Tutorials In Mathematical Biosciences Iii

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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 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

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Author :
language : en
Publisher:
Release Date : 2008

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 2008 with Biomathematics categories.

Tutorials In Mathematical Biosciences Iii

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Author : Avner Friedman
language : en
Publisher:
Release Date : 2006

Tutorials In Mathematical Biosciences Iii 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 2006 with Biomathematics 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 Iii

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Author : Avner Friedman
language : en
Publisher: Springer
Release Date : 2009-09-02

Tutorials In Mathematical Biosciences Iii 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 2009-09-02 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

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Author :
language : en
Publisher:
Release Date : 2006

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 2006 with Cancer cells categories.

Optimal Control For Mathematical Models Of Cancer Therapies

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Author : Heinz Schättler
language : en
Publisher: Springer
Release Date : 2015-09-15

Optimal Control For Mathematical Models Of Cancer Therapies written by Heinz Schättler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-15 with Mathematics categories.

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.

L Vy Matters I

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Author : Thomas Duquesne
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-05

L Vy Matters I written by Thomas Duquesne 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 2010-09-05 with Mathematics categories.

Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.

Sobolev Gradients And Differential Equations

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Author : john neuberger
language : en
Publisher: Springer
Release Date : 2009-11-10

Sobolev Gradients And Differential Equations written by john neuberger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-10 with Mathematics categories.

A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients. In fact, descent methods with these gradients generally scale linearly with the number of grid points, in sharp contrast with the use of ordinary gradients. Aside from the first edition of this work, this is the only known account of Sobolev gradients in book form. Most of the applications in this book have emerged since the first edition was published some twelve years ago. What remains of the first edition has been extensively revised. There are a number of plots of results from calculations and a sample MatLab code is included for a simple problem. Those working through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive point of view on the subject of partial differential equations.

Nonlinear Optimization

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Author : Immanuel M. Bomze
language : en
Publisher: Springer
Release Date : 2010-03-17

Nonlinear Optimization written by Immanuel M. Bomze and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-17 with Mathematics categories.

This volume collects the expanded notes of four series of lectures given on the occasion of the CIME course on Nonlinear Optimization held in Cetraro, Italy, from July 1 to 7, 2007. The Nonlinear Optimization problem of main concern here is the problem n of determining a vector of decision variables x ? R that minimizes (ma- n mizes) an objective function f(·): R ? R,when x is restricted to belong n to some feasible setF? R , usually described by a set of equality and - n n m equality constraints: F = {x ? R : h(x)=0,h(·): R ? R ; g(x) ? 0, n p g(·): R ? R }; of course it is intended that at least one of the functions f,h,g is nonlinear. Although the problem canbe stated in verysimpleterms, its solution may result very di?cult due to the analytical properties of the functions involved and/or to the number n,m,p of variables and constraints. On the other hand, the problem has been recognized to be of main relevance in engineering, economics, and other applied sciences, so that a great lot of e?ort has been devoted to develop methods and algorithms able to solve the problem even in its more di?cult and large instances. The lectures have been given by eminent scholars, who contributed to a great extent to the development of Nonlinear Optimization theory, methods and algorithms. Namely, they are: – Professor Immanuel M.