Purdue University Graduate School
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posted on 2021-05-14, 17:32 authored by Sreyashi ChakrabortySreyashi Chakraborty

Cancer and cardiac diseases are the major causes of morbidity and mortality in the western world. Cardiovascular hemodynamics is increasingly being used to understand the pathophysiological progression of these diseases. Advancements in imaging modalities and development of multiscale numerical models have opened avenues for innovative quantification of flow metrics that may potentially aid in clinical diagnosis. The motivation behind this dissertation is to investigate three different physiological flow phenomena and develop new flow specific parameters as explained in the following paragraphs.

Drug transport efficacy in treating breast tumors has a strong correlation with tissue architecture, nanoparticle transport parameters and hemodynamic metrics that varies from one patient to another. The exact time interval between nanoparticle introduction and drug release must be accurately determined to achieve therapeutic efficacy. The first chapter of the current work implements a numerical model based on mixture theory equations to investigate effect of varying inter-capillary separation on solute transport in dual-channel tissues for various solute sizes (0.5-15 nm) and molecular weights (0.1-70 kDa). The predictive capability of the numerical model is validated by measurements of dextran transport in an invitro tumor platform containing multiple blood vessels. The main contribution of this work is in reporting a unique non-dimensional time at which solute concentration peaks in any location in the tissue in absence of pharmacokinetics.

The second chapter focuses on the development of a physics-based metric from color-m-mode (CMM) echocardiography scans to correctly diagnose different stages of left ventricle diastolic dysfunction (LVDD). Current practice of diagnosing LVDD involves calculating a combination of parameters like intraventricular pressure difference (IVPD) and propagation velocity (Vp) from the CMM scans. The conventional Vp measurement is based on heuristics. This definition does not utilize the entire information from the spatio-temporal velocity distribution of the ventricle filling cycle. The present work challenges the underlying assumption of the early ventricle filling wave moving with a constant velocity. The proposed method in this chapter uses wavelets to analyze the early diastolic ventricle filling wave and introduces a wavelet based peak propagation velocity (Peak-Vw). Peak-Vw is free of the inherent assumptions of the subjective selection of an iso-contour in the scan and measuring a slope from it. The novelty of the Peak-Vw measurement can provide new insights for understanding the complicated pathophysiology of the left ventricle (LV) diastolic function.

The final focus of this dissertation is to investigate the evolving hemodynamics of the cardiovascular system of Japanese medaka while it is growing from embryonic state to larval stages. Cross-correlation of red blood cell patterns from 2D micro-particle image velocimetry (µPIV) images provide measurements of velocity fields in the fish heart and vessels. Accurate velocity gradient measurements are required to further derive flow quantities like wall shear stress (WSS), pressure drop across valves and cardiac strain.

WSS experienced by endocardial cells and vascular endothelial cells are linked to changes in cardiac specific gene expressions. Previous studies with other vertebrate models investigating mechano-genetic correlations were focused on mutating genes or introducing some perturbation in the blood circulation. In the third chapter of this dissertation, a baseline longitudinal study tracking the change in cardiovascular WSS and gene expressions with natural progression of fish age is presented for the first time. Peak WSS changes with fish age calculated at the valves located at the ventricle inflow (AVC) and outflow (OFT), at the caudal artery (CA) showed an inflection trend that coincides with developmental landmarks of cardiac morphogenesis. Retrograde flow in the medaka heart valve locations have been documented for the first time. Contrary to intuition, the caudal and dorsal vessels in the fish tail displayed a reduction in cross-sectional area with age progression. Identification of these unique trends in the mechano-genetic tapestry of vertebrates prepares the ground for future studies that can test the mechano-transduction mechanisms.

The fourth chapter delves deeper into the flow induced pressure drop (ΔP) across the AVC and OFT of the ventricle and the peak strain experienced by the ventricle wall remodeling through fish age progression. Valve regions record the dynamic variations of ΔP that may induce WSS fluctuations with age progression. A variation of cardiac strain with age is the key driver of varying chamber morphology. This is the first study in teleost species literature that analyzes the endocardial work (EW) calculated from a ΔP-strain loop. The increase in EW observed across fish age progression can be directly related to the heart’s metabolic demand. EW can be used in future studies of human hearts to distinguish between healthy and diseased ventricles.

Overall, this dissertation provides an in-depth study of three separate biophysical processes of the vertebrate cardiovascular system and designs new metrics that have translational clinical potential.


Degree Type

  • Doctor of Philosophy


  • Mechanical Engineering

Campus location

  • West Lafayette

Advisor/Supervisor/Committee Chair

Pavlos P. Vlachos

Additional Committee Member 2

Marisol Sepulveda

Additional Committee Member 3

Eric Nauman

Additional Committee Member 4

Arezoo Ardekani

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