scholarly journals A simple approximate mathematical model to predict the number of severe acute respiratory syndrome cases and deaths

2003 ◽  
Vol 57 (10) ◽  
pp. 831-835 ◽  
Author(s):  
B C K Choi
Keyword(s):  
Mathematical Model ◽  
Severe Acute Respiratory Syndrome ◽  
Approximate Mathematical Model

scholarly journals Modelling the population-level protection conferred by COVID-19 vaccination

2021 ◽  
Author(s):  
Pranesh Padmanabhan ◽  
Rajat Desikan ◽  
Narendra M Dixit
Keyword(s):  
Mathematical Model ◽  
Severe Acute Respiratory Syndrome ◽  
Dose Response ◽  
Neutralizing Antibodies ◽  
Population Level ◽  
Response Curves ◽  
Post Vaccination ◽  
Dose Response Curves ◽  
Vaccine Availability

Although severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) vaccines work predominantly by eliciting neutralizing antibodies (NAbs), how the protection they confer depends on the NAb response to vaccination is unclear. Here, we collated and analysed in vitro dose-response curves of >70 NAbs and constructed a landscape defining the spectrum of neutralization efficiencies of NAbs elicited. We mimicked responses of individuals by sampling NAb subsets of known sizes from the landscape and found that they recapitulated responses of convalescent patients. Combining individual responses with a mathematical model of within-host SARS-CoV-2 infection post-vaccination, we predicted how the population-level protection conferred would increase with the NAb response to vaccination. Our predictions captured the outcomes of vaccination trials. Our formalism may help optimize vaccination protocols, given limited vaccine availability.

An approximate mathematical model for three-phase multistaged separators

AIChE Journal ◽  
1982 ◽  
Vol 28 (1) ◽  
pp. 49-55 ◽  
Author(s):  
G. Buzzi Ferraris ◽  
M. Morbidelli
Keyword(s):  
Mathematical Model ◽  
Three Phase ◽  
Approximate Mathematical Model

scholarly journals Modeling the Influence of Vaccine Administration on COVID-19 Testing Strategies

Viruses ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2546
Author(s):  
Jonathan E. Forde ◽  
Stanca M. Ciupe
Keyword(s):  
Mathematical Model ◽  
Severe Acute Respiratory Syndrome ◽  
Vaccine Administration ◽  
Multi Scale ◽  
Testing Strategies ◽  
The Impact

Vaccination is considered the best strategy for limiting and eliminating the COVID-19 pandemic. The success of this strategy relies on the rate of vaccine deployment and acceptance across the globe. As these efforts are being conducted, the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is continuously mutating, which leads to the emergence of variants with increased transmissibility, virulence, and resistance to vaccines. One important question is whether surveillance testing is still needed in order to limit SARS-CoV-2 transmission in a vaccinated population. In this study, we developed a multi-scale mathematical model of SARS-CoV-2 transmission in a vaccinated population and used it to predict the role of testing in an outbreak with variants of increased transmissibility. We found that, for low transmissibility variants, testing was most effective when vaccination levels were low to moderate and its impact was diminished when vaccination levels were high. For high transmissibility variants, widespread vaccination was necessary in order for testing to have a significant impact on preventing outbreaks, with the impact of testing having maximum effects when focused on the non-vaccinated population.

scholarly journals Online dashboard and data analysis approach for assessing COVID-19 case and death data

F1000Research ◽  
2020 ◽  
Vol 9 ◽  
pp. 570 ◽  
Author(s):  
Hector Florez ◽  
Sweta Singh
Keyword(s):  
Mathematical Model ◽  
Data Analysis ◽  
Severe Acute Respiratory Syndrome ◽  
World Health ◽  
Global Pandemic ◽  
The World ◽  
Different Types ◽  
Computer Based ◽  
Health Organization ◽  
Death Data

The 2019-2020 global pandemic has been caused by a disease called coronavirus disease 2019 (COVID-19). This disease has been caused by the Severe Acute Respiratory Syndrome coronavirus-2 (SARS-CoV-2). By April 30 2020, the World Health Organization reported 3,096,626 cases and 217,896 deaths, which implies an exponential growth for infection and deaths worldwide. Currently, there are various computer-based approaches that present COVID-19 data through different types of charts, which is very useful to recognise its behavior and trends. Nevertheless, such approaches do not allow for observation of any projection regarding confirmed cases and deaths, which would be useful to understand the trends of COVID-19. In this work, we have designed and developed an online dashboard that presents actual information about COVID-19. Furthermore, based on this information, we have designed a mathematical model in order to make projections about the evolution of cases and deaths worldwide and by country.

scholarly journals A Mathematical Model for the Effect of Social Distancing on the Spread of COVID-19

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Anna Singley ◽  
Hannah Callender Highlander
Keyword(s):  
Mathematical Model ◽  
Severe Acute Respiratory Syndrome ◽  
Public Involvement ◽  
Sir Model ◽  
Heterogeneous Populations ◽  
Social Distancing ◽  
Epidemic Dynamics ◽  
Societal Participation ◽  
Eventual Outcome

Social distancing is an effective method of impeding the spread of a novel disease such as severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), but is dependent on public involvement and is susceptible to failure when sectors of the population fail to participate. A standard SIR model is largely incapable of modeling differences in a population due to the broad generalizations it makes such as uniform mixing and homogeneity of hosts, which results in lost detail and accuracy when modeling heterogeneous populations. By further compartmentalizing an SIR model, via the separation of people within susceptible and infected groups, we can more accurately model epidemic dynamics and predict the eventual outcome, highlighting the importance of societal participation in social distancing measures during novel outbreaks.

Sign in / Sign up

Export Citation Format

Share Document