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To strengthen inferences meta analyses are commonly used to summarize information from a set of independent studies. In some cases, though, the data may not satisfy the assumptions underlying the meta analysis. Using three Bayesian methods…

Applications · Statistics 2022-04-07 Dexter Cahoy , Joseph Sedransk

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

Massively-parallel molecular dynamics simulation is applied to systems containing electrolytes, vapour-liquid interfaces, and biomolecules in contact with water-oil interfaces. Novel molecular models of alkali halide salts are presented and…

Accurate predictions of reactive mixing are critical for many Earth and environmental science problems. To investigate mixing dynamics over time under different scenarios, a high-fidelity, finite-element-based numerical model is built to…

Machine Learning · Statistics 2021-03-17 B. Ahmmed , M. K. Mudunuru , S. Karra , S. C. James , V. V. Vesselinov

Endpoint dilution (TCID50) assays cannot count the number of infectious virions (IVs), and instead are limited to counting the number of Specific INfections caused by the sample (SIN). The latter depends not only on whether virions are…

Active cellular transport is a fundamental mechanism for protein and vesicle delivery, cell cycle and molecular degradation. Viruses can hijack the transport system and use it to reach the nucleus. Most transport processes consist of…

Quantitative Methods · Quantitative Biology 2009-11-13 T. Lagache , D. Holcman

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

A summary is given of the mechanical characteristics of virus contaminants and the transmission via droplets and aerosols. The ordinary and partial differential equations describing the physics of these processes with high fidelity are…

Physics and Society · Physics 2020-06-25 Rainald Löhner , Harbir Antil , Sergio Idelsohn , Eugenio Oñate

Cell polarity and movement are fundamental to many biological functions. Experimental and theoretically studies have indicated that interactions of certain proteins lead to the cell polarization which plays a key role in controlling the…

Dynamical Systems · Mathematics 2022-08-12 Shuang Liu , Li-Tien Cheng , Bo Li

In this contribution we investigate how to describe the results and usage of evolutionary synthesis models. In particular, we look for an explicit and quantitative description of the parameter space of synthesis models and the evaluation of…

Astrophysics · Physics 2007-11-12 M. Cervino , V. luridiana

We study a resource allocation problem for containing an infectious disease in a metapopulation subject to resource uncertainty. We propose a two-stage model where the policy maker seeks to allocate resources in both stages where the second…

Optimization and Control · Mathematics 2020-06-03 Ceyda Yaba Best , Amin Khademi , Burak Eksioglu

To evaluate the calibration of a disease risk prediction tool, the quantity $E/O$, i.e., the ratio of the expected number of events to the observed number of events, is generally computed. However, because of censoring, or more precisely…

Applications · Statistics 2007-10-30 V. Viallon , J. Benichou , F. Clavel-Chapelon , S. Ragusa

Uncertainty can be classified as either aleatoric (intrinsic randomness) or epistemic (imperfect knowledge of parameters). The majority of frameworks assessing infectious disease risk consider only epistemic uncertainty. We only ever…

Navigation of microorganisms is controlled by internal processes ultimately sensitive to mechanical or chemical signaling encountered along the path. In many natural environments, such as porous soils or physiological ducts, motile species…

Infectious diseases, either emerging or long-lasting, place numerous people at risk and bring heavy public health burdens worldwide. In the process against infectious diseases, predicting the epidemic risk by modeling the disease…

Machine Learning · Computer Science 2023-08-08 Mutong Liu , Yang Liu , Jiming Liu

Connecting the different scales of epidemic dynamics, from individuals to communities to nations, remains one of the main challenges of disease modeling. Here, we revisit one of the largest public health efforts deployed against a localized…

In this paper we study a nonlinear reaction-diffusion system which models an infectious disease caused by bacteria such as those for cholera. One of the significant features in this model is that a certain portion of the recovered human…

Analysis of PDEs · Mathematics 2022-02-01 Hong-Ming Yin , Jun Zou

The accurate estimation of time-varying transmission rates is fundamental for understanding infectious disease dynamics and implementing effective public health interventions. To this end, we propose an improved inverse method for…

Populations and Evolution · Quantitative Biology 2025-12-17 Shuanglin Jing , Yuting Huang , Hai-Feng Huo

We propose a simple model for understanding the kinetics of corona virus transmission. Our model assume spreading of corona virus can happen from one to another only, if someone without enough protection comes close contact to a person…

Populations and Evolution · Quantitative Biology 2020-03-25 Proma Mondal , Timothy A. Gonsalves , Aniruddha Chakraborty

Despite the progress in medical data collection the actual burden of SARS-CoV-2 remains unknown due to under-ascertainment of cases. This was apparent in the acute phase of the pandemic and the use of reported deaths has been pointed out as…

Applications · Statistics 2023-07-13 Anastasia Chatzilena , Nikolaos Demiris , Konstantinos Kalogeropoulos
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