“There Are Different Ways You Can Be Good at Math”: Quantitative Literacy, Mathematical Modeling, and Reading the World

2021 ◽  
pp. 54-75
Author(s):  
K. Simic-Muller
Keyword(s):  
Mathematical Modeling ◽  
Quantitative Literacy ◽  
The World

Mathematical modeling of fluid movement inside the eyeball during intravitreal injection

2021 ◽  
pp. 106-109
Author(s):  
D.V. Lipatov ◽  
◽  
S.A. Skladchikov ◽  
N.P. Savenkova ◽  
V.V. Novoderezkin ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Residence Time ◽  
Complex Structure ◽  
Posterior Vitreous Detachment ◽  
Vitreous Body ◽  
Complete Removal ◽  
Intravitreal Injections ◽  
The World

Background. The avalanche-like growth of intravitreal injections in the world has significantly increased interest in the hemodynamics of the processes that occur in the eye when a drug is injected into the vitreous cavity. Every year, the number of intravitreally used drugs and promising areas in which they can be used is growing. This also applies to the creation of new combined medicines and the development of drugs with a long-term therapeutic effect. Aims. Create mathematical model of eyeball to evaluate the movement of the drug substance in it; to estimate the time of the drug's presence in the eye cavity before its complete removal, to characterize the ways of its removal from the eye cavity; to assess the significance of posterior vitreous detachment during the time when the drug is present in the eye cavity; to evaluate the effect on the hydrodynamics of the depth of drug administration. Results. When the drug is administered closer to the center of the eyeball, its residence time increases in comparison with the parietal administration. With a complete posterior detachment of the vitreous body, the time of finding the drug in the eye is prolonged compared to its absence. The obtained results of mathematical modeling of the movement of the drug administered intravitreally cannot be mechanically transferred to the human eye, due to the more complex structure of the latter. Key words: intravitreal injections, vitreous body, mathematic computing.

Effectiveness of a Lockdown Policy During a Global Pandemic

2021 ◽  
Vol 01 ◽  
Author(s):  
Yung Chin Shih
Keyword(s):  
Mathematical Modeling ◽  
Input Data ◽  
World Health ◽  
The Public ◽  
Public Managers ◽  
Global Pandemic ◽  
The World ◽  
Expected Benefits ◽  
Simultaneous Loss ◽  
Health Organization

Background: In 2019, when the World Health Organization (WHO) declared COVID-19 (Coronavirus 2019) a pandemic, many of the public managers faced tough situations in their cities due to the simultaneous loss of lives and jobs. In this regard, this study aims to propose a concise model that considers variables like the number of deaths, lethality of the virus, number of jobs and taxes collected by city halls, among others. Our study considers these issues in providing a relevant response and consistent answer to deliberations on the way forward. Method: Mathematical modeling was used to analyze the interaction between the agents involved and computer simulation was chosen to collect results. Results: - Changing the lockdown level (fixed and variable), the results of number of death per week, total number of unemployed, cost of companies and so on are shown. - The results show that for the input data considered, the 0% lockdown (LD) policy is more effective for the economy and tax collection and also succeeds in repressing the effects on the number of deaths. Because of it, the comparison between with pandemic and without pandemic is provided (in percentage). Conclusion: This study shows that implementing the lockdown did not bring expected benefits, because instead of reducing the number of deaths due to the COVID-19, individuals tend to die more from other causes.

A brief survey of the state of mathematical modeling aroung the world

ZDM ◽  
2006 ◽  
Vol 38 (3) ◽  
pp. 212-213 ◽  
Author(s):  
Bharath Sriraman ◽  
Gabriele Kaiser ◽  
Morten Blomhøj
Keyword(s):  
Mathematical Modeling ◽  
The State ◽  
The World

Activities: Massive Graphs, Power Laws, and the World Wide Web

2003 ◽  
Vol 96 (6) ◽  
pp. 434-439
Author(s):  
L. Charles Biehl
Keyword(s):  
Mathematical Modeling ◽  
World Wide ◽  
Transportation Networks ◽  
Power Laws ◽  
Line Segments ◽  
Massive Graphs ◽  
Straight Line ◽  
Edge Graph ◽  
The World ◽  
Set Of Points

Mathematical modeling has seen many changes over the years. These changes range from the types of situations being modeled to the types of tools used for the modeling. An extremely powerful modeling tool for many situations is the vertex-edge graph (hereafter simply called a graph). In this type of graph, a set of points, called vertices (or nodes), represent objects, people, or other ideas. The nodes can be connected with (not necessarily straight) line segments, called edges (or arcs), to show a relationship between the nodes. Graphs are used to model everything from transportation networks to groups of friends.

Building picture frames

2016 ◽  
Vol 23 (5) ◽  
pp. 274-277
Author(s):  
Stephanie Sluyter
Keyword(s):  
Mathematical Modeling ◽  
Elementary School ◽  
Elementary School Teachers ◽  
School Teachers ◽  
The World

This month's problem offers students an opportunity to determine where we find math in the world, interpret it, and engage in mathematical modeling. Each month, elementary school teachers are presented with a problem along with suggested instructional notes and asked to use the problem in their own classrooms and report solutions, strategies, reflections, and misconceptions to the journal audience.

scholarly journals Analysis and Prediction for the Spreading of Covid-19 Pandemic in India Using Mathematical Modeling

2020 ◽  
Author(s):  
Nanda Poddar ◽  
Subham Dhar ◽  
Kajal Kumar Mondal ◽  
Gourab Saha
Keyword(s):  
Mathematical Modeling ◽  
Applied Mathematics ◽  
Medical Science ◽  
Spreading Rate ◽  
Living Room ◽  
Daily Lives ◽  
Infected People ◽  
Effective Strategies ◽  
The World ◽  
Novel Coronavirus

In the present time, the biggest problem of the world is the outbreak of novel coronavirus. Novel coronavirus (COVID-19), this one name has become a part of our daily lives over the past few months. Beyond the boundaries of medical science, coronavirus is now the main subject of research in all fields like Applied Mathematics, Economy, Philosophy, Sociology, Politics upto living room. The epidemic has brought unimaginable changes in our traditional habits and daily routines. Thousands of people in our country are fighting with the rest of the world to survive in various new situations. There are different kinds of coronavirus appeared in different times. In this time, Severe Acute Respiratory Syndrome Coronavirus-2 (SARS-CoV-2) is responsible for the coronavirus disease of 2019 (COVID-19). This virus was first identified towards the end of 2019 in the city of Wuhan in the province of Hubei in China. Within very short duration of time and very fast, it has spread throughout a large part of the world. In this study, the main aim is to investigate the spreading rate, death rate, recovery rate due to corona virus infection and to study the future of the coronavirus in India by using mathematical modeling based on the previous data. Mathematical models, in this situation, are the important tools in recruiting effective strategies to fight this epidemic. India is at high risk of spreading the disease and is facing many losses in socio-economic aspects. With current infection rates and existing levels of personal alertness, the number of infected people in India will increase at least in the next three months. Proper social awareness, maintain of social distance, large rate of testing and separation may break the chain of the Coronavirus-2.

scholarly journals Dynamics of COVID-19 Transmission: Compartmental-based Mathematical Modeling

2020 ◽  
Vol 1 (supplement) ◽  
pp. 5
Author(s):  
Amna Ishtiaq
Keyword(s):  
Mathematical Modeling ◽  
Severe Acute Respiratory Syndrome ◽  
Statistical Models ◽  
Intervention Strategies ◽  
Transmission Dynamics ◽  
Transmission Dynamic ◽  
Policy Makers ◽  
Future Scenario ◽  
Dynamic Framework ◽  
The World

The current pandemic of coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-Cov2) demands scientists all over the world to make their possible contributions in whatever way possible to control this disease. In such health emergency, mathematical epidemiologists are playing a pivotal role by constructing different mathematical and statistical models for predicting different future scenario and their impact on different intervention strategies to policy makers and health legislators. Compartmental-based models (CBM), are a type of transmission dynamic framework, which are one of the most studied models during this pandemic. This communication highlights the role CBM models play for the understanding of COVID-19 transmission dynamics.

Categories for the Working Philosopher

2018 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Computer Science ◽  
Category Theory ◽  
Proof Theory ◽  
Scientific Theories ◽  
General Audience ◽  
Seminal Work ◽  
The World

Borrowing from the title of Saunders Mac Lane’s seminal work Categories for the Working Mathematician, this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world. Moreover, it aims to do this in a way that is accessible to a general audience. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that is accessible and is intended to build on the concepts already familiar to those philosophers working in these areas.

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