH indicator polymer conjugates were purified by exhaustive dialysis and isolated in good yields (66-84%). The 6-fluoropyridoxal-polymer conjugates exhibit excellent 19F pH sensitivity and pKa suitable for in vivo studies. The potential application of these polymeric indicators has been demonstrated in whole blood. These novel macromolecular pH probes offer a new approach for studying tissue physiology.

Regional myocardial oxygen tension: 19F MRI of sequestered perfluorocarbon

A novel noninvasive method of measuring local myocardial oxygen tension (pO2) in the perfused rat heart using 19F MRI is demonstrated. Tissue pO2 was determined on the basis of the 19F spin-lattice relaxation rate (R1) of perflubron (perfluorooctyl bromide) sequestered in the heart after IV infusion of an emulsion. Spectroscopic measurement of R1 was previously used to measure a global weighted average of oxygen status. 19F MRI now provides 3D spatial resolution indicating local cardiac pO2 under normally perfused, globally ischemic, and regionally ischemic conditions.

Hexafluorobenzene: a sensitive 19F NMR indicator of tumor oxygenation

We have surveyed the sensitivity of the spin lattice relaxation rates of the 19F resonances of several perfluorocarbons to changes in oxygen tension and temperature. Hexafluorobenzene was found to exhibit exceptional sensitivity to changes in oxygen tension, and we have exploited this phenomenon to measure tumor oxygen tension following intratumoral injection. When 20 microliters hexaflourobenzene were injected they remained localized and the biodistribution was readily assessed on the basis of combined 1H and 19F three-dimensional MRI. Relaxation measurements indicated a typical baseline oxygen tension of 4.0 +/- 1.5 torr in the central region of a Dunning prostate R3327-AT1 tumor when the rat breathed 66% oxygen. Altering the inspired oxygen concentration to 100% produced a modest increase in pO2 (5.6 +/- 0.7 torr; p < 0.1). Significantly, the precision of these measurements should facilitate NMR investigations of radiobiological hypoxia. Intra-tumoral injection allowed measurements from regions not normally accessible to infused perfluorocarbons and provides an additional approach to measuring tumor oxygenation.

A comparison of reflection and transmission ultrasonic techniques for measurement of cancellous bone elasticity

A reflection ultrasonic technique, which offers several advantages over transmission ultrasonic techniques, has been described for elastic property measurement of bone. Ultrasonic velocities from specimens of cancellous bone were compared using a reflection ultrasound technique and the more traditional transmission ultrasonic technique. The two techniques were found to yield velocities which were reasonably well correlated (r2 = 0.74). However, a statistical difference was found between the line of identity and the regression between transmission and reflection velocities (due to an offset in the intercept). In spite of differences in intercept between velocities measured by the two techniques, significant correlation was found between the two methods, suggesting that the reflection technique can measure wave velocities meaningful to bone elasticity.

6-Fluoropyridoxol: a novel probe of cellular pH using 19F NMR spectroscopy

6-Fluoropyridoxol was evaluated as an intracellular pH indicator. This molecule exhibits exceptional sensitivity to changes in pH (approximately 10 ppm acid/base shift) and a pKa approximately 8.2 appropriate for physiological investigations. Using 19F NMR spectroscopy we determined both intra- and extracellular pH in whole blood and confirmed the measurements using traditional techniques: ion-electrodes and 31P NMR spectroscopy.

Fluorinated proteins as potential 19F magnetic resonance imaging and spectroscopy agents

Fluorinated proteins have been synthesized and characterized as potential in vivo 19F magnetic resonance imaging (MRI) and spectroscopy (MRS) agents. Proteins labeled with fluorine include bovine serum albumin, gamma-globulin, and purified immunoglobulin (IgG). The amino groups in proteins were selectively trifluoroacetylated using S-ethyl trifluorothioacetate to synthesize fluorinated proteins (TFA-protein; 1-3). In another approach, trifluoroacetamidosuccinic anhydride has been used to prepare corresponding fluorinated derivatives of proteins (TFASA-protein; 4-6). The fluorinated proteins have been purified by exhaustive dialysis and isolated in good yields (55-76%). The fluorinated proteins exhibit useful NMR characteristics and the biocompatibility for in vivo studies. The initial investigations demonstrate the potential of these new fluorinated proteins as in vivo MRI/MRS probes.

Non-invasive determination of tumor oxygen tension and local variation with growth

PURPOSE

The objective was to develop and demonstrate a novel noninvasive technique of measuring regional pO2 in tumors. The method is based on measuring 19F nuclear magnetic resonance spin-lattice relaxation rate (R1 = 1/T1) of perfluorocarbon (PFC) emulsion discretely sequestered in a tumor.

METHODS AND MATERIALS

We have examined pO2 in the Dunning prostate tumor R3327-AT1 implanted in a Copenhagen rat. Oxypherol blood substitute emulsion was administered intravenously and became sequestered in tissue. Proton magnetic resonance imaging (MRI) showed tumor anatomy and correlated 19F MRI indicated the distribution of perfluorocarbon. Fluorine-19 spectroscopic relaxometry was used to measure pO2 in the tumor and repeated measurements over a period of 3 weeks showed the variation in local pO2 during tumor growth.

RESULTS

Perfluorocarbon initially resided in the vascularized peripheral region of the tumor: 19F nuclear magnetic resonance R1 indicated pO2 approximately 75 torr in a small tumor (approximately 1 cm) in an anesthetized rat. As the tumor grew, the sequestered PFC retained its original distribution. When the tumor had doubled in size the residual PFC was predominantly in the core of the tumor and the pO2 of this region was approximately 1 torr indicating central tumor hypoxia.

CONCLUSION

We have demonstrated a novel noninvasive approach to monitoring regional tumor pO2. Given the critical role of oxygen tension in tumor response to therapy this may provide new insight into tumor physiology, the efficacy of various therapeutic approaches, and ultimately provide a clinical technique for assessing individual tumor oxygenation.

Tumor oxygen tension: measurement using Oxygent as a 19F NMR probe at 4.7 T

We have used Oxygent (an emulsion of perflubron [PFOB]) to measure pO2 in a Dunning prostatic adenocarcinoma non-invasively using 19F NMR spectroscopy. We have confirmed a linear relationship between the spin-lattice relaxation rate (R1) and pO2 and we have assessed the effect of temperature. R1 of the individual resonances of Oxygent is considerably more sensitive to changes in pO2 than other PFC emulsions, whilst being considerably less sensitive to interference from temperature variation. Oxygent has two well resolved resonances (delta delta approximately 18ppm) and these were both exploited to estimate tumor pO2 = 47 +/- 5 torr.

Measurement of intrinsic bone quality in vivo by reflection ultrasound: correction of impaired quality with slow-release sodium fluoride and calcium citrate

The intrinsic (material) quality of cancellous and cortical bone was evaluated in vivo from the measurement of reflection ultrasound velocities in the ulna. In cancellous bone, the reflection ultrasound velocity was inversely correlated with age in normal women (r = -0.48, p = 0.001), with a significantly lower mean value in 32 normal postmenopausal women than in 14 premenopausal women (3124 versus 3341 m/s, p < 0.0001). In 32 untreated osteoporotic women the cancellous bone velocity was lower than in normal postmenopausal subjects (2906 versus 3124 m/s, p = 0.0001). Following treatment with slow-release sodium fluoride plus calcium citrate (mean 2.4 years in 33 osteoporotic patients with no fracture during treatment), the cancellous bone velocity was significantly higher than in untreated osteoporotic women (3082 versus 2906 m/s, p = 0.0002) and was not significantly different from that in normal postmenopausal women. The cortical bone velocity displayed similar trends, but the changes did not attain statistical significance. The measurements were repeated approximately 9 months later in 9 untreated and in 20 treated patients; in 5 additional patients, the measurements were made both before and after 9 months of treatment with slow-release sodium fluoride and calcium citrate. The cancellous bone velocity increased significantly (p = 0.046) in these patients, from 3008 m/s before treatment to 3112 m/s after the first 9 months of treatment. The velocity rose significantly from 3037 to 3167 m/s (p = 0.017) in patients treated for a short time (12-30 months at first measurement), but it did not change in untreated patients or those treated for more than 30 months. Thus, the material quality of cancellous bone decreases with normal aging and is reduced further with the osteoporotic process. This impaired quality may be corrected by treatment with slow-release sodium fluoride plus calcium citrate.

In vivo oxygen tension and temperature: simultaneous determination using 19F NMR spectroscopy of perfluorocarbon

A novel technique is presented to measure in vivo simultaneously oxygen tension and temperature using 19F NMR spectroscopy of perfluorocarbon. This work examines the variation with oxygen tension (pO2) and temperature of the individual spin lattice relaxation rates (R1) of the 19F resonances of the perfluorocarbon emulsion Oxypherol-ET. A linear relationship between R1 and pO2 is confirmed for all the resonances at any specific temperature in the range 27-50 degrees C. Similarly, a linear relationship is determined between R1 and temperature at any specific pO2 in this temperature range. Each resonance behaves uniquely with respect to temperature and pO2 and consideration of 2 or more resonances uniquely defines pO2 and temperature simultaneously, and unambiguously. This concept is demonstrated in vivo in a murine tumor and perfused rat heart, where pO2 and temperature were both determined without prior knowledge.

Glutathione in whole blood: a novel determination using double quantum coherence transfer proton NMR spectroscopy

Double quantum selective coherence transfer proton NMR spectroscopy has been used to observe glutathione in whole blood. The efficient water suppression of this technique avoids the need to resuspend the cells in D2O, hence avoiding equilibrium and kinetic isotope effects. Using this method we estimate the concentration of glutathione in fresh whole rabbit blood at approximately 1.7 mM.

Isolated tumor growth in a surgically formed skin pedicle in the rat: a new tumor model for NMR studies

We have developed a new tumor model, the skin flap pedicle, which is ideally suited for study by such techniques as magnetic resonance imaging (MRI) and spectroscopy (MRS) and positron emission tomography (PET) to evaluate changes in metabolism/physiology in tumors before and after treatment. Heretofore, results from such studies were generally obtained from tumors growing in the thigh or flank region and these sites of growth often compromised the quality of the results, because of the contribution of normal tissues such as muscle and bone. In an attempt to circumvent such problems, we developed a surgical technique for creating a tubular skin pedicle and subsequently transplanting tumors in the lumen of such pedicles. We have successfully grown Dunning Prostate tumors (R-3327) as PEDICLE-TUMORS (PED-TUM). This paper describes the surgical procedure for formation of the skin pedicle, implantation of the tumor, data on the growth and histology and discusses the application of the PED-TUM to research problems. We compare the NMR characteristics of the tumor grown in the traditional SC thigh position with that growth in the pedicle and demonstrate the utility and advantages of the new model for studies of tumor physiological function and structure.

Fluoride-stimulated [3H]thymidine uptake in a human osteoblastic osteosarcoma cell line is dependent on transforming growth factor beta

Controversy exists regarding the effect of fluoride on human osteoblast proliferation. To learn more of the cellular action of fluoride, we chose the clonal osteoblast cell line HOS TE85 as a model system. In these phenotypically osteoblast-like cells, sodium fluoride stimulated [3H]thymidine incorporation in a dose-dependent manner over the concentration range 1 x 10(-5)-2 x 10(-4) M. The fluoride-induced stimulation of [3H]thymidine uptake was dependent on cell density, being optimal at subconfluent cell numbers. Stimulation of [3H]thymidine uptake was inhibited by anti-transforming growth factor beta but not by antibody to insulin-like growth factor I or beta 2-microglobulin. Transforming growth factor beta was shown to be a biphasic stimulator of [3H]thymidine uptake in HOS TE85, with maximal stimulation occurring at 0.5 nM transforming growth factor beta. In the presence of fluoride the cells were more sensitive to stimulation by this growth factor, with maximum effect occurring at 0.1 nM. Fluoride did not increase mRNA for transforming growth factor beta following either 8 or 24 h of exposure. We conclude that fluoride activates osteoblast proliferation by modulating the cellular sensitivity to transforming growth factor beta, a known stimulator of bone growth.

Ultrasound study of bone in vitro

Ultrasound has been investigated as a tool for characterizing the biomechanical competence of bone. The rationale for using ultrasound rests on two points. First, its interaction with tissues can be used to measure their density, velocity, and structure, and thus to characterize the elasticity and to infer the strength of bone. Second, ultrasound may be used to characterize tissue properties over a wide range of spatial dimensions and organizational levels, ranging from its constituents (e.g., trabeculae for cancellous bone) to the entire organ. Different ultrasound techniques can be used to investigate diverse bone properties, but two techniques have emerged as having the potential for providing useful information on problems of current biomedical interest. These measure two parameters, density and velocity, which correlate with the elastic and ultimate properties of bone. In particular, the elasticity E is formally related to the product of density and velocity squared, E = rho v2. Moreover, it has been shown by mechanical testing that there is a single linear correlation between elasticity and strength at all orientations, both in cortical and in cancellous bone, materials with a strong intrinsic anisotropy. At the tissue level, it may therefore be expected that the ultrasound parameters will prove to be useful predictors of bone strength and of its dependence on orientation. In vitro ultrasound studies have shown that these properties can be measured specifically and quantitatively, and that they vary under different physiological conditions.

A noninvasive assessment of myocardial oxygen tension: 19F NMR spectroscopy of sequestered perfluorocarbon emulsion

Fluorine NMR spectroscopy of sequestered perfluorocarbon emulsion has been used to measure myocardial oxygen tension. This novel application provides a rapid noninvasive assessment of changes in oxygen tension in response to ischemia and reperfusion. Rats were predosed with Oxypherol-ET (emulsion of perfluorotributylamine). Following vascular clearance of the emulsion the heart was excised and perfused using the Langendorff retrograde technique. 19F spin-lattice relaxation time measurements provided an accurate estimate of myocardial pO2. Using a two-point determination with a time resolution of 1 s, the loss of oxygen was found to be complete within 40 s of the onset of global ischemia. The fall in oxygen tension correlated closely with an observed loss of ventricular pressure. Magnetic resonance imaging showed that perfluorocarbon was distributed throughout the heart; thus, this reporter molecule provides a global measurement of oxygen tension.

Lack of deleterious effect of slow-release sodium fluoride treatment on cortical bone histology and quality in osteoporotic patients

We evaluated the effects of intermittent slow-release sodium fluoride (SRNaF) and continuous calcium citrate therapy on cortical bone histology, reflection ultrasound velocity (material strength) and back-scattered electron image analysis (BEI) in 26 osteoporotic patients before and following therapy. All measurements were made on transiliac crest bone biopsies obtained before and following 2 years of therapy in each patient. For all 26 patients there were no significant changes in cortical bone histomorphometric parameters. In 15 patients in whom bone material quality was assessed by reflection ultrasound, there was no change in velocity (4000 +/- 227 SD to 4013 +/- 240 m/s). BEI disclosed no mineralization defects or the presence of woven bone. Mean atomic number (density) of bone increased slightly, but significantly (9.261 +/- 0.311 to 9.457 +/- 0.223, P = 0.031). While these changes are less marked than those observed for cancellous bone, they indicate that this form of therapy does not adversely affect cortical bone remodelling.

Oxygent: a novel probe of tissue oxygen tension

We have examined the 19F NMR spectrum and relaxation behavior of Oxygent (an emulsion of perfluorooctylbromide). Each of the resonances exhibits a linear relationship between spin-lattice relaxation rate and oxygen tension at constant temperature. Oxygent provides enhanced sensitivity to changes in oxygen tension compared with other emulsions used previously. We have used Oxygent to determine the oxygen tension in the liver of a mouse.

Measurement of mechanical properties of bone material in vitro by ultrasound reflection: methodology and comparison with ultrasound transmission

An ultrasound reflection technique was designed and implemented to study the mechanical properties of bone material. The technique uses the fact that an ultrasound beam produced in water undergoes total internal reflection off a bone sample at a critical angle formally related to the velocity of a pressure wave in bone. When the plane of scattering is rotated around the normal to the sample surface, the critical angle varies with a periodic dependence dictated by the intrinsic symmetry of the bone structure at the point being examined. Most current measurements of sound velocity are made using transmission techniques. A double-blind intercomparison between this technique and a transmission technique, which was previously validated against tensile mechanical testing, was performed for samples of isotropic materials and of human cortical bone. Strong correlations were found for both sets of samples. For the isotropic materials the velocities were approximately equal, but for bone they were on average 11% higher in reflection than in transmission. This was the result both of the higher frequency employed in reflection (3.5 rather than 2.25 MHz) and of the different effects of sample imperfections on the two measurements. In particular, the reflection technique used in this work studied the surface of the sample, but the ultrasound beam in the transmission method propagated through its interior. In assessing the mechanical properties of bone specimens by ultrasound, the reflection technique samples a discrete bone surface element and the transmission method analyzes the entire volume of the specimen. Thus the reflection technique may yield a measure of the mechanical property of bone trabeculae that is largely unaffected by the mass of the entire specimen, but mass and the structural density of the specimen affect the transmission method.

Tissue oxygenation: a novel determination using 19F surface coil NMR spectroscopy of sequestered perfluorocarbon emulsion

This work examines the variation with oxygen tension (pO2) of the individual spin-lattice relaxation times (T1) of the 19F resonances of the perfluorocarbon emulsion Oxypherol-ET (FC-43). A linear relationship between 1/T1 and pO2 has been confirmed for all four resonances at any specific temperature. Using a saturation recovery sequence, T1 has been successfully measured using surface coil NMR spectroscopy. This has facilitated measurement of T1 in vivo in a subcutaneous murine tumor. Mice were predosed with Oxypherol-ET emulsion: following complete vascular clearance of the perfluorocarbon, 19F signal was observed specifically from material sequestered in tissue, thus avoiding flow artifacts. Comparison of the pO2 estimated from each of the 19F resonances provided an internal consistency check. A pO2 = 0.1 +/- 2.2% was determined in a Meth-A murine tumor. When the mouse breathed carbogen (95% O2, 5% CO2) no significant change in tumor pO2 was detected, whereas the pO2 in the liver showed a distinct increase.

Assessment by reflection ultrasound method of the effect of intermittent slow-release sodium fluoride-calcium citrate therapy on material strength of bone

It has been suggested that fluoride therapy, while increasing bone mass, produces bone with inferior mechanical properties. In the present report this hypothesis was tested using a novel reflection ultrasound technique. Transiliac crest bone biopsies were obtained from 16 patients with osteoporosis and vertebral compression fractures (12 women and 4 men, mean age 56 years) before and after approximately 2 years of intermittent slow-release sodium fluoride therapy (25 mg twice a day) combined with continuous calcium citrate supplementation. Samples were analyzed by a reflection ultrasound method, which analyzes ultrasound velocity with a sample site resolution of 200 microns and thus provides a measure of the mechanical property of single trabeculae (material). For the group, mean fractional change in velocity increased 6.1 +/- 2.3% (SEM) from a mean value of 3303 +/- 80 to 3484 +/- 55 m/s (p = 0.028). A total of 13 patients (81%) demonstrated higher velocities after treatment. Thus reflection ultrasound analysis of bone appears to provide a sensitive means of assessing changes in the material property of bone. Furthermore, these results suggest that the treatment regimen utilized in these patients improves strength of bone at the material or trabecular level largely independently of change in bone mass. The combination therapy also increased spinal (L2-L4) bone density for the group as assessed by dual-photon absorptiometry (5.3 +/- 2.0%). There was no significant correlation between the change in ultrasound velocity and bone density (r = 0.0026, p = 0.996).(ABSTRACT TRUNCATED AT 250 WORDS)

New directions in medical imaging of cancer. Magnetic resonance methods and single photon emission computed tomography

Magnetic resonance methods and single photon emission computed tomography (SPECT) are developing technologies that provide both functional and anatomic information. Their role in the diagnosis and monitoring of cancer is the subject of current clinical research. Magnetic resonance imaging (MRI) delineates organs and tissue heterogeneities using differences in the relaxation parameters of water and fat protons; both protons and other nuclei can be imaged or studied by magnetic resonance spectroscopy (MRS) to provide information on the state of naturally occurring or infused molecules. SPECT quantifies the distribution of radiolabeled agents in tissues and organs; labeled monoclonal antibodies provide highly specific imaging of tumors. Spatial resolution is the limiting technologic factor. Proton MRI provides the highest current resolution, better than 1 mm in vivo in deep tissues, whereas the resolution of MRS and SPECT is limited to several cubic centimeters. Recent advances in these technologies have significantly increased their specificity and ability to detect small, deep lesions.

Effect of homonuclear J modulation on 19F spin-echo images

The effect of homonuclear J modulation on 19F spin-echo images is evidenced by a substantial reduction in signal when the echo time, TE, approaches 1/2J, with a subsequent increase in signal at longer TEs. Suppression of the J-modulation effect is demonstrated using chemical shift-selective 180 degrees refocusing pulses.

Exact solutions to the multiregion time-dependent bioheat equation. II: Numerical evaluation of the solutions

Analytic solutions to the time-dependent multiregion bioheat equation are evaluated numerically for cartesian and spherical models. Principle and alternate branch contributions to the solutions are examined. The calculations include a parametric investigation and analyses of temperature behaviour in idealised upper thigh and tumour models.

Exact solutions to the multiregion time-dependent bioheat equation. I: Solution development

Exact solutions are obtained to the classical time-dependent linear bioheat equation in one-dimensional multiregion cartesian and spherical geometries with temperature-invariant physiological parameters. These solutions enable the study of transient temperature behaviour in an arbitrary number of coupled physiologically distinct regions.

Dose distribution around a 3.0-mm type 6702 I-125 seed

The 3M Company recently produced a special version of the type 6702 seed for use in animal studies of ocular melanoma. The seed consists of a single I-125 impregnated ion exchange resin sphere encapsulated in a 3.0-mm-long titanium cylinder, as opposed to the normal 4.5-mm cylinder containing from three to five resin spheres. Monte Carlo simulations and measurements show that the dose distribution around the 3-mm capsule differs in places by up to 10% from that of the 4.5-mm seed. In addition, the two seed types differ by 12% in the ratio of dose in tissue along the transverse seed axis to apparent activity. These differences must be taken into account when using these seeds.

A novel editing technique for 19F MRI: molecule-specific imaging

A novel technique is proposed to facilitate the selective imaging of specific molecules from a mixture. The application of the technique presented here demonstrates the ability to selectively produce 19F MR images of either trifluoroacetic acid or the perfluorocarbon emulsion Oxypherol-ET (perfluorotributylamine), when both molecules are present simultaneously. Selective detection is based on the presence of homonuclear J-modulation in one molecule and differential spin-spin relaxation time (T2). Perfluorotributylamine, an A3B2 system, is subject to homonuclear J-modulation, which produces a null signal from the antiphase components of the triplet (A3) when an echo time (TE) = 1/2J is used in a spin-echo image. At this echo time the second molecule, in this example trifluoroacetic acid, a non-coupled spin system, is selectively imaged. At longer echo times, e.g., TE = 1/J there is substantial recovery of the J-modulated signal, which may be solely observed due to T2 decay of the trifluoroacetic acid signal. The method is demonstrated both using phantoms and in vivo.

Applications of magnetic resonance techniques to deep tumor hyperthermia

Magnetic resonance imaging and spectroscopy have the potential for supporting clinical hyperthermia advances in the treatment of deep tumors. Current spectroscopic techniques can monitor treatment delivery and effectiveness through changes in metabolism and blood flow. Spectra can be obtained in vivo, repetitively and noninvasively; furthermore, current techniques have been implemented to give spatially resolved information. Further advances in MRI/MRS techniques may make it possible to obtained the information necessary for individualized treatment planning, for qualitative monitoring and assessment of treatment results, and for the measurement of thermal fields in vivo.

Perfluorocarbon imaging in vivo: a 19F MRI study in tumor-bearing mice

Multiresonance perfluorocarbon emulsions (Oxypherol and Fluosol-DA) were imaged in tumor-bearing mice using 19F spin-echo magnetic resonance imaging in vivo. Multiple thin-slice fluorine images free of chemical shift artifacts were obtained in 13 minutes and these were correlated with proton images obtained during the same experiment to delineate the anatomic distribution of perfluorocarbons. Sequential images were used to determine the time course of the distribution and the retention of the compounds in tumors and organs. 19F MR spectroscopy was used ex vivo to determine with high sensitivity the relative concentration of perfluorocarbons in different tissues and organs and to confirm the results obtained from imaging experiments. The fluorine images visually demonstrated the preferential localization of the perfluorocarbons in the liver and spleen; shortly after injection, the images also revealed the highly vascularized tumor-chest wall interface. Imaging and spectroscopy together showed that the perfluorocarbons were removed from the blood pool within hours and remained sequestered in tissues at later times; the highest concentrations were found in the spleen and liver, where the agents were retained without spectral changes for the duration of these studies. The perfluorocarbons accumulated within tumors at dose-dependent concentrations, one to two orders of magnitude smaller than those observed in the spleen and liver.