Tutorials In Mathematical Biosciences I

Author : Alla Borisyuk,G. Bard Ermentrout,Avner Friedman,David H. Terman
Publisher : Springer
Page : 170 pages
File Size : 41,8 Mb
Release : 2005-01-28
Category : Mathematics
ISBN : 9783540315445

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Tutorials in Mathematical Biosciences I by Alla Borisyuk,G. Bard Ermentrout,Avner Friedman,David H. Terman Pdf

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.

Author : Avner Friedman
Publisher : Springer
Page : 210 pages
File Size : 45,6 Mb
Release : 2008-04-26
Category : Mathematics
ISBN : 9783540743316

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Tutorials in Mathematical Biosciences IV by Avner Friedman Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 48,8 Mb
Release : 2005
Category : Biomathematics
ISBN : OCLC:58422125

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Tutorials in Mathematical Biosciences by Anonim Pdf

Author : James Sneyd
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 55,8 Mb
Release : 2005-06-22
Category : Mathematics
ISBN : 3540254390

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Tutorials in Mathematical Biosciences II by James Sneyd Pdf

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.

Author : Alla Borisyuk,G. Bard Ermentrout,Avner Friedman,David H. Terman
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 51,8 Mb
Release : 2005-02-18
Category : Mathematics
ISBN : 3540238581

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Tutorials in Mathematical Biosciences I by Alla Borisyuk,G. Bard Ermentrout,Avner Friedman,David H. Terman Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 44,8 Mb
Release : 2024-06-01
Category : Electronic
ISBN : OCLC:723409011

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Tutorials in mathematical biosciences by Anonim Pdf

Author : Avner Friedman
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 45,8 Mb
Release : 2005-12-19
Category : Mathematics
ISBN : 3540291628

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Tutorials in Mathematical Biosciences III by Avner Friedman Pdf

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.

Author : James Sneyd
Publisher : Springer
Page : 202 pages
File Size : 55,8 Mb
Release : 2005-06-13
Category : Mathematics
ISBN : 9783540314387

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Tutorials in Mathematical Biosciences II by James Sneyd Pdf

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.

Author : Avner Friedman
Publisher : Springer
Page : 210 pages
File Size : 50,7 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 3540848428

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Tutorials in Mathematical Biosciences IV by Avner Friedman Pdf

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.

Author : James Sneyd
Publisher : Springer
Page : 202 pages
File Size : 51,6 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540809570

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Tutorials in Mathematical Biosciences II by James Sneyd Pdf

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.

Author : Avner Friedman
Publisher : Unknown
Page : 0 pages
File Size : 40,8 Mb
Release : 2008
Category : Biological models
ISBN : 8354074331

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Tutorials in Mathematical Biosciences. IV, Evolution and Ecology by Avner Friedman Pdf

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.

Author : Ami Radunskaya,Rebecca Segal,Blerta Shtylla
Publisher : Springer
Page : 198 pages
File Size : 50,5 Mb
Release : 2018-10-24
Category : Mathematics
ISBN : 9783319980836

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Understanding Complex Biological Systems with Mathematics by Ami Radunskaya,Rebecca Segal,Blerta Shtylla Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 246 pages
File Size : 46,6 Mb
Release : 2006
Category : Cancer cells
ISBN : LCCN:2005934038

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Tutorials in Mathematical Biosciences by Anonim Pdf

Author : Avner Friedman
Publisher : Springer
Page : 246 pages
File Size : 49,6 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540816313

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Tutorials in Mathematical Biosciences III by Avner Friedman Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 192 pages
File Size : 47,7 Mb
Release : 2005
Category : Biomathematics
ISBN : UOM:39015060563254

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Tutorials in Mathematical Biosciences by Anonim Pdf