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Modelling of Passive Blood Flow Stimulation

Modelling of Passive Blood Flow Stimulation. S . S . Simakov , T . M . Gamilov. 1. 1. 1. Moscow Institute of Physics and Technology. Mathematical and Computational Modelling in Cardiovascular Problems , 15 . 04 .201 4. Review. 1) “Passive” blood flow stimulation . EECP.

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Modelling of Passive Blood Flow Stimulation

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  1. Modelling of Passive Blood Flow Stimulation S.S. Simakov, T.M. Gamilov 1 1 1 Moscow Institute of Physics and Technology Mathematical and Computational Modelling in Cardiovascular Problems, 15.04.2014

  2. Review 1) “Passive” blood flow stimulation • EECP 2) Blood flowcirculation model • Wall state equation 3)Modelling of EECP

  3. Blood flow stimulation “active” Skeletal-muscle pump

  4. Blood flow stimulation “passive” Enhanced External Counterpulsation (EECP)

  5. Blood flow stimulation “passive” Intra-aortic balloon pump Vessels rings

  6. Enhanced External Counterpulsation (EECP) Heart failure Ishemia EECP Angina … Increased blood supply

  7. Blood flow circulation model

  8. Blood flow circulation model 1) Mass balance 2)Momentum balance 3)Bifurcations 3.1 3.2 3.3 Compatibility conditions

  9. The network of vessels

  10. Wall state equation 4) Vessel wall elasticity Analytic approximation external pressure Pedley, Luo, 1998

  11. Physiological reactions: autoregulation Wall state adaptation: T T t PP

  12. Wall state equation. EECP external pressure 100 mm Hg t 150 mm Hg t 0.2 s 200 mm Hg t Cardiac cycle E.T. Ozawa, K.E. Bottom, X. Xiao, R.D. Kamm, Numerical Simulation of Enhanced External Counterpulsation, Ann Biomed Eng 29, pp 284–297 (2001)

  13. EECP regimes Standard procedure 1/0 (1 cycle – work, 0 cycles - rest) t Cardiac cycle Procedure with rest phases 1/2 (1 cycle – work, 2 cycles - rest) t Cardiac cycle

  14. EECP. Blood pressure in a terminal coronary artery 1/0 10/100

  15. EECP. Blood flow and pressure (during “work phase”) in a terminal coronary artery Terminal artery

  16. EECP. Systolic pressure

  17. EECP. Shifted timing Normal timing Shifted timing 0.2 s 0.35 s Cardiac cycle t t Normal timing, 1/0 Shifted timing, 1/0

  18. Thank You!

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