Circulation-time models of the uptake of inhaled anaesthetics and data for quantifying them.

Conventional compartmental models of the uptake and distribution of inhaled anaesthetics assume that blood moves from lungs to tissues and from tissues back to lungs in zero time. Three new models which incorporate alternative representations of the finite time actually taken have been constructed in terms of Algol programs for a digital computer. It is shown that the conventional approach causes systematic errors in the computed uptake of low-solubility agents, in the arterial tension of high-solubility agents, and in the tissue tensions of all agents. The errors are important in the first minute or two of administration or recovery. The conventional distribution of blood volume between compartments is shown to be in error and to cause even greater systematic errors in computed results. Three different published distributions of tissue volume and cardiac output give different computed results and a "preferred" distribution is suggested.

[1]  Persejrsen Blood Flow in Cutaneous Tissue in Man Studied by Washout of Radioactive Xenon , 1969 .

[2]  A KEYS,et al.  Density of body fat in man and other mammals. , 1953, Journal of applied physiology.

[3]  W. Mapleson,et al.  A comparison of in-vivo and in-vitro partition coefficients for halothane in the rabbit. , 1972, British journal of anaesthesia.

[4]  K. Michelsen Hemodynamics of the bone marrow circulation. , 1968, Acta physiologica Scandinavica.

[5]  D. Waud,et al.  Calculated kinetics of distribution of nitrous oxide and methoxyflurane during intermittent administration in obstetrics. , 1970, Anesthesiology.

[6]  M. Brookes A measurement of the rates of blood flow, circulating red cell volume and velocity in bone marrow and cortex. , 1968, Acta anatomica.

[7]  R. E. Peterson,et al.  Solubility of carbon dioxide, krypton, and xenon in lipids. , 1963, Journal of pharmaceutical sciences.

[8]  W. Perl,et al.  Intertissue diffusion effect for inert fat-soluble gases. , 1965, Journal of applied physiology.

[9]  W. Kane Fundamental concepts in bone-blood flow studies. , 1968, Journal of Bone and Joint Surgery. American volume.

[10]  G. Lee,et al.  Velocity Profiles in the Main Pulmonary Artery of Dogs and Man, Measured with a Thin‐Film Resistance Anemometer , 1970, Circulation research.

[11]  Weight gain from simple overeating. I. Character of the tissue gained. , 1955, Metabolism: clinical and experimental.

[12]  W. Mapleson INERT GAS-EXCHANGE THEORY USING AN ELECTRIC ANALOGUE. , 1964, Journal of applied physiology.

[13]  F. P. Patterson,et al.  Bone blood flow in the limb following complete sciatic nerve section. , 1966, Surgery, gynecology & obstetrics.

[14]  M. Nutt,et al.  Bone‐marrow blood flow and cardiac output in the rabbit , 1962, The Journal of physiology.

[15]  C. Hyman Concept of a dual circulation , 1961 .

[16]  W. Mapleson The rate of uptake of halothane vapour in man. , 1963, British journal of anaesthesia.

[17]  Cerebral circulation studied with labelled red cells in healthy males. , 1961, Acta radiologica.

[18]  P. Sejrsen Blood Flow in Cutaneous Tissue in Man Studied by Washout of Radioactive Xenon , 1969, Circulation research.

[19]  A. R. Behnke,et al.  THE SPECIFIC GRAVITY OF HEALTHY MEN: BODY WEIGHT ÷ VOLUME AS AN INDEX OF OBESITY , 1942 .

[20]  Blood Volumes BLOOD VOLUMES , 1962 .

[21]  E. Eger,et al.  EFFECT OF UNEVEN PULMONARY DISTRIBUTION OF BLOOD AND GAS ON INDUCTION WITH INHALATION ANESTHETICS. , 1964, Anesthesiology.

[22]  A. Calabrese Report of Committee II on Permissible Dose for Internal Radiation (1959) , 1960 .

[23]  Human standard and maximal metabolic rate in relation to fat-free body mass. , 1956, Acta physiologica Scandinavica. Supplementum.

[24]  M. Sackner,et al.  DETERMINATION OF TISSUE VOLUME AND CARBON DIOXIDE DISSOCIATION SLOPE OF THE LUNGS IN MAN. , 1964, Journal of applied physiology.

[25]  N. Shock,et al.  Changes in Cardiac Output with Age , 1955, Circulation.

[26]  A. Keys,et al.  Body fat in adult man. , 1953, Physiological reviews.

[27]  F. Sim,et al.  Relationship of bone remodeling, oxygen consumption, and blood flow in bone. , 1970, The Journal of bone and joint surgery. American volume.

[28]  H. H. Borgstedt,et al.  Tissue weights and rates of blood flow in man for the prediction of anesthetic uptake and distribution. , 1971, Anesthesiology.

[29]  W. Perl,et al.  Simultaneous uptake of N2O and cyclopropane in man as a test of compartment model. , 1965, Journal of applied physiology.

[30]  J. Cumming,et al.  A study of blood flow through bone marrow by a method of venous effluent collection , 1962, The Journal of physiology.

[31]  D. L. Bowers,et al.  The effects of changes in cardiac output and distribution on the rate of cerebral anesthetic equilibration. Calculations using a mathematical model. , 1968, Anesthesiology.

[32]  M. N. Ashman,et al.  A Nonlinear Model for the Uptake and Distribution of Halothane in Man , 1970, Anesthesiology.

[33]  N. T. Smith,et al.  Interaction between the circulatory effects and the uptake and disribution of halothane: use of a multiple model. , 1972, Anesthesiology.

[34]  M. Peng,et al.  Prediction of blood volume and adiposity in man from body weight and cube of height. , 1956, Metabolism: clinical and experimental.

[35]  J. Alpert,et al.  Effect of intravenous epinephrine on skeletal muscle, skin, and subcutaneous blood flow. , 1969, The American journal of physiology.

[36]  N. T. Smith,et al.  Multiple model approach to uptake and distribution of halothane: the use of an analog computer. , 1972, Computers and biomedical research, an international journal.

[37]  N. Petrakis,et al.  The local blood flow in human bone marrow in leukemia and neoplastic diseases as determined by the clearance rate of radioiodide (I131). , 1953, The Journal of clinical investigation.

[38]  E. D. Cyan Handbook of Chemistry and Physics , 1970 .

[39]  H. Semb Bone marrow blood flow studied by iodoantipyrine clearance technique. , 1971, Surgery, gynecology & obstetrics.

[40]  H. Birkhahn,et al.  A Complication following epidural anesthesia , 1961, Anesthesia and analgesia.

[41]  R. Forster,et al.  Determination of pulmonary parenchymal tissue volume and pulmonary capillary blood flow in man , 1959 .

[42]  M. Brookes Arteriolar blockade: a method of measuring blood flow rates in the skeleton. , 1970, Journal of anatomy.

[43]  H. O. Wheeler,et al.  The splanchnic circulation time. , 1955, Transactions of the Association of American Physicians.

[44]  Richard J. Kitz,et al.  Uptake and distribution of anesthetic agents , 1963 .

[45]  H. H. Borgstedt,et al.  Digital computer prediction of the optimal anaesthetic inspired concentration. , 1972, British journal of anaesthesia.

[46]  S. Mizuno,et al.  Rate of the blood flow in the femoral head. aA new measuring procedure and its clinical evaluation. , 1966, Medical journal of Osaka University.

[47]  C. Lambertsen,et al.  Alterations in the pulmonary capillary bed during early O2 toxicity in man. , 1968, Journal of applied physiology.

[48]  W. Kane,et al.  Blood flow to canine hind-limb bone, muscle, and skin. A quantitative method and its validation. , 1969, The Journal of bone and joint surgery. American volume.

[49]  B. Hills Duffision versus blood perfusion in limiting the rate of uptake of inert non-polar gases by skeletal rabbit muscle. , 1967, Clinical science.

[50]  H. Krzywicki,et al.  Density, fat, water and solids in freshly isolated tissues. , 1959, Journal of applied physiology.

[51]  O. Edholm,et al.  Heart failure and bone blood flow in osteitis deformans. , 1945, Clinical science.

[52]  P. Kelly,et al.  Blood flow in canine tibial diaphysis estimated by iodoantipyrine- 125 I washout. , 1971, Journal of applied physiology.