Abstract
The application of electromagnetic induction to the measurement of blood flow and blood velocityin vivo is reviewed. The electronics requirements are discussed and the associated problems are surveyed. An account is given of Bevir's virtual-current theory and its application to various flow and velocity measuring devices. The devices at present known to be in use or under development are reviewed under the following headings: invasive local-magnetic-field devices, which include cannular and perivascular flowmeters; intravascular velometers and flowmeters, invasive extracorporeal field perivascular and intravascular flowmeters; and noninvasive systems which either utilise skin electrodes and a separate extracorporeal magnet or comprise an integral extracorporeal flowmeter. There is a brief discussion of the present state of development
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References
Arnold, J. S. (1951) An electromagnetic flowmeter for transient flow studies.Rev. Sci. Instrum.,22, 43–47.
Astley, C. A., Hohimer, A. R., Stephenson, R. B., Smith, O. A. andSpelman, F. A. (1979) Effect of implant duration onin vivo sensitivity of electromagnetic flow transducers.Am. J. Physiol.,236, H508-H512.
Baker, R. C. (1968) Solutions of the electromagnetic flowmeter equation for cylindrical geometries.J. Phys.,D-1, 895–899.
Banis, J. C., Schwartz, K. S. andAcland, R. D. (1980) Electromagnetic flowmetry—an experimental method for continuous blood flow measurement using a new island flap model.Plastic & Reconstr. Surg.,66, 534–544.
Barer, G. R., Bee, D. andWach, R. A. (1983) Contribution of polycythemia to pulmonary hypertension in simulated high altitude in rats.J. Physiol.,336, 27–38.
Beck, R., Morris, J. A. andAssali, N. S. (1965) Calibration characteristics of the pulsed-field electromagnetic flowmeter.Am. J. Med. Electronics,4, 87–91.
Bergel, D. andMakin, G. (1968) Experience with calibration procedures. InNew findings in blood flowmetry,Cappelen,C. (Ed.), Universitetsforlaget, Oslo, 99–103.
Bevir, M. K. (1970) The theory of induced voltage electromagnetic flowmeters.J. Fluid Mech.,43, 577–590.
Bevir, M. K. (1971a) Long induced voltage electromagnetic flowmeters and the effect of velocity profile.Q. J. Mech. Appl. Math.,XXIV, 347–372.
Bevir, M. K. (1971b) The predicted effect of red blood cells on electromagnetic flowmeter sensitivity.J. Phys.,D-4, 387–399.
Bevir, M. K. (1971c) Sensitivyt of electromagnetic velocity probes.Phys. Med. Biol.,16, 229–232.
Bevir, M. K. (1972) The effect of conducting pipe connections and surrounding liquid on the sensitivity of electromagnetic flow-meters.J. Phys.,D-5, 717–729.
Bevir, M. K., O'Sullivan, V. T. andWyatt, D. G. (1981) Computation of electromagnetic flowmeter characteristics from magnetic field data.——Ibid.,D-14, 373–388.
Boccalon, H. J. L., Candelon, B. J. L., Tillie, J. J., Graulle, A., Doll, H. G., Puel, P. F. andEnjalbert, A. P. (1976) New non-invasive device of pulsatile blood flow measurement. 11th International Conference on Medical and Biological Engineering, Ottawa, 428–429.
Boccalon, H. J. L., Candelon, B. J. L., Doll, H. G., Puel, P. F. andEnjalbert, A. P. (1978) Non-invasive electromagnetic measurement of the peripheral pulsatile blood flow.Cardiovasc. Res.,12, 66–68.
Boccalon, H. J. L., Lozes, A., Newman, W. andDoll, H. G. (1982) Noninvasive electromagnetic blood flowmeters: Theoretical aspeets and technical evaluation.Med. & Biol. Eng. & Comput.,20, 671–680.
Bond, R. F. andBarefoot, C. A. (1967) Evaluation of an electromagnetic catheter tip velocity-sensitive blood flow probe.J. Appl. Physiol.,23, 403–409.
Buchanan, J. W. andShabetai, R. (1972) True power dissipation of catheter tip velocity probes.Cardiovasc. Res.,6, 211–213.
Calvert, M. H., Pullan, B. R. andBone, D. E. (1975) A simple method for measuring the frequency response of an electromagnetic flowmeter.Med. & Biol. Eng.,13, 592–593.
Campbell, A. G. M., Dawes, G. S., Fishman, A. P., Hyman, A. I. andJames, G. B. (1966) The oxygen consumption of the placenta and foetal membranes in the sheep.J. Physiol.,182, 439–464.
Cappelen, C. andHall, K. V. (1967) Electromagnetic blood flowmetry in clinical surgery.Acta. Chir. Scand, Suppl., 368.
Cave, F. D., Franklin, J. andPatel, P. L. (1978) Comparison of methods for the dynamic calibration of electromagnetic flow-meters.Med. & Biol. Eng. & Comput.,16, 51–58.
Chandran, K. B., Swanson, W. M. andGhista, D. N. (1974) Oscillatory flow in thin-walled curved elastic tubes.Ann. Biomed. Eng.,2, 392–412.
Clark, D. M. andWyatt, D. G. (1968) The effect of magnetic field inhomogeneity on flowmeter sensitivity. InNew findings in blood flowmetry,Cappelen,C. (Ed.), Universitetsforlaget, Oslo, 49–53.
Clark, D. M. andWyatt, D. G. (1969) An improved perivascular electromagnetic flowmeter.Med. & Biol. Eng.,7, 185–190.
Consigny, P. M. andBaltaxe, H. A. (1980) Measurement of blood vessel diameter and blood flow with an intravascular electromagnetic flowmeter.Investig. Radiol.,15, 396.
Conti, F., Stefanoni, G. andDonadelli, G. (1976) A new method for measuring venous flow with the aid of an electromagnetic flowmeter.J. Cardiovasc. Surg.,17, 363–367.
Corver, J. A. W. M., Kuiken, G. D. C., van der Mark, F. andJansen, T. C. (1983) Response to pulsatile flow of a miniaturised electromagnetic blood flow sensor studied by means of a laser-Doppler method.Med. & Biol. Eng. & Comput.,21, 430–437.
Cox, T. J. (1979) The design and evaluation of electromagnetic flowmeters. D.Phil. thesis, University of Oxford.
Cox, T. J. andWyatt, D. G. (1984) An electromagnetic flowmeter with insulated electrodes.J. Phys.,E-17, (in press).
Dedichen, H. (1974) Measurement of arterial blood flow during surgery.Acta. Chir. Scand.,140, 363–369.
Denison, A. B., Spencer, M. P. andGreen, H. D. (1955) A square wave electromagnetic flowmeter for application to intact blood vessels.Circ. Res.,3, 39–46.
Dennis, J. andWyatt, D. G. (1969) The effect of haematocrit value upon electromagnetic flowmeter sensitivity.——Ibid.,,24, 875–885.
Edgerton, R. H. (1968) The effect of arterial wall thickness and conductivity on electromagnetic flowmeter readings.Med. & Biol. Eng.,6, 627–636.
Edgerton, R. H. (1975) Radial conductivity of arterial walls. ——Ibid.,13, 531–534.
Elliott, S. E., Hoffman, J. I. E. andGuz, A. (1963) An electromagnetic flowmeter for simultaneous measurements of pulmonary arterial and aortic blood flows in the conscious animal.Med. Electron. Biol. Eng.,1, 323–331.
Fabré, P. (1932) Utilisation des forces electromotrices d'induction pour l'enregistrement des variations de vitesse des liquides conducteurs: un nouvel hemodromograph sans palette dans le sang.C.R. Acad. Sci. Paris,194, 1097–1098.
Ferguson, D. J. andLandahl, M. D. (1966) Magnetic meters: effects of electrical resistance in tissues on flow measurements, and an improved calibration for square-wave circuits.Circ. Res.,19, 917–929.
Gabe I. T., Gault, J. H., Ross, J., Mason, D. T., Mills, C. J., Shillingford, J. P. andBraunwald, E. (1969) Measurement of instantaneous blood flow velocity and pressure in conscious man with a catheter-tip velocity probe.Circulation,XL, 603–614.
Gasking, J. D. (1972) Measurement of blood flow using an extracorporeal magnetic field. InBlood flow measurement,Roberts,V. C. (Ed.), Sector Publishing, London, 98–100.
Gessner, U. (1961) Effects of the vessel wall on electromagnetic flow measurement.Biophys. J.,1, 627–637.
Gessner, U. andBergel, D. H. (1964) Frequency response of electromagnetic flowmeters.J. Appl. Physiol.,19, 1209.
Goodman, A. H. (1969) A transistorized squarewave electromagnetic flowmeter.Med. & Biol. Eng.,7, 115–141.
Hemp, J. (1975) Improved magnetic field for an electromagnetic flowmeter with point electrodes.J. Phys.,D-8, 983–1002.
Hemp, J. andWyatt, D. G. (1981) A basis for comparing the sensitivities of different electromagnetic flowmeters to velocity distribution.J. Fluid Mech.,112, 189–201.
Henderson, J. D. (1974) Solution of the quadrature field equations in the electromagnetic blood flowmeter.Med. & Biol. Eng.,12, 626–632.
Hill, R. D. (1982) A rapid technique for dynamic calibration of electromagnetic flowmeters.J. Appl. Physiol.,53, 294–296.
Hofmann, F. (1978) Magnetic flowmeter with capacitive signal pick-off. InThe flow measurement of fluids,Dijstelberjen,H. H. andSpencer,E. A. (Eds.), North-Holland, Amsterdam, 493–497.
Hognestad, H. (1966) Square wave electromagnetic flowmeter with improved baseline stability.Med. Res. Eng.,5, (3), 28–33.
Hognestad, H. (1968) Some problems in square-wave electromagnetic flowmeter system design. InNew findings in blood flowmetry,Cappelen,C. (Ed.), Universitetsforlaget, Oslo, 55–59.
James, W. G. (1951) An induction flowmeter design suitable for radioactive liquids.Rev. Sci. Instrum.,22, 989–1002.
Jewitt, D., Gabe, I., Mills, C., Maurer, B. Thomas, M. andShillingford, J. (1974) Aortic velocity and acceleration measurements in the assessment of coronary heart disease.Eur. J. Cardiol.,1, 299–305.
Jones, M andWyatt, D. G. (1970) Temperature rise of electromagnetic velocity probes.Cardiovasc. Res.,4, 388–397.
Kanai, H. (1969) The effects upon electromagnetic flowmeter sensitivity of non-uniform fields and velocity profiles.Med. & Biol. Eng.,7, 661–676.
Kanai, H., Yamano, E., Nakayama, K., Kawamura, N. andFuruhata, H. (1974) Transcutaneous blood flow measurement by electromagnetic induction.IEEE Trans.,BME-21, 144–151.
Kolin, A. (1944) Electromagnetic velometry. I. A method for the determination of fluid velocity in space and time.J. Appl. Phys.,15, 150–164.
Kolin, A. (1952) Improved apparatus and technique for electromagnetic determination of blood flow.Rev. Sci. Instrum.,23, 235–242.
Kolin, A., Assali, N., Herrold, G. andJensen, R. (1957) Electromagnetic determination of regional blood-flow in unanaesthetized animals.Proc. Nat. Acad. Sci. USA,43, 527–540.
Kolin, A. (1960) Blood flow determination by electromagnetic method. InMedical physics, Vol. 3,Glasser, O. (Ed.), Year Book Publishers, Chicago, 141–155.
Kolin, A., Archer, J. D. andRoss, G. (1967) An electromagnetic catheter flowmeter.Circ. Res.,XXI, 889–899.
Kolin, A., Ross, G., Grollman, J. H. andArcher, J. (1968) An electromagnetic catheter flowmeter for determination of blood flow in major arteries.Proc. Nat. Acad. Sci. USA,59, 808–815.
Kolin, A. (1969a) A radial electromagnetic intravascular flow sensor.IEEE Trans.,BME-16, 220–221.
Kolin, A. (1969b) A new principle for electromagnetic catheter flowmeters.Proc. Nat. Acad. Sci. USA63, 357–363.
Kolin, A. (1969c) A new approach to electromagnetic flood flow determination by means of a catheter in an external magnetic field.——Ibid.,,65, 521–527.
Kolin, A., Grollman, J. H., Steckel, R. J. andSnow, H. D. (1970) Determination of arterial blood flow by percutaneously introduced flow sensors in an external magnetic field. I. The method.——Ibid.,67, 1769–1774.
Kolin, A., Grollman, J. H., Steckel, R. J. andSnow, H. D. (1971) Determination of arterial blood flow by percutaneously introduced flow sensors in an external magnetic field. II. Implementation of the methodin vivo.——Ibid.,68, 29–33.
Kolin, A., MacAlpin, R. N., Snow, H. D. andLenz, M. W. (1972) External field electromagnetic method of blood flow. An alternative approach to the solution of the baseline problem.Pflügers Arch.,337, 257–263.
Kolin, A., Steele, J. R., Imai, J. S. andMacAlpin, R. N. (1974) A constant-field interrupted resonance system for percutaneous electromagnetic measurement of blood flow.Proc. Nat. Acad. Sci. USA,71, 1294–1298.
Kolin, A., Steele, J. R., Imai, J. S., MacAlpin, R. N., Coster, I. R. andSnow, H. D. (1976a) Extracoreal magnetic perivascular electromagnetic flow meters.Pflügers Arch.,326, 279–283.
Kolin, A., MacAlpin, R. N. andSteckel, R. J. (1976b) Simultaneous percutaneous observation of arterial blood flow and vasomotion by electromagnetic loop sensors.Circulation,54, (4), 82.
Kolin, A. (1977) A system for intravascular radially orientation-independent electromagnetic flow and diameter sensing.Pflügers Arch.,372, 109–111.
Kolin, A. (1980) Absolute induction angiometer.Blood Vessels,17, 61–77.
Kramer, K., Lochner, W. andWetterer, E. (1963) Methods of measuring blood flow. InHandbook of Physiology, Vol. 2, 2nd edn., American Physiological Society, Washington DC, 1277–1324.
MacAlpin, R. N., Kolin, A. andStein, J. J. (1976) External field intravascular electromagnetic flowmeter system as applied to standard arteriographic catheters and conscious humans.Catheter. & Cardiovasc. Diag.,2, 23–27.
McDonald, D. A. (1974)Blood flow in arteries. Edward Arnold. London.
Meshcherskii, E. L. andMel'kumyants, A. M. (1981) Technique for dynamic calibration of electromagnetic flowmeters.Bull. Exp. Biol. & Med.,92, 1005–1007.
Mills, C. J. (1966) A catheter tip electromagnetic velocity probe.Phys. Med. Biol.,11, 323–324.
Mills, C. J. andShillingford, J. P. (1967) A catheter tip electromagnetic velocity probe and its evaluation.Cardiovasc. Res.,1, 263–273.
Mills, C. J. (1972) Measurement of pulsatile flow and flow velocity. InCardiovascular fluid dynamics, Vol. 1,Bergel, D. H. (Ed.), Academic Press, London, 51–90.
Mills, C. J. (1977) The electromagnetic flowmeter.Med. Instrum.,11, 136–138.
Murgo, J. P., Giolma, J. P. andAltobelli, S. A. (1977) Physiologic signal acquisition and processing for human haemodynamic research in a clinical cardiac-catheterization laboratory.Proc. IEEE.,65, 696–702.
Neuwirth, J. G. andRawlings, C. A. (1979) Calibration and use of electromagnetic flow transducers.Am. J. Vet. Res.,40, 1659–1661.
Nichols, W. W., Pepine, C. J., Conti, C. R., Christie, L. G. andFeldman, R. (1980) Evaluation of a new catheter-mounted velocity sensor during cardiac catheterization.Catheter. & Cardiovasc. Diag.,6, 97–113.
Nigra, C. A. L., Andrews, D. F. andMcKee, N. H. (1981) Quantitative assessment of low blood flow using an electromagnetic flowmeter.J. Surg. Res.,31, 201–209.
Okai, O., Togawa, T. andOshima, M. (1971) Magnetorheography: nonbleeding measurement of blood flow.J. Appl. Physiol.,30, 564–566.
O'Sullivan, V. T. (1982) Effect of blood vessels on electromagnetic flowmeter sensitivity.Phys. Med. Biol.,27, 277–284.
O'Sullivan, V. T. (1983) Performance of an electromagnetic flowmeter with six point electrodes.J. Phys.,E-16, 1183–1188.
O'Sullivan, V. T. andWyatt, D. G. (1983) Computation of electromagnetic flowmeter characteristics from, magnetic field data: III. Rectilinear weight functions.——Ibid.,D-16, 1461–1476.
O'Sullivan, V. T. (1983) theoretical sensitivity of perivascular electromagnetic flowmeters deduced from the distribution of an applied inter-electrode potential.Phys. Med. Biol.,28, 973–981.
Rajagopalan, B., Friend, J. A., Stallard, T. andLee, G. de J. (1979) Blood flow in pulmonary veins: I Studies in dog and man.Cardiovasc. Res.,13, 667–676.
Roberts, V. C. (1969) Haematocrit variations and electromagnetic flowmeter sensitivity.Bio-Med. Eng.,4, 408–412.
Roberts, V. O. (Ed.) (1972)Blood flow measurement. Sector Publishing, London.
Rummel, T. andKetelsen, B. (1966) Inhomogeneous magnetic field enables inductive flow measurement of all practical flow profiles.Regelungstechnik,6, 262–267.
Salles-Cunha, S. X., Battocletti, J. H. andSances, A. (1980) Steady magnetic fields in noninvasive electromagnetic flowmetry.Proc. IEEE,68, 149–155.
Saxena, P. R., van Boom, M., van Doorn, K. andCairo-Rawlins, W. I. (1980) Electromagnetic flow-proble implantation for cardiac output measurements in rabbits.J. Pharm. Met.,3, 125–134.
Schabert, A., Bauer, R. D., Busse, R. andSumma, Y. (1978) The frequency response of electromagnetic flowmeters by means of a Hall-probe.Pflügers Arch.,377, 105.
Schultz, D. L. (1972) Pressure and flow in large arteries. InCardiovascular fluid dynamics,Bergel,D. H. (Ed.), Academic Press, New York, 287–314.
Seed, W. A. andWood, N. B. (1971) Velocity patterns in the aorta.Cardiovasc. Res.,5, 318–330.
Sellers, A. F. andDobson, A. (1967) Some applications and limiations of electromagnetic blood flow measurement in chronic animal preparations.Gastroenterology,52, 374–378.
Shercliff, J. A. (1954) Relation between the velocity profile and the sensitivity of electromagnetic flowmeters,J. Appl. Phys.,25, 817.
Shercliff, J. A. (1962)The theory of electromagnetic flowmeasurement. University Press, Cambridge.
Solanki, D. andRoberts, V. C. (1976) Accuracy of electromagnetic blood flow measurements on atheromatous arteries.In Digest of the 11th International Conference in Medical and Biological Engineering, Ottawa, 424–425.
Sonnenfeld, T. (1982) Electromagnetic flowmetry for intraoperative monitoring.VASA,11, 178–182.
Spencer, M. P. andDenison, A. B. (1960) Squarewave electromagnetic flowmeter for surgical and experimental application.Meth. Med. Res.,8, 321–341.
Stein, P. D. andSchuette, W. H. (1969) New catheter tip flowmeter with velocity flow and volume flow capabilities.J. Appl. Physiol.,26, 851–856.
Terry, H. J. (1981) The electromagnetic flowmeter. InMethods in angiology,Verstraete,M. (Ed.), Martinus Nijhoff, The Hague, Chap. 2, 21–37.
Togawa, T., Okai, O. andOshima, M. (1967) Observation of blood flow EMF in externally applied, strong magnetic field by surface electrodes.Med. & Biol. Eng.,5, 169–170.
Tranquilli, W. J., Manohar, M., Thurmon, J. C., Benson, G. J., Shawley, R. V. andFeller, D. L. (1981) Surgical technique and considerations for implantation of electromagnetic blood flow transducer and occluder into the coronary arteries.Am. J. Vet. Res.,42, 892–895.
Uther, J. B., Peterson, K. L., Shabetai, R. andBraunwald, E. (1973) Measurement of ascending aortic flow patterns in man.J. Appl. Physiol.,34, 513–518.
van der Schee, E. J., de Bakker, J. V. andZwamborn, A. W. (1981) Transducer forin vivo measurements of the inner diameter of arteries in laboratory animals.Med. & Biol. Eng. & Comput.,19, 218–222.
Vavilov, O. S., Vel't, I. D., Neimark, F. P. andYastrebov, V. N. (1980) Metrological investigation of the method for calibrating and testing electromagnetic flowmeters without a liquid.Meas. Tech. USSR,23, 1106–1108.
Warbasse, J. R., Hellman, B. H., Gillilan, R. E., Hawley, R. R. andBabbitt, H. I. (1969) Physiologic evaluation of a catheter tip electromagnetic velocity probe. A new instrument.Am. J. Cardiol.,23, 424–433.
Westersten, A. S. (1967) Apparatus and process for measuring fluid flow. US Patent 3316762.
Wetmore, O. E. (1956) Helmholtz coil tests magnetic flowmeters.Electronics,29, 252–266.
Wexler, L., Bergel, D. H., Gabe, I. T., Makin, G. S. andMills, C. J. (1968) Velocity of blood flow in normal human venae cavae.Circ. Res.,XXIII, 349–359.
Williams, B. T., Rickards, A. F., Chamberlain, A. H. andMullins, A. (1976a) Cardiac output in cardiac surgical practice. InClinical blood flow measurement,Woodcock,J. (Ed.), Sector Publishing, London, 97–102.
Williams, B. T., Rickards, A. F., Wright, J. C. andBarefoot, C. A. (1976b) Post-operative blood flow in aorto-coronary saphenous vein bypass grafts. InClinical blood flow measurements,Woodcock,J. (Ed.), Sector Publishing, London, 126–130.
Wyatt, D. G. (1961a) Problems in the measurement of blood flow by magnetic induction.Phys. Med. Biol.,5, 289–320, 369–431.
Wyatt, D. G. (1961b) Some notes on flow generators.——Ibid.,6, 319–323.
Wyatt, D. G. (1961c) A 50 c/s cannulated electromagnetic flowmeter.Electronic Eng.,33, 650–655.
Wyatt, D. G. (1964a) Electromagnetic flowmeter for use with intact vessles.J. Physiol.,173, 8P.
Wyatt, D. G. (1964b) Directional property of electrode surfaces.Nature,204, 1294–1295.
Wyatt, D. G. (1966a) Baseline errors in cuff electromagnetic flowmeters.Med. & Biol. Eng.,4, 17–45.
Wyatt, D. G. (1966b) Noise in electromagnetic flowmeters.——Ibid.,4, 333–347.
Wyatt, D. G. (1968a) Dependence of electromagnetic flowmeter sensitivity upon encircled media.Phys. Med. Biol.,13, 529–534.
Wyatt, D. G. (1968b) The electromagnetic blood flowmeter.J. Sci. Instrum.,1, 1146–1152.
Wyatt, D. G. (1968c) The design of electromagnetic flowmeter heads. InNew findings in blood flowmetry,Cappelen,C. (Ed.), Universitetsforlaget, Oslo, 69–74.
Wyatt, D. G. (1971) Electromagnetic blood-flow measurement. InIEEE Medical Electronics Monographys 1–6,Watson, B. W. (Ed.), Peter Peregrinus, London, 181–243.
Wyatt, D. G. (1972) Velocity profile effects in electromagnetic flowmeters. InBlood flow measurement,Roberts,V. C. (Ed.), Sector Publishing, London, 85–92.
Wyatt, D. G. (1977) Theory, design and use of electromagnetic flowmeters. InCardiovascular flow dynamics and measurements,Hwang,N. H. C. andNormann,N. A. (Eds.), University Park Press, Baltimore, 89–149.
Wyatt, D. G. (1982) Computation of electromagnetic flowmeter characteristics from magnetic field data: II. Errors.J. Phys.,D-16, 465–478.
Yanof, H. M. andSalz, P. (1961) A trapezoidal-wave electromagnetic blood flowmeter.J. Appl. Physiol.,16 566–570.
Zaretskil, L. I. andGartman, A. K. (1980) Installation with a set of reference electromagnetic flowmeters.Meas. Techniques USSR,23, 1100–1103.
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Wyatt, D.G. Blood flow and blood velocity measurementin vivo by electromagnetic induction. Med. Biol. Eng. Comput. 22, 193–211 (1984). https://doi.org/10.1007/BF02442744
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DOI: https://doi.org/10.1007/BF02442744