메뉴 건너뛰기




Volumn 69, Issue 7, 2007, Pages 2181-2198

A mathematical model of valveless pumping: A lumped model with time-dependent compliance, resistance, and inertia

Author keywords

Frequency; Lumped model; Pulsewave speed; Time dependent resistance; Valveless pumping

Indexed keywords

ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; COMPLIANCE (PHYSICAL); ELASTICITY; FLOW KINETICS; HEART; HEART VALVE; HUMAN; PHYSIOLOGY; PULSATILE FLOW; RESUSCITATION; VASCULAR RESISTANCE; VISCOSITY;

EID: 34548688011     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-007-9208-y     Document Type: Article
Times cited : (23)

References (22)
  • 1
    • 3042599749 scopus 로고    scopus 로고
    • An analytic approach to the Liebau problem of valveless pumping
    • Auerbach, D., Moehring, W., Moser, M. 2004. An analytic approach to the Liebau problem of valveless pumping. Cardiovasc. Eng. Int. J. 4, 201.
    • (2004) Cardiovasc. Eng. Int. J. , vol.4 , pp. 201
    • Auerbach, D.1    Moehring, W.2    Moser, M.3
  • 6
    • 0023236534 scopus 로고
    • Sequence of mitral valve motion and transmitral blood flow during manual cardiopulmonary resuscitation in dogs
    • 2
    • Feneley, M.P., Maier, G.M., Gaynor, J.W., Gall, S.G., Kisslo, J.K., Davis, J.W., Rankin, J.S., 1987. Sequence of mitral valve motion and transmitral blood flow during manual cardiopulmonary resuscitation in dogs. Circulation 76(2), 363-375.
    • (1987) Circulation , vol.76 , pp. 363-375
    • Feneley, M.P.1    Maier, G.M.2    Gaynor, J.W.3    Gall, S.G.4    Kisslo, J.K.5    Davis, J.W.6    Rankin, J.S.7
  • 8
    • 0023081445 scopus 로고
    • Intrathoracic pressure fluctuations move blood during CPR: Comparison of hemodynamic data with predictions from a mathematical model
    • Halperin, H.R., Tsitlik, J.E., Beyar, R., Chandra, N., Guerci, A.D., 1987. Intrathoracic pressure fluctuations move blood during CPR: comparison of hemodynamic data with predictions from a mathematical model. Ann. Biomed. Eng. 15, 385-403.
    • (1987) Ann. Biomed. Eng. , vol.15 , pp. 385-403
    • Halperin, H.R.1    Tsitlik, J.E.2    Beyar, R.3    Chandra, N.4    Guerci, A.D.5
  • 9
    • 17744362483 scopus 로고    scopus 로고
    • Experimental study of a valveless impedance pump
    • 4
    • Hickerson, A.I., Rinderknecht, D., Gharib, M., 2005. Experimental study of a valveless impedance pump. Exp. Fluids 38(4), 534-540.
    • (2005) Exp. Fluids , vol.38 , pp. 534-540
    • Hickerson, A.I.1    Rinderknecht, D.2    Gharib, M.3
  • 11
    • 0036208211 scopus 로고    scopus 로고
    • Two-dimensional simulations of valveless pumping using the immersed boundary method
    • Jung, E., Peskin, C.S., 2001. Two-dimensional simulations of valveless pumping using the immersed boundary method. SIAM J. Sci. Comput. 23, 19-45.
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 19-45
    • Jung, E.1    Peskin, C.S.2
  • 12
    • 0008732241 scopus 로고
    • Formed flow, fluid oscillation and the heart as a morphodynamic pump (abstract)
    • Suppl. 1
    • Kilner, P.J., 1987. Formed flow, fluid oscillation and the heart as a morphodynamic pump (abstract). Eur. Surg. Res. 19(Suppl. 1), 89-90.
    • (1987) Eur. Surg. Res. , vol.19 , pp. 89-90
    • Kilner, P.J.1
  • 13
    • 0008689906 scopus 로고
    • Uber ein Ventilloses Pumpprinzip
    • Liebau, G., 1954. Uber ein Ventilloses Pumpprinzip. Naturwissenschsften 41, 327-328.
    • (1954) Naturwissenschsften , vol.41 , pp. 327-328
    • Liebau, G.1
  • 14
    • 0008688116 scopus 로고
    • Die Stromungsprinzipien des Herzens
    • Liebau, G., 1955. Die Stromungsprinzipien des Herzens. Z. Kreislaufforsch. 44, 677-684.
    • (1955) Z. Kreislaufforsch. , vol.44 , pp. 677-684
    • Liebau, G.1
  • 15
    • 0008722162 scopus 로고
    • Die Bedeutung der Tragheitskrafte fur die Dynamik des Blutkreislaufs
    • Liebau, G., 1957. Die Bedeutung der Tragheitskrafte fur die Dynamik des Blutkreislaufs. Z. Kreislaufforsch. 46, 428-438.
    • (1957) Z. Kreislaufforsch. , vol.46 , pp. 428-438
    • Liebau, G.1
  • 16
    • 33645719988 scopus 로고    scopus 로고
    • One-dimensional model of valveless pumping in a closed loop and a numerical solution
    • Manopoulos, C.G., Mathioulakis, D.S., Tsangaris, S.G., 2006. One-dimensional model of valveless pumping in a closed loop and a numerical solution. Phys. Fluids 18, 017106.
    • (2006) Phys. Fluids , vol.18 , pp. 017106
    • Manopoulos, C.G.1    Mathioulakis, D.S.2    Tsangaris, S.G.3
  • 18
    • 0000813168 scopus 로고    scopus 로고
    • Impedance defined flow, generalisation of William Harvey's concept of the circulation-370 years later
    • Moser, M., Huang, J.W., Schwarz, G.S., Kenner, T., Noordergraaf, A., 1998. Impedance defined flow, generalisation of William Harvey's concept of the circulation-370 years later. Int. J. Cardiovasc. Med. Sci. 71, 205-211.
    • (1998) Int. J. Cardiovasc. Med. Sci. , vol.71 , pp. 205-211
    • Moser, M.1    Huang, J.W.2    Schwarz, G.S.3    Kenner, T.4    Noordergraaf, A.5
  • 19
    • 0642364455 scopus 로고    scopus 로고
    • Valveless pumping in a fluid-filled closed elastic tube-system: One-dimensional theory with experimental validation
    • Ottesen, J.T., 2003. Valveless pumping in a fluid-filled closed elastic tube-system: one-dimensional theory with experimental validation. J. Math. Biol. 46, 309-332.
    • (2003) J. Math. Biol. , vol.46 , pp. 309-332
    • Ottesen, J.T.1
  • 20
    • 0015760763 scopus 로고
    • Measurement of the modulus of elasticity of the arterial wall
    • Posey, J., Geddes, L., 1973. Measurement of the modulus of elasticity of the arterial wall. Cardiovasc. Res. Cent. Bull. 11, 83-103.
    • (1973) Cardiovasc. Res. Cent. Bull. , vol.11 , pp. 83-103
    • Posey, J.1    Geddes, L.2
  • 21
    • 17444366212 scopus 로고    scopus 로고
    • A valveless micro impedance pump by electromagnetic actuation
    • Rinderknecht, D., Hickerson, A.I., Gharib, M., 2005. A valveless micro impedance pump by electromagnetic actuation. J. Micromech. Microeng. 15, 861-866.
    • (2005) J. Micromech. Microeng. , vol.15 , pp. 861-866
    • Rinderknecht, D.1    Hickerson, A.I.2    Gharib, M.3
  • 22
    • 0008719071 scopus 로고
    • A simple pumping mechanism in a valveless tube
    • Thomann, H., 1978. A simple pumping mechanism in a valveless tube. J. Appl. Math. Phys. 29, 169-177.
    • (1978) J. Appl. Math. Phys. , vol.29 , pp. 169-177
    • Thomann, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.