(Ebook PDF) Time Delay ODE PDE Modelsl Applications in Biomedical Science and Engineering 1st edition by Schiesser 1000763730 9781000763737 full chapters

Time Delay ODE/PDE Modelsl; Applications in Biomedical Science and Engineering 1st edition by W.E. Schiesser – Ebook PDF Instant Download/DeliveryISBN:  1000763730, 9781000763737 

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ISBN-10 ‏ : ‎1000763730

ISBN-13 ‏ : ‎ 9781000763737

Author :  W.E. Schiesser  

Time delayed (lagged) variables are an inherent feature of biological/physiological systems. For example, infection from a disease may at first be asymptomatic, and only after a delay is the infection apparent so that treatment can begin.Thus, to adequately describe physiological systems, time delays are frequently required and must be included in the equations of mathematical models. The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models based on time delay ordinary differential equations (DODEs) and partial differential equations (DPDEs). 

Time Delay ODE/PDE Modelsl; Applications in Biomedical Science and Engineering 1st Table of contents:

1. Introduction to Delay Ordinary Differential Equations
Introduction
1.1 Example 1: A basic DODE
1.1.1 Main program
1.1.2 DODE routine
1.1.3 Numerical, graphical output
1.2 Example 2: One DODE, effect of delay
1.2.1 Main program
1.2.2 DODE routine
1.2.3 Numerical, graphical output
1.3 Example 3: One DODE, equilibrium solutions
1.3.1 Main program
1.3.2 DODE routine
1.3.3 Numerical, graphical output
1.4 Example 4: Simultaneous DODEs
1.4.1 Main program
1.4.2 DODE routine
1.4.3 Numerical, graphical output
References
2. Introduction to Delay Partial Differential Equations
Introduction
2.1 DPDE model
2.1.1 Main program
2.1.2 DODE routine
2.1.3 Numerical, graphical output, no diffusion
2.1.4 Numerical, graphical output, Dirichlet BCs
2.1.5 Numerical, graphical output, Robin BCs
2.1.6 Numerical, graphical output, Gaussian IC
2.2 Convection diffusion reaction delayed PDE
2.2.1 Main program
2.2.2 DODE routine
2.2.3 Numerical, graphical output
2.3 Summary and conclusions
References
3. Hepatitis B Virus DPDE Model
Introduction
3.1 DPDE model
3.1.1 Main program
3.1.2 DODE routine
3.1.3 Numerical, graphical output
3.2 Summary and conclusions
References
4. Tumor-Induced Angiogenesis
Introduction
4.1 DPDE model
4.1.1 Main program
4.1.2 DODE routine
4.1.3 Subordinate routine
4.1.4 Numerical, graphical output
4.2 Summary and conclusions
Appendix A4: Implementation of the model
References
5. Metastatic Cancer Cell Invasion of Tissue
Introduction
5.1 DPDE model
5.1.1 Main program
5.1.2 DODE routine
5.1.3 Numerical, graphical output
5.2 Summary and conclusions
References
6. Subcutaneous Injection of Insulin
Introduction
6.1 DPDE model
6.1.1 Main program
6.1.2 DODE routine
6.1.3 Numerical, graphical output
6.2 Summary and conclusions
References
7. Hematopoietic Stem Cells
Introduction
7.1 DPDE model
7.1.1 Main program
7.1.2 DODE routine
7.1.3 Numerical, graphical output
7.2 Summary and conclusions
References
8. Drug Eluting Stents
Introduction
8.1 DPDE model, nondegradable stent coating
8.1.1 Main program
8.1.2 DODE routine
8.1.3 Numerical, graphical output
8.2 DPDE model, biodegradable stent coating
8.2.1 Main program
8.2.2 DODE routine
8.2.3 Subordinate routine
8.2.4 Numerical, graphical output
8.3 Summary and conclusions

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