Modelling Optimization and Control of Biomedical Systems

Herausgegeben:Pistikopoulos, Efstratios N.; Nascu, Ioana; Velliou, Eirini G.

• Gebundenes Buch

Produktbeschreibung

Shows the newest developments in the field of multi-parametric model predictive control and optimization and their application for drug delivery systems

This book is based on the Modelling, Control and Optimization of Biomedical Systems (MOBILE) project, which was created to derive intelligent computer model-based systems for optimization of biomedical drug delivery systems in the cases of diabetes, anaesthesia, and blood cancer. These systems can ensure reliable and fast calculation of the optimal drug dosage without the need for an online computer--while taking into account the specifics and constraints of the patient model, flexibility to adapt to changing patient characteristics and incorporation of the physician's performance criteria, and maintaining the safety of the patients.

Modelling Optimization and Control of Biomedical Systems covers: mathematical modelling of drug delivery systems; model analysis, parameter estimation, and approximation; optimizationand control; sensitivity analysis & model reduction; multi-parametric programming and model predictive control; estimation techniques; physiologically-based patient model; control design for volatile anaesthesia; multiparametric model based approach to intravenous anaesthesia; hybrid model predictive control strategies; Type I Diabetes Mellitus; in vitro and in silico block of the integrated platform for the study of leukaemia; chemotherapy treatment as a process systems application; and more.
_ Introduces readers to the Modelling, Control and Optimization of Biomedical Systems (MOBILE) project
_ Presents in detail the theoretical background, computational tools, and methods that are used in all the different biomedical systems
_ Teaches the theory for multi-parametric mixed-integer programming and explicit optimal control of volatile anaesthesia
_ Provides an overview of the framework for modelling, optimization, and control of biomedical systems

This book will appeal to students, researchers, and scientists working on the modelling, control, and optimization of biomedical systems and to those involved in cancer treatment, anaesthsia, and drug delivery systems.

Produktdetails

• Verlag: Wiley / Wiley & Sons
• Artikelnr. des Verlages: 1W118965590
• 1. Auflage
• Seitenzahl: 328
• Erscheinungstermin: 9. Januar 2018
• Englisch
• Abmessung: 231mm x 157mm x 23mm
• Gewicht: 295g
• ISBN-13: 9781118965597
• ISBN-10: 1118965590
• Artikelnr.: 43229888

Autorenporträt

Efstratios N. Pistikopoulos, PhD, is the Interim Co-Director and Deputy Director of the Texas A&M Energy Institute, as well as a TEES Distinguished Research Professor in the Artie McFerrin Department of Chemical Engineering at Texas A&M University. Professor Pistikopoulos received the Computing in Chemical Engineering Award from the American Institute of Chemical Engineers (AIChE) in 2012 and was elected Fellow of the Royal Academy of Engineering in the UK in 2013. Ioana Nașcu, PhD, MEng, is a Postdoctoral Research Associate at Artie McFerrin Department of Chemical Engineering, Texas A&M University. Her research focuses on developing advanced multi-parametric optimization and control strategies for biomedical processes. Eirini G. Velliou, PhD, MEng, FHEA, is Principal Investigator and founder of the Bioprocess and Biochemical Engineering Group (BioProChem) at the Department of Chemical and Process Engineering of the University of Surrey. Her research focus includes cancer tissue engineering and environmental (cancer cell) stress response.

Inhaltsangabe

List of Contributors xiii

Preface xv

Part I 1

1 Framework and Tools: A Framework for Modelling, Optimization and Control of Biomedical Systems 3
Eirini G. Velliou, Ioana Nascu, Stamatina Zavitsanou, Eleni Pefani, Alexandra Krieger, Michael C. Georgiadis, and Efstratios N. Pistikopoulos

1.1 Mathematical Modelling of Drug Delivery Systems 3

1.1.1 Pharmacokinetic Modelling 3

1.1.1.1 Compartmental Models 3

1.1.1.2 Physiologically Based Pharmacokinetic Models 5

1.1.2 Pharmacodynamic Modelling 5

1.2 Model analysis, Parameter Estimation and Approximation 7

1.2.1 Global Sensitivity Analysis 8

1.2.2 Variability Analysis 8

1.2.3 Parameter Estimation and Correlation 9

1.3 Optimization and Control 9

References 11

2 Draft Computational Tools and Methods 13
Ioana Nascu, Richard Oberdieck, Romain Lambert, Pedro Rivotti, and Efstratios N. Pistikopoulos

2.1 Introduction 13

2.2 Sensitivity Analysis and Model Reduction 14

2.2.1 Sensitivity Analysis 14

2.2.1.1 Sobol's Sensitivity Analysis 16

2.2.1.2 High-Dimensional Model Representation 17

2.2.1.3 Group Method of Data Handling 18

2.2.1.4 GMDH-HDMR 19

2.2.2 Model Reduction 20

2.2.2.1 Linear Model Order Reduction 21

2.2.2.2 Nonlinear Model Reduction 22

2.3 Multiparametric Programming and Model Predictive Control 24

2.3.1 Dynamic Programming and Robust Control 28

2.4 Estimation Techniques 33

2.4.1 Kalman Filter 34

2.4.1.1 Time Update (Prediction Step) 34

2.4.1.2 Measurement Update (Correction Step) 34

2.4.2 Moving Horizon Estimation 34

2.5 Explicit Hybrid Control 39

2.5.1 Multiparametric Mixed-Integer Programming 40

2.5.1.1 Problem and Solution Characterization 40

2.5.1.2 Literature Review 42

2.5.1.3 A General Framework for the Solution of mp-MIQP Problems 48

2.5.1.4 Detailed Analysis of the General Framework 50

2.5.1.5 Description of an Exact Comparison Procedure 54

References 57

3 Volatile Anaesthesia 67
Alexandra Krieger, Ioana Nascu, Nicki Panoskaltsis, Athanasios Mantalaris, Michael C. Georgiadis, and Efstratios N. Pistikopoulos

3.1 Introduction 67

3.2 Physiologically Based Patient Model 69

3.2.1 Pharmacokinetics 69

3.2.1.1 Body Compartments 72

3.2.1.2 Blood Volume 73

3.2.1.3 Cardiac Output 73

3.2.1.4 Lung Volume 74

3.2.2 Pharmacodynamics 74

3.2.3 Individualized Patient Variables and Parameters 74

3.3 Model Analysis 75

3.3.1 Uncertainty Identification via Patient Variability Analysis 75

3.3.2 Global Sensitivity Analysis 77

3.3.3 Correlation Analysis and Parameter Estimation 81

3.3.4 Simulation Results 83

3.4 Control Design for Volatile Anaesthesia 86

3.4.1 State Estimation 87

3.4.1.1 Model Linearization 88

3.4.2 On-Line Parameter Estimation 90

3.4.2.1 Control and Algorithm Design 91

3.4.2.2 Testing of the On-Line Estimation Algorithm 93

3.4.3 Case Study: Controller Testing for Isourane-Based Anaesthesia 96

Conclusions 98

Appendix 99

References 100

4 Intravenous Anaesthesia 103
Ioana Nascu, Alexandra Krieger, Romain Lambert, and Efstratios N. Pistikopoulos

4.1 A Multiparametric Model-based Approach to Intravenous Anaesthesia 103

4.1.1 Introduction 103

4.1.2 Patient Model 104

4.1.3 Sensitivit