Abstract
Direct measurements of arterial blood pressure most commonly use bulky external instrumentation containing a pressure transducer connected to an ex vivo fluid-filled arterial line, which is subject to several sensing artifacts. In situ blood pressure sensors, typically solid state piezoresistive, capacitive, and interferometric sensors, are unaffected by these artifacts, but can be expensive to produce and miniaturize. We have developed an alternative approach to blood pressure measurement based on deformation of an elastic tube filled with electrolyte solution. We have constructed an analytical model describing the deformation of a fluid-filled tube part of which is exposed to external pressure, with the remaining part unexposed. The model predicts pressure-induced change in dimension of the internal electrolyte-filled volume and a resultant change in its electrical resistance, which can be measured to determine the pressure and is the basis for the sensor operation. We have applied the model to find the pressure sensitivity of fractional change in resistance as a function of device material and dimensional parameters. Construction and testing of a device is described in the following paper.
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References
J.M. Abrams, A.J. Rudolph, The use of indwelling radial artery catheters in neonates. Pediatrics 55(2), 261–265 (1975)
F.J. Branicki, A.L. Ogilvie et al., Structural deterioration of prosthetic oesophageal tubes: an in vitro comparison of latex rubber and silicone rubber tubes. Br J Surg 68(12), 861–864 (1981)
L. Campeau, Percutaneous radial artery approach for coronary angiography. Catheter Cardiovasc Diagn 16(1), 3–7 (1989)
R.A. Chaer, S. Trocciola et al., Evaluation of the accuracy of a wireless pressure sensor in a canine model of retrograde-collateral (type II) endoleak and correlation with histologic analysis. J Vasc Surg 44(6), 1306–1313 (2006)
C.-C. Chiang, C.-C.K. Lin et al., An implantable capacitive pressure sensor for biomedical applications. Sensors and Actuators A-Physical 134, 382–388 (2007)
T.J. Chung, General Continuum Mechanics (Cambridge University Press, Cambridge, 2007)
International Electrotechnical Commission, IEC 60601-2-34 Ed. 2.0 b:2005, Medical electrical equipment - Part 2-34: Particular requirements for the safety, including essential performance, of invasive blood pressure monitoring equipment (American National Standards Institute, 2000)
J. Coosemans, R. Puers, An autonomous bladder pressure monitoring system. Sensors and Actuators a-Physical 123–24, 155–161 (2005)
T. Cuisset, C. Beauloye et al., In vitro and in vivo studies on thermistor-based intracoronary temperature measurements. Catheter Cardiovasc Interv 73, 224–230 (2009)
T. Eggers, J. Draeger et al, Wireless intra-ocular pressure monitoring system integrated into an artificial lens. Microtechnologies in Medicine and Biology, 1st Annual International, Conference On. 2000. Lyon, France, IEEE. (2000)
E.J. Hearn, Mechanics of Materials 1. Oxford, Butterworth-Heinemann. (1997)
L.D. Hillis, Percutaneous left heart catheterization and coronary arteriography using a femoral artery sheath. Catheter Cardiovasc Diagn 5(4), 393–399 (1979)
B.D. Hoit, N. Ball et al., Invasive hemodynamics and force frequency relationships in open- versus closed-chest mice. AJP-Heart 273, H2528–H2533 (1997)
R.A. Horne, R.P. Young, Electrical conductivity of aqueous 0.03 to 4.0 M potassium chloride solutions under hydrostatic pressure. J Phys Chem 71(12), 3824–3832 (1967)
Association for the Advancement of Medical Instrumentation, ANSI/AAMI BP22:1994 Blood Pressure Transducers, American National Standards Institute, (2006)
W.A. Kaplan, Modern Plastics Encyclopedia ’99. New York, McGraw-Hill. (1999)
J.G. Kohl, R.N. Bolstes, A study on the elastic modulus of silicone duplex or bi-layer coatings using micro-indentation. Progress in Organic Coatings 41(1–3), 135–141 (2001)
M. Leonardi, P. Leuenberger et al, A soft contact lens with a MEMS strain gage embedded for intraocular pressure monitoring. TRANSDUCERS, Solid-State Sensors, Actuators and Microsystems, 12th International Conference on, 2003, IEEE. (2003)
P.L. Marino, The ICU Book. Baltimore, Lippincott Williams & Wilkins. (1998)
A. Meir, D.S. McNally et al., The internal pressure and stress environment of the scoliotic intervertebral disc ‐ a review. Proc Inst Mech Eng H. 222(2), 209–219 (2008)
L. Mullins, N.R. Tobin, Stress softening in rubber vulcanizates. Part I. Use of a strain amplification factor to describe the elastic behavior of filler-reinforced vulcanized rubber. J Appl Polym Sci 9(9), 2993–3009 (1965)
A. Nair, B.D. Kuban et al., Coronary plaque classification with intravascular ultrasound radiofrequency data analysis. Circulation 106, 2200–2206 (2002)
N. Najafi, A. Ludomirsky, Initial animal studies of a wireless, batteryless, MEMS implant for cardiovascular applications. Biomedical Microdevices 6(1), 61–65 (2004)
R.W. Ogden, Non-linear elastic deformations. Mineola, Dover. (1997)
R.G. Pearse, Percutaneous catheterisation of the radial artery in newborn babies using transillumination. Arch Dis Child 53, 549–554 (1978)
J.E. Pope, Rules of thumb for mechanical engineers: a manual of quick, accurate solutions to everyday mechanical engineering problems (TX, Gulf Publishing Company, Houston, 1997)
J.A. Potkay, Long term, implantable blood pressure monitoring systems. Biomed Microdevices 10(3), 379–392 (2008)
J.J. Rook, Microbiological deterioration of vulcanized rubber. Appl Environ Microbiol 3(5), 302–309 (1955)
R. Schlierf, U. Horst et al., A fast telemetric pressure and temperature sensor system for medical applications. J Micromech Microeng 17(7), S98–S102 (2007)
U. Schnakenberg, C. Krüger et al., Intravascular pressure monitoring system. Sensors and Actuators A: Physical 110(1–3), 61–67 (2003)
R. Tan, T. McClure et al., Development of a fully implantable wireless pressure monitoring system, Biomed Microdevices. 11(1), 259–264 (2009)
M.R. Tofighi, U. Kawoos et al., Wireless intracranial pressure monitoring through scalp at microwave frequencies. Electron Lett 42(3), 148–150 (2006)
K. Totsu, Y. Haga et al., Ultra-miniature fiber-optic pressure sensor using white light interferometry. J Micromech Microeng 15, 71–75 (2005)
A.C. Ugural, S.K. Fenster, Advanced Strength and Applied Elasticity, Prentice-Hall. (2003)
P. Walter, U. Schnakenberg et al., Development of a completely encapsulated intraocular pressure sensor. Ophthalmic Research 32(6), 278–284 (2000)
A.S. Walton, H. Krum, The Heartpod implantable heart failure therapy system. Heart Lung Circ 14(Suppl 2), S31–S33 (2005)
Q. Wang, H.R. Brunner et al., Determination of cardiac contractility in awake unsedated mice with a fluid-filled catheter. Am J Physiol Heart Circ Physiol 286, H806–H814 (2004)
E.A. Wilder, S. Guo et al., Measuring the modulus of soft polymer networks via a buckling-based metrology. Macromolecules 39(12), 4138–4143 (2006)
C.-Y. Wu, W.-H. Liao et al., Integrated ionic liquid-based electrofluidic circuits for pressure sensing within polydimethylsiloxane microfluidic systems. Lab On a Chip 11, 1740–1746 (2011)
H.J. Yoon, J.M. Jung et al., Micro devices for a cerebrospinal fluid (CSF) shunt system. Sensors and Actuators a-Physical 110(1–3), 68–76 (2004)
D. Zhao, Y. Liao et al., Toxicity of ionic liquids. Clean 35(1), 42–48 (2007)
B. Ziaie, T.-W. Wu et al., An implantable pressure sensor cuff for tonometric blood pressure measurement. Biomed Microdevices 3(4), 285–292 (2001)
Acknowledgments
The authors would like to acknowledge the United States Army Telemedicine and Advanced Technology Research Center (TATRC) for financial support.
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Tan, R., Schulam, P. & Schmidt, J.J. Implantable electrolyte conductance-based pressure sensing catheter, I. Modeling. Biomed Microdevices 15, 1025–1033 (2013). https://doi.org/10.1007/s10544-013-9795-3
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DOI: https://doi.org/10.1007/s10544-013-9795-3