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Efficient Implementation of a Non-linear Cardio-Vascular System Model for Real-Time Therapy Assistance in Critical Care

Efficient Implementation of a Non-linear Cardio-Vascular System Model for Real-Time Therapy Assistance in Critical Care . THE 12 th INTERNATIONAL CONFERENCE ON BIOMEDICAL ENGINEERING C. E. Hann 1 , J. G. Chase 1 , G. M. Shaw 2 ,

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Efficient Implementation of a Non-linear Cardio-Vascular System Model for Real-Time Therapy Assistance in Critical Care

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  1. Efficient Implementation of a Non-linear Cardio-Vascular System Model for Real-Time Therapy Assistance in Critical Care THE 12th INTERNATIONAL CONFERENCE ON BIOMEDICAL ENGINEERING C. E. Hann1, J. G. Chase1, G. M. Shaw2, 1Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand 2 Department of Intensive Care Medicine, Christchurch Hospital, Christchurch, New Zealand

  2. Introduction • Cardiovascular disturbances difficult to diagnose • Masked by reflex response • Disease scenarios, clinical history, quick diagnosis  experience, intuition • Physiological, identifiable, validated computer model • FE methods • PV methods, specific CVS function • Minimal cardiac model – primary parameters • Model drug treatment  fast forward simulations, set up the maths right  standard PC, palm pilot

  3. Single Chamber

  4. Full Model • Event solver, computationally heavy, many combinations

  5. Heaviside formulation Filling: Q1 valve doesn’t shut Q1 valve shuts inertia Contraction: Q2 valve opens open on pressure • Ejection and relaxation, similar

  6. Simpler Heaviside formulation  small transient Q2 Q2

  7. Ventricular Interaction • Has no direct solution • Solve for Vspt every time step  very slow approximation Vspt,old

  8. Results • Simulate healthy human • Computational times

  9. Results • New method versus first Heaviside (20 heart beats) • New method 19 beats + first Heaviside 1 beat versus first Heaviside 20 heart beats

  10. Results • Comparing the accuracy of the new method

  11. Conclusions • New method 24 times faster • No loss in accuracy • Clinically, simulate large number of treatments • Future work – non-linear D.E’s  piecewise linear D.E’s  piecewise analytical solutions  standard PC or palm pilot, real time • Human trials planned

  12. Questions ??? Dr Bram Smith Dr Geoff Chase Dr Geoff Shaw AIC2, Kate, Carmen and Nick

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