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Cancer Modelling and Simulation (Hardcover): Rakesh K Jain Cancer Modelling and Simulation (Hardcover)
Rakesh K Jain; Edited by Luigi Preziosi; Series edited by Louis J. Gross; Contributions by Nicola Bellomo; Series edited by Suzanne Lenhart; Contributions by …
R6,574 Discovery Miles 65 740 Ships in 12 - 17 working days

Tumour evolution is a complex process involving many different phenomena. Mathematical modelling and computer simulations can help us understand these phenomena, but their development requires a multidisciplinary background-one that includes an understanding of the biological phenomena involved and knowledge of the mathematical techniques used to obtain both qualitative and quantitative results.

Cancer Modelling and Simulation builds the requisite biological foundation and presents the mathematical models and methods most useful for understanding the dynamics of tumour development and growth. In chapters contributed by an interdisciplinary team of leading researchers, this book addresses the entire modelling process, from phenomenological observation to simulation and validation, through the development of mathematical models and their qualitative and quantitative study.

This treatment effectively links the analytical, mathematical, and biological aspects of tumour growth modelling to provide researchers from multiple disciplines with the common language and practical knowledge they need to break down the barriers that can hamper interdisciplinary research. Cancer Modelling and Simulation is an important contribution to the field that undoubtedly will stimulate and remain a valuable reference for continued research for many years.

Ordinary and Partial Differential Equations - Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April... Ordinary and Partial Differential Equations - Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April 2, 1982 (Paperback, 1982 ed.)
W.N. Everitt, B.D. Sleeman
R2,044 Discovery Miles 20 440 Ships in 10 - 15 working days
Ordinary and Partial Differential Equations - Proceedings of the Sixth Conference Held at Dundee, Scotland, March 31 - April 4,... Ordinary and Partial Differential Equations - Proceedings of the Sixth Conference Held at Dundee, Scotland, March 31 - April 4, 1980 (Paperback, 1981 ed.)
W.N. Everitt, B.D. Sleeman
R1,493 Discovery Miles 14 930 Ships in 10 - 15 working days
Ordinary and Partial Differential Equations - Proceedings of the Fourth Conference Held at Dundee, Scotland, March 30 - April... Ordinary and Partial Differential Equations - Proceedings of the Fourth Conference Held at Dundee, Scotland, March 30 - April 2, 1976 (English, German, Paperback, 1976 ed.)
W. M. Everitt, B.D. Sleeman
R1,732 Discovery Miles 17 320 Ships in 10 - 15 working days
Ordinary and Partial Differential Equations - Proceedings of the Conference held at Dundee, Scotland, 26-29 March, 1974... Ordinary and Partial Differential Equations - Proceedings of the Conference held at Dundee, Scotland, 26-29 March, 1974 (Paperback, 1974 ed.)
B.D. Sleeman, I. M. Michael
R1,870 Discovery Miles 18 700 Ships in 10 - 15 working days
Conference on the Theory of Ordinary and Partial Differential Equations - Held in Dundee/Scotland, March 28 - 31, 1972... Conference on the Theory of Ordinary and Partial Differential Equations - Held in Dundee/Scotland, March 28 - 31, 1972 (Paperback, 1972 ed.)
W.N. Everitt, B.D. Sleeman
R1,486 Discovery Miles 14 860 Ships in 10 - 15 working days
Differential Equations and Mathematical Biology (Hardcover, 2nd edition): D.S. Jones, Michael Plank, B.D. Sleeman Differential Equations and Mathematical Biology (Hardcover, 2nd edition)
D.S. Jones, Michael Plank, B.D. Sleeman
R2,682 Discovery Miles 26 820 Ships in 12 - 17 working days

Deepen students' understanding of biological phenomena

Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical techniques used to understand biological phenomena. In this edition, many of the chapters have been expanded to include new and topical material.

New to the Second Edition

  • A section on spiral waves
  • Recent developments in tumor biology
  • More on the numerical solution of differential equations and numerical bifurcation analysis
  • MATLAB(r) files available for download online
  • Many additional examples and exercises

This textbook shows how first-order ordinary differential equations (ODEs) are used to model the growth of a population, the administration of drugs, and the mechanism by which living cells divide. The authors present linear ODEs with constant coefficients, extend the theory to systems of equations, model biological phenomena, and offer solutions to first-order autonomous systems of nonlinear differential equations using the Poincare phase plane. They also analyze the heartbeat, nerve impulse transmission, chemical reactions, and predator-prey problems. After covering partial differential equations and evolutionary equations, the book discusses diffusion processes, the theory of bifurcation, and chaotic behavior. It concludes with problems of tumor growth and the spread of infectious diseases."

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