PDE Modeling of Tissue Engineering and Regenerative Medicine - Computer Analysis in R

PDE Modeling of Tissue Engineering and Regenerative Medicine: Computer Analysis in R presents the formulation and computer implementation of mathematical models for the forefront research areas of tissue engineering and regenerative medicine. The mathematical model discussed in this book consists of a system of eight partial differential equations (PDEs) with dependent variables. The computer-based example models are presented through routines coded 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. Includes detailed examples that the reader can execute on modest computers.

List of contents

1. One PDE Stem Cell Model
2. Implementation of the One PDE Model
3. 2D PDE Model Implementation
4. Two PDE Model Formulation
5. Stem Cell Metabolism and Differentiation

About the author

Dr. William E. Schiesser is Emeritus McCann Professor of Chemical and Biomolecular Engineering, and Professor of Mathematics at Lehigh University. He holds a PhD from Princeton University and a ScD (hon) from the University of Mons, Belgium. His research is directed toward 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. He is the author or coauthor of more than 16 books, and his ODE/DAE/PDE computer routines have been accessed by some 5,000 colleges and universities, corporations and government agencies.

Product details

• Authors: W. E. (Professor of Chemical and Biomolecular Engineering and Professor of Mathematics Schiesser, William E. (Professor of Chemical and Biomolecular Engineering and Professor of Mathematics Schiesser, Schiesser William E.
• Publisher: Elsevier
• Languages: English
• Product format: Paperback / Softback
• Released: 25.08.2022
• EAN: 9780443187407
• ISBN: 978-0-443-18740-7
• Dimensions: 191 mm x 235 mm x 14 mm
• Weight: 450 g
• Subjects: Natural sciences, medicine, IT, technology > Medicine > General; SCIENCE / Life Sciences / Molecular Biology, Computational biology / bioinformatics, Medical bioinformatics, COMPUTERS / Data Science / Bioinformatics