Modeling and Parameter Estimation in Respiratory Control

Modeling and Parameter Estimation in Respiratory Control
Author: M.C.K. Khoo
Publisher: Springer Science & Business Media
Total Pages: 204
Release: 2012-12-06
Genre: Science
ISBN: 1461306213

Experimentalists tend to revel in the complexity and multidimensionality of biological processes. Modelers, on the other hand, generally look towards parsimony as a guiding prin ciple in their approach to understanding physiological systems. It is therefore not surprising that a substantial degree of miscommunication and misunderstanding still exists between the two groups of truth-seekers. However, there have been numerous instances in physiology where the marriage of mathematical modeling and experimentation has led to powerful in sights into the mechanisms being studied. Respiratory control represents one area in which this kind of cross-pollination has proven particularly fruitful. While earlier modeling ef forts were directed primarily at the chemical control of ventilation, more recent studies have extended the scope of modeling to include the neural and mechanical aspects pertinent to respiratory control. As well, there has been a greater awareness of the need to incorpo rate interactions with other organ systems. Nevertheless, it is necessary from time to time to remind experimentalists of the existence of modelers, and vice versa. The 4th Annual Biomedical Simulations Resource (BMSR) Short Course was held in Marina Del Rey on May 21-22,1989, to acquaint respiratory physiologists and clinical researchers with state-of-the art methodologies in mathematical modeling, experiment design and data analysis, as well as to provide an opportunity for experimentalists to challenge modelers with their more recent findings.

Mathematical Modeling and Validation in Physiology

Mathematical Modeling and Validation in Physiology
Author: Jerry J. Batzel
Publisher: Springer
Total Pages: 270
Release: 2012-12-14
Genre: Mathematics
ISBN: 3642328822

This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiological systems generally. Theoretical points include model design, model complexity and validation in the light of available data, as well as control theory approaches to feedback delay and Kalman filter applications to parameter identification. State of the art approaches using parameter sensitivity are discussed for enhancing model identifiability through joint analysis of model structure and data. Practical examples illustrate model development at various levels of complexity based on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem of patient-specific model adaptation in the clinical setting, where data is typically limited.

Modelling the Respiratory Control System in Human Subjects for Exercise Conditions

Modelling the Respiratory Control System in Human Subjects for Exercise Conditions
Author: Husni Thamrin
Publisher:
Total Pages:
Release: 2008
Genre:
ISBN:

A model is a very helpful tool to describe, interpret and explain the behaviour of a highly complex system such as the human respiratory system. The research work presented in this thesis is concerned with the development of a nonlinear dynamic simulation model of the respiratory control system in human subjects for exercise conditions. Modelling the respiratory system is not a new activity but the development of a general model that takes into account the conditions above the lactate threshold has not been attempted previously because of a number of problems that arise for these particular operating conditions. Many variables become increasingly non linear in terms of their temporal pattern and magnitudes. Also metabolic acidosis, which is negligible below the lactate threshold, cannot be neglected for exercise conditions that take the system above the lactate threshold. The current work has established a general model that applies for exercise conditions below and above the lactate threshold. The model takes into account the factor of metabolic acidosis, which is calculated by estimating the production and consumption of lactate in body tissues and its kinetics in the blood. The slow component increase of muscle energetics and O2 extraction is also considered. Well established algorithms are employed to estimate the O2 and CO2 dissociation curves and the Siggaard-Andersen nomogram is used to calculate blood pH. The model is able to reproduce the main features of the system response in terms of ventilation and pulmonary gas exchange during moderate and heavy exercise. It is also able to reproduce the characteristics of several blood quantities including arterial gas partial pressures, arterial O2 and CO2 concentrations, mixed-venous and arterial pH and also lactate and bicarbonate concentrations. Potential applications of the model include describing the contribution of haemoglobin to performance in exercise conditions, estimating how cardiac output should change during heavy exercise, describing the effect of acidosis, and describing the changes of body CO2 stores during exercise. Assumptions, limitations and procedures for testing and evaluating the model are discussed, along with suggestions for further developments that could lead to possible improvements of the model and thus to an extension of the range of problems to which the model could be applied.

Review and Critique of Some Procedures and Results in Nonlinear Estimation

Review and Critique of Some Procedures and Results in Nonlinear Estimation
Author: F. C. Johnson
Publisher:
Total Pages: 42
Release: 1970
Genre: Digital filters (Mathematics)
ISBN:

Procedures and results in nonlinear estimation are reviewed and critiqued. Both theory and applications are discussed. The theoretical work is concerned with least-squares parameter estimation and marginal maximum likelihood filtering and smoothing for discrete-time nonlinear dynamic systems. Application studies which are examined include 747 stability and control derivatives estimation from flight test data, estimation of human respiratory system parameters from test data, and Apollo orbit determination from tracking ship data. (Author).