Tutorials In Mathematical Biosciences Iii

Author : Avner Friedman
Publisher : Springer
Page : 246 pages
File Size : 52,5 Mb
Release : 2005-11-24
Category : Mathematics
ISBN : 9783540324157

Get Book

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 : Avner Friedman
Publisher : Springer
Page : 246 pages
File Size : 50,5 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540816313

Get Book

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 : 246 pages
File Size : 45,5 Mb
Release : 2006
Category : Cancer cells
ISBN : LCCN:2005934038

Get Book

Tutorials in Mathematical Biosciences by Anonim Pdf

Author : Avner Friedman
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 51,6 Mb
Release : 2005-12-19
Category : Mathematics
ISBN : 3540291628

Get Book

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

Get Book

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
Page : 170 pages
File Size : 47,5 Mb
Release : 2005-01-28
Category : Mathematics
ISBN : 9783540315445

Get Book

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 : 0 pages
File Size : 42,8 Mb
Release : 2005
Category : Biomathematics
ISBN : OCLC:474579722

Get Book

Tutorials in Mathematical Biosciences by Anonim Pdf

Author : James Sneyd
Publisher : Springer
Page : 202 pages
File Size : 42,8 Mb
Release : 2005-06-13
Category : Mathematics
ISBN : 9783540314387

Get Book

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 : James Sneyd
Publisher : Springer
Page : 202 pages
File Size : 43,8 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540809570

Get Book

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 : 53,6 Mb
Release : 2008-04-26
Category : Mathematics
ISBN : 9783540743316

Get Book

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 : 49,9 Mb
Release : 2024-06-06
Category : Electronic
ISBN : OCLC:723409011

Get Book

Tutorials in mathematical biosciences by Anonim Pdf

Author : Areski Cousin,Stéphane Crépey,Olivier Guéant,David Hobson,Monique Jeanblanc,Jean-Michel Lasry,Jean-Paul Laurent,Pierre-Louis Lions,Peter Tankov
Publisher : Springer
Page : 366 pages
File Size : 46,5 Mb
Release : 2010-10-06
Category : Mathematics
ISBN : 9783642146602

Get Book

Paris-Princeton Lectures on Mathematical Finance 2010 by Areski Cousin,Stéphane Crépey,Olivier Guéant,David Hobson,Monique Jeanblanc,Jean-Michel Lasry,Jean-Paul Laurent,Pierre-Louis Lions,Peter Tankov Pdf

The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise! The aim is to produce a series of articles that can serve as an introductory reference source for research in the field. The articles are the result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with five articles by: 1. Areski Cousin, Monique Jeanblanc and Jean-Paul Laurent, 2. Stéphane Crépey, 3. Olivier Guéant, Jean-Michel Lasry and Pierre-Louis Lions, 4. David Hobson and 5. Peter Tankov.

Author : Heinz Schättler,Urszula Ledzewicz
Publisher : Springer
Page : 496 pages
File Size : 47,9 Mb
Release : 2015-09-15
Category : Mathematics
ISBN : 9781493929726

Get Book

Optimal Control for Mathematical Models of Cancer Therapies by Heinz Schättler,Urszula Ledzewicz Pdf

This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful.

Author : Fred Brauer,Pauline van den Driessche,J. Wu
Publisher : Springer
Page : 414 pages
File Size : 49,5 Mb
Release : 2008-04-13
Category : Medical
ISBN : 9783540789116

Get Book

Mathematical Epidemiology by Fred Brauer,Pauline van den Driessche,J. Wu Pdf

Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).

Author : Gianfranco Capriz,Pasquale Giovine,Paolo Maria Mariano
Publisher : Springer
Page : 228 pages
File Size : 48,9 Mb
Release : 2008-04-20
Category : Technology & Engineering
ISBN : 9783540782773

Get Book

Mathematical Models of Granular Matter by Gianfranco Capriz,Pasquale Giovine,Paolo Maria Mariano Pdf

Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.