October 13, 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, 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?

October 13, 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

October 13, 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

October 13, 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.]

October 13, Timeline

October 13, 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: ;2001.