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

Autor William E. Schiesser
en Limba Engleză Paperback – 25 aug 2022
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.

  • Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models
  • Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to the mathematical model and algorithms
  • Authored by a leading researcher and educator in PDE models
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Specificații

ISBN-13: 9780443187407
ISBN-10: 0443187401
Pagini: 188
Dimensiuni: 191 x 235 x 14 mm
Greutate: 0.34 kg
Editura: ELSEVIER SCIENCE

Public țintă

The primary audience includes researchers in computational modelling and computational biology, mathematicians, Computer Scientists, as well as researchers in Biomedical Engineering.

Cuprins

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