Mathematical Modeling Of Virus Infection: Ode/pde Analysis In R, William E Schiesser
Автор: Hattaf Khalid, Dutta Hemen Название: Mathematical Modelling and Analysis of Infectious Diseases ISBN: 3030498956 ISBN-13(EAN): 9783030498955 Издательство: Springer Рейтинг: Цена: 27950.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues. Key Features * Mathematical models that describe population prevalence or incidence of infectious diseases * Mathematical tools and techniques to analyse data on the incidence of infectious diseases * Early detection and risk estimate models of infectious diseases * Mathematical models that describe the transmission of infectious diseases and analyse data * Dynamical analysis and control strategies for infectious diseases * Studies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic
The intent of this book is to provide a methodology for the analysis of infectious diseases by computer-based mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) that provide time and spatial (spatiotemporal) variations of the model dependent variables.
The starting point is a basic ODE SIR (Susceptible Infected Recovered) model that defines the S, I, R populations as a function of time. The ODE SIR model is then exended to PDEs that demonstrate the spatiotemporal evolution of the S, I, R populations. A unique feature of the PDE model is the use of cross diffusion between populations, a nonlinear effect that is readily accommodated numerically. A second feature is the use of radial coordinates to represent the geographical distribution of the model populations.
The numerical methods for the computer implementation of ODE/PDE models for infectious diseases are illustrated with documented R routines for particular applications, including models for malaria and the Zika virus. The R routines are available from a download so that the reader can reproduce the reported solutions, then extend the applications through computer experimentation, including the addition of postulated effects and associated equations, and the implementation of alternative models of interest.
The ODE/PDE methodology is open ended and facilitates the development of computer-based models which hopefully can elucidate the causes/conditions of infectious disease evolution and suggest methods of control.
A Historical Introduction to Mathematical Modeling of Infectious Diseases: Seminal Papers in Epidemiology offers step-by-step help on how to navigate the important historical papers on the subject, beginning in the 18th century. The book carefully, and critically, guides the reader through seminal writings that helped revolutionize the field.
With pointed questions, prompts, and analysis, this book helps the non-mathematician develop their own perspective, relying purely on a basic knowledge of algebra, calculus, and statistics. By learning from the important moments in the field, from its conception to the 21st century, it enables readers to mature into competent practitioners of epidemiologic modeling.
Описание: This volume discusses the interactions between viruses and their host cells, and explores the roles of host and viral genes and non-coding RNAs in the virus replication cycle. During infection, viruses express a variety of genes, encoding proteins and RNAs that serve to subjugate the cell – by redirecting cellular processes to support viral replication and, at the same time, by mitigating the cellular response to infection. In this book, experts discuss these interactions in depth, and elaborate on our current understanding of virus-cell interactions for a diverse range of viruses, including positive and negative sense RNA viruses, DNA viruses, and a vector-borne virus. The roles of non-coding RNAs are also discussed. While each class of viruses has distinct replication requirements, this volume reveals unique features and commonalities in viral replication cycles. Accordingly, it represents a valuable source of information for researchers and clinicians alike.
Автор: Michael S. Diamond Название: West Nile Encephalitis Virus Infection ISBN: 1461497884 ISBN-13(EAN): 9781461497882 Издательство: Springer Рейтинг: Цена: 32651.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contributors to this volume focus on recent studies identifying key steps in the molecular pathogenesis of this virus infection, which has emerged as a significant cause of viral encephalitis in humans. The prospects for human therapeutics are covered.
Описание: 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.
Описание: This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies.
Автор: Marta D?az-Men?ndez; Clara Crespillo-And?jar Название: Zika Virus Infection ISBN: 3319594052 ISBN-13(EAN): 9783319594057 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book describes the demographic and clinical patterns of Zika infection and evaluates the risk of it spreading to Europe. It reflects the hands-on experience of the author, who as a physician, was faced with the first-ever cases reported in Europe. Providing essential background information on the viral vector, it addresses the various symptoms after infection, and places them in the epidemiological context of past outbreaks. The book addresses the needs of physicians attending patients with infectious diseases, including infectious-disease specialists, pediatricians, internal medicine specialists, general practitioners, obstetricians, tropical medicine and travel medicine specialists, preventive medicine and public health specialists, microbiologists, biologists and vectorial control specialists. It raises clinicians' and travel health clinics' awareness of the evolution of Zika virus outbreaks and the affected areas so that they can include this infection in their differential diagnoses for travelers from those areas.
Автор: Hong Tang Название: Hepatitis B Virus Infection ISBN: 981139153X ISBN-13(EAN): 9789811391538 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Поставка под заказ.
Описание: It covers our current understanding of the HBV genome and lifecycle, liver-enriched factors in the regulation of HBV transcription and translation, HBV protein structures and biological functions, and the immunology and pathogenesis of HBV.
Описание: This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.
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