Yogesh Trivedi,Anushaya Mohapatra
Yogesh Trivedi
Environmental stochasticity is pivotal in shaping population dynamics by introducing random fluctuations in habitat conditions, resource availability, and survival probabilities. These fluctuations often drive critical ecological processes,...
Guo Lin,Jiantao Lin,Shuxia Pan
Guo Lin
The geographic spread of a disease epidemic has long been a key focus of public attention. This article investigates the spreading properties of a reaction-diffusion system, which models the Susceptible-Vaccinated-Infected-Recovered-Suscept...
A compartmental model for epidemiology with human behavior and stochastic effects [0.03%]
一个考虑人为因素和随机效应的传染病传播分隔模型
Christian Parkinson,Weinan Wang
Christian Parkinson
We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that non...
Environmental drivers of tuberculosis transmission in Guangdong, China: Integrating generalized additive models and dynamic simulations [0.03%]
驱动中国广东省结核病传播的环境因素：广义可加模型和动态模拟整合分析
Lingming Kong,Yanying Mo,Guanghu Zhu et al.
Lingming Kong et al.
Tuberculosis (TB) remains a critical global public health challenge, particularly in high-burden regions like Guangdong Province, China. This study develops an integrated framework combining generalized additive models (GAM) and non-autonom...
New results on traveling wave solutions for a Keller-Segel system with nonlinear chemical gradient [0.03%]
一类非线性化学浓度梯度的Keller-Segel模型行波解的新进展
Shangbing Ai,Jianhe Shen
Shangbing Ai
We study a Keller-Segel system with nonlinear chemical gradient. The system contains two parameters c > 0 and ε > 0 and has a family of equilibria (u*,v±*) with u1*
Early-stage invasion and spreading speed in a resource-dependent dispersal model [0.03%]
资源依赖扩散模型中的早期入侵和传播速度
Jean-Baptiste Burie,Arnaud Ducrot,Ousmane Seydi
Jean-Baptiste Burie
In this paper, we study the dynamics of biological invasion through complementary modeling frameworks in the context of nonlocal resource-driven dispersal. During the very early stage of invasion, when only a few individuals are present, de...
Optimal experimental design for parameter estimation in the presence of observation noise [0.03%]
观测噪声下的参数估计的最优实验设计
Jie Qi,Ruth E Baker
Jie Qi
Mathematical models play an increasingly important role in interpreting experiments, particularly in biology and ecology. Accurate parameter estimation is vital for quantifying observed behaviours, inferring unmeasurable ones, and making pr...
Integrating machine learning into the in silico clinical trial pipeline [0.03%]
基于计算机的临床试验体系结构中机器学习技术的应用与整合
Rebecca A Bekker,Renee Brady-Nicholls,Lisette de Pillis et al.
Rebecca A Bekker et al.
In silico clinical trials offer a powerful tool for overcoming several limitations of traditional clinical trials. Conventional trials are time- and resource-intensive, typically designed to assess average effects across a population while ...
Taylor Kearney,Mark B Flegg
Taylor Kearney
Particle-based simulations are an essential tool for the study of biochemical systems for scales between molecular/Brownian dynamics and the reaction-diffusion master equation. These simulations utilise proximity-based reaction conditions a...
Exploring the role of osteoblast-lineage cells in the evolutionary dynamics of acute myeloid leukemia through a stochastic differential equation model [0.03%]
基于随机微分方程模型探讨成骨细胞谱系细胞在急性髓系白血病进化动力学中的作用
Shizhao Ma,Xiulan Lai
Shizhao Ma
Acute myeloid leukemia (AML) is characterized by the uncontrolled proliferation of abnormal myeloid cells in the bone marrow and peripheral blood. In this study, we develop a stochastic differential equation model to capture the dynamic int...