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Book Cover
E-book
Author Goede, Simon

Title Thyroid Systems Engineering A Primer in Mathematical Modeling of the Hypothalamus-Pituitary-Thyroid Axis
Published Milton : River Publishers, 2018

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Description 1 online resource (337 p.)
Contents Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Acknowledgements -- List of Figures -- List of Tables -- List of Abbreviations -- 1: General Introduction -- 1.1 Introduction -- 2: Physiology of the HPT Axis -- 2.1 Synopsis of Thyroid Biochemistry and Molecular -- 2.2 Operation of the Hypothalamus-Pituitary (HP) -- 2.3 Thyroid Physiology -- 2.4 Physiological Feedback Representation of the HPT -- References -- 3: Modeling Principles -- 3.1 Introduction -- 3.2 Modeling Examples -- 3.2.1 Modeling Example 1
3.3 Electrical Network Representation of the Leaking Water Container -- 3.4 Static Modeling -- 3.5 Modeling Examples from Solid-State Physics and Electronic Engineering -- 3.6 General Appearance and Decay Model with Electrical Network Elements -- 3.7 Appearance Time Constant -- 3.8 Determining the Value of The Appearance Time Constant -- 3.9 Discussion -- 3.10 Conclusion -- References -- 4: Medical Statistics and Mathematical Modeling Make Strange Bedfellows -- 4.1 Introduction -- 4.2 Pitfalls in The Application of Inferential Statistical Methods
4.2.1 Explanation of the Observed Log-Linear Relationship Between [TSH] and [FT4] -- 4.3 Abuse of Mathematical Models -- 4.3.1 Critical Notes -- 4.4 Future Developments -- 4.5 Conclusion -- References -- 5: Systems Theory Applied on the Modeling of the HPT Axis and First Principles of Feedback and Homeostasis -- 5.1 Introduction -- 5.2 Definition of System Components -- 5.3 System Dynamics -- 5.4 Frequency Response of the First-Order Low-Pass Section -- 5.5 Cascading System Blocks -- 5.6 Example of a Feedback System -- 5.6.1 Feed Forward Compensation -- 5.7 Discussion -- References
6: The Mathematical Relationship Between [FT4] and [TSH] -- 6.1 Introduction -- 6.1.1 History -- 6.2 Linear-Logarithmic Relationship Between [FT4] and [TSH] -- 6.3 Modeling the Curved [FT4]-[TSH] Characteristic -- 6.4 Properties of the Exponential Function -- 6.4.1 Effect of the Multiplier Model Parameter S -- 6.4.2 Effect of the Exponential Model Parameter -- 6.5 Dynamic Signal Transfer of the HP Characteristic -- 6.6 Generalized Expression of the HP Characteristic -- 6.7 Discussion -- References -- 7: The Thyroid Gland and the Relationship Between [TSH] and [FT4] -- 7.1 Introduction
7.2 Model of the Thyroid Gland -- 7.3 Discussion -- References -- 8: The Hypothalamus-Pituitary (HPT) Set Point Theory -- 8.1 Introduction -- 8.2 The Hypothalamus-Pituitary (HP) Control System -- 8.3 Derivation of the Point of Maximum Curvature from the HP Function -- 8.4 Theory Behind of the Physiology of the Homeostatic Control Process -- 8.5 Point of Maximum Curvature of the Thyroid Characteristic -- 8.6 Discussion -- References -- 9: The Human Hypothalamus-Pituitary-Thyroid Control System -- 9.1 Introduction -- 9.2 Analysis of the HP Unit and Thyroid in the Closed-Loop Situation
Notes Description based upon print version of record
9.3 Small-Signal Model of the Thyroid
Form Electronic book
Author Leow, Melvin Khee-Shing
ISBN 9781000795943
1000795942