Author: Santo Banerjee
Publisher: CRC Press
ISBN: 1003822630
Category : Science
Languages : en
Pages : 268
Book Description
The recent Covid-19 pandemic threw the world into complete chaos with its rapid and devastating spread. Scientists are still trying to obtain a better understanding of the patterns of COVID-19 and trying to get a deeper understanding of mutant strains and their pathogenicity by performing genomic sequences of more samples. Fractal-based analysis provides its unique forecasting policy to reduce the spread of COVID-19, and in general, of any outbreaks. The book presents fractal and multifractal models of COVID-19 and reviews the impact of the pandemic including epidemiology, genome organization, transmission cycle, and control strategies based on mathematical models towards developing an immune intervention. Also, it covers non-clinical aspects such as economic development with graphical illustrations, meeting the needs of onlookers outside the sector who desire additional information on the epidemic. The fractal signatures describe the fractal textures in the patterns of Corona virus. Studies on the epidemiology of Covid-19 in relation with the fractals and fractal functions serve to exhibit its irregular chaotic nature. Moreover, the book with its wide coverage on the Hurst exponent analysis and the fractal dimension estimation, greatly aids in measuring the epidemiology.
Fractal Signatures in the Dynamics of an Epidemiology
Author: Santo Banerjee
Publisher: CRC Press
ISBN: 1003822630
Category : Science
Languages : en
Pages : 268
Book Description
The recent Covid-19 pandemic threw the world into complete chaos with its rapid and devastating spread. Scientists are still trying to obtain a better understanding of the patterns of COVID-19 and trying to get a deeper understanding of mutant strains and their pathogenicity by performing genomic sequences of more samples. Fractal-based analysis provides its unique forecasting policy to reduce the spread of COVID-19, and in general, of any outbreaks. The book presents fractal and multifractal models of COVID-19 and reviews the impact of the pandemic including epidemiology, genome organization, transmission cycle, and control strategies based on mathematical models towards developing an immune intervention. Also, it covers non-clinical aspects such as economic development with graphical illustrations, meeting the needs of onlookers outside the sector who desire additional information on the epidemic. The fractal signatures describe the fractal textures in the patterns of Corona virus. Studies on the epidemiology of Covid-19 in relation with the fractals and fractal functions serve to exhibit its irregular chaotic nature. Moreover, the book with its wide coverage on the Hurst exponent analysis and the fractal dimension estimation, greatly aids in measuring the epidemiology.
Publisher: CRC Press
ISBN: 1003822630
Category : Science
Languages : en
Pages : 268
Book Description
The recent Covid-19 pandemic threw the world into complete chaos with its rapid and devastating spread. Scientists are still trying to obtain a better understanding of the patterns of COVID-19 and trying to get a deeper understanding of mutant strains and their pathogenicity by performing genomic sequences of more samples. Fractal-based analysis provides its unique forecasting policy to reduce the spread of COVID-19, and in general, of any outbreaks. The book presents fractal and multifractal models of COVID-19 and reviews the impact of the pandemic including epidemiology, genome organization, transmission cycle, and control strategies based on mathematical models towards developing an immune intervention. Also, it covers non-clinical aspects such as economic development with graphical illustrations, meeting the needs of onlookers outside the sector who desire additional information on the epidemic. The fractal signatures describe the fractal textures in the patterns of Corona virus. Studies on the epidemiology of Covid-19 in relation with the fractals and fractal functions serve to exhibit its irregular chaotic nature. Moreover, the book with its wide coverage on the Hurst exponent analysis and the fractal dimension estimation, greatly aids in measuring the epidemiology.
Fractal Signatures in the Dynamics of an Epidemiology
Author: Santo Banerjee
Publisher: CRC Press
ISBN: 1003822592
Category : Science
Languages : en
Pages : 204
Book Description
Describes a variety of innovative research models to illustrate the impact of COVID-19 in multiple countries. Offers models for predicting death or transmission patterns in a population. Monitors the global dynamics of the disease and its impact on people’s health. Comprises chapters on novel theory and applications of fractals in modelling COVID-19. Comprises edited collection with a variety of viewpoints.
Publisher: CRC Press
ISBN: 1003822592
Category : Science
Languages : en
Pages : 204
Book Description
Describes a variety of innovative research models to illustrate the impact of COVID-19 in multiple countries. Offers models for predicting death or transmission patterns in a population. Monitors the global dynamics of the disease and its impact on people’s health. Comprises chapters on novel theory and applications of fractals in modelling COVID-19. Comprises edited collection with a variety of viewpoints.
Cell to Cell Signals in Plants and Animals
Author: Volker Neuhoff
Publisher: Springer Science & Business Media
ISBN: 3642764703
Category : Science
Languages : en
Pages : 398
Book Description
Summarizing research progress achieved in 32 areas of cell biology covered in this series, this volume places special emphasis on the following topics: recognition in parasitic and symbiotic systems - the molecular biology and genetics of susceptibility and resistance of plants and animals to pathogens, parasites and symbionts - the cell to cell recognition and differentiation - the most challenging problems in developmental biology of plants and animals - the plasticity in cell to cell communication which plays a major role in cell differentiation and function.
Publisher: Springer Science & Business Media
ISBN: 3642764703
Category : Science
Languages : en
Pages : 398
Book Description
Summarizing research progress achieved in 32 areas of cell biology covered in this series, this volume places special emphasis on the following topics: recognition in parasitic and symbiotic systems - the molecular biology and genetics of susceptibility and resistance of plants and animals to pathogens, parasites and symbionts - the cell to cell recognition and differentiation - the most challenging problems in developmental biology of plants and animals - the plasticity in cell to cell communication which plays a major role in cell differentiation and function.
Nonlinear Dynamics and Chaos
Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Cumulated Index Medicus
Author:
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1448
Book Description
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1448
Book Description
Classics On Fractals
Author: Gerald A. Edgar
Publisher: CRC Press
ISBN: 0429711239
Category : Science
Languages : en
Pages : 384
Book Description
Read the masters! Experience has shown that this is good advice for the serious mathematics student. This book contains a selection of the classical mathematical papers related to fractal geometry. For the convenience of the student or scholar wishing to learn about fractal geometry, nineteen of these papers are collected here in one place. Twelve of the nineteen have been translated into English from German, French, or Russian. In many branches of science, the work of previous generations is of interest only for historical reasons. This is much less so in mathematics.1 Modern-day mathematicians can learn (and even find good ideas) by reading the best of the papers of bygone years. In preparing this volume, I was surprised by many of the ideas that come up.
Publisher: CRC Press
ISBN: 0429711239
Category : Science
Languages : en
Pages : 384
Book Description
Read the masters! Experience has shown that this is good advice for the serious mathematics student. This book contains a selection of the classical mathematical papers related to fractal geometry. For the convenience of the student or scholar wishing to learn about fractal geometry, nineteen of these papers are collected here in one place. Twelve of the nineteen have been translated into English from German, French, or Russian. In many branches of science, the work of previous generations is of interest only for historical reasons. This is much less so in mathematics.1 Modern-day mathematicians can learn (and even find good ideas) by reading the best of the papers of bygone years. In preparing this volume, I was surprised by many of the ideas that come up.
Handbook of Research Methods in Complexity Science
Author: Eve Mitleton-Kelly
Publisher: Edward Elgar Publishing
ISBN: 1785364421
Category : Business & Economics
Languages : en
Pages : 642
Book Description
This comprehensive Handbook is aimed at both academic researchers and practitioners in the field of complexity science. The book’s 26 chapters, specially written by leading experts, provide in-depth coverage of research methods based on the sciences of complexity. The research methods presented are illustratively applied to practical cases and are readily accessible to researchers and decision makers alike.
Publisher: Edward Elgar Publishing
ISBN: 1785364421
Category : Business & Economics
Languages : en
Pages : 642
Book Description
This comprehensive Handbook is aimed at both academic researchers and practitioners in the field of complexity science. The book’s 26 chapters, specially written by leading experts, provide in-depth coverage of research methods based on the sciences of complexity. The research methods presented are illustratively applied to practical cases and are readily accessible to researchers and decision makers alike.
Index Medicus
Author:
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1876
Book Description
Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.
Publisher:
ISBN:
Category : Medicine
Languages : en
Pages : 1876
Book Description
Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.
Fractal Functions, Dimensions and Signal Analysis
Author: Santo Banerjee
Publisher: Springer Nature
ISBN: 3030626725
Category : Science
Languages : en
Pages : 140
Book Description
This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.
Publisher: Springer Nature
ISBN: 3030626725
Category : Science
Languages : en
Pages : 140
Book Description
This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on fractal functions in various scenarios. Further, the existence of the fractal interpolation function with the countable iterated function system is demonstrated by taking suitable monotone and bounded sequences. It also covers the dimension of fractal functions and investigates the relationship between the fractal dimension and the fractional order of fractal interpolation functions. Moreover, this book explores the idea of fractal interpolation in the reconstruction scheme of illustrative waveforms and discusses the problems of identification of the characterizing parameters. In the application section, this research compendium addresses the signal processing and its Mathematical methodologies. A wavelet-based denoising method for the recovery of electroencephalogram (EEG) signals contaminated by nonstationary noises is presented, and the author investigates the recognition of healthy, epileptic EEG and cardiac ECG signals using multifractal measures. This book is intended for professionals in the field of Mathematics, Physics and Computer Science, helping them broaden their understanding of fractal functions and dimensions, while also providing the illustrative experimental applications for researchers in biomedicine and neuroscience.
Mathematical modelling of the pandemic of 2019 novel coronavirus (COVID-19): Patterns, Dynamics, Prediction, and Control
Author: Hui-Jia Li
Publisher: Frontiers Media SA
ISBN: 2889713865
Category : Science
Languages : en
Pages : 308
Book Description
Publisher: Frontiers Media SA
ISBN: 2889713865
Category : Science
Languages : en
Pages : 308
Book Description