Numerical simulation of endocytosis: Viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules [0.03%]
内吞作用的数值模拟：由曲率诱导分子非均匀分布的膜所驱动的粘性流动
John Lowengrub,Jun Allard,Sebastian Aland
John Lowengrub
The formation of membrane vesicles from a larger membrane that occurs during endocytosis and other cell processes are typically orchestrated by curvature-inducing molecules attached to the membrane. Recent reports demonstrate that vesicles ...
Local error estimates for adaptive simulation of the Reaction-Diffusion Master Equation via operator splitting [0.03%]
基于算子分裂的反应扩散主方程自适应模拟局部误差估计
Andreas Hellander,Michael J Lawson,Brian Drawert et al.
Andreas Hellander et al.
The efficiency of exact simulation methods for the reaction-diffusion master equation (RDME) is severely limited by the large number of diffusion events if the mesh is fine or if diffusion constants are large. Furthermore, inherent properti...
Anatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformation [0.03%]
高分辨率的人体心脏电机械综合解剖建模：一种用于非线性形变的强可扩展代数多网格求解器方法
Christoph M Augustin,Aurel Neic,Manfred Liebmann et al.
Christoph M Augustin et al.
Electromechanical (EM) models of the heart have been used successfully to study fundamental mechanisms underlying a heart beat in health and disease. However, in all modeling studies reported so far numerous simplifications were made in ter...
Bao Wang,Guo-Wei Wei
Bao Wang
Persistent homology provides a new approach for the topological simplification of big data via measuring the life time of intrinsic topological features in a filtration process and has found its success in scientific and engineering applica...
The Time Dependent Propensity Function for Acceleration of Spatial Stochastic Simulation of Reaction-Diffusion Systems [0.03%]
基于反应扩散系统的时空随机模拟加速算法研究
Jin Fu,Sheng Wu,Hong Li et al.
Jin Fu et al.
The inhomogeneous stochastic simulation algorithm (ISSA) is a fundamental method for spatial stochastic simulation. However, when diffusion events occur more frequently than reaction events, simulating the diffusion events by ISSA is quite ...
Per Lötstedt,Lina Meinecke
Per Lötstedt
In molecular biology it is of interest to simulate diffusion stochastically. In the mesoscopic model we partition a biological cell into unstructured subvolumes. In each subvolume the number of molecules is recorded at each time step and mo...
Convergence of methods for coupling of microscopic and mesoscopic reaction-diffusion simulations [0.03%]
耦合微观和介观反应扩散模拟方法的收敛性
Mark B Flegga,Stefan Hellander,Radek Erban
Mark B Flegga
In this paper, three multiscale methods for coupling of mesoscopic (compartment-based) and microscopic (molecular-based) stochastic reaction-diffusion simulations are investigated. Two of the three methods that will be discussed in detail h...
A high-order boundary integral method for surface diffusions on elastically stressed axisymmetric rods [0.03%]
弹性应力轴对称棒上表面扩散的高阶边界积分法
Xiaofan Li,Qing Nie
Xiaofan Li
Many applications in materials involve surface diffusion of elastically stressed solids. Study of singularity formation and long-time behavior of such solid surfaces requires accurate simulations in both space and time. Here we present a hi...
Hybrid approaches for multiple-species stochastic reaction-diffusion models [0.03%]
多物种随机反应扩散模型的混合方法
Fabian Spill,Pilar Guerrero,Tomas Alarcon et al.
Fabian Spill et al.
Reaction-diffusion models are used to describe systems in fields as diverse as physics, chemistry, ecology and biology. The fundamental quantities in such models are individual entities such as atoms and molecules, bacteria, cells or animal...
A fully resolved active musculo-mechanical model for esophageal transport [0.03%]
一种完全解决的主动肌肉力学模型用于食管输送
Wenjun Kou,Amneet Pal Singh Bhalla,Boyce E Griffith et al.
Wenjun Kou et al.
Esophageal transport is a physiological process that mechanically transports an ingested food bolus from the pharynx to the stomach via the esophagus, a multilayered muscular tube. This process involves interactions between the bolus, the e...