Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth [0.03%]
肿瘤生长随机多尺度模型的有效模拟的粗粒化和混合方法
Roberto de la Cruz,Pilar Guerrero,Juan Calvo et al.
Roberto de la Cruz et al.
The development of hybrid methodologies is of current interest in both multi-scale modelling and stochastic reaction-diffusion systems regarding their applications to biology. We formulate a hybrid method for stochastic multi-scale models o...
Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms [0.03%]
三维脑动脉和动脉瘤中粘弹性分数模型
Yue Yu,Paris Perdikaris,George Em Karniadakis
Yue Yu
We develop efficient numerical methods for fractional order PDEs, and employ them to investigate viscoelastic constitutive laws for arterial wall mechanics. Recent simulations using one-dimensional models [1] have indicated that fractional ...
A continuum mechanics-based musculo-mechanical model for esophageal transport [0.03%]
基于连续介质力学的食管运输肌力机械模型
Wenjun Kou,Boyce E Griffith,John E Pandolfino et al.
Wenjun Kou et al.
In this work, we extend our previous esophageal transport model using an immersed boundary (IB) method with discrete fiber-based structural model, to one using a continuum mechanics-based model that is approximated based on finite elements ...
Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using Boundary-Conforming Coordinates [0.03%]
任意形状通道内颗粒流的二维stokes问题的保界坐标数值解法研究
A S Dvinsky,A S Popel
A S Dvinsky
A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. ...
Efficient computation of electrograms and ECGs in human whole heart simulations using a reaction-eikonal model [0.03%]
基于反应-似然模型计算人类心脏完整电生理活动的激动过程及心电图信号
Aurel Neic,Fernando O Campos,Anton J Prassl et al.
Aurel Neic et al.
Anatomically accurate and biophysically detailed bidomain models of the human heart have proven a powerful tool for gaining quantitative insight into the links between electrical sources in the myocardium and the concomitant current flow in...
Melissa R Adkins,Y C Zhou
Melissa R Adkins
Lipid bilayer membranes are not uniform and clusters of lipids in a more ordered state exist within the generally disorder lipid milieu of the membrane. These clusters of ordered lipids microdomains are now referred to as lipid rafts. Recen...
Shinjiro Miyawaki,Sanghun Choi,Eric A Hoffman et al.
Shinjiro Miyawaki et al.
To reproduce realistic airway motion and airflow, the authors developed a deforming lung computational fluid dynamics (CFD) model based on four-dimensional (4D, space and time) dynamic computed tomography (CT) images. A total of 13 time poi...
A Newton-Krylov method with an approximate analytical Jacobian for implicit solution of Navier-Stokes equations on staggered overset-curvilinear grids with immersed boundaries [0.03%]
带有嵌入边界的交错重叠网格上近似解析雅可比的牛顿-克雷洛夫方法求解纳维叶-斯托克斯方程隐式解法
Hafez Asgharzadeh,Iman Borazjani
Hafez Asgharzadeh
The explicit and semi-implicit schemes in flow simulations involving complex geometries and moving boundaries suffer from time-step size restriction and low convergence rates. Implicit schemes can be used to overcome these restrictions, but...
A computational method for the coupled solution of reaction-diffusion equations on evolving domains and manifolds: Application to a model of cell migration and chemotaxis [0.03%]
发展区域和流形上反应扩散方程的耦合解的计算方法及其在细胞迁移和趋化模型中的应用
G MacDonald,J A Mackenzie,M Nolan et al.
G MacDonald et al.
In this paper, we devise a moving mesh finite element method for the approximate solution of coupled bulk-surface reaction-diffusion equations on an evolving two dimensional domain. Fundamental to the success of the method is the robust gen...
A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions [0.03%]
满足开放边界、牵引力边界或自由边界的Navier-Stokes方程的半隐式增强IIM
Zhilin Li,Li Xiao,Qin Cai et al.
Zhilin Li et al.
In this paper, a new Navier-Stokes solver based on a finite difference approximation is proposed to solve incompressible flows on irregular domains with open, traction, and free boundary conditions, which can be applied to simulations of fl...