Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction to partial differential equation integration in space and time
- 2 Antibody binding kinetics
- 3 Acid-mediated tumor growth
- 4 Retinal O2 transport
- 5 Hemodialyzer dynamics
- 6 Epidermal wound healing
- 7 Drug distribution from a polymer matrix
- Appendix 1 Origin of convection-diffusion-reaction PDEs
- Appendix 2 Stiffness and eigenvalue analysis of ODE systems
- Index
- References
2 - Antibody binding kinetics
Published online by Cambridge University Press: 05 December 2012
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction to partial differential equation integration in space and time
- 2 Antibody binding kinetics
- 3 Acid-mediated tumor growth
- 4 Retinal O2 transport
- 5 Hemodialyzer dynamics
- 6 Epidermal wound healing
- 7 Drug distribution from a polymer matrix
- Appendix 1 Origin of convection-diffusion-reaction PDEs
- Appendix 2 Stiffness and eigenvalue analysis of ODE systems
- Index
- References
Summary
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- Type
- Chapter
- Information
- Partial Differential Equation Analysis in Biomedical EngineeringCase Studies with Matlab, pp. 148 - 183Publisher: Cambridge University PressPrint publication year: 2012
References
[1] , , and (1996), Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, SIAM, Philadelphia, 136Google Scholar
[2] and (2010), Mathematical description of microbial biofilms, SIAM Rev., 52 (2), 221–265CrossRefGoogle Scholar
[3] and (2004), Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple and MATLAB, Boca Raton, FL: Chapman & Hall/CRCGoogle Scholar
[4] and (2004), Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement, J. Comp. Phys., 198 (1), 310–325CrossRefGoogle Scholar
[5] and (2007), Initial value problems, Scholarpedia, 2 (3), 2861; www.scholarpedia.org/article/Initial_value_problemsCrossRefGoogle Scholar
[6] and (2007), Stiff systems, Scholarpedia, 2 (3), 2855; www.scholarpedia.org/article/Stiff_systemsCrossRefGoogle Scholar
[7] , , and (1999), A computational reaction-diffusion model for the analysis of transport-limited kinetics, Anal. Chem., 71, 5405–5412CrossRefGoogle ScholarPubMed