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Spatial variations in the electrical properties of cardiac tissue can occur because of cardiac diseases. We introduce such gradients into mathematical models for cardiac tissue and then study, by extensive numerical simulations, their…

Biological Physics · Physics 2018-07-13 Soling Zimik , Rupamanjari Majumder , Rahul Pandit

The structural and functional maturation of human induced pluripotent stem cell-derived cardiomyocytes (hiPSC-CMs) is essential for application to pharmaceutical testing, disease modeling, and ultimately therapeutic use. Multicellular…

We provide a rather simple proof of a homogenization result for the bidomain model of cardiac electrophysiology. Departing from a microscopic cellular model, we apply the theory of two-scale convergence to derive the bidomain model. To…

Analysis of PDEs · Mathematics 2018-11-20 Erik Grandelius , Kenneth H. Karlsen

In this paper we propose a novel coupled poroelasticity-diffusion model for the formation of extracellular oedema and infectious myocarditis valid in large deformations, manifested as an interaction between interstitial flow and the…

The hysteresis or internal friction in the deformation of crystalline solids stressed cyclically is studied from the viewpoint of collective dislocation dynamics. Stress-controlled simulations of a dislocation dynamics model at various…

Materials Science · Physics 2015-06-11 Lasse Laurson , Mikko J. Alava

A non--equilibrium occupation distribution relaxes towards the Fermi--Dirac distribution due to electron--electron scattering even in finite Fermi systems. The dynamic evolution of this thermalization process assumed to result from an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Imre Varga , Peter Thomas , Torsten Meier , Stephan W. Koch

The self-interaction force of dislocation curves in metals depends on the local arrangement of the atoms and on the nonlocal interaction between dislocation curve segments. While these nonlocal segment-segment interactions can be accurately…

Analysis of PDEs · Mathematics 2021-08-24 Patrick van Meurs

The heart beats due to the synchronized contraction of cardiomyocytes triggered by a periodic sequence of electrical signals called action potentials, which originate in the sinoatrial node and spread through the heart's electrical system.…

Pattern Formation and Solitons · Physics 2024-04-26 E. Angelaki , N. Lazarides , G. D. Barmparis , I. Kourakis , M. E. Marketou , G. P. Tsironis

We report extensive numerical simulations of different models of 2D polymer rings with internal elasticity. We monitor the dynamical behavior of the rings as a function of the packing fraction, to address the effects of particle deformation…

Soft Condensed Matter · Physics 2021-06-07 Nicoletta Gnan , Fabrizio Camerin , Giovanni Del Monte , Andrea Ninarello , Emanuela Zaccarelli

Computational models in cardiac electrophysiology are notorious for long runtimes, restricting the numbers of nodes and mesh elements in the numerical discretisations used for their solution. This makes it particularly challenging to…

We propose a nonlocal theory of single-particle excitations. It is based on an off-diagonal effective medium and the projection operator method for treating the retarded Green function. The theory determines the nonlocal effective medium…

Strongly Correlated Electrons · Physics 2015-05-14 Y. Kakehashi , T. Nakamura , P. Fulde

Coupling of electron heat conduction and magnetic field takes significant effects in inertial confinement fusion (ICF). As the nonlocal models for electron heat conduction have been developed for modeling kinetic effects on heat flux in…

Plasma Physics · Physics 2025-10-31 Xinyu Zhu , Wenqiang Yuan , Yusen Wang , Zhipeng Zhang , Xianxu Jin , Zhonghai Zhao , Bin Qiao

In this paper, we investigate how nonlocal correlations affect, selectively, the physics of correlated electrons over different energy scales, from the Fermi level to the band-edges. This goal is achieved by applying a diagrammatic…

Strongly Correlated Electrons · Physics 2016-10-24 G. Rohringer , A. Toschi

Chronic fetal hypoxia and infection are examples of adverse conditions during complicated pregnancy, which impact cardiac myogenesis and increase the lifetime risk of heart disease. However, the effects that chronic hypoxic or inflammatory…

Cell Behavior · Quantitative Biology 2020-03-23 Martin G. Frasch , Dino A. Giussani

Despite being governed by the familiar laws of Hookean mechanics, elastic shells patterned with an internal structure (i.e. metashells) exhibit a wealth of unusual mechanical properties with no counterparts in unstructured materials. Here I…

Soft Condensed Matter · Physics 2025-02-17 Luca Giomi

A field-theoretical description of the behavior of disordered, elastically isotropic, compressible systems characterized by two order parameters at the bicritical and tetracritical points is presented. The description is performed in the…

Statistical Mechanics · Physics 2007-05-23 S. V. Belim

The deformation of the left atrium (LA), or its biomechanical function, is closely linked to the health of this cardiac chamber. In atrial fibrillation (AF), atrial biomechanics are significantly altered but the underlying cause of this…

The impact of local and nonlocal density-density interactions on the electronic instabilities in the honeycomb lattice is widely investigated. Some early studies proposed the emergence of interaction-induced topologically nontrivial phases,…

Strongly Correlated Electrons · Physics 2019-08-07 Song-Jin O , Yong-Hwan Kim , Ho-Yong Rim , Hak-Chol Pak , Song-Jin Im

Cardiac deformation is a crucial biomarker for the evaluation of cardiac function. Current methods for estimating cardiac strain might underestimate local deformation due to through-plane motion and segmental averaging. Mesh-based mapping…

Tissues and Organs · Quantitative Biology 2025-04-07 Beatrice Moscoloni , Patrick Segers , Mathias Peirlinck

We holographically study the finite-size scaling effects on macroscopic and microscopic quantum correlations deformed by excitation and condensation. The excitation (condensation) increases (decreases) the entanglement entropy of the…

High Energy Physics - Theory · Physics 2020-08-12 Chanyong Park , Jung Hun Lee