臺灣博碩士論文加值系統

生物系統中的訊息傳導網路有著高度的複雜性。如何有系統地將訊息傳導網路數學模型化，並更進一步發展出一套適當且有效率的控制策略，是對控制學門的研究學者們非常有吸引力的。在本論文的初步研究中，提出了訊息傳導網路數學模型化的方法，並且也提出了一個控制器設計構想；其中在數學模型化的部份，本論文提出一個新的串接分析數學模型。本論文提供了廣泛對於訊息傳導網路系統的動態、穩態、穩定性、靈敏度和控制器的設計模擬驗證。希望本研究發展的理論對未來訊息傳導網路的研究發展上有正面的助益。

Signal transduction networks of biological systems are highly complex. How to mathematically describe a signal transduction network by systematic approaches so as to further develop an appropriate and effective control strategy is attractive to control engineers. In this thesis, a mathematical model and a controller design idea of signal transduction networks are presented. For constructing mathematical model, a new cascaded analysis model is proposed. Dynamic analysis, steady-state analysis, stability analysis, sensitivity analysis and controller design are simulated and fully verified. It is expected that this research could be a basis for constructing mathematical models and designing controllers for signal transduction networks in biological systems.

Contents
誌謝 (i)
中文摘要 (ii)
Abstract (iii)
Contents (iv)
List of Figures (vi)
List of Tables (ix)
Chapter 1 Introduction (1)
Chapter 2 Mathematical Model for Signal Transduction Networks (4)
2.1 S-systems (4)
2.2 Parameter Estimation (5)
2.3 Signal Transduction Networks Model (7)
2.4 Cascaded Analysis Model (10)
Chapter 3 Stability and Sensitivity Analysis (13)
3.1 Threshold parameter values of S-systems (13)
3.2 Stability of Linearized Model (15)
3.3 Sensitivity Analysis (19)
Chapter 4 Control Design (24)
4.1 Control Design Using Feedback Linearization (24)
Chapter 5 Numerical Simulations (30)
5.1 Parameter estimation (30)
5.2 Cascaded analysis model (32)
5.3 Stability of Taylor’s linerized model (33)
5.4 Sensitivity analysis (35)
5.5 Control design (37)
5.6 Control Design for Cascaded Analysis Model (41)
Chapter 6 Discussion (47)
Chapter 7 Conclusions (49)
Reference (51)

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