Computational Modeling Of The Covid-19 Disease: Numerical Ode Analysis With R Programming

Computational Modeling Of The Covid-19 Disease: Numerical Ode Analysis With R Programming
Author: William E Schiesser
Publisher: World Scientific
Total Pages: 109
Release: 2020-06-16
Genre: Medical
ISBN: 9811222894

Download Computational Modeling Of The Covid-19 Disease: Numerical Ode Analysis With R Programming Book in PDF, Epub and Kindle

The book is intended for readers who are interested in learning about the use of computer-based modelling of the COVID-19 disease. It provides a basic introduction to a five-ordinary differential equation (ODE) model by providing a complete statement of the model, including a detailed discussion of the ODEs, initial conditions and parameters, followed by a line-by-line explanation of a set of R routines (R is a quality, scientific programming system readily available from the Internet). The reader can access and execute these routines without having to first study numerical algorithms and computer coding (programming) and can perform numerical experimentation with the model on modest computers.

Numerical Modeling of COVID-19 Neurological Effects

Numerical Modeling of COVID-19 Neurological Effects
Author: William Schiesser
Publisher: CRC Press
Total Pages: 165
Release: 2021-12-27
Genre: Mathematics
ISBN: 1000509982

Download Numerical Modeling of COVID-19 Neurological Effects Book in PDF, Epub and Kindle

Covid-19 is primarily a respiratory disease which results in impaired oxygenation of blood. The O2-deficient blood then moves through the body, and for the study in this book, the focus is on the blood flowing to the brain. The dynamics of blood flow along the brain capillaries and tissue is modeled as systems of ordinary and partial differential equations (ODE/PDEs). The ODE/PDE methodology is presented through a series of examples, 1. A basic one PDE model for O2 concentration in the brain capillary blood. 2. A two PDE model for O2 concentration in the brain capillary blood and in the brain tissue, with O2 transport across the blood brain barrier (BBB). 3. The two model extended to three PDEs to include the brain functional neuron cell density. Cognitive impairment could result from reduced neuron cell density in time and space (in the brain) that follows from lowered O2 concentration (hypoxia). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. The routines can then be applied to variations and extensions of the blood/brain hypoxia models, such as changes in the ODE/PDE parameters (constants) and form of the model equations.

Covid-19 Unmasked: The News, The Science, And Common Sense

Covid-19 Unmasked: The News, The Science, And Common Sense
Author: Winfried Just
Publisher: World Scientific
Total Pages: 408
Release: 2021-03-11
Genre: Medical
ISBN: 9811233616

Download Covid-19 Unmasked: The News, The Science, And Common Sense Book in PDF, Epub and Kindle

How can we keep up with the deluge of information about COVID-19 and tell which parts are most important and trustworthy?We read: 'Scientists recommend', 'Experts warn', 'A new model predicts'. How do scientific experts come up with their recommendations? What do their predictions really mean for us, for our friends, and our families?How can we make rational decisions? And how can we have sensible conversations about the pandemic when we disagree?These are the questions that this book is trying to address.It is written in the form of dialogues. Alice, a student of epidemiology, explains the science to three of her fellow students who have a lot of questions for her. The students have the same concerns that we all share to varying degrees: What the pandemic is doing to our health, our economy, and our cherished freedoms. In their conversations, they discover how the science relates to these questions.The book focuses on epidemiology, the science of how infections spread and how the spread can be mitigated. The science of how many infections can be prevented by certain kinds of actions. This is what we need to understand if we want to act wisely, as individuals and as a society.The author's goal is to help the reader think about the COVID-19 pandemic like an epidemiologist. About the various preventive measures, what they are trying to accomplish, what the obstacles are. About what is likely to be most effective in the long run at moderate economic and personal cost. About the likely consequences of personal decisions. About how to best protect oneself and others while allowing all of us to lead lives that are as close as possible to normal.While some chapters present slightly more advanced material than others, no scientific background is needed to follow the conversations. The technical concepts are explained in small steps and the occasional calculations in the book require only high-school mathematics.Related Link(s)

Computational Epidemiology

Computational Epidemiology
Author: Ellen Kuhl
Publisher: Springer Nature
Total Pages: 312
Release: 2021-09-22
Genre: Technology & Engineering
ISBN: 3030828905

Download Computational Epidemiology Book in PDF, Epub and Kindle

This innovative textbook brings together modern concepts in mathematical epidemiology, computational modeling, physics-based simulation, data science, and machine learning to understand one of the most significant problems of our current time, the outbreak dynamics and outbreak control of COVID-19. It teaches the relevant tools to model and simulate nonlinear dynamic systems in view of a global pandemic that is acutely relevant to human health. If you are a student, educator, basic scientist, or medical researcher in the natural or social sciences, or someone passionate about big data and human health: This book is for you! It serves as a textbook for undergraduates and graduate students, and a monograph for researchers and scientists. It can be used in the mathematical life sciences suitable for courses in applied mathematics, biomedical engineering, biostatistics, computer science, data science, epidemiology, health sciences, machine learning, mathematical biology, numerical methods, and probabilistic programming. This book is a personal reflection on the role of data-driven modeling during the COVID-19 pandemic, motivated by the curiosity to understand it.

Mathematical Modeling Of Virus Infection: Ode/pde Analysis In R

Mathematical Modeling Of Virus Infection: Ode/pde Analysis In R
Author: William E Schiesser
Publisher: World Scientific
Total Pages: 178
Release: 2021-03-17
Genre: Medical
ISBN: 9811236658

Download Mathematical Modeling Of Virus Infection: Ode/pde Analysis In R Book in PDF, Epub and Kindle

Two models for the spread and control of a virus are detailed in this book: The Lung/Respiratory System Model (LSM) and the SVIR (Susceptible-Vaccinated-Infected-Recovered) Model.The LSM gives the spatiotemporal distribution of four viral-related proteins: virus population density along the lung air passage, host cell primary infection protein (viral genetic material (VGM)) concentration, host cell secondary infection protein (VGM) concentration, and air stream virion population density.The model is executed for a single inhalation, and a series of inhalation/exhalation cycles. For the latter, the progression of the viral infection into the lung is a principal result.The SVIR is first formulated as a system of ordinary differential equations (ODEs) in time, then extended to a system of PDEs to account for spatial effects (spatiotemporal modeling).Principal outputs from the ODE/PDE models are the levels of vaccinations and infections. For the latter, the efficacy of the vaccine is a parameter that can be varied in a computer-based analysis of a vaccine therapy.The coding of the models is in R, a quality, open-source scientific computing system, and can be executed on modest computers. The R routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. The routines can then be applied to variations and extensions of the ODE/PDE models, such as changes in the parameters and the form of the model equations.

Computational Modelling and Imaging for SARS-CoV-2 and COVID-19

Computational Modelling and Imaging for SARS-CoV-2 and COVID-19
Author: S. Prabha
Publisher: CRC Press
Total Pages: 144
Release: 2021-09-02
Genre: Medical
ISBN: 1000439372

Download Computational Modelling and Imaging for SARS-CoV-2 and COVID-19 Book in PDF, Epub and Kindle

The aim of this book is to present new computational techniques and methodologies for the analysis of the clinical, epidemiological and public health aspects of SARS-CoV-2 and COVID-19 pandemic. The book presents the use of soft computing techniques such as machine learning algorithms for analysis of the epidemiological aspects of the SARS-CoV-2. This book clearly explains novel computational image processing algorithms for the detection of COVID-19 lesions in lung CT and X-ray images. It explores various computational methods for computerized analysis of the SARS-CoV-2 infection including severity assessment. The book provides a detailed description of the algorithms which can potentially aid in mass screening of SARS-CoV-2 infected cases. Finally the book also explains the conventional epidemiological models and machine learning techniques for the prediction of the course of the COVID-19 epidemic. It also provides real life examples through case studies. The book is intended for biomedical engineers, mathematicians, postgraduate students; researchers; medical scientists working on identifying and tracking infectious diseases.

Computational Modeling of Infectious Disease

Computational Modeling of Infectious Disease
Author: Chris von Csefalvay
Publisher: Elsevier
Total Pages: 478
Release: 2023-02-14
Genre: Computers
ISBN: 0323958370

Download Computational Modeling of Infectious Disease Book in PDF, Epub and Kindle

Computational Modeling of Infectious Disease: With Applications in Python provides an illustrated compendium of tools and tactics for analyzing infectious diseases using cutting-edge computational methods. From simple S(E)IR models, and through time series analysis and geospatial models, this book is both a guided tour through the computational analysis of infectious diseases and a quick-reference manual. Chapters are accompanied by extensive practical examples in Python, illustrating applications from start to finish. This book is designed for researchers and practicing infectious disease forecasters, modelers, data scientists, and those who wish to learn more about analysis of infectious disease processes in the real world. Connects computational infectious disease analysis to state-of-the-art data science Conveys ideas on epidemiology and infectious disease modeling in a clear, accessible way Provides code examples to elucidate best practices

Mathematical Modeling of Virus Infection

Mathematical Modeling of Virus Infection
Author: William E. Schiesser
Publisher:
Total Pages: 178
Release: 1901
Genre: Electronic books
ISBN: 9789811236648

Download Mathematical Modeling of Virus Infection Book in PDF, Epub and Kindle