Articles liés à Time Delay ODE/PDE Models

Time Delay ODE/PDE Models - Couverture rigide

Schiesser, W. E.

 
9780367427979: Time Delay ODE/PDE Models
Couverture rigide
ISBN 10 : 0367427974 ISBN 13 : 9780367427979
Editeur : CRC Press, 2019

Synopsis

Time delayed (lagged) variables are an inherent feature of biological/physiological systems.  For example, infection from a disease may at first be asymptomatic, and only after a delay is the infection apparent so that treatment can begin.Thus, to adequately describe physiological systems, time delays are frequently required and must be included in the equations of mathematical models.

The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models based on time delay ordinary differential equations (DODEs) and partial differential equations (DPDEs).  The DODE/DPDE methodology is presented through a series of example applications, particularly in biomedical science and engineering (BMSE).

The computer-based implementation of the example models is explained with routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet.  Formal mathematics is
minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers.

The DPDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences.  The example applications can first be executed to confirm the reported solutions, then extended by variation of the parameters and the equation terms, and even the forumulation and use of alternative DODE/DPDE models.

• Introduces time delay ordinary and partial differential equations (DODE/DPDEs) and their numerical computer-based integration (solution)

• Illustrates the computer implementation of DODE/DPDE models with coding (programming) in R, a quality, open-source scientific programming system readily available from the Internet

• Applies DODE/DPDE models to biological/physiological systems through a series of examples

• Provides the R routines for all of the illustrative applications through a download link

• Facilitates the use of the models with reasonable time and effort on modest computers

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

William E. Schiesser, PhD, is Emeritus McCann Professor in the Chemical and Biomolecular Engineering Department as well as a former professor in the Mathematics Department at Lehigh University.

À propos de la quatrième de couverture

The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models based on time delay ordinary differential equations (DODEs) and partial differential equations (DPDEs) in biomedical science and engineering (BMSE).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2019
Langue
anglais
ISBN 10 
0367427974
ISBN 13 
9780367427979
Reliure
Relié
Nombre de pages
237
Coordonnées du fabricant
CRC Press
https://www.routledge-ny.com

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