The Mathematics Behind Biological Invasions, Lewis Mark A., Petrovskii Sergei V., Potts Jonathan R.

Название: Mathematics Behind Biological Invasions
ISBN: 3319320424 ISBN-13(EAN): 9783319320427
Издательство: Springer
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Цена: 62410.00 T
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Описание: This book investigates the mathematical analysis of biological invasions. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes.

Автор: Brauer
Название: Dynamical Systems for Biological Modeling
ISBN: 1420066412 ISBN-13(EAN): 9781420066418
Издательство: Taylor&Francis
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Цена: 107190.00 T
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Описание: Presents the techniques required to undertake basic modeling of biological systems through the development and analysis of dynamical systems. This title includes different types of applications from population biology and epidemiology. It provides examples of problems with solutions followed by exercises to reinforce the examples.

Автор: Ami Radunskaya; Rebecca Segal; Blerta Shtylla
Название: Understanding Complex Biological Systems with Mathematics
ISBN: 3319980823 ISBN-13(EAN): 9783319980829
Издательство: Springer
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Цена: 74530.00 T
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Описание: This volume examines a variety of biological and medical problems using mathematical models to understand complex system dynamics. Featured topics include autism spectrum disorder, ectoparasites and allogrooming, argasid ticks dynamics, super-fast nematocyst firing, cancer-immune population dynamics, and the spread of disease through populations. Applications are investigated with mathematical models using a variety of techniques in ordinary and partial differential equations, difference equations, Markov-chain models, Monte-Carlo simulations, network theory, image analysis, and immersed boundary method. Each article offers a thorough explanation of the methodologies used and numerous tables and color illustrations to explain key results. This volume is suitable for graduate students and researchers interested in current applications of mathematical models in the biosciences.The research featured in this volume began among newly-formed collaborative groups at the 2017 Women Advancing Mathematical Biology Workshop that took place at the Mathematical Biosciences Institute in Columbus, Ohio. The groups spent one intensive week working at MBI and continued their collaborations after the workshop, resulting in the work presented in this volume.

Автор: Rajarama Mohan Jena, Snehashish Chakraverty, Subrat Kumar Jena
Название: Time-Fractional Order Biological Systems with Uncertain Parameters
ISBN: 1681737493 ISBN-13(EAN): 9781681737492
Издательство: Mare Nostrum (Eurospan)
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Цена: 57290.00 T
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Описание: The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. The fractional derivative has been used in various physical problems, such as frequency-dependent damping behavior of structures, biological systems, motion of a plate in a Newtonian fluid, ����λ��μ controller for the control of dynamical systems, and so on. It is challenging to obtain the solution (both analytical and numerical) of related nonlinear partial differential equations of fractional order. So for the last few decades, a great deal of attention has been directed towards the solution for these kind of problems. Different methods have been developed by other researchers to analyze the above problems with respect to crisp (exact) parameters.

However, in real-life applications such as for biological problems, it is not always possible to get exact values of the associated parameters due to errors in measurements/experiments, observations, and many other errors. Therefore, the associated parameters and variables may be considered uncertain. Here, the uncertainties are considered interval/fuzzy. Therefore, the development of appropriate efficient methods and their use in solving the mentioned uncertain problems are the recent challenge.

In view of the above, this book is a new attempt to rigorously present a variety of fuzzy (and interval) time-fractional dynamical models with respect to different biological systems using computationally efficient method. The authors believe this book will be helpful to undergraduates, graduates, researchers, industry, faculties, and others throughout the globe.

Автор: Rajarama Mohan Jena, Snehashish Chakraverty, Subrat Kumar Jena
Название: Time-Fractional Order Biological Systems with Uncertain Parameters
ISBN: 1681737515 ISBN-13(EAN): 9781681737515
Издательство: Mare Nostrum (Eurospan)
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Цена: 75770.00 T
Наличие на складе: Нет в наличии.
Описание: The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. The fractional derivative has been used in various physical problems, such as frequency-dependent damping behavior of structures, biological systems, motion of a plate in a Newtonian fluid, ����λ��μ controller for the control of dynamical systems, and so on. It is challenging to obtain the solution (both analytical and numerical) of related nonlinear partial differential equations of fractional order. So for the last few decades, a great deal of attention has been directed towards the solution for these kind of problems. Different methods have been developed by other researchers to analyze the above problems with respect to crisp (exact) parameters.

However, in real-life applications such as for biological problems, it is not always possible to get exact values of the associated parameters due to errors in measurements/experiments, observations, and many other errors. Therefore, the associated parameters and variables may be considered uncertain. Here, the uncertainties are considered interval/fuzzy. Therefore, the development of appropriate efficient methods and their use in solving the mentioned uncertain problems are the recent challenge.

In view of the above, this book is a new attempt to rigorously present a variety of fuzzy (and interval) time-fractional dynamical models with respect to different biological systems using computationally efficient method. The authors believe this book will be helpful to undergraduates, graduates, researchers, industry, faculties, and others throughout the globe.

Название: Mathematical biology and biological physics
ISBN: 9813227877 ISBN-13(EAN): 9789813227873
Издательство: World Scientific Publishing
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Цена: 127770.00 T
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Описание: This is a book on interdisciplinary topics of the Mathematical and Biological Sciences. The treatment is both pedagogical and advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners. There are comprehensive reviews written by senior experts on the important problems of growth and agglomeration in biology, on the algebraic modelling of the genetic code and on multi-step biochemical pathways.There are new results on the state of the art research in the pattern recognition of probability distribution of amino acids, on somitogenesis through reaction-diffusion models, on the mathematical modelling of infectious diseases, on the biophysical modelling of physiological disorders, on the sensitive analysis of parameters of malaria models, on the stability and hopf bifurcation of ecological and epidemiological models, on the viral infection of bee colonies and on the structure and motion of proteins. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields.