Spatial Dynamics Models In The Life Sciences And The Role Of Feedback In Robust Developments

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A01=Frederic Y M Wan
Author_Frederic Y M Wan
Biological Tissue Patterning
Category=PBWH
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Feedback in Biological Developments
Mathematical Biology
Multiple Concurrent Feedback
Partial Differential Equations
Robust Biological Developments
Spatial Dynamics Models in Life Sciences
Systems Biology

Product details

  • ISBN 9789811256561
  • Publication Date: 30 Jan 2023
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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Basic mathematical techniques for partial differential equations (PDE) with applications to the life sciences form an integral part of the core curriculum for programs in mathematical biology. Yet, students in such a program with an undergraduate training in biology are typically deficient in any exposure to PDE. This volume starts with simple first order PDE and progresses through higher order equations and systems but with interesting applications, even at the level of a single first order PDE with constant coefficients.Similar to the two previous volumes by the author, another unique feature of the book is highlighting the scientific theme(s) of interest for the biological phenomena being modelled and analysed. In addition to temporal evolution of a biological phenomenon, its limiting equilibrium states and their stability, the possibility of locational variations leads to a study of additional themes such as (signal and wave) propagation, spatial patterning and robustness. The requirement that biological developments are relatively insensitive to sustained environmental changes provides an opportunity to examine the issue of feedback and robustness not encountered in the previous two volumes of this series.

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