Identification Of Nonlinear Physiological Systems

David T. Westwick, Robert E. Kearney

Identification Of Nonlinear Physiological Systems
  • 出版商: Wiley
  • 出版日期: 2003-08-28
  • 售價: $6,710
  • 貴賓價: 9.5 折 $6,375
  • 語言: 英文
  • 頁數: 280
  • 裝訂: Hardcover
  • ISBN: 0471274569
  • ISBN-13: 9780471274568

    • 海外代購書籍(需單獨結帳)

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Description:

A comprehensive reference for nonlinear identification of biomedical systems

System identification encompasses a set of tools that construct mathematical models of dynamic systems from measurements of their inputs and outputs. Since many of the systems that are of interest to biomedical engineers and physiologists are nonlinear, mathematical models of nonlinear systems, and methods to construct them from experimental measurements, are required.

Identification of Nonlinear Physiological Systems presents the methods used to identify models of nonlinear systems from measurements in order to enable readers to make informed decisions regarding which techniques are likely to be most applicable to a given system or experiment. Providing both the theoretical background of the methods and practical advice on how to implement, apply, and interpret the results of these methods, the book:

  • Reviews linear system models that are the bases for nonlinear models
  • Develops nonlinear system models with an emphasis on the relationships between them
  • Includes running MATLAB® examples to illustrate the results obtained by different methods when applied to the same data
  • Details the relationships between various approaches and discusses their relative strengths and weaknesses
  • Presents the results from several key studies employing system identification methods

Recent advances in such fields as high throughput genomics and proteomics and growing interest in the new paradigm of systems biology are making an understanding of nonlinear systems ever more urgent. Identification of Nonlinear Physiological Systems is a welcome reference for anyone involved in the study of the nonlinear dynamic behavior of biomedical systems.

 

Table of Contents:

Preface.

1. Introduction.

1.1 Signals.

1.2 Systems and Models.

1.3 System Modeling.

1.4 System Identification.

1.5 How Common are Nonlinear Systems?

2. Background.

2.1 Vectors and Matrices.

2.2 Gaussian Random Variables.

2.3 Correlation Functions.

2.4 Mean-Square Parameter Estimation.

2.5 Polynomials.

2.6 Notes and References.

2.7 Problems.

2.8 Computer Exercises.

3. Models of Linear Systems.

3.1 Linear Systems.

3.2 Nonparametric Models.

3.3 Parametric Models.

3.4 State-Space Models.

3.5 Notes and References.

3.6 Theoretical Problems.

3.7 Computer Exercises.

4. Models of Nonlinear Systems.

4.1 The Volterra Series.

4.2 The Wiener Series.

4.3 Simple Block Structures.

4.4 Parallel Cascades.

4.5 The Wiener-Bose Model.

4.6 Notes and References.

4.7 Theoretical Problems.

4.8 Computer Exercises.

5. Identification of Linear Systems.

5.1 Introduction.

5.2 Nonparametric Time-Domain Models.

5.3 Frequency Response Estimation.

5.4 Parametric Methods.

5.5 Notes and References.

5.6 Computer Exercises.

6. Correlation-Based Methods.

6.1 Methods for Functional Expansions.

6.2 Block Structured Models.

6.3 Problems.

6.4 Computer Exercises.

7. Explicit Least-Squares Methods.

7.1 Introduction.

7.2 The Orthogonal Algorithms.

7.3 Expansion Bases.

7.4 Principal Dynamic Modes.

7.5 Problems.

7.6 Computer Exercises.

8. Iterative Least-Squares Methods.

8.1 Optimization Methods.

8.2 Parallel Cascade Methods.

8.3 Application: Visual Processing in the Light Adapted Fly Retina.

8.4 Problems

8.5 Computer Exercises.

References.

Index.

IEEE Press Series in Biomedical Engineering. 

商品描述(中文翻譯)

描述：
這是一本關於生物醫學系統非線性識別的綜合參考書籍。系統識別涵蓋了一組工具，這些工具從動態系統的輸入和輸出測量中構建數學模型。由於許多生物醫學工程師和生理學家所關注的系統是非線性的，因此需要非線性系統的數學模型以及從實驗測量中構建這些模型的方法。《非線性生理系統的識別》介紹了用於從測量中識別非線性系統模型的方法，以幫助讀者做出明智的決策，了解哪些技術可能最適用於特定系統或實驗。該書提供了方法的理論背景以及如何實施、應用和解釋這些方法結果的實用建議，內容包括：
- 回顧作為非線性模型基礎的線性系統模型
- 強調非線性系統模型之間關係的發展
- 包含運行 MATLAB® 範例，以說明不同方法在相同數據上獲得的結果
- 詳細說明各種方法之間的關係，並討論它們的相對優缺點
- 提供幾個關鍵研究的結果，這些研究採用了系統識別方法

在高通量基因組學和蛋白質組學等領域的最新進展，以及對系統生物學新範式日益增長的興趣，使得理解非線性系統變得愈加迫切。《非線性生理系統的識別》是任何參與生物醫學系統非線性動態行為研究的人的重要參考。

目錄：
前言
1. 介紹
1.1 信號
1.2 系統與模型
1.3 系統建模
1.4 系統識別
1.5 非線性系統的普遍性
2. 背景
2.1 向量與矩陣
2.2 高斯隨機變數
2.3 相關函數
2.4 均方參數估計
2.5 多項式
2.6 註釋與參考文獻
2.7 問題
2.8 電腦練習
3. 線性系統模型
3.1 線性系統
3.2 非參數模型
3.3 參數模型
3.4 狀態空間模型
3.5 註釋與參考文獻
3.6 理論問題
3.7 電腦練習
4. 非線性系統模型
4.1 Volterra 系列
4.2 Wiener 系列
4.3 簡單區塊結構
4.4 並行級聯
4.5 Wiener-Bose 模型
4.6 註釋與參考文獻
4.7 理論問題
4.8 電腦練習
5. 線性系統的識別
5.1 介紹
5.2 非參數時域模型
5.3 頻率響應估計
5.4 參數方法
5.5 註釋與參考文獻
5.6 電腦練習
6. 基於相關的方法
6.1 功能展開的方法
6.2 區塊結構模型
6.3 問題
6.4 電腦練習
7. 顯式最小二乘法

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