Authors:Avner Friedman, B. Aguda, M. Chaplain, A. Friedman, M.
Publisher: Springer
Keywords: biosciences, mathematical, lecture, notes, subseries, cancer, mathematics, cycle, iii, cell, tutorials, proliferation
Number of Pages: 250
Published: 2006-02-10
List price: $74.95
ISBN-10: 3540291628
ISBN-13: 9783540291626

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 obstacle

Author: Avner Friedman
Publisher: Dover Publications
Keywords: mathematics, books, dover, games, differential
Number of Pages: 368
Published: 2006-05-12
List price: $19.95
ISBN-10: 0486449955
ISBN-13: 9780486449951

This volume lays the mathematical foundations for the theory of differential games, developing a rigorous mathematical framework with existence theorems. Topics include games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, and games with restricted phase coordinates. 1971 edition.

Author: Avner Friedman
Publisher: Dover Publications
Keywords: equations, differential, partial
Number of Pages: 272
Published: 2008-11-24
List price: $15.95
ISBN-10: 0486469190
ISBN-13: 9780486469195

This three-part treatment focuses on elliptic and evolution equations. Largely self-contained, this volume concludes with a series of independent topics related to the methods and results of preceding sections and introduces advanced topics for further study. Geared toward graduate and postgraduate students, it also constitutes a valuable reference for professionals. 1969 edition.

Author: Avner Friedman
Publisher: Springer
Keywords: mathematics, volumes, applications, ima, part, industrial, problems
Number of Pages: 185
Published: 1996-10-25
List price: $103.00
ISBN-10: 0387948651
ISBN-13: 9780387948652

This volume examines the role of mathematics in industrial problems.

Author: Avner Friedman
Publisher: Dover Publications
Keywords: dover, books, mathematics, type, parabolic, differential, equations, partial
Number of Pages: 368
Published: 2008-04-21
List price: $19.95
ISBN-10: 0486466256
ISBN-13: 9780486466255

Author: Avner Friedman
Publisher: Springer
Keywords: mathematics, volumes, applications, ima, part, industrial, problems
Number of Pages: 220
Published: 1997-01-24
List price: $119.00
ISBN-10: 0387949453
ISBN-13: 9780387949451

The 9th volume in Avner Friedmans collection of Mathematics in Industrial problems. Fostering interaction between industry and mathematics at the "grass roots" level, the problems presented here arise from models developed by industrial scientists engaged in R&D of new or improved products. Topics explored in this volume include diffusion in porous media and in rubber/glass transition, coating flows, solvation of molecules, semiconductor processing, optoelectronics, photographic images, density-functional theory, sphere packing, performance evaluation, causal networks, electrical well logg

Authors:Avner Friedman, C. Cosner, D. Janies, L.S. Kubatko
Publisher: Springer
Keywords: mathematical, biosciences, mathematics, subseries, notes, ecology, evolution, tutorials, lecture
Number of Pages: 210
Published: 2007-12-13
List price: $59.95
ISBN-10: 3540743286
ISBN-13: 9783540743286

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 an introduction to reaction-diffusion equations, which are used to analyze the ecological models. The next chapter revi