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First-pass measurements of regional blood flow with external detectors

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Abstract

A powerful, simple model has been developed for measuring regional blood flow using first-pass tracer kinetics with external detectors such as fast positron emission tomographs (PET). Its derivation is based on the hypothesis that during the first transit of a bolus of activity through an organ there exists a period during which the tracer has not left the region of interest, so that the venous concentration of the tracer is zero. Provided that this condition is met, measurement of blood flow can be obtained in any organ with any radiotracer since there are no requirements in the derivation of the model for diffusion or extraction characteristics of the tracer. The general model has been demonstrated for a special case in the heart using intravenous bolus injections of rubidium-82 with regional positron detectors (beta probes) and validated by comparison with independently determined for by labeled microspheres over a wide range of flow values from zero to five times normal resting coronary blood flow.
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More than 50% of tracer rubidium entering the coronary circulation is actively taken up by the heart muscle cells during a single passage. Rubidium ions must traverse the capillary wall, the interstitial space, and the muscle cell membrane to enter the very large potential rubidium pool within the cells. The aim of this investigation was to determine which, if any, of these steps are rate limiting. The anterior descending branch of the left common coronary artery was perfused at its origin. Pulse injections containing 86Rb+ , 22Na+ or 14C-sucrose, and 125I-albumin were made into the perfusion line and timed serial samples of coronary sinus blood were collected and analyzed. A model was designed which incorporates rate constants describing both the exchange of 80Rb+ at the capillary wall and its entry at the muscle cell membrane. Labeled sucrose or 22Na+ was used to determine flow per interstitial fluid volume, a parameter necessary for the application of the model. It was assumed that the interstitial fluid volume available for labeled sucrose or 22Na+ was identical to that available for 86Rb+ . The rate constant describing exchange at the capillary wall (the permeability surface product per unit accessible interstitial fluid volume) increased with perfusion, whereas that for uptake by the myocardial cells was relatively constant and independent of flow.
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Blood-tissue transport of 42 K, 8a Rb, and 22 Na was studied in perfused gracilis muscles of dogs to ascertain the influence of capillary wall, interstitial space, and muscle cell membranes on overall transport kinetics. Single-injection and continuous-infusion techniques were used, with T-1824 or 51 Cr-hemoglobin as nondiffusible references. Results were as follows: (1) Extraction (E) of the diffusible solutes was incomplete even in the earliest samples of venous outflow. (2) ERb equaled EK in the first few samples, but later, as both declined, the ratio of ERb to EK became less than one; stable ratios between 0.6 and 0.8 were established in different experiments. (3) ENa was initially slightly less than ERb or EK but declined much more sharply in successive samples. (4) Steady- state ERb and EK decreased with increasing blood flow but maintained a constant ratio. Vasomotion sometimes changed ERb and EK but had little effect on their ratio. Local anesthetics (procaine or cocaine) brought the ratio of ERb to EK closer to one. Analysis in terms of capillary and interstitial barriers, which do not discriminate between K, Rb, or Na, in series with a muscle cell membrane barrier, which does, leads to the following conclusions. (1) For K, the nondiscriminating barrier (mainly capillary wall) offeis about 70% of the total resistance to transport and the discriminating barrier (cell membrane) about 30%. (2) For Rb, each barrier offers half the total resistance. (3) The resting muscle cell membrane is 2.5 times more permeable to K than to Rb. Local anesthetics reduce cell permeability to both ions and decrease this ratio. (4) For Na, resistance at the capillary wall is about 1.3 times that for K or Rb. Resistance at the cell membrane is, of course, very much greater.
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To facilitate characterization of regional myocardial kinetics of positron-emitting tracers in vivo without distortion by activity outside the region of interest, a probe was developed and evaluated for monitoring radioactivity by detection of positrons themselves. These particles (beta particles) have a maximal range in tissue of only few millimeters rather than the larger range of gamma photons emitted as a result of positron annihiliation. Regional myocardial time-activity curves were determined in open-chest dogs after intracoronary injection of 0.5-1.5 mCi [15O]H2O, a tracer used for measurement of myocardial blood flow, or 6.0-8.0 mCi [11C]palmitate, a tracer used for noninvasive assessment of myocardial metabolism. Time-activity curves after [11C]palmitate injection clearly delineated specific components of myocardial tracer clearance previously identified in vitro in isolated perfused hearts. Myocardial washout of [15O]H2O was monoexponential for more than 2 min without distortion induced by recirculating tracer in ventricular blood. Reproducibility of measured tracer clearance rates during monoexponential clearance was high based on duplicate determinations for both tracers. The beta-detector probe developed overcomes several intrinsic limitations of gamma-probe systems or well counting of serial myocardial biopsies for studies of positron-emitting tracers in vivo and should facilitate assessment of factors of influencing tracer kinetics in vivo relevant to positron-emission tomography.
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Crone, C. The permeability of capillaries in various organs as deter-mined by use of the ‘Indicator Diffusion’ method. Acta physiol. scand. 1963. 58. 292—305. — The theory of a single injection technique, the ‘Indicator Diffusion’ method, for quantitative studies of capillary permeability is developed. It is shown that the permeability of a capillary area can be expressed by three parameters: the initial extraction (E) of test substances added in a single injection to the blood flowing to an organ, the blood flow (Q) and the surface area (A) of the capillaries. The equation relating these figures is: P = (=/A) × loge1/(1—E). The permeability coefficients of capillaries in kidney, liver, lung, brain and hind limb to inulin and sucrose are reported. It is found that the permeability of capillaries varies considerably from organ to organ. It is questioned whether the pore model adequately describes the functional characteristics of the capillaries in the muscles. The existence of pores should result in a pronounced deviation of the ratio between the permeability coefficients for sucrose and inulin from the ratio between the free diffusion coefficients. This was not found to be the case.
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