Transcript Dynamic System Model for Ventricular Cardiac Diastolic

Dynamic System Model for Ventricular
Cardiac Diastolic Function
Project Proposal
Justin K. Gross
Project #18
University of Colorado at Boulder
Mechanical Engineering
MCEN 5208 Introduction to Research
Professor Oleg V. Vasilyev
Acknowledgements: Professor Robin Shandas
Dr. Osama Mukdadi
October 13, 2004
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Problem/Questions
• To develop a mechanical systems model to
characterize the normal functioning of the
heart during diastole.
• To alter this model to include heart
pathologies.
• Can knowledge of mechanical functioning
of the heart be used to help diagnose heart
pathologies?
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Background
• Right ventricle pumps
deoxygenated blood to the
lungs
• Diastolic period when
ventricles relax after systolic
contraction and fill with blood
– Flow through atrioventricular
valves
• Cardiac pathologies changes
mechanical functioning
• Clinicians look at flow across
atrioventricular valve to aid in
disease detection
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Objectives
• Model the right ventricle during diastole using a
dynamic system model
– Find parameters of the system
• Understand heart functioning for healthy and
unhealthy hearts
– Which mechanical parameters change
– Understand correlated physiological changes
• Develop step towards a tool for diagnosis of heart
disease
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Methodology
•
Dynamic systems model of right
ventricular diastolic function
– One dimensional
d 2x
dx
m 2  c  kx  f (t )
dt
dt
•
Solve “inverse problem” using
clinically obtained data
– Blood transvalvular flow velocities
(Echocardiography)
– Tissue velocities (tissue Doppler)
• Determination of parameters m, c, k
using certain assumptions
•
Numerical data fitting using MATLAB
– Nonlinear solver
• Levenberg-Marquardt
•
Statistical analysis to validate model
with actual cardiac data
October 13, 2004
[Lisauskas JB, et al.]
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Timeline
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Find Project/Advisor
Proposed
Proposal Presentation
Accomplished
Proposal Writeup
Literature Search
Literature Review Writeup
Project Presentation 1
Model Development
Validation of Model
Statistical Analysis
Project Presentation 2
Final Report Writeup
.
October 13, 2004
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References
•
Lisauskas JB, Singh J, Bowman AW, Kovacs SJ. Chamber properties from
transmitral flow: prediction of average and passive left ventricular diastolic
stiffness. J Appl Physiol, 91:154-162;2001.
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