Thyroid systems engineering : a primer in mathematical modeling of the hypothalamus-pituitary-thyroid axis

Thyroid systems engineering : a primer in mathematical modeling of the hypothalamus-pituitary-thyroid axis /

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.

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Bibliographic Details
Online Access: Full text (MCPHS users only)
Main Authors: Goede, Simon Lucas (Author), Leow, Melvin Khee-Shing (Author)
Format: Electronic eBook
Language:English
Published: Gistrup, Denmark : River Publishers, 2018
Series:River Publishers series in biomedical engineering.
Subjects:
Thyroid gland > Physiology > Mathematical models.
Thyroid gland.
Mathematical models.
Thyroid Gland
Models, Theoretical
mathematical models.
Local Note:ProQuest Ebook Central
Table of Contents:
  • 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.
  • 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.
  • 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.
  • 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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