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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. Preface - p. ix 7. 1. One PDE model development - p. 1 8. 2. 1D PDE model implementation - p. 7 9. 3. 2D PDE model implementation - p. 37 10. 4. Two PDE model formulation - p. 71 11. 5. Stem cell metabolism and differentiation - p. 123 12. Index - p. 175
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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Copyright - p. iii 6. Preface - p. ix 7. 1. One PDE model development - p. 1 8. 2. 1D PDE model implementation - p. 7 9. 3. 2D PDE model implementation - p. 37 10. 4. Two PDE model formulation - p. 71 11. 5. Stem cell metabolism and differentiation - p. 123 12. Index - p. 175
