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Electro-Mechanical Modeling and Simulation of Reentry Phenomena in the Presence of Myocardial Infarction
In this work we present a parallel solver for the numerical simulation of the cardiac electro-mechanical activity. We first review the most complete...
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Reduced Order Modeling for Cardiac Electrophysiology and Mechanics: New Methodologies, Challenges and Perspectives
Reduced-order modeling techniques enable a remarkable speed up in the solution of the parametrized electromechanical model for heart dynamics. Being...
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Analysis of Homeostatic Mechanisms in Biochemical Networks
Cell metabolism is an extremely complicated dynamical system that maintains important cellular functions despite large changes in inputs. This...
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Three-Chamber Model of Human Vascular System for Explanation the Quasi-Regular and Chaotic Dynamics of the Blood Pressure and Flow Oscillations
Arterial blood pressure P(t) and flow V(t) curves measured by ultrasound or other technique exhibit quasi-regular dynamics with clear patterns of the...
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Mechano-electric feedback in one-dimensional model of myocardium
We utilized our earlier developed 1D mathematical model of the heart muscle strand to study contribution of the bilateral interactions between...
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A Monolithic Approach to Fluid–Composite Structure Interaction
We study a nonlinear fluid–structure interaction (FSI) problem between an incompressible, viscous fluid and a composite elastic structure consisting...
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The Baroreflex Mechanism Revisited
We state that the autonomic part of the brain controls the blood pressure (BP) and the heart rate (HR) via the baroreflex mechanism in all situations...
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Visual Analytics of Image-Centric Cohort Studies in Epidemiology
Epidemiology characterizes the influence of causes to disease and health conditions of defined populations. Cohort studies are population-based...
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Examples of Global Bifurcation
The main goal of this chapter is to give examples of five different types of global bifurcation. While the local bifurcations of the previous chapter...
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Investigation of third-grade non-Newtonian blood flow in arteries under periodic body acceleration using multi-step differential transformation method
In this paper, a non-Newtonian third-grade blood in coronary and femoral arteries is simulated analytically and numerically. The blood is considered...
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Quantifying and Reducing Uncertainty About Causality in Improving Public Health and Safety
Effectively managing uncertain health, safety, and environmental risks requires quantitative methods for quantifying uncertain risks, answering the...
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Other Distances
In this chapter we group together distances and distance paradigms which do not fit in the previous chapters, being either too practical (as in...
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Functional Characterization of Oscillatory and Excitable Media
Cardiac and neural systems share common features of intrinsic oscillation in some cells as well as the ability to propagate excitation. One...
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Stabilizing Control for a Pulsatile Cardiovascular Mathematical Model
In this paper, we develop a pulsatile model for the cardiovascular system which describes the reaction of this system to a submaximal constant...
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Effects of Poroelasticity on Fluid-Structure Interaction in Arteries: a Computational Sensitivity Study
We model blood flow in arteries as an incompressible Newtonian fluid confined by a poroelastic wall. The blood and the artery are coupled at multiple...
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Mathematical Model of Cardiovascular and Metabolic Responses to Umbilical Cord Occlusions in Fetal Sheep
Fetal acidemia during labor is associated with an increased risk of brain injury and lasting neurological deficits. This is in part due to the...
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Contracting the boundary of a Riemannian 2-disc
Let D be a Riemannian 2-disc of area A , diameter d and length of the boundary L . We prove that it is possible to contract the boundary of D through...
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Basic Cardiac Anatomy and Electrocardiology
In this chapter, we briefly review the basic physiology and anatomy of the heart; a more complete treatment with many more details can be found in...
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Simulation Studies of Cardiac Bioelectrical Activity
Anisotropic Bidomain computer simulations have been used to study cardiac conduction since the beginning of the 1980s. At that time, computational...