Main description:

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.

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