In numerical simulations of cardiac mechanics, coupling the heart to a model of the circulatory system is essential for capturing physiological cardiac behavior. A popular and efficient technique is to use an electrical circuit analogy, known as a lumped parameter network or zero-dimensional (0D) fluid model, to represent blood flow throughout the cardiovascular system. Due to the strong interaction between the heart and the blood circulation, developing accurate and efficient coupling methods remains an active area of research. In this work, we present a modular framework for implicitly coupling three-dimensional (3D) finite element simulations of cardiac mechanics to 0D models of blood circulation. The framework is modular in that the circulation model can be modified independently of the 3D finite element solver, and vice versa. The numerical scheme builds upon a previous work that combines 3D blood flow models with 0D circulation models (3D fluid - 0D fluid). Here, we extend it to couple 3D cardiac tissue mechanics models with 0D circulation models (3D structure - 0D fluid), showing that both mathematical problems can be solved within a unified coupling scheme. The effectiveness, temporal convergence, and computational cost of the algorithm are assessed through multiple examples relevant to the cardiovascular modeling community. Importantly, in an idealized left ventricle example, we show that the coupled model yields physiological pressure-volume loops and naturally recapitulates the isovolumic contraction and relaxation phases of the cardiac cycle without any additional numerical techniques. Furthermore, we provide a new derivation of the scheme inspired by the Approximate Newton Method of Chan (1985), explaining how the proposed numerical scheme combines the stability of monolithic approaches with the modularity and flexibility of partitioned approaches.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10956732PMC
http://dx.doi.org/10.1016/j.cma.2024.116764DOI Listing

Publication Analysis

Top Keywords

cardiac mechanics
12
modular framework
8
simulations cardiac
8
blood flow
8
blood circulation
8
finite element
8
mechanics models
8
numerical scheme
8
models circulation
8
circulation models
8

Similar Publications

Cardiovascular disease (CVD) is the leading cause of death in the United States. Damage in the cardiovascular system can be due to environmental exposure, trauma, drug toxicity, or numerous other factors. As a result, cardiac tissue and vasculature undergo structural changes and display diminished function.

View Article and Find Full Text PDF

Background: Acute kidney injury (AKI) is a common postoperative complication, and hypotension may contribute. We therefore tested the primary hypothesis that individualized intraoperative blood pressure regulation reduces postoperative AKI in older surgical patients.

Methods: We enrolled patients ≥60 years old scheduled for elective major abdominal surgery with invasive arterial pressure monitoring.

View Article and Find Full Text PDF

Introduction: Veno-Arterial Extracorporeal Membrane Oxygenation (VA-ECMO) has emerged as a crucial component of critical care medicine, mainly as a lifesaving intervention for patients experiencing refractory cardiac arrest and respiratory failure.

Background: In the past, VA-ECMO decannulation was surgical and often associated with a high rate of periprocedural complications, such as surgical site infection, bleeding, and patient mobilization costs. To reduce the rate of these adverse events, many percutaneous techniques utilizing suture-mediated closing devices have been adopted.

View Article and Find Full Text PDF

Objective: The authors sought to evaluate the role of nutritional indices such as Onodera's prognostic nutrition index (PNI), World Health Organization (WHO)-based anthropometric measurements such as weight for age (w/a), height for age, weight for height, and perioperative serum albumin levels in the determination of postoperative clinical outcomes in pediatric patients who undergo surgery for congenital cardiac defects and surgical complexity (risk-adjusted congenital heart surgery score) and its correlation with postoperative course.

Material And Methods: In this prospective observational study, 108 post-pediatric cardiac surgery patients under the age of 18 months were enrolled between January 2023 and August 2023. Through receiver operating characteristic curve analysis we have found the cutoff value for PNI is ≤66.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!