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Numerical Modeling of COVID-19 Neurological Effects ODEPDE Analysis in R.pdf
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Contents
Preface ..................................................................................................................... vii
Chapter 1 Source of Neurological Effects One PDE Model ............................ 1
1.1 Introduction............................................................................. 1
1.1.1 One PDE model formulation ..................................... 1
1.1.2 Summary and conclusions ......................................... 2
References........................................................................................ 3
Chapter 2 Implementation of the One PDE Model .......................................... 5
2.1 Introduction............................................................................. 5
2.1.1 R routines for the one PDE model ............................. 5
2.1.2 Summary and conclusions ....................................... 15
References...................................................................................... 16
Chapter 3 Two PDE Model ............................................................................ 17
3.1 Introduction........................................................................... 17
3.1.1 Two PDE model formulation ................................... 17
3.1.2 Summary and conclusions ....................................... 18
Reference ....................................................................................... 19
Chapter 4 Implementation of the Two PDE Model........................................ 21
4.1 Introduction........................................................................... 21
4.1.1 R routines for the two PDE model ........................... 21
4.1.2 Summary and conclusions ....................................... 38
References...................................................................................... 38
Chapter 5 Three PDE Model.......................................................................... 39
5.1 Introduction........................................................................... 39
5.1.1 Three PDE model formulation................................. 39
5.1.2 Three PDE model implementation........................... 39
5.1.3 Summary and conclusions ....................................... 53
Reference ....................................................................................... 53
Chapter 6 Case Studies................................................................................... 55
6.1 Introduction........................................................................... 55
6.1.1 Time variation of the brain O2 concentration .......... 55
6.1.2 LHS PDE time derivatives ....................................... 68
6.1.3 Analysis of PDE RHS terms .................................... 90
6.1.4 Summary and conclusions ....................................... 98
Reference ....................................................................................... 98
Appendix A: Introduction to PDE Analysis ........................................................ 99
Index ...................................................................................................................... 183


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