343
Views
6
CrossRef citations to date
0
Altmetric
Articles

Mathematical modelling of intra-aortic balloon pump

, &
Pages 567-576 | Received 22 Jun 2009, Accepted 21 Sep 2009, Published online: 18 Nov 2009

References

  • Beeler , GW and Reuter , H . 1977 . Reconstruction of the action potential of the ventricular myocardial fibers . J Physiol , 268 : 177 – 210 .
  • Croston RC, Fitzjerrell DG. Cardiovascular model for the simulation of exercise, lower body negative pressure, and tilt table experiments. Proceedings of the 5th Ann Pittsburgh Conference Modeling Simulation; 1974, p. 471–476
  • Darovic , GO and Stratton , KL . 2002 . Hemodynamic monitoring, invasive and noninvasive clinical application , 3rd ed. , Philadelphia (PA) : Saunders . 19106–3399
  • Dekker , A , Reesink , K , van der Veen , E , Van Ommen , V , Geskes , G , Soemers , C and Maessen , J . 2003 . Efficiency of a new intra aortic propeller pump vs the intra aortic balloon pump (an animal study) . Chest J , 123 : 2089 – 2095 .
  • Dunkman , W , Leinbach , RC , Buckley , MJ , Mundth , ED , Kantrowitz , AR , Austen , WG and Sanders , CA . 1972 . Clinical and hemodynamic results of intra aortic balloon pumping and surgery for cardiogenic shock . J Circ , XLVI : 465 – 477 .
  • Guyton , AC and Hall , JE . 1996 . “ Overview of circulation; medical physics of pressure, flow, and resistance ” . In Textbook of medical physiology , 9th ed , Edited by: Hall , JE . 107 – 119 . Philadelphia (PA) : Saunders .
  • Hassani , K , Navidbakhsh , M and Rostami , M . 2006 . Simulation of the cardiovascular system using equivalent electronic system . J Biomed Paper , 150 ( 1 ) : 105 – 112 .
  • Heldet , T and Shim , E . 2002 . Modelling of cardiovascular response to orthostatic stress . J Appl Physiol , 92 : 1239 – 1254 .
  • Liang , F and Liu , H . 2005 . A closed-loop lumped parameter computational model for human cardiovascular system . JSME Int J Ser C , 48 ( 4 ) : 484 – 493 .
  • Manoliu , V . Consideration about the lumped parameter windkessel model applicativity in the cardiovascular system structure . pp. 428 – 437 . National Symposium of Theoretical Electrical Engineering; Oct 22–23; Burcharest, UPB
  • Masi , A , Mees , U , Vandekerkhof , J and Hendrikxet , M . 2007 . Interactive cardiovascular and thoracic surgery . J Interactive Cardiovasc Thorac Surg , : 658 – 660 .
  • Olufsen , MS and Nadim , A . 2004 . On deriving lumped models for blood flow and pressure in the systemic arteries . J Math Biosci Eng , 1 ( 1 ) : 61 – 80 .
  • Reitan , O , Sternby , J and Ohlin , H . 2000 . Hymodynamic properties of a new percutaneous intra aortic axial flow pump . ASAIO J , 46 : 323 – 329 .
  • Rideout , VC . 1991 . Mathematical and computer modeling of physiological system , 27 – 66 . Englewood Cliffs (NJ) : Printice-Hall .
  • Rupnic , M and Runvovc , F . 2002 . Simulation of steady state and transient phenomena by using the equivalent electronic circuit . J Comput Methods Prog Biomed , 67 : 1 – 12 .
  • Takeuchi , M , Nohtomi , Y , Yoshitani , H , Miyazaki , C , Sakamoto , K and Yoshikawa , J . 2004 . Enhanced coronary flow velocity during intra-aortic balloon pumping assessed by transthoracic Doppler echocardiography . J Am Coll Cardiol , 43 : 368 – 376 .
  • Urquiza , S , Blanco , P , Lonbera , G , Venera , M and Feijoo , R. 2003 . Coupling multidimensional compliant model for carotid artery blood flow . J Mecanica Computacional , 22 : 232 – 243 .
  • Waite , L . 2006 . Biofluid mechanics in cardiovascular system , Biomedical engineering series New York : McGraw-Hill .
  • Wang , JJ and Parker , KH . 2004 . Wave propagation in a model of arterial circulation . J Biomech , 37 : 457 – 470 .
  • Westerhof , N , Bosman , F , DeVries , CJ and Noordergraaf , A . 1969 . Analogue studies of the human systemic arterial tree . J Biomech , 2 : 121 – 143 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.