Moving Boundary PDE Analysis: Biomedical Applications in R - Hardcover

Schiesser, William E.

Hardcover

ISBN 10: 0367224836 ISBN 13: 9780367224837

Verlag: Taylor & Francis Ltd, 2019

Inhaltsangabe

Mathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions).

For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack).

These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the reader/analyst/researcher can use MFPDE models without having to first study numerical methods and computer programming.

Über diesen Titel

Über die Autorin bzw. den Autor

William E. Schiesser, emeritus professor at Lehigh University. Schiesser is the Emeritus McCann Professor in the chemical and biomolecular engineering department as well as a former professor in the mathematics department. recently authored several books on computer-based solutions to model real-life phenomena, such as the development of Parkinson’s disease.Schiesser holds a Ph.D. from Princeton University and an honorary Sc.D. from the University of Mons, Belgium. He is the author or co-author of numerous books in his field of research on numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs) and the development of mathematical models based on ODE/DAE/PDEs.

Details zur Ausgabe

• Verlag: Taylor & Francis Ltd
• Erscheinungsdatum: 2019
• Sprache: Englisch
• ISBN 10: 0367224836
• ISBN 13: 9780367224837
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 181
• Kontakt zum Hersteller: CRC Press; https://www.routledge-ny.com; ; 6000 BROKEN SOUND PARKWAY, NW SUITE 300; BOCA RATON; FL; 33487; USA
• Verantwortliche Person: Taylor & Francis Verlag GmbH; GPSR@taylorandfrancis.com; ; Kaufingerstraße 24, 80331 München, Germany; München; Deutschland