Table of Contents:
Preface. Contents: Asymptotic Spectral Invariants of Differential
Operators on Curved Manifolds: Computer Algebra Approach (Vladimir
V. Kornyak, Joint Institute for Nuclear Research, Russia);
Interval Experimental Data Filling (Marek W. Gutowski, Polish
Academy of Sciences, Warszawa); Differential Quadrature,
Generalized Methods and Related Discrete Element Analysis Methods
for Generic Scientific and Engineering Problems Having Arbitrary
Domain Configurations (Chang-New Chen, National Chen Kung
University, Taiwan); An Operatorial Approach to Solutions of
Boundary Value Problems in the Half-Plane (Caterina Cassisa and
Paolo Emilio Ricci, Universita degli Studi di Roma, Italy);
Spectra of 2D H-Donors in Magnetic Field and their Zeeman
Splitting (Maen Odeh, Eastern Mediterranean University, Turkey);
Index.
Binding: Hardcover
Pub. Date: 2005
ISBN: 1-59454-453-0
(Hardback)0-19-856709-X
(Paperback)0-19-850655-4
Publication date: 10 February 2005
216 pages, numerous line drawings and halftones, 234mm x 156mm
Description
Comprehensive but concise overview of DNA structure and function
Clear and accessible explanation of complex topological concepts
Describes the biological significance of the topological aspects
of DNA structure
Accompanying website provides ancillary material
DNA as the genetic material is a topic of intense interest in the
21st century, with the genomes of many organisms having been
sequenced. The double helix structure discovered by Watson and
Crick 50 years ago is now very familiar and its importance for
DNA function is widely appreciated. However, it has become clear
that there are many deviations from this basic structure that
have important biological consequences. Prominent among these are
the 'topological' configurations: supercoiling, knotting, and
catenation (linking). Unfortunately, a full understanding of
these features of DNA structure requires the grasp of concepts
that can prove difficult for both students and more advanced
researchers. This book aims to explain these ideas simply, but
rigorously, to allow a wider appreciation of DNA topology.
DNA Topology starts with a basic account of DNA structure before
going on to cover DNA supercoiling, the definitions and physical
meanings of linking number, twist, and writhe, and the free
energy associated with supercoiling. It then considers the rather
more complex description of DNA lying on a curved surface and its
application to the nucleosome, followed by the phenomena of DNA
knotting and catenation. The final chapters deal with the
topoisomerases, the enzymes that control DNA topology, and, most
importantly, with the biological significance of the topological
aspects of DNA structure. Although some of these concepts are
quite complex, they are presented in an accessible way, drawing
on interesting and relevant examples.
Readership: Students and researchers of DNA topology, molecular
biology, biochemistry and genetics.
Contents
1 DNA structure
2 DNA supercoiling
3 DNA on surfaces
4 Knots and catenanes
5 DNA topoisomerases
6 Biological consequences of DNA topology
Series: Interdisciplinary Applied Mathematics, Preliminary
entry 100
2003, Approx. 350 p., Hardcover
ISBN: 0-387-40324-8
About this book
Preliminary: Over the last decade or so there has been renewed
interest in the mathematical modeling of tumor growth. This book
presents an overview of recent mathematical models developed to
examine the many stages of cancer growth and development from a
single mutant cell through to the metastatic spread of the
disease. The mathematical models employed are ordinary and
partial differential equation models, discrete models, and
continuum mechanics models. Various analytical and numerical
methods are used in the analysis of these models and at all times
clinical implications of the model results are considered.
Table of contents
Preface * Biology/Pathology of Cancer * Modeling the Immune
Response to Cancer * Simple Models of Tumor Growth * Modeling
Avascular, Multicellular Spheroid Growth * Pre-pattern Models of
Tumor Growth * Modeling Tumor-induced Angiogenesis * Modeling
Invasion and Metastasis * Mechanical Models of Growth * Index
2005, XXVIII, 359 p., Softcover
ISBN: 0-387-24970-2
About this book
This book consists of solutions to four hundred exercises, over
95% of which are in the authorfs Mathematical Statistics. That
textbook covers topics in statistical theory essential for
graduate students preparing for work on a Ph.D. degree in
statistics.
On the other hand, this is a stand-alone book, since exercises
and solutions are comprehensible independently of their source.
Many solutions involve standard exercises that appear in other
textbooks listed in the references. To help readers not using
this book with Mathematical Statistics, lists of notation,
terminology, and some probability distributions are given in the
front of the book.
Readers are assumed to have a good knowledge in advanced calculus.
A course in real analysis or measure theory is highly recommended.
If this book is used with a statistics textbook that does not
include probability theory, then knowledge in measure-theoretic
probability theory is required. The exercises are grouped into
seven chapters with titles matching those in Mathematical
Statistics.
Table of contents
Probability Theory.- Fundamentals of Statistics.- Unbiased
Estimation .- Estimation in Parametric Models.- Estimation in
Nonparametric Models.- Hypothesis Tests.- Confidence Sets.
Series: Lecture Notes in Mathematics Vol. 1867
2005, X, 202 p. 87 illus., 16 in colour with blank pages:
Softcover ISBN: 3-540-25439-0
About this textbook
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.
Table of contents
Preface.- Introduction.- Basic Concept of Ca2+ Signaling in Cells
and Tissues (M. J. Sanderson).- Modeling IP-3-Dependent Calcium
Dynamics in Non-Excitable Cells (J. Sneyd).- Integrated Calcium
Management in Cardiac Myocytes (T. R. Shannon).- Mechanisms and
Models of Cardiac Excitation-Contraction Coupling (R. L. Winslow,
R. Hinch, J. L. Greenstein).- Mathematical Analysis of the
Generation of Force and Motion in Contracting Muscle (E. Pate).-
Signal Transduction in Vertebrate Olfactory Receptor Cells (J.
Reisert).- Mathematical Models of Synaptic Transmission and Short-Term
Plasticity (R. Bertram).
2005, XII, 194 p. 79 illus., Softcover
ISBN: 0-387-24969-9
About this book
S+Functional Data Analysis is the first commercial object
oriented package for exploring, modeling, and analyzing
functional data. Functional data analysis (FDA) handles
longitudinal data and treats each observation as a function of
time (or other variable). The functions are related. The goal is
to analyze a sample of functions instead of a sample of related
points.
FDA differs from traditional data analytic techniques in a number
of ways. Functions can be evaluated at any point in their domain.
Derivatives and integrals, which may provide better information (e.g.
graphical) than the original data, are easily computed and used
in multivariate and other functional analytic methods.
The analyst using S+FDA can handle irregularly spaced data or
data with missing values. For large amounts of data, working with
a functional representation can save storage. Moreover, S+FDA
provides a variety of analytic techniques for functional data
including linear models, generalized linear models, principal
components, canonical correlation, principal differential
analysis, and clustering.
This book can be considered a companion to two other highly
acclaimed books involving James Ramsay and Bernard Silverman:
Functional Data Analysis, Second Edition (2005) and Applied
Functional Data Analysis (2002). This user's manual also provides
the documentation for the S+FDA library for S-Plus.
Table of contents
Introduction.- Basis Objects and Operations.- Functional Data
Objects and Operations.- Linear Differential Operators and
Smoothing.- Functional Registration.- Functional Linear Models.-
Functional Generalized Linear Models.- Functional Principal
Components.- Canonical Correlation.- Functional Cluster Analysis.-
Principal Differential Analysis.