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|a Goede, Simon Lucas,
|e author.
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|a Thyroid systems engineering :
|b a primer in mathematical modeling of the hypothalamus-pituitary-thyroid axis /
|c Simon Lucas Goede, Melvin Khee-Shing Leow.
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|a Gistrup, Denmark :
|b River Publishers,
|c [2018]
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|a 1 online resource
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| 336 |
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|a River Publishers Series in Biomedical Engineering
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|a Front Cover; Half Title Page; RIVER PUBLISHERS SERIES IN BIOMEDICALENGINEERING; Title Page -- Thyroid Systems EngineeringA Primer in Mathematical Modeling of theHypothalamus-Pituitary-Thyroid Axis; Copyright Page; DEDICATION; Contents; Preface; Acknowledgements; List of Figures; List of Tables; List of Abbreviations; Chapter 1 -- General Introduction; 1.1 Introduction; Chapter 2 -- Physiology of the HPT Axis; 2.1 Synopsis of Thyroid Biochemistry and Molecular; 2.2 Operation of the Hypothalamusâ#x80;#x93;Pituitary (HP); 2.3 Thyroid Physiology; 2.4 Physiological Feedback Representation of the HPT.
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|a ReferencesChapter 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; Chapter 4-Medical Statistics and Mathematical Modeling Make Strange Bedfellows; 4.1 Introduction.
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|a 4.2 Pitfalls in the Application of Inferential Statistical Methods4.2.1 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; Chapter 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.
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|a 5.6.1 Feed Forward Compensation5.7 Discussion; References; Chapter 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]â#x80;#x93;[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.
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|a Chapter 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; Chapter 8 -- The Hypothalamusâ#x80;#x93;Pituitary (HPT) Set Point Theory; 8.1 Introduction; 8.2 The Hypothalamusâ#x80;#x93;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; Chapter 9 -- The Human Hypothalamusâ#x80;#x93;Pituitaryâ#x80;#x93;Thyroid Control System.
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|a 9.1 Introduction.
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|a Targets an optimal treatment of people suffering from thyroid hormone disorders. The content is motivated by in-depth observations of such patients whose rich data supported the theoretical framework arising from formal mathematical reasoning, guided by the nature of thyroid physiology.
|b Through a combination of formal mathematical reasoning and knowledge of the nature of thyroid physiology and supported by in-depth patient observations, this volume hones in on finding optimal treatment for people suffering from thyroid hormone disorders. At the same time, the editors--respectively an electrical engineer and a clinical thyroidoloist--introduce a new discipline aptly designated as Thyroid Systems Engineering. Readers will discover that mathematics can indeed model the behavior of the hypothalamus-pituitary-thyroid (HPT) axis. Focused on modeling, each of the eighteen chapters gives the reader a notion of the application of relevant mathematics to pertinent issues encountered in mainstream thyroidology. Many cellular processes resemble the flux of variables and states in a complex multi-parameter space through time analogous to current flow in electrical networks. It is then logical to apply the principles and physical laws of electrodynamics, electrical network theory, control systems theory and signal theory to many of the biological phenomena encountered in endocrinology. Such an approach is used liberally throughout the book and successfully yields elegant solutions to a number of models presented within. This book can serve as a reference to mathematical modeling in other aspects of endocrine physiology, and as the starting point for a fundamental course in medical modeling. It will appeal to postgraduates in electrical engineering, academic physicians and biomedical researchers. Further, readers equipped with advanced calculus, electrical network theory, control theory and signal theory should be able to follow the mathematical expositions that describe thyrotropic control. These expositions represent a new discipline based on mathematical modeling in physiology which is applicable to medical diagnostics, measurement, and treatment, allowing clinical teams to realize an optimized treatment for patients.
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|a Simon Goede, Melvin Khee-Shing Leow
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| 650 |
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|a Thyroid gland
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|a Mathematical models.
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|t Thyroid systems engineering.
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|z 9788793609594
|w (OCoLC)1015856715
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| 830 |
|
0 |
|a River Publishers series in biomedical engineering.
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