Moving Boundary Pde Analysis - Biomedical Applications in R

Informationen zum 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. Zusammenfassung The book is directed to the numerical integration (solution) of systems of partial differential equations (PDEs) for which the boundary conditions move in space. In applications, the physical boundaries move as the solution evolves in time. The book provides examples of the applications in tumor growth and atherosclerosis Inhaltsverzeichnis 1. PDE Model Formulation. 2. PDE Model Implementation. 3. PDE Model Output. 4. Tumor growth. 5. Plaque Formation in Atherosclerosis. Appendix A1. Test of Spline Regridding. Appendix A2. Test of Moving Boundary Algorithm Spline Formulation. Appendix A3. Test of Moving Boundary Algorithm Finite Difference Formulation.

Product details

• Authors: William Schiesser, William (Lehigh University Schiesser
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 14.06.2019
• EAN: 9780367224837
• ISBN: 978-0-367-22483-7
• No. of pages: 182
• Subjects: Natural sciences, medicine, IT, technology > Medicine > Pharmacy; MEDICAL / General, MATHEMATICS / Applied, MEDICAL / Biotechnology, TECHNOLOGY & ENGINEERING / Biomedical, MEDICAL / Evidence-Based Medicine, Differential calculus & equations, Applied mathematics, Biomedical engineering, Differential calculus and equations