Mathematical modeling of AI application for the diagnosis of blood flow disorders

Kapitel in diesem Buch

1. Frontmatter I
2. Prologue I VII
3. Prologue II XI
4. Prologue III XIII
5. Preface XVII
6. Overview XIX
7. Contents XXXIII
8. Part I: Theories
9. Part I-A: Overarching theory
10. Introduction 1
11. Universal axioms in classical Chinese philosophy 5
12. Category theory for structural characterization 15
13. Axiomatic bipolar dynamics and their control 45
14. Part I-B: Systems theories
15. Introduction 75
16. Stochastic formalization of agent-oriented systems 79
17. Simplification of high-dimensional multitempo dynamic models 109
18. Ideas of symmetry as a biophysical basis of system biomedicine 123
19. Disorder of multiscale control 149
20. Part II: Person’s life-sphere
21. Part II-A: Person’s biosphere
22. Introduction 185
23. Mutations as activators of biological evolutionary processes at population levels 189
24. Immunometabolism of T-cells in COVID-19 209
25. Part II-A.2: Body’s vital functions
26. Introduction 245
27. Structural modeling of vascular networks 249
28. Mathematical modeling of AI application for the diagnosis of blood flow disorders 283
29. Modeling of glucose and insulin regulation within the framework of a self-consistent model of the cardiovascular system 303
30. Hemodynamics in residual myocardial ischemia 319
31. The quasi-one-dimensional model of the lymph flow in the human lymphatic system 335
32. An integrate-and-fire mechanism for modeling rhythmicity in the neuroendocrine system 365
33. Kinetic network modeling of the neuroendocrine hypothalamic-pituitary-adrenal axis dynamics with particular attention on the role of alcohol as a digestif 377
34. Inflammation and immune response in atherosclerosis 393
35. Part II-A.3: Body’s motor functions
36. Introduction 423
37. A magnetic resonance spectroscopy approach to quantitatively measure GABA and phosphorus level changes in the primary motor cortex elicited by transcranial direct current stimulation 427
38. Part II-A.4: Body’s operational functions
39. Introduction 441
40. The fermionic mind hypothesis–a category-theoretic verification of consciousness 445
41. Cross-task cognitive workload measurement based on the sample selection of the EEG data 459
42. Part II-B: Person’s eco-sphere exposures
43. Introduction 475
44. The spread of SARS-CoV-2 in Russia and the evolution of the properties of the pathogen 479
45. Agent-based modeling of epidemic spread via kinetic Monte Carlo method 491
46. Control of SARS-nCoV outbreaks in China 2020 513
47. Part II-B.2: Civilization
48. Introduction 531
49. Pesticide exposure: Toward holistic environmental modeling 535
50. Part II-C: Person’s sociosphere exposures
51. Introduction 559
52. Evolution of the health system in Shanghai, China, 2016–2020 563
53. Part III: Technologies
54. Introduction 577
55. Design-process automation using functional process blocks 581
56. Slow/fast dynamic models with applications to engineering problems 601
57. Part III-B: Information sciences
58. Introduction 613
59. Numerical modeling of medical ultrasound using the grid-characteristic method 617
60. The direct and the inverse magnetic encephalography problem 635
61. Part III-C: Data-analytic sciences
62. Introduction 653
63. Assessing the bioequivalence of two different drugs with the same active ingredient 655
64. Estimation of adjusted relative risks in log-binomial regression using the Bekhit–Schöpe–Wagenpfeil algorithm 665
65. Part IV: Clinical medicine
66. Introduction 679
67. Finding optimal two-stage combined treatment protocols for a blood cancer model 681
68. Unraveling the mysteries: Mathematical perspectives on traditional Chinese medicine meridians 697
69. Epilogue 721
70. Index 723