Aaron R Dinner,Jonathan C Mattingly,Jeremy O B Tempkin et al.
Aaron R Dinner et al.
We present a general mathematical framework for trajectory stratification for simulating rare events. Trajectory stratification involves decomposing trajectories of the underlying process into fragments limited to restricted regions of stat...
Officers of the SIAM Activity Group on Computational Science and Engineering (SIAG/CSE), -
Officers of the SIAM Activity Group on Computational Science and Engineering (SIAG/CSE)
This report presents challenges, opportunities and directions for computational science and engineering (CSE) research and education for the next decade. Over the past two decades the field of CSE has penetrated both basic and applied resea...
AN EVOLUTIONARY MODEL OF TUMOR CELL KINETICS AND THE EMERGENCE OF MOLECULAR HETEROGENEITY DRIVING GOMPERTZIAN GROWTH [0.03%]
肿瘤细胞动力学的进化模型及驱动几何增长的分子异质性的发展
Jeffrey West,Zaki Hasnain,Paul Macklin et al.
Jeffrey West et al.
We describe a cell-molecular based evolutionary mathematical model of tumor development driven by a stochastic Moran birth-death process. The cells in the tumor carry molecular information in the form of a numerical genome which we represen...
Zhong Chen,Zhide Fang,Wei Fan et al.
Zhong Chen et al.
Sparse online learning and cost-sensitive learning are two important areas of machine learning and data mining research. Each has been well studied with many interesting algorithms developed. However, very limited published work addresses t...
Lipeng Ning,Tryphon T Georgiou,Allen Tannenbaum et al.
Lipeng Ning et al.
We address the problem of identifying linear relations among variables based on noisy measurements. This is a central question in the search for structure in large data sets. Often a key assumption is that measurement errors in each variabl...
Fast Analytical Methods for Macroscopic Electrostatic Models in Biomolecular Simulations [0.03%]
生物分子模拟中宏观静电模型的快速解析方法
Zhenli Xu,Wei Cai
Zhenli Xu
We review recent developments of fast analytical methods for macroscopic electrostatic calculations in biological applications, including the Poisson-Boltzmann (PB) and the generalized Born models for electrostatic solvation energy. The foc...
Guo-Wei Wei,Qiong Zheng,Zhan Chen et al.
Guo-Wei Wei et al.
This work presents a few variational multiscale models for charge transport in complex physical, chemical and biological systems and engineering devices, such as fuel cells, solar cells, battery cells, nanofluidics, transistors and ion chan...
ON IDENTIFIABILITY OF NONLINEAR ODE MODELS AND APPLICATIONS IN VIRAL DYNAMICS [0.03%]
非线性微分方程模型的可辨识性及其在病毒动力学中的应用
Hongyu Miao,Xiaohua Xia,Alan S Perelson et al.
Hongyu Miao et al.
Ordinary differential equations (ODE) are a powerful tool for modeling dynamic processes with wide applications in a variety of scientific fields. Over the last 2 decades, ODEs have also emerged as a prevailing tool in various biomedical re...
High-Frequency Oscillations of a Sphere in a Viscous Fluid near a Rigid Plane [0.03%]
粘性流体中靠近刚性平面的球的高频振荡
Richard S Chadwick,Zhijie Liao
Richard S Chadwick
High-frequency oscillations of a rigid sphere in an incompressible viscous fluid moving normal to a rigid plane are considered when the ratio of minimum clearance to sphere radius is small. Asymptotic expansions are constructed that permit ...
John W Cain,David G Schaeffer
John W Cain
If spatial extent is neglected, ionic models of cardiac cells consist of systems of ordinary differential equations (ODEs) which have the property of excitability, i.e., a brief stimulus produces a prolonged evolution (called an action pote...