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This text discusses mathematical modelling, analysis and control of
the immune system and disease dynamics. The purpose of the book is
the practical application of mathematics to immunology and medicine
in order to establish a basis for more effective treatment, to
provide a tutorial systematic description of how the immune system
controls diseases and to present several significant examples such
as malignant tumour dynamics and control, and viral hepatitis. The
book is multidisciplinary in content, with the intended readers
including biomathematicians, biologists and physicists. It combines
immunological principles, mathematical models, computer simulations
and methods of analysis.
This book presents new original numerical methods that have been
developed to the stage of concrete algorithms and successfully
applied to practical problems in mathematical physics. The book
discusses new methods for solving stiff systems of ordinary
differential equations, stiff elliptic problems encountered in
problems of composite material mechanics, Navier-Stokes systems,
and nonstationary problems with discontinuous data. These methods
allow natural paralleling of algorithms and will find many
applications in vector and parallel computers.
This book presents new original numerical methods that have been
developed to the stage of concrete algorithms and successfully
applied to practical problems in mathematical physics. The book
discusses new methods for solving stiff systems of ordinary
differential equations, stiff elliptic problems encountered in
problems of composite material mechanics, Navier-Stokes systems,
and nonstationary problems with discontinuous data. These methods
allow natural paralleling of algorithms and will find many
applications in vector and parallel computers.
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