Treatment of cardiac diseases involves transplantation of donor hearts, since the damaged heart has limited self-regeneration potential. An alternative treatment option has emerged as engineered cardiac tissues, grown in vitro by cultivation of cardiac cells on biomaterials, have comparable properties to native myocardium and can be implanted for cardiac repair. Major current limitations are a viable cell source and adequate vascularization to support cell survival. In this thesis, two proangiogenic biomaterials, a scaffold and a hydrogel, were developed to achieve vascularization in vitro and in vivo for cardiac repair. Scaffold patches are suitable for repairing congestive heart failure or congenital malformations, while injectable biomaterials allow minimally-invasive treatment post-myocardial infarction (MI). In the first aim, a collagen scaffold with covalently immobilized vascular endothelial growth factor (VEGF) was developed, and improved cell mobilization, survival and proliferation when used for free wall repair in adult rats. This increased angiogenesis, which aided in retaining the biomaterial size to allow tissue growth. In the second aim, a collagen-chitosan hydrogel with encapsulated thymosin β4 (Tβ4) was developed to 1) recruit cells from the heart epicardium for repair post-MI in vivo, and 2) guide capillary outgrowths from arteries and veins to form oriented capillary structure for in vitro cardiac tissue engineering. Results showed that the encapsulation of Tβ4 into collagen-chitosan hydrogels led to cell outgrowths from rat or mouse cardiac explants in vitro. A portion of the recruited cells were CD31-positive endothelial cells (ECs) that formed tubes. The hydrogel was injected in vivo to increase vascularization and number of cardiomyocytes within the infarct area post-MI, which improved left ventricular wall thickness. Tβ4-hydrogel also promoted the outgrowth of capillaries from vascular explants that followed the direction of the hydrogel-coated grooves of a micropatterned polydimethylsiloxane (PDMS) substrate. These capillary outgrowths eventually formed a vascular bed for engineering vascularized cardiac tissues. This thesis presents two bioinstructive biomaterials with sustained and localized delivery of angiogenic molecules to be used for in situ cardiac repair based on improved vascularization. The use of cell-free bioactive materials overcomes limitations of cell isolation and expansion as required for cell therapies or implantation of engineered tissues.

Treatment of cardiac diseases involves transplantation of donor hearts, since the damaged heart has limited self-regeneration potential. An alternative treatment option has emerged as engineered cardiac tissues, grown in vitro by cultivation of cardiac cells on biomaterials, have comparable properties to native myocardium and can be implanted for cardiac repair. Major current limitations are a viable cell source and adequate vascularization to support cell survival. In this thesis, two proangiogenic biomaterials, a scaffold and a hydrogel, were developed to achieve vascularization in vitro and in vivo for cardiac repair. Scaffold patches are suitable for repairing congestive heart failure or congenital malformations, while injectable biomaterials allow minimally-invasive treatment post-myocardial infarction (MI). In the first aim, a collagen scaffold with covalently immobilized vascular endothelial growth factor (VEGF) was developed, and improved cell mobilization, survival and proliferation when used for free wall repair in adult rats. This increased angiogenesis, which aided in retaining the biomaterial size to allow tissue growth. In the second aim, a collagen-chitosan hydrogel with encapsulated thymosin β4 (Tβ4) was developed to 1) recruit cells from the heart epicardium for repair post-MI in vivo, and 2) guide capillary outgrowths from arteries and veins to form oriented capillary structure for in vitro cardiac tissue engineering. Results showed that the encapsulation of Tβ4 into collagen-chitosan hydrogels led to cell outgrowths from rat or mouse cardiac explants in vitro. A portion of the recruited cells were CD31-positive endothelial cells (ECs) that formed tubes. The hydrogel was injected in vivo to increase vascularization and number of cardiomyocytes within the infarct area post-MI, which improved left ventricular wall thickness. Tβ4-hydrogel also promoted the outgrowth of capillaries from vascular explants that followed the direction of the hydrogel-coated grooves of a micropatterned polydimethylsiloxane (PDMS) substrate. These capillary outgrowths eventually formed a vascular bed for engineering vascularized cardiac tissues. This thesis presents two bioinstructive biomaterials with sustained and localized delivery of angiogenic molecules to be used for in situ cardiac repair based on improved vascularization. The use of cell-free bioactive materials overcomes limitations of cell isolation and expansion as required for cell therapies or implantation of engineered tissues.

<p>Engineered monolayers created by using microabrasion and micropatterning methods have provided a simplified in vitro system to study the effects of anisotropy and fiber direction on electrical propagation. Interpreting the behavior in these culture systems has often been performed using classical computer models with continuous properties. Such models, however, do not account for the effects of random cell shapes, cell orientations and cleft spaces inherent in these monolayers on the resulting wavefront conduction. Additionally when the continuous computer model is built to study impulse propagations, the intracellular conductivities of the model are commonly assigned to match impulse conduction velocity of the model to the experimental measurement. However this method can result in inaccurate intracellular conductivities considering the relationship among the conduction velocity, intracellular conductivities and ion channel properties. In this study, we present novel methods for modeling a monolayer cardiac tissue and for estimating intracellular conductivities from an optical mapping. First, in the proposed method for modeling a monolayer of cardiac tissue, the factors governing cell shape, cell-to-cell coupling and the degree of cleft space are not constant but rather are treated as spatially random with assigned distributions. This approach makes it possible to simulate wavefront propagation in a manner analogous to performing experiments on engineered monolayer tissues. Simulated results are compared to reported experimental data measured from monolayers used to investigate the role of cellular architecture on conduction velocities and anisotropy ratios. We also present an estimate for obtaining the electrical properties from these networks and demonstrate how variations in the discrete cellular architecture affect the macroscopic conductivities. The simulation results agree with the common assumption that under normal ranges of coupling strengths, tissues whose cell shapes and connectivity show relatively uniform distributions can be represented using continuous models with conductivities derived from random discrete cellular architecture using either estimates. The results also reveal that in the presence of abrupt changes in cell orientation, local estimates of tissue properties predict smoother changes in conductivities that may not adequately predict the discrete nature of propagation at the transition sites. Second, a novel approach is proposed to estimate intracellular conductivities from the optical mapping of the monolayer cardiac tissue under subthreshold stimulus. This method uses a simplified membrane model, which represents the membrane as a second order polynomial of the membrane potential. The simplified membrane model and the intracellular conductivities are estimated from the optical mapping of the monolayer tissue under the subthreshold stimulus. We showed that the proposed method provides more accurate intracellular conductivities compared to a method using a constant membrane resistance.</p> / Dissertation

Cardiac arrhythmias, such as ventricular tachycardia (VT) and ventricular fibrillation (VF), are among the leading causes of death in the industrialized world. There is growing consensus that these arrhythmias are associated with the formation of spiral and scroll waves of electrical activation in mammalian cardiac tissue; whereas single spiral and scroll waves are believed to be associated with VT, their turbulent analogs are associated with VF. Thus, the study of these waves is an important biophysical problem in-so-far-as to develop an understanding of the electrophysiological basis of VT and VF. In this thesis, we provide a brief overview of recent numerical studies of spiral- and scroll-wave dynamics in mathematical models of mammalian cardiac tissue. In addition to giving a description of how spiral and scroll waves can be initiated in such models, how they evolve, how they interact with conduction and ionic inhomogeneities, how their dynamics is influenced by the size and geometry of the heart, we also discuss how active Purkinje networks and passive fibroblast clusters modify the electrical activity of cardiomyocytes, and the relevance of such studies to defibrillation. In Chapter 2 we present a systematic study of the combined effects of muscle-fiber rotation and inhomogeneities on scroll-wave dynamics in the TNNP (ten Tusscher Noble Noble Panfilov) model for human cardiac tissue. In particular, we use the three-dimensional (3D) TNNP model with fiber rotation and consider both conduction and ionic inhomogeneities. We find that, in addition to displaying a sensitive dependence on the positions, sizes, and types of inhomogeneities, scroll-wave dynamics also depends delicately upon the degree of fiber rotation. We find that the tendency of scroll waves to anchor to cylindrical conduction inhomogeneities increases with the radius of the inho-mogeneity. Furthermore, the filament of the scroll wave can exhibit drift or meandering, transmural bending, twisting, and break-up. If the scroll-wave filament exhibits weak meandering, then there is a fine balance between the anchoring of this wave at the inho-mogeneity and a disruption of wave-pinning by fiber rotation. If this filament displays strong meandering, then again the anchoring is suppressed by fiber rotation; also, the scroll wave can be eliminated from most of the layers only to be regenerated by a seed wave. Ionic inhomogeneities can also lead to an anchoring of the scroll wave; scroll waves can now enter the region inside an ionic inhomogeneity and can display a coexistence of spatiotemporal chaos and quasi-periodic behavior in different parts of the simulation domain. We discuss the experimental implications of our study. In Chapter 3 we present a comprehensive numerical study of plane and scroll waves of electrical activation in two state-of-the-art ionic models for rabbit and pig cardiac tissue. We use anatomically realistic, 3D simulation domains, account for muscle-fiber rotation, and show how to include conduction and ionic inhomogeneities in these models; we consider both localized and randomly distributed inhomogeneities. Our study allows us to compare scroll-wave dynamics, with and without inhomogeneities, in these rabbit-and pig-heart models at a level that has not been attempted hitherto. We begin with a comparison of single-cell action potentials (APs) and ionic currents in the Bers-Puglisi (BP) and modified-Luo-Rudy I (mLRI) models for rabbit- and pig-myocytes, respec-tively. We then show how, for plane-wave propagation in rabbit- and pig-heart models, the conduction velocity CV and wavelength λ depend on the distance of the plane of measurement from the plane containing the heart apex. Without inhomogeneities, and in the parameter r´egime in which these models display scroll waves, the rabbit-heart model supports a single scroll wave, which rotates periodically, whereas the pig-heart model supports two scroll waves, which rotate periodically, but with a slight difference in phase; this is partly because the rabbit-heart model is smaller in size, than the pig-heart one. With randomly-distributed inhomogeneities, we find that the rabbit-heart model loses its ability to support electrical activity, even at inhomogeneity concentra-tions as low as 5%. In the pig-heart model, we obtain rich, scroll-wave dynamics in the presence of localized or distributed inhomogeneities, both of conduction and ionic types; often, but not always, scroll waves get anchored to localized inhomogeneities; and distributed inhomogeneities can lead to scroll-wave break up. In Chapter 4, we present a comprehensive numerical study of spiral-and scroll-wave dynamics in a state-of-the-art mathematical model for human ventricular tissue with fiber rotation, transmural heterogeneity, myocytes, and fibroblasts. Our mathematical model introduces fibroblasts randomly, to mimic diffuse fibrosis, in the ten Tusscher-Noble-Noble-Panfilov (TNNP) model for human ventricular tissue; the passive fibrob-lasts in our model do not exhibit an action potential in the absence of coupling with myocytes; and we allow for a coupling between nearby myocytes and fibroblasts. Our study of a single myocyte-fibroblast (MF) composite, with a single myocyte coupled to Nf fibroblasts via a gap-junctional conductance Ggap, reveals five qualitatively different responses for this composite. Our investigations of two-dimensional domains with a ran-dom distribution of fibroblasts in a myocyte background reveal that, as the percentage Pf of fibroblasts increases, the conduction velocity of a plane wave decreases until there is conduction failure. If we consider spiral-wave dynamics in such a medium we find, in two dimensions, a variety of nonequilibrium states, temporally periodic, quasiperi-odic, chaotic, and quiescent, and an intricate sequence of transitions between them; we also study the analogous sequence of transitions for three-dimensional scroll waves in a three-dimensional version of our mathematical model that includes both fiber rotation and transmural heterogeneity. We thus elucidate random-fibrosis-induced nonequilib-rium transitions, which lead to conduction block for spiral waves in two dimensions and scroll waves in three dimensions. We explore possible experimental implications of our mathematical and numerical studies for plane-, spiral-, and scroll-wave dynamics in cardiac tissue with fibrosis. In Chapter 5 we present a detailed numerical study of the electrophysiological in-teractions between a random Purkinje network and simulated human endocardial tissue, (a) in the presence of, and (b) in the absence of existing electrical excitation in the system. We study the dependence of the activation-onset-time (ta) on the strength of coupling (Dmp) between the myocyte layer and the Purkinje network, in the absence of any external stimulus. Since the connection between the endocardial layer and the Purkinje network occurs only at discrete points, we also study the dependence of ta on the number of Purkinje-myocyte junctions (PMJs) at fixed values of Dmp, in the ab-sence of any applied excitation. We study signal propagation in the system; our results demonstrate the situations of (a) conduction block from the Purkinje layer to the endo-cardial layer, (b) anterograde propagation of the excitation from the Purkinje layer to the endocardium, (c) retrograde propagation of the excitation from the endocardium to the Purkinje layer and (d) development of reentrant circuits in the Purkinje layer that lead to formation of ectopic foci at select PMJs. We extend our study to explore the effects of Purkinje-myocyte coupling on spiral wave dynamics, whereby, we find that such coupling can lead to the distortion and breakage of the parent rotor into multiple rotors within the system; with or without internal coherence. We note that retrograde propa-gation leads to the development of reentrant circuits in the Purkinje network that help to initiate and stabilize ectopic foci. However, in some cases, Purkinje-myocyte coupling can also lead to the suppression of spiral waves. Finally we conduct four representative simulations to study the effects of transmural heterogeneity, fiber rotation and coupling with a non-penetrating Purkinje network on a three dimensional slab of cardiac tissue. Lastly, In Chapter 6, we study reentry associated with inexcitable obstacles in the ionically-realistic TNNP model for human ventricular tissue, under the influence of high-frequency stimulation. When a train of plane waves successively impinge upon an obstacle, the obstacle splits these waves as they tend to propagate past it; the emergent broken waves can either travel towards each other, bridging the gap introduced by the obstacle at the time of splitting, or, they can travel away from each other, resulting in the growth of the gap. The second possibility eventually results in the formation of spiral waves. This phenomenon depends on frequency of the waves. At high frequency, the excitability of the tissue decreases and the broken waves have a tendency to move apart. Hence high-frequency stimulation increases the chances of reentry in cardiac tissue. We correlate the critical period of pacing that leads to reentry in the presence of an inexcitable obstacle, with the period of spiral waves, formed in the homogeneous domain, and study how the critical period of pacing depends on the parameters of the model.

Cardiovascular disease is the leading cause of death in the United States, accounting for approximately 25% of total deaths. Myocardial infarction (MI) is an extreme case of cardiovascular disease where ischemia leads to irreversible tissue necrosis. As the heart lacks the capacity to endogenously regenerate, the infarcted region is negatively remodeled, reducing cardiac function. Current therapies are not able to regenerate cardiac function post-MI, requiring novel approaches such as tissue engineering. However, there are three major pitfalls that are currently limiting the clinical translation of a tissue engineered cardiac patch: lack of proper vascularization within the tissues; biocompatible material; and lack of electrical integration between engineered tissue and host. The research within this dissertation aimed to engineer solutions to overcome these three pitfalls. Plants and animals exploit fundamentally different approaches to transporting fluids, yet there are surprising structural similarities. To take advantage of these similarities, we looked across different kingdoms and investigated whether plants and their innate vasculature could serve as perfusable scaffolds for tissue engineering. Standard perfusion decellularization techniques were adapted and applied to spinach leaves, which were found to be fully devoid of DNA following processing. Leaf vasculature remained patent post-decellularization and supported transport of various sized microparticles. Human cells successfully seeded onto and inside the plant scaffolds. Decellularized leaves were found to be nearly void of any cytotoxic affects. Leaf biocompatibility was then investigated in vivo through subcutaneous implantation in a rat model. Leaf scaffolds were found to be biocompatible after 4 weeks of implantation. Furthermore, leaves that were pre-functionalized with an RGD-dopamine peptide were fully integrated into the host tissue within one week. This shows the leaf scaffold’s potential to be an immuno-modulatory material, depending upon the intended application. Electrically conducting biofibers were engineered through the combination of fibrin microthreads and engineered conductive HEK293 cells. Biofibers could act as a modular platform to allow for electrical integration between the host tissue and any engineered cardiac patch. Biofibers directionally carried electrical current and were found capable of bridging electrical signal between two separate clusters of cardiomyocytes. In vivo investigation bridging a biofiber from the left atria to the left ventricle was accomplished in a rat model. Electrical maps demonstrated a visible accessory pathway that created a feedback electrical signal from the ventricle to the atria through the implanted biofiber. These results demonstrate electrical integration in vivo between host myocardium and the engineered biofiber.

There is a growing consensus that life-threatening cardiac arrhythmias like ven- tricular tachycardia (VT) or ventricular fibrillation (VF) arise because of the formation of spiral waves of electrical activation in cardiac tissue; unbroken spiral waves are associated with VT and broken ones with VF. Several experimental studies have shown that in homogeneities in cardiac tissue can have dramatic effects on such spiral waves. In this thesis we focus on spiral-wave dynamics in mathematical models of human ventricular tissue which contain (a) conduction in homogeneities, (b) ionic in- homogeneities, (c) fibroblasts, (d) Purkinje fibers. We also study the effect of a periodic deformation of the simulation domain on spiral wave-dynamics. Chapter 2 contains our study of “Spiral-Wave Dynamics and Its Control in the Presence of In homogeneities in Two Mathematical Models for Human Cardiac Tissue”; this chapter follows closely parts of a paper we have published [1]. Chapter 3 contains our study of “Spiral-wave dynamics in a Mathematical Model of Human Ventricular Tissue with Myocytes and Fibroblasts”; this chapter follows closely a paper that we have submitted for publication. Chapter 4 contains our study of “Spiral-wave Dynamics in Ionically Realistic Mathematical Models for Human Ventricular Tis- sue: The Effects of Periodic Deformation”; this chapter follows closely a paper that we have submitted for publication. Chapter 5 contains our study of “Spiral-wave dynamics in a Mathematical Model of Human Ventricular Tissue with Myocytes and Purkinje fibers”; this chapter follows closely a paper that we will submit for publication soon. In chapter 2, we study systematically the AP morphology in a state-of-the-art mathematical model of human ventricular tissue due to ten-Tusscher, Noble, Noble, and Panfilov (the TNNP04 model); we also look at the contribution of individual ionic currents to the AP by partially or completely blocking ion channels associated with the ionic currents. We then carry out systematic studies of plane- wave and circular-wave dynamics in the TNNP04 model for cardiac tissue model. We present a detailed and systematic study of spiral-wave turbulence and spa- tiotemporal chaos in two mathematical models for human cardiac tissue due to (a) ten-Tusscher and Panfilov (the TP06 model) and (b) ten-Tusscher, Noble, Noble, and Panfilov (the TNNP04 model). In particular, we use extensive numerical simulations to elucidate the interaction of spiral waves in these models with conduction and ionic in homogeneities. Our central qualitative result is that, in all these models, the dynamics of such spiral waves depends very sensitively on such in homogeneities. A major goal here is to develop low amplitude defibrillation schemes for the elimination of VT and VF, especially in the presence of in homogeneities that occur commonly in cardiac tissue. Therefore, we study a control scheme that has been suggested for the control of spiral turbulence, via low-amplitude current pulses, in such mathematical models for cardiac tissue; our investigations here are designed to examine the efficacy of such control scheme in the presence of in homogeneities in biophysical realistic models. We find that a scheme that uses control pulses on a spatially extended mesh is more successful in the elimination of spiral turbulence than other control schemes. We discuss the theoretical and experimental implications of our study that have a direct bearing on defibrillation, the control of life-threatening cardiac arrhythmias such as ventricular fibrillation. In chapter 3, we study the role of cardiac fibroblasts in ventricular tissue; we use the TNNP04 model for the myocyte cell, and the fibroblasts are modelled as passive cells. Cardiac fibroblasts, when coupled functionally with myocytes, can modulate their electrophysiological properties at both cellular and tissue levels. Therefore, it is important to study the effects of such fibroblasts when they are coupled with myocytes. Chapter 3 contains our detailed and systematic study of spiral-wave dynamics in the presence of fibroblasts in both homogeneous and inhomogeneous domains of the TNNP04 model for cardiac tissue. We carry out extensive numerical studies of such modulation of electrophysiological properties in mathematical models for (a) single myocyte fibroblast (MF) units and (b) two-dimensional (2D) arrays of such units; our models build on earlier ones and allow for no, one-way, or two-way MF couplings. Our studies of MF units elucidate the dependence of the action-potential (AP) morphology on parameters such as Ef , the fibroblast resting membrane potential, the fibroblast conductance Gf , and the MF gap-junctional coupling Ggap. Furthermore, we find that our MF composite can show autorhythmic and oscillatory behaviors in addition to an excitable response. Our 2D studies use (a) both homogeneous and inhomogeneous distributions of fibroblasts, (b) various ranges for parameters such as Ggap, Gf , and Ef , and (c) intercellular couplings that can be no, one-way, and two-way connections of fibroblasts with myocytes. We show, in particular, that the plane-wave conduction velocity CV decreases as a function of Ggap, for no and one-way couplings; however, for two-sided coupling, CV decreases initially and then increases as a function of Ggap, and, eventually, we observe that conduction failure occurs for low values of Ggap. In our homogeneous studies, we find that the rotation speed and stability of a spiral wave can be controlled either by controlling Ggap or Ef . Our studies with fibroblast inhomogeneities show that a spiral wave can get anchored to a local fibroblast inhomogeneity. We also study the efficacy of a low-amplitude control scheme, which has been suggested for the control of spiral-wave turbulence in mathematical models for cardiac tissue, in our MF model both with and without heterogeneities. In chapter 4, we carry out a detailed, systematic study of spiral-wave dynamics in the presence of periodic deformation (PD) in two state-of-the-art mathematical models of human ventricular tissue, namely, the TNNP04 model and the TP06 model. To the best of our knowledge, our work is the first, systematic study of the dynamics of spiral waves of electrical activation and their transitions, in the presence of PD, in such biophysically realistic mathematical models of cardiac tissue. In our studies, we use three types of initial conditions whose time evolutions lead to the following states in the absence of PD: (a) a single rotating spiral (RS), (b) a spiral-turbulence (ST) state, with a single meandering spiral, and (c) an ST state with multiple broken spirals for both these models. We then show that the imposition of PD in these three cases leads to a rich variety of spatiotemporal pat- terns in the transmembrane potential including states with (a) an RS state with n-cycle temporal evolution (here n is a positive integer), (b) rotating-spiral states with quasiperiodic (QP) temporal evolution, (c) a state with a single meandering spiral MS, which displays spatiotemporal chaos, (d) an ST state, with multiple bro- ken spirals, and (e) a quiescent state in which all spirals are absorbed (SA). For all three initial conditions, precisely which one of the states is obtained depends on the amplitudes and the frequencies of the PD in the x and y directions. We also suggest specific experiments that can test the results of our simulations. We also study, in the presence of PD, the efficacy of a low-amplitude control scheme that has been suggested, hitherto only without PD, for the control of spiral-wave turbulence, via low-amplitude current pulses applied on a square mesh, in mathematical models for cardiac tissue. We also develop line-mesh and rectangular-mesh variants of this control scheme. We find that square- and line-mesh-based, low-amplitude control schemes suppress spiral-wave turbulence in both the TP06 and TNNP04 models in the absence of PD; however, we show that the line-based scheme works with PD only if the PD is applied along one spatial direction. We then demonstrate that a minor modification of our line-based control scheme can suppress spiral-wave turbulence: in particular, we introduce a rectangular-mesh-based control scheme, in which we add a few control lines perpendicular to the parallel lines of the line- based control scheme; this rectangular-mesh scheme is a significant improvement over the square-mesh scheme because it uses fewer control lines than the one based on a square mesh. In chapter 5, we have carried out detailed numerical studies of (a) a single unit of an endocardial cell and Purkinje cell (EP) composite and (b) a two-dimensional bilayer, which contains such EP composites at each site. We have considered bio- physically realistic ionic models for human endocardial cells (Ecells) and Purkinje cells (Pcells) to model EP composites. Our study has been designed to elucidate the sensitive dependence, on parameters and initial conditions, of (a) the dynamics of EP composites and (b) the spatiotemporal evolution of spiral waves of electrical activation in EP-bilayer domains. We examine this dependence on myocyte parameters by using the three different parameter sets P1, P2, and P3; to elucidate the initial-condition dependence we vary the time at which we apply the S2 pulse in our S1-S2 protocol; we also investigate the dependence of the spatiotemporal dynamics of our system on the EP coupling Dgap, and on the number of Purkinje- ventricular junctions (PVJs), which are measured here by the ratio R, the ratio of the total number of sites to the number of PVJs in our simulation domain. Our studies on EP composites show that the frequency of autorhythmic activity of a P cell depends on the diffusive gap-junctional conductance Dgap. We perform a set of simulations to understand the source-sink relation between the E and P cells in an EP composite; such a source-sink relation is an important determinant of wave dynamics at the tissue level. Furthermore, we have studied the restitution properties of an isolated E cell and a composite EP unit to uncover this effect on wave dynamics in 2D, bilayers of EP composites. Autorhythmicity is an important property of Purkinje cell; it helps to carry electrical signals rapidly from bundle of His to the endocardium. Our investigation of an EP composite shows that the cycle length (CL) of autorhythmic activity decreases, compared to that of an uncoupled Purkinje cell. Furthermore, we find that the APD increases for an EP composite, compared to that of an uncoupled P cell. In our second set of simulations for an EP-composite unit, we have obtained the AP behaviors and the amount of flux that flows from the E to the P cell during the course of the AP. The direction of flow of this flux is an important quantity that identifies which one of these cells act as a source or a sink in this EP composite. We have found that the P cell in an EP composite acts as a stimulation-current source for the E cell in the depolarization phase of the AP, when the stimulus is applied to both cells or to the P cell only. However, the P cell behaves both as a source and a sink when the stimulus is applied to the E cell only. In our third set of simulations for an EP composite unit, we have calculated the restitution of the APD; this plays an important role in deciding the stability of spiral waves in mathematical models for cardiac tissue. Our simulation shows that, for the EP composite with high coupling (Dgap = Dmm~10), the APDR slope decreases, relative to its value for an isolated E cell, for parameter sets P1 and P2, and first increases (for 50 ≤ DI ≤ 100 ms) and then decreases for the parameter set P3 ; however, for low coupling (Dgap = Dmm~100), the variation of the AP D as function of DI, for an EP composite, shows biphasic behavior for all these three parameter sets. We found that the above dynamics in EP cable type domains, with EP composites, depends sensitively on R. We hope our in silico studies of spiral-wave dynamics in a variety of state-of-the- art ionic models for ventricular tissue will stimulate more experimental studies that examine such dynamics.

No description available.

abstract: Severe cases of congenital heart defect (CHD) require surgeries to fix the structural problem, in which artificial grafts are often used. Although outcome of surgeries has improved over the past decades, there remains to be patients who require re-operations due to graft-related complications and the growth of patients which results in a mismatch in size between the patient’s anatomy and the implanted graft. A graft in which cells of the patient could infiltrate, facilitating transformation of the graft to a native-like tissue, and allow the graft to grow with the patient heart would be ideal. Cardiac tissue engineering (CTE) technologies, including extracellular matrix (ECM)-based hydrogels has emerged as a promising approach for the repair of cardiac damage. However, most of the previous studies have mainly focused on treatments for ischemic heart disease and related heart failure in adults, therefore the potential of CTE for CHD treatment is underexplored. In this study, a hybrid hydrogel was developed by combining the ECM derived from cardiac tissue of pediatric CHD patients and gelatin methacrylate (GelMA). In addition, the influence of incorporating gold nanorods (GNRs) within the hybrid hydrogels was studied. The functionalities of the ECM-GelMA-GNR hydrogels as a CTE scaffold were assessed by culturing neonatal rat cardiomyocytes on the hydrogel. After 8 days of cell culture, highly organized sarcomeric alpha-actinin structures and connexin 43 expression were evident in ECM- and GNR-incorporated hydrogels compared to pristine GelMA hydrogel, indicating cell maturation and formation of cardiac tissue. The findings of this study indicate the promising potential of ECM-GelMA-GNR hybrid hydrogels as a CTE approach for CHD treatment. As another approach to improve CHD treatment, this study sought the possibility of performing a proteomic analysis on cardiac ECM of pediatric CHD patient tissue. As the ECM play important roles in regulating cell signaling, there is an increasing interest in studying the ECM proteome and the influences caused by diseases. Proteomics on ECM is challenging due to the insoluble nature of ECM proteins which makes protein extraction and digestion difficult. In this study, as a first step to perform proteomics, optimization on sample preparation procedure was attempted. / Dissertation/Thesis / Masters Thesis Biomedical Engineering 2018

Embryonic stem cells (ESC) constitute a promising source of cells for cardiac transplantation strategies. However, complexities associated with in vivo studies have made it difficult to develop a thorough understanding of cell integration. We have engineered an in vitro system that recapitulates the native cardiac environment using 300μm thick collagen scaffolds seeded with neonatal cardiomyocytes (CM) and electrical field stimulation. The injection of undifferentiated ESC served as a baseline to assess the validity of studying cell transplantation in this model. Yfp-ESC survived and proliferated over several days in model tissue. ESC were not observed to significantly differentiate into the cardiac lineage, and did not integrate with the cardiac cell population. While the injection of ESC improved cardiac cell number, tissue functional properties were hindered. The methods developed herein can be readily adapted to study ESC derived progenitor and differentiated cells, to elucidate the optimal cell state for ESC-mediated cell therapy.

Embryonic stem cells (ESC) constitute a promising source of cells for cardiac transplantation strategies. However, complexities associated with in vivo studies have made it difficult to develop a thorough understanding of cell integration. We have engineered an in vitro system that recapitulates the native cardiac environment using 300μm thick collagen scaffolds seeded with neonatal cardiomyocytes (CM) and electrical field stimulation. The injection of undifferentiated ESC served as a baseline to assess the validity of studying cell transplantation in this model. Yfp-ESC survived and proliferated over several days in model tissue. ESC were not observed to significantly differentiate into the cardiac lineage, and did not integrate with the cardiac cell population. While the injection of ESC improved cardiac cell number, tissue functional properties were hindered. The methods developed herein can be readily adapted to study ESC derived progenitor and differentiated cells, to elucidate the optimal cell state for ESC-mediated cell therapy.