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Evolution Equations Arising in the Modelling of Life Sciences
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Evolution Equations Arising in the Modelling of Life Sciences Paperback - 2015

by Messoud Efendiev

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Reader reviews for Evolution Equations Arising in the Modelling of Life Sciences

From the publisher

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.

From the rear cover

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.

Details

  • Title Evolution Equations Arising in the Modelling of Life Sciences
  • Author Messoud Efendiev
  • Binding Paperback
  • Pages 217
  • Volumes 1
  • Language ENG
  • Publisher Birkhauser
  • Publication date 2015-04-12
  • Illustrated Yes
  • Features Illustrated
  • ISBN 9783034807807 / 3034807805
  • Weight 0.73 lbs (0.33 kg)
  • Dimensions 9.21 x 6.14 x 0.49 in (23.39 x 15.60 x 1.24 cm)
  • Themes
    • Topical: Ecology
  • Category Mathematics
  • Dewey Decimal Code 515.353

About the author

Messoud Efendiev is professor of mathematics, especially dynamical system, at the Helmholtz Center Munich, Germany.

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Evolution Equations Arising in the Modelling of Life Sciences

Evolution Equations Arising in the Modelling of Life Sciences

by Messoud Efendiev

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First 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, docto
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Evolution Equations Arising in the Modelling of Life Sciences

Evolution Equations Arising in the Modelling of Life Sciences

by Messoud Efendiev

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9783034807807 / 3034807805
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Paperback / softback. New. This book covers a new class of nonlinear reaction-diffusion convective equations simultaneously comprising two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. It derives realistic life science models based on experimental data.
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Evolution Equations Arising in the Modelling of Life Sciences
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Evolution Equations Arising in the Modelling of Life Sciences

by Efendiev, Messoud

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Birkhauser, 2013. Paperback. New. 2013 edition. 232 pages. 9.25x6.10x0.53 inches.
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Evolution Equations Arising In the Modelling Of Life Sciences
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Evolution Equations Arising In the Modelling Of Life Sciences

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Evolution Equations Arising in the Modelling of Life Sciences (International Series of Numerical...
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Evolution Equations Arising in the Modelling of Life Sciences (International Series of Numerical Mathematics, 163)

by Efendiev, Messoud

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Evolution Equations Arising In the Modelling Of Life Sciences
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Evolution Equations Arising In the Modelling Of Life Sciences

by Efendiev, Messoud,

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Evolution Equations Arising in the Modelling of Life Sciences (International Series of Numerical Mathematics)

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