SPREADING SPEEDS AND TRAVELING WAVES FOR NON-COOPERATIVE INTEGRO-DIFFERENCE SYSTEMS [0.03%]
非合作型积分差分系统的传播速度和行波解
Haiyan Wang,Carlos Castillo-Chavez
Haiyan Wang
The study of spatially explicit integro-difference systems when the local population dynamics are given in terms of discrete-time generations models has gained considerable attention over the past two decades. These nonlinear systems arise ...
A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness [0.03%]
具有阿尔利效应和疾病修改的适应度的野外种群的简单传染病模型
Yun Kang,Carlos Castillo-Chavez
Yun Kang
The study of the dynamics of human infectious disease using deterministic models is typically carried out under the assumption that a critical mass of individuals is available and involved in the transmission process. However, in the study ...
ROBUSTNESS OF MORPHOGEN GRADIENTS WITH "BUCKET BRIGADE" TRANSPORT THROUGH MEMBRANE-ASSOCIATED NON-RECEPTORS [0.03%]
膜结合非受体介导的"传递桶"运输的形态发生素梯度的稳定性
Jinzhi Lei,Dongyong Wang,You Song et al.
Jinzhi Lei et al.
Robust multiple-fate morphogen gradients are essential for embryo development. Here, we analyze mathematically a model of morphogen gradient (such as Dpp in Drosophila wing imaginal disc) formation in the presence of non-receptors with both...
Using Fractal Geometry and Universal Growth Curves as Diagnostics for Comparing Tumor Vasculature and Metabolic Rate With Healthy Tissue and for Predicting Responses to Drug Therapies [0.03%]
采用分形几何学和通用增长曲线作为诊断手段，比较肿瘤血管和代谢率与健康组织，并预测对药物治疗的反应
Van M Savage,Alexander B Herman,Geoffrey B West et al.
Van M Savage et al.
Healthy vasculature exhibits a hierarchical branching structure in which, on average, vessel radius and length change systematically with branching order. In contrast, tumor vasculature exhibits less hierarchy and more variability in its br...
Jinzhi Lei,Frederic Y M Wan,Arthur D Lander et al.
Jinzhi Lei et al.
Quasi-stable gradients of signaling protein molecules (known as morphogens or ligands) bound to cell receptors are known to be responsible for differential cell signaling and gene expressions. From these follow different stable cell fates a...
EVALUATION OF INTERFACIAL FLUID DYNAMICAL STRESSES USING THE IMMERSED BOUNDARY METHOD [0.03%]
基于浸入边界法计算界面流体动力学应力的评估研究
Harvey A R Williams,Lisa J Fauci,Donald P Gaver rd
Harvey A R Williams
The goal of this paper is to examine the evaluation of interfacial stresses using a standard, finite difference based, immersed boundary method (IMBM). This calculation is not trivial for two fundamental reasons. First, the immersed boundar...
SOME NEW FINITE DIFFERENCE METHODS FOR HELMHOLTZ EQUATIONS ON IRREGULAR DOMAINS OR WITH INTERFACES [0.03%]
求解带内部界面的Helmholtz方程的新型差分方法
Xiaohai Wan,Zhilin Li
Xiaohai Wan
Solving a Helmholtz equation Δu + λu = f efficiently is a challenge for many applications. For example, the core part of many efficient solvers for the incompressible Navier-Stokes equations is to solve one or several Helmholtz equations....
AN AUGMENTED IMMERSED INTERFACE METHOD FOR MOVING STRUCTURES WITH MASS [0.03%]
一种求解有质量刚体运动的增强型 immersed interface方法
Jian Hao,Zhilin Li,Sharon R Lubkin
Jian Hao
We present an augmented immersed interface method for simulating the dynamics of a deformable structure with mass in an incompressible fluid. The fluid is modeled by the Navier-Stokes equations in two dimensions. The acceleration of the str...
MATHEMATICAL MODELS OF SUBCUTANEOUS INJECTION OF INSULIN ANALOGUES: A MINI-REVIEW [0.03%]
胰岛素类似物皮下注射的数学模型：简评
Jiaxu Li,James D Johnson
Jiaxu Li
In the last three decades, several models relevant to the subcutaneous injection of insulin analogues have appeared in the literature. Most of them model the absorption of insulin analogues in the injection depot and then compute the plasma...