|
Showing 1 - 13 of
13 matches in All Departments
This monograph considers the mathematical modeling of cellular
adhesion, a key interaction force in cell biology. While deeply
grounded in the biological application of cell adhesion and tissue
formation, this monograph focuses on the mathematical analysis of
non-local adhesion models. The novel aspect is the non-local term
(an integral operator), which accounts for forces generated by long
ranged cell interactions. The analysis of non-local models has
started only recently, and it has become a vibrant area of applied
mathematics. This monograph contributes a systematic analysis of
steady states and their bifurcation structure, combining global
bifurcation results pioneered by Rabinowitz, equivariant
bifurcation theory, and the symmetries of the non-local term. These
methods allow readers to analyze and understand cell adhesion on a
deep level.
The book presents nine mini-courses from a summer school, Dynamics
of Biological Systems, held at the University of Alberta in 2016,
as part of the prestigious seminar series: Seminaire de
Mathematiques Superieures (SMS). It includes new and significant
contributions in the field of Dynamical Systems and their
applications in Biology, Ecology, and Medicine. The chapters of
this book cover a wide range of mathematical methods and biological
applications. They - explain the process of mathematical modelling
of biological systems with many examples, - introduce advanced
methods from dynamical systems theory, - present many examples of
the use of mathematical modelling to gain biological insight -
discuss innovative methods for the analysis of biological
processes, - contain extensive lists of references, which allow
interested readers to continue the research on their own.
Integrating the theory of dynamical systems with biological
modelling, the book will appeal to researchers and graduate
students in Applied Mathematics and Life Sciences.
This monograph considers the mathematical modeling of cellular
adhesion, a key interaction force in cell biology. While deeply
grounded in the biological application of cell adhesion and tissue
formation, this monograph focuses on the mathematical analysis of
non-local adhesion models. The novel aspect is the non-local term
(an integral operator), which accounts for forces generated by long
ranged cell interactions. The analysis of non-local models has
started only recently, and it has become a vibrant area of applied
mathematics. This monograph contributes a systematic analysis of
steady states and their bifurcation structure, combining global
bifurcation results pioneered by Rabinowitz, equivariant
bifurcation theory, and the symmetries of the non-local term. These
methods allow readers to analyze and understand cell adhesion on a
deep level.
The book presents nine mini-courses from a summer school, Dynamics
of Biological Systems, held at the University of Alberta in 2016,
as part of the prestigious seminar series: Seminaire de
Mathematiques Superieures (SMS). It includes new and significant
contributions in the field of Dynamical Systems and their
applications in Biology, Ecology, and Medicine. The chapters of
this book cover a wide range of mathematical methods and biological
applications. They - explain the process of mathematical modelling
of biological systems with many examples, - introduce advanced
methods from dynamical systems theory, - present many examples of
the use of mathematical modelling to gain biological insight -
discuss innovative methods for the analysis of biological
processes, - contain extensive lists of references, which allow
interested readers to continue the research on their own.
Integrating the theory of dynamical systems with biological
modelling, the book will appeal to researchers and graduate
students in Applied Mathematics and Life Sciences.
The aim of these lecture notes is to give an introduction to
several mathematical models and methods that can be used to
describe the behaviour of living systems. This emerging field of
application intrinsically requires the handling of phenomena
occurring at different spatial scales and hence the use of
multiscale methods.Modelling and simulating the mechanisms that
cells use to move, self-organise and develop in tissues is not only
fundamental to an understanding of embryonic development, but is
also relevant in tissue engineering and in other environmental and
industrial processes involving the growth and homeostasis of
biological systems. Growth and organization processes are also
important in many tissue degeneration and regeneration processes,
such as tumour growth, tissue vascularization, heart and muscle
functionality, and cardio-vascular diseases.
This beautifully crafted book collects images, which were created
during the process of research in all fields of theoretical
biology. Data analysis, numerical treatment of a model, or
simulation results yield stunning images, which represent pieces of
art just by themselves. The approach of the book is to present for
each piece of visualization a lucid synopsis of the scientific
background as well as an outline of the artistic vision.
This beautifully crafted book collects images, which were created
during the process of research in all fields of theoretical
biology. Data analysis, numerical treatment of a model, or
simulation results yield stunning images, which represent pieces of
art just by themselves. The approach of the book is to present for
each piece of visualization a lucid synopsis of the scientific
background as well as an outline of the artistic vision.
The field of mathematical biology is growing rapidly. Questions
about infectious diseases, heart attacks, cell signaling, cell
movement, ecology, environmental changes, and genomics are now
being analyzed using mathematical and computational methods. A
Course in Mathematical Biology teaches all aspects of modern
mathematical modeling and is specifically designed to introduce
undergraduate students to problem solving in the context of
biology. Divided into three parts, the book covers basic analytical
modeling techniques and model validation methods; introduces
computational tools used in the modeling of biological problems;
and provides a source of open-ended problems from epidemiology,
ecology, and physiology. All chapters include realistic biological
examples, and there are many exercises related to biological
questions. In addition, the book includes 25 open-ended research
projects that can be used by students. The book is accompanied by a
Web site that contains solutions to most of the exercises and a
tutorial for the implementation of the computational modeling
techniques. Calculations can be done in modern computing languages
such as Maple, Mathematica, and MATLAB(R).
|
You may like...
Ab Wheel
R209
R149
Discovery Miles 1 490
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Higher
Michael Buble
CD
(1)
R487
Discovery Miles 4 870
|