Qing Cheng,Pourya Delafrouz,Jie Liang et al.
Qing Cheng et al.
We develop a special phase field/diffusive interface method to model the nuclear architecture reorganization process. In particular, we use a Lagrange multiplier approach in the phase field model to preserve the specific physical and geomet...
On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates [0.03%]
关于圆柱坐标系中Helmholtz方程的格林函数的方位傅里叶分量的有效计算方法
James Garritano,Yuval Kluger,Vladimir Rokhlin et al.
James Garritano et al.
In this paper, we develop an efficient algorithm to evaluate the azimuthal Fourier components of the Green's function for the Helmholtz equation in cylindrical coordinates. A computationally efficient algorithm for this modal Green's functi...
Megan E Farquhar,Kevin Burrage,Rodrigo Weber Dos Santos et al.
Megan E Farquhar et al.
Fibrosis, the excess of extracellular matrix, can affect, and even block, propagation of action potential in cardiac tissue. This can result in deleterious effects on heart function, but the nature and severity of these effects depend stron...
Artificial Intelligence for Accelerating Time Integrations in Multiscale Modeling [0.03%]
用于多尺度模拟时间积分的加速人工智能技术
Changnian Han,Peng Zhang,Danny Bluestein et al.
Changnian Han et al.
We developed a novel data-driven Artificial Intelligence-enhanced Adaptive Time Stepping algorithm (AI-ATS) that can adapt timestep sizes to underlying biophysical dynamics. We demonstrated its values in solving a complex biophysical proble...
Robust and efficient fixed-point algorithm for the inverse elastostatic problem to identify myocardial passive material parameters and the unloaded reference configuration [0.03%]
一种鲁棒且高效的定点算法求解心肌逆静力问题以识别心肌的被动材料参数和无载参考构型
Laura Marx,Justyna A Niestrawska,Matthias A F Gsell et al.
Laura Marx et al.
Image-based computational models of the heart represent a powerful tool to shed new light on the mechanisms underlying physiological and pathological conditions in cardiac function and to improve diagnosis and therapy planning. However, in ...
A general computational framework for the dynamics of single- and multi-phase vesicles and membranes [0.03%]
单层和多层囊泡及膜的动态通用计算框架
Tiankui Zhang,Charles W Wolgemuth
Tiankui Zhang
The dynamics of thin, membrane-like structures are ubiquitous in nature. They play especially important roles in cell biology. Cell membranes separate the inside of a cell from the outside, and vesicles compartmentalize proteins into functi...
On the Lagrangian-Eulerian Coupling in the Immersed Finite Element/Difference Method [0.03%]
基于拉格朗日欧拉描述耦合的嵌入式有限元/差分方法研究
Jae H Lee,Boyce E Griffith
Jae H Lee
The immersed boundary (IB) method is a non-body conforming approach to fluid-structure interaction (FSI) that uses an Eulerian description of the momentum, viscosity, and incompressibility of a coupled fluid-structure system and a Lagrangia...
Kamau Kingora,Hamid Sadat-Hosseini
Kamau Kingora
This paper describes a novel 2nd order direct forcing immersed boundary method designed for simulation of 2D and 3D incompressible flow problems with complex immersed boundaries. In this formulation, each cell cut by the immersed boundary (...
A Hybrid Semi-Lagrangian Cut Cell Method for Advection-Diffusion Problems with Robin Boundary Conditions in Moving Domains [0.03%]
带有罗宾边界条件的移动域中的 advect-diffusion 问题的混合半拉格朗日切割单元法
Aaron Barrett,Aaron L Fogelson,Boyce E Griffith
Aaron Barrett
We present a new discretization approach to advection-diffusion problems with Robin boundary conditions on complex, time-dependent domains. The method is based on second order cut cell finite volume methods introduced by Bochkov et al. [8] ...
Daniel A Messenger,David M Bortz
Daniel A Messenger
Sparse Identification of Nonlinear Dynamics (SINDy) is a method of system discovery that has been shown to successfully recover governing dynamical systems from data [6, 39]. Recently, several groups have independently discovered that the w...