CBM361 Physiological Modelling Syllabus:

CBM361 Physiological Modelling Syllabus – Anna University Regulation 2021

OBJECTIVES:

The student should be made to:
 To explain the application of Physiological models and vital organs.
 To Formulate the methods and techniques for analysis and synthesis of dynamic models
 To describe the dynamic models, simulate and visualize, dynamic responses of physiological models using software.
 To describe nonlinear models of physiological systems
 To compute the Simulation of physiological systems

UNIT I INTRODUCTION TO PHYSIOLOGICAL MODELING

Approaches to modelling: The technique of mathematical modelling, classification of models, characteristics of models. Time invariant and time varying systems for physiological modelling. Introduction to physiology (homeostasis, cell biology) Modelling physical systems, linear models of physiological systems, the Laplace transform, Transfer functions and block diagram analysis Physiology.

UNIT II MODELING OF DYNAMIC PHYSIOLOGICAL SYSTEM

Dynamic systems and their control, modelling and block diagrams, the pupil control systems(Human Eye), general structure of control systems, the dynamic response characteristics of the pupil control system, open &close loop systems instability, automatic aperture control.

UNIT III NONLINEAR MODELS OF PHYSIOLOGICAL SYSTEMS

Nonparametric Modelling-Volterra Models. Wiener Models. Efficient Volterra Kernel Estimation. Parametric Modelling – Basic Parametric Model Forms and Estimation Procedures- Volterra Kernels of Nonlinear Differential Equations. Discrete-Time Volterra Kernels of NARMAX Models.

UNIT IV COMPARTMENTENTAL PHYSIOLOGICAL MODEL

Modeling the body as compartments, behaviour in simple compartmental system, pharmacokinetic model, and multi compartmental system. Physiological modelling: Electrical analogy of blood vessels, model of systematic blood flow and model of coronary circulation. Mathematical modelling of the system: Thermo regulation, Thermoregulation of cold bloodedness& warm bloodedness, the anatomy of thermo regulation, lumping & partial differential equations, heat transfer examples, mathematical model of the controlled process of the body.

UNIT V SIMULATION OF PHYSIOLOGICALSYSTEMS

Simulation of physiological systems using Open CV / MATLAB software. Biological receptors: – Introduction, receptor characteristics, transfer function models of receptors, receptor and perceived intensity. Neuromuscular model, Renal System, Drug Delivery Model.

COURSE OUTCOMES:

On successful completion of this course, the student will be able to
CO1: Explain the application of Physiological models
CO2: Describe the methods and techniques for analysis and synthesis of Linear and dynamic system
CO3: Develop differential equations to describe the compartmental physiological model
CO4: Describe Nonlinear models of physiological systems
CO5: Illustrate the Simulation of physiological systems

TOTAL PERIODS:45

TEXT BOOKS

1. Michel C Khoo, “Physiological Control Systems -Analysis, simulation and estimation”, Prentice Hall of India, 2001.
2. Marmarelis, “Nonlinear Dynamic Modeling of Physiological Systems”, Wiley-IEEE Press,2004.

REFERENCES

1. Benjamin C Kuo, “Automatic control systems”, Tenth Edition, McGraw-Hill Education, 2017.
2. MinruiFei, Shiwei Ma, Xin Li, Xin Sun, Li Jia and Zhou Su,“Advanced Computational Methods in Life System Modeling and Simulation”, Springer,2017
3. DavidTWestwick, Robert E. Kearney, Identification of Nonlinear PhysiologicalSystems, Wiley-IEEE Press, 2003.