Global asymptotic stability of a delay differential equation model for SARS-CoV-2 virus infection mediated by ACE2 receptor protein [0.03%]
由ACE2受体介导的SARS-CoV-2感染的延迟微分方程模型的全局渐近稳定性
Jinlong Lv,Wanbiao Ma
Jinlong Lv
The COVID-19 pandemic has brought a serious threat to human life safety worldwide. SARS-CoV-2 virus mainly binds to the target cell surface receptor ACE2 (Angiotensin-converting enzyme 2 ) through the S protein expressed on the surface of t...
Virus replication and competition in a cell culture: Application to the SARS-CoV-2 variants [0.03%]
病毒复制与竞争：细胞培养中的冠状病毒变种为例
L Ait Mahiout,A Mozokhina,A Tokarev et al.
L Ait Mahiout et al.
Viral replication in a cell culture is described by a delay reaction-diffusion system. It is shown that infection spreads in cell culture as a reaction-diffusion wave, for which the speed of propagation and viral load can be determined both...
On the dynamical model for COVID-19 with vaccination and time-delay effects: A model analysis supported by Yangzhou epidemic in 2021 [0.03%]
关于具有疫苗接种和时滞效应的COVID-19动态模型：基于2021年扬州疫情的模型分析
Liyan Wang,Qiang Zhang,Jijun Liu
Liyan Wang
The 2019 novel coronavirus (COVID-19) emerged at the end of 2019 has a great influence on the health and lives of people all over the world. The spread principle is still unclear. This paper considers a novel evolution model of COVID-19 in ...
Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion [0.03%]
通过具有异质扩散的时空分辨率的易感-暴露-感染-恢复-死亡（SEIRD）模型来模拟COVID-19的传播路径
Alex Viguerie,Guillermo Lorenzo,Ferdinando Auricchio et al.
Alex Viguerie et al.
We present an early version of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model based on partial differential equations coupled with a heterogeneous diffusion model. The model describes the spatio-temporal spread...
Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible [0.03%]
具有潜伏期传染性和对易感者居家隔离的SEIR模型的动力学行为
Jianjun Jiao,Zuozhi Liu,Shaohong Cai
Jianjun Jiao
In this paper, we present an SEIR epidemic model with infectivity in incubation period and homestead-isolation on the susceptible. We prove that the infection-free equilibrium point is locally and globally asymptotically stable with conditi...
Jason K Davis,Suzanne S Sindi
Jason K Davis
The nucleated polymerization model is a mathematical framework that has been applied to aggregation and fragmentation processes in both the discrete and continuous setting. In particular, this model has been the canonical framework for anal...
A Dynamical Modeling Approach for Analysis of Longitudinal Clinical Trials in the Presence of Missing Endpoints [0.03%]
纵向临床试验中缺失终点的动态模型分析方法研究
H T Banks,Shuhua Hu,Eric Rosenberg
H T Banks
Randomized longitudinal clinical trials are the gold standard to evaluate the effectiveness of interventions among different patient treatment groups. However, analysis of such clinical trials becomes difficult in the presence of missing da...
H T Banks,J E Banks,Kathryn Link et al.
H T Banks et al.
In the context of inverse or parameter estimation problems we demonstrate the use of statistically based model comparison tests in several examples of practical interest. In these examples we are interested in questions related to informati...
Optimal Design of Non-equilibrium Experiments for Genetic Network Interrogation [0.03%]
基因网络探究的非平衡实验的最佳设计
Kaska Adoteye,H T Banks,Kevin B Flores
Kaska Adoteye
Many experimental systems in biology, especially synthetic gene networks, are amenable to perturbations that are controlled by the experimenter. We developed an optimal design algorithm that calculates optimal observation times in conjuncti...
A structured population modeling framework for quantifying and predicting gene expression noise in flow cytometry data [0.03%]
定量和预测流动式细胞仪数据分析中基因表达噪声的结构种群建模框架
Kevin B Flores
Kevin B Flores
We formulated a structured population model with distributed parameters to identify mechanisms that contribute to gene expression noise in time-dependent flow cytometry data. The model was validated using cell population-level gene expressi...