Autore	West Bruce J
Edizione	[2nd ed.]
Pubbl/distr/stampa	Singapore ; ; London, : World Scientific, 2013
Descrizione fisica	1 online resource (345 p.)
Disciplina	610.151539 612.0154 612/.0154
Collana	Studies of nonlinear phenomena in life sciences
Soggetto topico	Chaotic behavior in systems Fractals Medicine - Mathematical models Physiology - Mathematical models
Soggetto genere / forma	Electronic books.
ISBN	1-299-28117-6 981-4417-80-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Contents; Preface; 1 Introduction; 1.1 What is Linearity?; 1.2 Why Uncertainty?; 1.3 How Does Nonlinearity Change Our View?; 1.4 Complex Networks; 1.5 Summary and a Look Forward; 2 Physiology in Fractal Dimensions; 2.1 Complexity and the Lung; 2.2 The Principle of Similitude; 2.2.1 Fractals, Self-similarity and Renormalization; 2.2.2 Fractal Lungs; 2.2.3 Why fractal transport?; 2.3 Allometry Relations; 2.3.1 Empirical Allometry; 2.3.2 WBE model; 2.3.3 WW model; 2.4 Fractal Signals; 2.4.1 Spectral decomposition; 2.5 Summary; 3 Dynamics in Fractal Dimensions; 3.1 Nonlinear Bio-oscillators 3.1.1 Super Central Pattern Generator (SCPG) model of gait3.1.2 The cardiac oscillator; 3.1.3 Strange attractors (deterministic randomness); 3.2 Nonlinear Bio-mapping; 3.2.1 One-dimensional maps; 3.2.2 Two-dimensional maps; 3.2.3 The Lyapunov exponent; 3.3 Measures of Strange Attractors; 3.3.1 Correlational dimension; 3.3.2 Attractor reconstruction from data; 3.3.3 Chaotic attractors and false alarms; 3.4 Summary and perspective; 4 Statistics in Fractal Dimensions; 4.1 Complexity and Unpredictability; 4.1.1 Scaling Measures; 4.2 Fractal Stochastic Dynamics; 4.2.1 Simple Random Walks 4.2.2 Fractional random walks and scaling4.2.3 Physical/physiological models; 4.3 Physiologic Time Series; 4.3.1 Heart Rate Variability (HRV); 4.3.2 Breath rate variability (BRV); 4.3.3 Stride rate variability (SRV); 4.4 Summary and Viewpoint; 5 Applications of Chaotic Attractors; 5.1 The Dynamics of Epidemics; 5.2 Chaotic Neurons; 5.3 Chemical Chaos; 5.4 Cardiac Chaos; 5.5 EEG Data and Brain Dynamics; 5.5.1 Normal activity; 5.5.2 Epilepsy: reducing the dimension; 5.5.3 Task-related scaling; 5.6 Retrospective; 6 Physiological Networks: The Final Chapter?; 6.1 Introduction to Complex Networks 6.1.1 A little history6.1.2 Inverse power laws; 6.2 The Decision Making Model (DMM); 6.2.1 Topological Complexity; 6.2.2 Temporal Complexity; 6.3 Criticality; 6.3.1 Neuronal Avalanches; 6.3.2 Multiple Organ Dysfunction Syndrome (MODS); 6.4 Finale; References; Index
Record Nr.	UNINA-9910465413703321

Autore	Westwick David T.
Pubbl/distr/stampa	[Piscataway, New Jersey?] : , : IEEE Press, , c2003
Descrizione fisica	1 PDF (xii, 261 pages) : illustrations
Disciplina	612/.01/5118
Altri autori (Persone)	KearneyRobert E. <1947->
Collana	IEEE Press series on biomedical engineering
Soggetto topico	Physiology - Mathematical models Nonlinear systems Statistics as Topic Nonlinear Dynamics Computer Simulation Models, Biological Physiological Phenomena Health Care Evaluation Mechanisms Computing Methodologies Models, Theoretical Phenomena and Processes Epidemiologic Methods Mathematics Investigative Techniques Natural Science Disciplines Public Health Information Science Quality of Health Care Disciplines and Occupations Analytical, Diagnostic and Therapeutic Techniques and Equipment Health Care Quality, Access, and Evaluation Environment and Public Health Health Care Physiology Human Anatomy & Physiology Health & Biological Sciences
Soggetto non controllato	Systems Engineering
ISBN	1-280-55705-2 9786610557059 0-471-72295-2 0-471-72296-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	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 Notesand 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.
Record Nr.	UNINA-9910145766603321

Autore	Cobelli, Claudio
Pubbl/distr/stampa	Bologna : Patron, c2012
Descrizione fisica	332 p. : ill. ; 24 cm
Disciplina	610.28 612.0015118
Altri autori (Persone)	Facchinetti, Andrea Dalla Man, Chiara Carson, Ewartauthor
Collana	Collana di Ingegneria biomedica ; 20
Soggetto topico	Physiology - Mathematical models Medicine - Mathematical models
ISBN	9788855531580
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	ita
Record Nr.	UNISALENTO-991004004589707536

Autore	Carson Ewart
Edizione	[Second edition.]
Pubbl/distr/stampa	London : , : Elsevier, , 2014
Descrizione fisica	1 online resource (589 p.)
Disciplina	589
Altri autori (Persone)	CobelliClaudio
Collana	Elsevier insights
Soggetto topico	Physiology - Mathematical models Medicine - Mathematical models
Soggetto genere / forma	Electronic books.
ISBN	0-12-409525-9
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Front Cover; Modelling Methodology for Physiology and Medicine; Copyright Page; Contents; Preface; Preface to the Second Edition; List of Contributors; 1 An Introduction to Modelling Methodology; 1.1 Introduction; 1.2 The Need for Models; 1.2.1 Physiological Complexity; 1.2.2 Models and Their Purposes; 1.3 Approaches to Modelling; 1.3.1 Modelling the Data; 1.3.2 Modelling the System; 1.4 Simulation; 1.5 Model Identification; 1.5.1 A Framework for Identification; 1.5.2 Identification of Parametric Models; 1.5.3 Identification of Nonparametric Models; 1.6 Model Validation; Reference 2 Control in Physiology and Medicine; 2.1 Introduction; 2.2 Modelling for Control System Design and Analysis; 2.2.1 Sets of Ordinary Differential Equations; 2.2.2 Linear State Space Models; 2.2.3 Transfer Functions; 2.2.3.1 Pole-Zero Cancellation; 2.2.3.2 Right-Half-Plane Zeros and Time Delays; 2.2.4 Discrete-Time State Space Models; 2.2.5 Discrete Auto-Regressive Models; 2.2.6 Step and Impulse Response Models; 2.2.7 System Identification; 2.3 Block Diagram Analysis; 2.3.1 Continuous-Time Block Diagram Analysis; 2.3.2 Discrete-Time Block Diagram Analysis 2.4 Proportional-Integral-Derivative Control; 2.4.1 PID Tuning Techniques; 2.4.1.1 Ziegler-Nichols Closed-Loop Oscillations; 2.4.1.2 Frequency Response; 2.4.1.3 Cohen-Coon; 2.4.1.4 Internal Model Control-Based PID; 2.4.1.5 Ad hoc; 2.4.2 Discrete-Time PID; 2.5 Model Predictive Control; 2.6 Other Control Algorithms; 2.6.1 Fuzzy Logic; 2.6.2 Expert Systems; 2.6.3 Artificial Neural Networks; 2.6.4 On-Off; 2.7 Application Examples; 2.7.1 Type 1 Diabetes: Blood Glucose Control; 2.7.1.1 Models for Simulation; 2.7.1.2 Models for Control; 2.7.1.3 Control; 2.7.1.3.1 On-Off 2.7.1.3.2 Proportional-Integral-Derivative (PID); 2.7.1.3.3 Model Predictive Control (MPC); 2.7.1.3.4 Fuzzy Logic; 2.7.2 Intensive Care Unit Blood Glucose Control; 2.7.2.1 Models; 2.7.2.2 Control; 2.7.3 Blood Pressure Control Using Continuous Drug Infusion; 2.7.3.1 Models; 2.7.3.2 Control; 2.7.4 Control of Anesthesia and Sedation; 2.7.4.1 Models; 2.7.4.2 Open-Loop Control; 2.7.4.3 Closed-Loop Control; 2.8 Summary; References; 3 Deconvolution; 3.1 Problem Statement; 3.2 Difficulty of the Deconvolution Problem; 3.2.1 Dealing with Physiological Systems 3.2.2 A Classification of the Deconvolution Approaches; 3.3 The Regularization Method; 3.3.1 Deterministic Viewpoint; 3.3.1.1 The Choice of the Regularization Parameter; 3.3.1.2 The Virtual Grid; 3.3.1.3 Assessment of Confidence Limits; 3.3.2 Stochastic Viewpoint; 3.3.2.1 Confidence Limits; 3.3.2.2 Statistically Based Choice of the Regularization Parameter; 3.3.3 Numerical Aspects; 3.3.4 Constrained Deconvolution; 3.4 Other Deconvolution Methods; 3.5 Conclusions; References; 4 Structural Identifiability of Biological and Physiological Systems; 4.1 Introduction; 4.2 Background and Definitions 4.2.1 The System
Record Nr.	UNINA-9910459154003321

Autore	Marmarelis Vasilis Z.
Pubbl/distr/stampa	Hoboken, New Jersey : , : Wiley-Interscience, , c2004
Descrizione fisica	1 PDF (xvi, 541 pages) : illustrations
Disciplina	571/.01/5118 571'.015118
Collana	IEEE Press series on biomedical engineering
Soggetto topico	Physiology - Mathematical models Nonlinear theories Mathematics Models, Theoretical Biological Science Disciplines Investigative Techniques Natural Science Disciplines Disciplines and Occupations Analytical, Diagnostic and Therapeutic Techniques and Equipment Nonlinear Dynamics Physiology Human Anatomy & Physiology Health & Biological Sciences
ISBN	0-471-67936-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Prologue -- 1 Introduction -- 1.1 Purpose of this Book -- 1.2 Advocated Approach -- 1.3 The Problem of System Modeling in Physiology -- 1.4 Types of Nonlinear Models of Physiological Systems -- 2 Nonparametric Modeling -- 2.1 Volterra Models -- 2.2 Wiener Models -- 2.3 Efficient Volterra Kernel Estimation -- 2.4 Analysis of Estimation Errors -- 3 Parametric Modeling -- 3.1 Basic Parametric Model Forms and Estimation Procedures -- 3.2 Volterra Kernels of Nonlinear Differential Equations -- 3.3 Discrete-Time Volterra Kernels of NARMAX Models -- 3.4 From Volterra Kernel Measurements to Parametric Models -- 3.5 Equivalence Between Continuous and Discrete Parametric Models -- 4 Modular and Connectionist Modeling -- 4.1 Modular Form of Nonparametric Models -- 4.2 Connectionist Models -- 4.3 The Laguerre-Volterra Network -- 4.4 The VWM Model -- 5 A Practitioner's Guide -- 5.1 Practical Considerations and Experimental Requirements -- 5.2 Preliminary Tests and Data Preparation -- 5.3 Model Specification and Estimation -- 5.4 Model Validation and Interpretation -- 5.5 Outline of Step-by-Step Procedure -- 6 Selected Applications -- 6.1 Neurosensory Systems -- 6.2 Cardiovascular System -- 6.3 Renal System -- 6.4 Metabolic-Endocrine System -- 7 Modeling of Multiinput/Multioutput Systems -- 7.1 The Two-Input Case -- 7.2 Applications of Two-Input Modeling to Physiological Systems -- 7.3 The Multiinput Case -- 7.4 Spatiotemporal and Spectrotemporal Modeling -- 8 Modeling of Neuronal Systems -- 8.1 A General Model of Membrane and Synaptic Dynamics -- 8.2 Functional Integration in the Single Neuron -- 8.3 Neuronal Systems with Point-Process Inputs -- 8.4 Modeling of Neuronal Ensembles -- 9 Modeling of Nonstationary Systems -- 9.1 Quasistationary and Recursive Tracking Methods -- 9.2 Kernel Expansion Method -- 9.3 Network-Based Methods -- 9.4 Applications to Nonstationary Physiological Systems -- 10 Modeling of Closed-Loop Systems -- 10.1 Autoregressive Form of Closed-Loop Model -- 10.2 Network Model Form of Closed-Loop Systems. Appendix I: Function Expansions -- Appendix II: Gaussian White Noise -- Appendix III: Construction of the Wiener Series -- Appendix IV: Stationarity, Ergodicity, and Autocorrelation Functions of Random Processes -- References -- Index.
Record Nr.	UNINA-9910133840503321