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Mathematical models describing SARS-CoV-2 dynamics and the corresponding immune responses in patients with COVID-19 can be critical to evaluate possible clinical outcomes of antiviral treatments. In this work, based on the concept of virus…

In this study, we develop and analyze a nested multi-scale model for COVID -19 disease that integrates within-host scale and between-host scale sub-models. First, the well-posedness of the multi-scale model is discussed, followed by the…

动力系统 · 数学 2021-08-30 Bishal Chhetri , D. K. K Vamsi , Carani Sanjeevi

The COVID-19 pandemic has resulted in more than 14.5 million infections and 6,04,917 deaths in 212 countries over the last few months. Different drug intervention acting at multiple stages of pathogenesis of COVID-19 can substantially…

种群与进化 · 定量生物学 2023-09-01 Bhanu Prakash D , D. K. K. Vamsi , D. Bangaru Rajesh , Carani B Sanjeevi

Increasing number in global COVID-19 cases demands for mathematical model to analyze the interaction between the virus dynamics and the response of innate and adaptive immunity. Here, based on the assumption of a weak and delayed response…

Mathematical models of infectious disease transmission typically neglect within-host dynamics. Yet within-host dynamics - including pathogen replication, host immune responses, and interactions with microbiota - are crucial not only for…

种群与进化 · 定量生物学 2023-12-20 Cameron A. Smith , Ben Ashby

Oncolytic virotherapy, utilizing genetically modified viruses to combat cancer and trigger anti-cancer immune responses, has garnered significant attention in recent years. In our previous work arXiv:2305.12386, we developed a stochastic…

种群与进化 · 定量生物学 2026-04-23 David Morselli , Marcello E. Delitala , Adrianne L. Jenner , Federico Frascoli

Motivated by COVID-19, we develop and analyze a simple stochastic model for a disease spread in human population. We track how the number of infected and critically ill people develops over time in order to estimate the demand that is…

种群与进化 · 定量生物学 2022-05-10 Jakub Svoboda , Josef Tkadlec , Andreas Pavlogiannis , Krishnendu Chatterjee , Martin A. Nowak

Understanding dynamics of an outbreak like that of COVID-19 is important in designing effective control measures. This study aims to develop an agent based model that compares changes in infection progression by manipulating different…

种群与进化 · 定量生物学 2021-06-24 Anik Burman , Sayak Chatterjee , Pramit Ghosh , Indranil Mukhokadhyay

Over a year after the start of the COVID-19 epidemics, we are still facing the virus and it is hard to correctly predict its future spread over weeks to come, as well as the impacts of potential political interventions. Current epidemic…

多智能体系统 · 计算机科学 2021-12-03 Benoit Doussin , Carole Adam , Didier Georges

The COVID-19 pandemic has resulted in more than 30.35 million infections and 9, 50, 625 deaths in 212 countries over the last few months. Different drug intervention acting at multiple stages of pathogenesis of COVID-19 can substantially…

Interactions between SARS-CoV-2 and the immune system during infection are complex. However, understanding the within-host SARS-CoV-2 dynamics is of enormous importance, especially when it comes to assessing treatment options. Mathematical…

定量方法 · 定量生物学 2023-12-11 Lea Schuh , Peter V. Markov , Vladimir M. Veliov , Nikolaos I. Stilianakis

Widespread growth signatures in COVID-19 confirmed case counts are reported, with sharp transitions between three distinct dynamical regimes (exponential, superlinear and sublinear). Through analytical and numerical analysis, a novel…

种群与进化 · 定量生物学 2021-03-26 Magdalena Djordjevic , Marko Djordjevic , Bojana Ilic , Stefan Stojku , Igor Salom

The COVID-19 pandemic has severely impacted health systems and economies worldwide. Significant global efforts are therefore ongoing to improve vaccine efficacies, optimize vaccine deployment, and develop new antiviral therapies to combat…

种群与进化 · 定量生物学 2021-12-21 Rajat Desikan , Pranesh Padmanabhan , Andrzej M. Kierzek , Piet H. van der Graaf

In December 2019, a newly discovered SARS-CoV-2 virus was emerged from China and propagated worldwide as a pandemic. In the absence of preventive medicine or a ready to use vaccine, mathematical models can provide useful scientific insights…

种群与进化 · 定量生物学 2020-06-30 Indrajit Ghosh

The coronavirus disease 2019 (COVID-19) pandemic has exerted a profound impact on patients with end-stage renal disease relying on kidney dialysis to sustain their lives. Motivated by a request by the U.S. Centers for Medicare & Medicaid…

统计方法学 · 统计学 2022-09-02 Wenbo Wu , John D. Kalbfleisch , Jeremy M. G. Taylor , Jian Kang , Kevin He

To better predict the dynamics of epidemics such as COVID-19, it is important not only to investigate the network of local and long-range contagious contacts but also to understand the temporal dynamics of infectiousness and detectable…

种群与进化 · 定量生物学 2025-09-03 Miguel A. Cajahuanca Ricaldi , Yaroslav Ispolatov

We present an empirical algorithm to forecast the evolution of the number of COVID-19 symptomatic patients in the early stages of the pandemic spread and after strict social distancing interventions. The algorithm is based on a low…

种群与进化 · 定量生物学 2020-11-20 Luis Alvarez

Coupling within-host infection dynamics with population-level transmission remains a major challenge in infectious disease modeling, especially for airborne pathogens with potential to spread indoor. The frequent emergence of such diseases…

偏微分方程分析 · 数学 2025-12-18 Andrew Omame , Sarafa Iyaniwura

We propose a high dimensional Bayesian inference framework for learning heterogeneous dynamics of a COVID-19 model, with a specific application to the dynamics and severity of COVID-19 inside and outside long-term care (LTC) facilities. We…

统计方法学 · 统计学 2021-08-04 Peng Chen , Keyi Wu , Omar Ghattas

Real-world multi-agent systems are often dynamic and continuous, where the agents co-evolve and undergo changes in their trajectories and interactions over time. For example, the COVID-19 transmission in the U.S. can be viewed as a…

机器学习 · 计算机科学 2024-03-04 Zijie Huang , Jeehyun Hwang , Junkai Zhang , Jinwoo Baik , Weitong Zhang , Dominik Wodarz , Yizhou Sun , Quanquan Gu , Wei Wang
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