ANALYSIS OF A MULTISCALE INTERFACE PROBLEM BASED ON THE COUPLING OF PARTIAL AND ORDINARY DIFFERENTIAL EQUATIONS TO MODEL TISSUE PERFUSION [0.03%]
基于部分和普通微分方程耦合的多尺度界面问题分析以模拟组织灌注
Lorena Bociu,Matthew Broussard,Giovanna Guidoboni et al.
Lorena Bociu et al.
In biomechanics, local phenomena, such as tissue perfusion, are strictly related to the global features of the surrounding blood circulation. In this paper, we propose a heterogeneous model where a local, accurate, 3D description of tissue ...
MULTISCALE MOTION AND DEFORMATION OF BUMPS IN STOCHASTIC NEURAL FIELDS WITH DYNAMIC CONNECTIVITY [0.03%]
具有动态连接的随机神经场中丘陵的多尺度运动和变形
Heather L Cihak,Zachary P Kilpatrick
Heather L Cihak
The distinct timescales of synaptic plasticity and neural activity dynamics play an important role in the brain's learning and memory systems. Activity-dependent plasticity reshapes neural circuit architecture, determining spontaneous and s...
Daniel A Messenger,David M Bortz
Daniel A Messenger
We present a novel weak formulation and discretization for discovering governing equations from noisy measurement data. This method of learning differential equations from data fits into a new class of algorithms that replace pointwise deri...
Computational model of electrode-induced microenvironmental effects on pH measurements near a cell membrane [0.03%]
电极引起的微环境对细胞膜附近pH测量的影响的计算模型
D Calvetti,J Prezioso,R Occhipinti et al.
D Calvetti et al.
The mechanism of gas transport across cell membranes remains a topic of considerable interest, particularly regarding the extent to which lipids vs. specific membrane proteins provide conduction pathways. Studies of transmembrane (CO2) tran...
David Aristoff,Daniel M Zuckerman
David Aristoff
We propose parameter optimization techniques for weighted ensemble sampling of Markov chains in the steady-state regime. Weighted ensemble consists of replicas of a Markov chain, each carrying a weight, that are periodically resampled accor...
A MATHEMATICAL MODEL OF PLATELET AGGREGATION IN AN EXTRAVASCULAR INJURY UNDER FLOW [0.03%]
流动下血小板在外血管损伤处聚集的数学模型
Kathryn G Link,Matthew G Sorrells,Nicholas A Danes et al.
Kathryn G Link et al.
We present the first mathematical model of flow-mediated primary hemostasis in an extravascular injury which can track the process from initial deposition to occlusion. The model consists of a system of ordinary differential equations (ODEs...
RIGID GRAPH COMPRESSION: MOTIF-BASED RIGIDITY ANALYSIS FOR DISORDERED FIBER NETWORKS [0.03%]
无序纤维网络的压缩算法及其 rigity 分析研究
Samuel Heroy,Dane Taylor,F Bill Shi et al.
Samuel Heroy et al.
Using particle-scale models to accurately describe property enhancements and phase transitions in macroscopic behavior is a major engineering challenge in composite materials science. To address some of these challenges, we use the graph th...
Dane Taylor,Sean A Myers,Aaron Clauset et al.
Dane Taylor et al.
Numerous centrality measures have been developed to quantify the importances of nodes in time-independent networks, and many of them can be expressed as the leading eigenvector of some matrix. With the increasing availability of network dat...
MESOSCOPIC MODELING OF STOCHASTIC REACTION-DIFFUSION KINETICS IN THE SUBDIFFUSIVE REGIME [0.03%]
次扩散制备下随机反应扩散动力学的介观模型研究
Emilie Blanc,Stefan Engblom,Andreas Hellander et al.
Emilie Blanc et al.
Subdiffusion has been proposed as an explanation of various kinetic phenomena inside living cells. In order to fascilitate large-scale computational studies of subdiffusive chemical processes, we extend a recently suggested mesoscopic model...
ACCURATE CHEMICAL MASTER EQUATION SOLUTION USING MULTI-FINITE BUFFERS [0.03%]
使用多有限缓冲区实现准确的化学主方程求解方法
Youfang Cao,Anna Terebus,Jie Liang
Youfang Cao
The discrete chemical master equation (dCME) provides a fundamental framework for studying stochasticity in mesoscopic networks. Because of the multi-scale nature of many networks where reaction rates have large disparity, directly solving ...