Dynamic System Model for Ventricular Cardiac Diastolic Function

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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

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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
• 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

Lisauskas JB, et al.
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Timeline
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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,
  91154-1622001.