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Introduction
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Chapters in this book
- Frontmatter I
- Prologue I VII
- Prologue II XI
- Prologue III XIII
- Preface XVII
- Overview XIX
- Contents XXXIII
-
Part I: Theories
-
Part I-A: Overarching theory
- Introduction 1
- Universal axioms in classical Chinese philosophy 5
- Category theory for structural characterization 15
- Axiomatic bipolar dynamics and their control 45
-
Part I-B: Systems theories
- Introduction 75
- Stochastic formalization of agent-oriented systems 79
- Simplification of high-dimensional multitempo dynamic models 109
- Ideas of symmetry as a biophysical basis of system biomedicine 123
- Disorder of multiscale control 149
-
Part II: Person’s life-sphere
-
Part II-A: Person’s biosphere
- Introduction 185
- Mutations as activators of biological evolutionary processes at population levels 189
- Immunometabolism of T-cells in COVID-19 209
-
Part II-A.2: Body’s vital functions
- Introduction 245
- Structural modeling of vascular networks 249
- Mathematical modeling of AI application for the diagnosis of blood flow disorders 283
- Modeling of glucose and insulin regulation within the framework of a self-consistent model of the cardiovascular system 303
- Hemodynamics in residual myocardial ischemia 319
- The quasi-one-dimensional model of the lymph flow in the human lymphatic system 335
- An integrate-and-fire mechanism for modeling rhythmicity in the neuroendocrine system 365
- Kinetic network modeling of the neuroendocrine hypothalamic-pituitary-adrenal axis dynamics with particular attention on the role of alcohol as a digestif 377
- Inflammation and immune response in atherosclerosis 393
-
Part II-A.3: Body’s motor functions
- Introduction 423
- 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
-
Part II-A.4: Body’s operational functions
- Introduction 441
- The fermionic mind hypothesis–a category-theoretic verification of consciousness 445
- Cross-task cognitive workload measurement based on the sample selection of the EEG data 459
-
Part II-B: Person’s eco-sphere exposures
- Introduction 475
- The spread of SARS-CoV-2 in Russia and the evolution of the properties of the pathogen 479
- Agent-based modeling of epidemic spread via kinetic Monte Carlo method 491
- Control of SARS-nCoV outbreaks in China 2020 513
-
Part II-B.2: Civilization
- Introduction 531
- Pesticide exposure: Toward holistic environmental modeling 535
-
Part II-C: Person’s sociosphere exposures
- Introduction 559
- Evolution of the health system in Shanghai, China, 2016–2020 563
-
Part III: Technologies
- Introduction 577
- Design-process automation using functional process blocks 581
- Slow/fast dynamic models with applications to engineering problems 601
-
Part III-B: Information sciences
- Introduction 613
- Numerical modeling of medical ultrasound using the grid-characteristic method 617
- The direct and the inverse magnetic encephalography problem 635
-
Part III-C: Data-analytic sciences
- Introduction 653
- Assessing the bioequivalence of two different drugs with the same active ingredient 655
- Estimation of adjusted relative risks in log-binomial regression using the Bekhit–Schöpe–Wagenpfeil algorithm 665
-
Part IV: Clinical medicine
- Introduction 679
- Finding optimal two-stage combined treatment protocols for a blood cancer model 681
- Unraveling the mysteries: Mathematical perspectives on traditional Chinese medicine meridians 697
- Epilogue 721
- Index 723
Chapters in this book
- Frontmatter I
- Prologue I VII
- Prologue II XI
- Prologue III XIII
- Preface XVII
- Overview XIX
- Contents XXXIII
-
Part I: Theories
-
Part I-A: Overarching theory
- Introduction 1
- Universal axioms in classical Chinese philosophy 5
- Category theory for structural characterization 15
- Axiomatic bipolar dynamics and their control 45
-
Part I-B: Systems theories
- Introduction 75
- Stochastic formalization of agent-oriented systems 79
- Simplification of high-dimensional multitempo dynamic models 109
- Ideas of symmetry as a biophysical basis of system biomedicine 123
- Disorder of multiscale control 149
-
Part II: Person’s life-sphere
-
Part II-A: Person’s biosphere
- Introduction 185
- Mutations as activators of biological evolutionary processes at population levels 189
- Immunometabolism of T-cells in COVID-19 209
-
Part II-A.2: Body’s vital functions
- Introduction 245
- Structural modeling of vascular networks 249
- Mathematical modeling of AI application for the diagnosis of blood flow disorders 283
- Modeling of glucose and insulin regulation within the framework of a self-consistent model of the cardiovascular system 303
- Hemodynamics in residual myocardial ischemia 319
- The quasi-one-dimensional model of the lymph flow in the human lymphatic system 335
- An integrate-and-fire mechanism for modeling rhythmicity in the neuroendocrine system 365
- Kinetic network modeling of the neuroendocrine hypothalamic-pituitary-adrenal axis dynamics with particular attention on the role of alcohol as a digestif 377
- Inflammation and immune response in atherosclerosis 393
-
Part II-A.3: Body’s motor functions
- Introduction 423
- 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
-
Part II-A.4: Body’s operational functions
- Introduction 441
- The fermionic mind hypothesis–a category-theoretic verification of consciousness 445
- Cross-task cognitive workload measurement based on the sample selection of the EEG data 459
-
Part II-B: Person’s eco-sphere exposures
- Introduction 475
- The spread of SARS-CoV-2 in Russia and the evolution of the properties of the pathogen 479
- Agent-based modeling of epidemic spread via kinetic Monte Carlo method 491
- Control of SARS-nCoV outbreaks in China 2020 513
-
Part II-B.2: Civilization
- Introduction 531
- Pesticide exposure: Toward holistic environmental modeling 535
-
Part II-C: Person’s sociosphere exposures
- Introduction 559
- Evolution of the health system in Shanghai, China, 2016–2020 563
-
Part III: Technologies
- Introduction 577
- Design-process automation using functional process blocks 581
- Slow/fast dynamic models with applications to engineering problems 601
-
Part III-B: Information sciences
- Introduction 613
- Numerical modeling of medical ultrasound using the grid-characteristic method 617
- The direct and the inverse magnetic encephalography problem 635
-
Part III-C: Data-analytic sciences
- Introduction 653
- Assessing the bioequivalence of two different drugs with the same active ingredient 655
- Estimation of adjusted relative risks in log-binomial regression using the Bekhit–Schöpe–Wagenpfeil algorithm 665
-
Part IV: Clinical medicine
- Introduction 679
- Finding optimal two-stage combined treatment protocols for a blood cancer model 681
- Unraveling the mysteries: Mathematical perspectives on traditional Chinese medicine meridians 697
- Epilogue 721
- Index 723