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Evolution Equations Arising in the Modelling of Life Sciences

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Published by Springer Basel, Imprint: Birkhäuser in Basel .
Written in English

Subjects:

  • Ecology,
  • Biological models,
  • Mathematical and Computational Biology,
  • Partial Differential equations,
  • Cellular and Medical Topics Physiological,
  • Theoretical Ecology/Statistics,
  • Systems biology,
  • Mathematics,
  • Physiology

Book details:

About the Edition

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.

Edition Notes

Statementby Messoud Efendiev
SeriesInternational Series of Numerical Mathematics -- 163
ContributionsSpringerLink (Online service)
Classifications
LC ClassificationsQH323.5, QH324.2-324.25
The Physical Object
Format[electronic resource] /
PaginationXII, 217 p. 30 illus., 15 illus. in color.
Number of Pages217
ID Numbers
Open LibraryOL27073285M
ISBN 109783034806152

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This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. Evolution Equations Arising in the Modelling of Life Sciences. by Messoud Efendiev. International Series of Numerical Mathematics (Book ) Thanks for Sharing! You submitted the following rating and review. We'll publish them on our site once we've reviewed : Springer Basel. Get this from a library! Evolution equations arising in the modelling of life sciences. [Messoud Efendiev] -- This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive. springer, This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data.

Springer, p. This book deals with modelling, analysis and simulation of problems arising in the life sciences, in particular, biological processes. Such problems play a very important role in many scientific and technological areas and is a truly interdisciplinary research topic. Indeed. Lee "Evolution Equations Arising in the Modelling of Life Sciences" por Messoud Efendiev disponible en Rakuten Kobo. This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in b Brand: Springer Basel. Free 2-day shipping. Buy Evolution Equations Arising in the Modelling of Life Sciences (Hardcover) at Buy Evolution Equations Arising in the Modelling of Life Sciences by Messoud Efendiev from Waterstones today! Click and Collect from your local Waterstones .

Efendiev M. () Global Attractors for Autonomous Evolution Equations. In: Evolution Equations Arising in the Modelling of Life Sciences. International Series of Numerical Mathematics, vol Author: Messoud Efendiev. “The author, in this short book, develops a variety of multi-scale mathematical models for cancer cell phenomena that occur at several different stages in the development and progression of cancer. this book is a useful addition to the growing literature on the mathematical biology of the evolution and behavior of cancer and tumor cells. “This book presents a variety of phenomena arising in the analysis of partial differential equations modelling of biological, physical and chemical processes. This book can well serve as a textbook for a course on master's level. Exercise problems are given in each chapter.” (Jonathan Zinsl, zbMATH , )Format: Paperback. Mathematics, an international, peer-reviewed Open Access journal. Dear Colleagues, Recently, interactions between researchers working in the field of mathematical physics and in the field of applied sciences have gained much attention, and new challenges have been raised including the possibility to derive evolution differential equations that are able to describe most phenomena arising in.