Tutorials In Mathematical Biosciences I
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Tutorials In Mathematical Biosciences I
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Author : Alla Borisyuk
language : en
Publisher: Springer
Release Date : 2005-01-28
Tutorials In Mathematical Biosciences I written by Alla Borisyuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-28 with Mathematics categories.
This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.
Tutorials In Mathematical Biosciences
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Author :
language : en
Publisher:
Release Date : 2005
Tutorials In Mathematical Biosciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Biomathematics categories.
Tutorials In Mathematical Biosciences Iv
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Author : Avner Friedman
language : en
Publisher: Springer
Release Date : 2008-04-26
Tutorials In Mathematical Biosciences Iv written by Avner Friedman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-26 with Mathematics categories.
This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.
Tutorials In Mathematical Biosciences
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language : en
Publisher:
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Tutorials In Mathematical Biosciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Tutorials In Mathematical Biosciences Iii
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Author : Avner Friedman
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-19
Tutorials In Mathematical Biosciences Iii written by Avner Friedman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-19 with Mathematics categories.
This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.
Tutorials In Mathematical Biosciences Ii
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Author : James Sneyd
language : en
Publisher: Springer
Release Date : 2005-06-13
Tutorials In Mathematical Biosciences Ii written by James Sneyd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-13 with Mathematics categories.
This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.
Tutorials In Mathematical Biosciences Ii
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Author : James Sneyd
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-06-22
Tutorials In Mathematical Biosciences Ii written by James Sneyd and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-22 with Mathematics categories.
This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.
Tutorials In Mathematical Biosciences Iv
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Author : Avner Friedman
language : en
Publisher: Springer
Release Date : 2009-08-29
Tutorials In Mathematical Biosciences Iv written by Avner Friedman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Mathematics categories.
This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.
Tutorials In Mathematical Biosciences Ii
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Author : James Sneyd
language : en
Publisher: Springer
Release Date : 2009-09-02
Tutorials In Mathematical Biosciences Ii written by James Sneyd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.
This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.
Tutorials In Mathematical Biosciences Iv Evolution And Ecology
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Author : Avner Friedman
language : en
Publisher:
Release Date : 2008
Tutorials In Mathematical Biosciences Iv Evolution And Ecology written by Avner Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Biological models categories.
The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predator-prey models. This chapter includes and introduction to reaction-diffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution of dispersal models; it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level of grad students and researchers. A background in PDEs is provided.