MAT 501: Probability, Random Variables and Stochastic Processes

MAT 501 PROBABILITY, RANDOM VARIABLES AND STOCHASTIC
PROCESSES [4-0-0-4]
Probability theory: Review of Set theory; introduction to probability, axioms of
probability; joint and conditional probability; Bayes theorem.
Random Variables: The concept of a random variable (RV); continuous and
discrete RVs; probability distribution and density functions, properties; some
standard examples;
Functions of an RV, distribution and densities of functions of an RV, examples;
expected value/mean and variance; moments and characteristic functions; two
RVs: joint distribution and density functions; correlation, covariance,
orthogonality and independence; conditional distribution and density functions.
Elements of Estimation theory: Estimation of mean and variance; Chebyshev
inequality; Parameter Estimation, Properties of Estimators; Cramer-Rao bound.
Stochastic Processes: Introduction, Statistics of stochastic processes, correlation
and covariance; Stationarity; Autocorrelation, Power density spectrum, and
Wiener Khinchin Theorem; Linear Systems with stochastic inputs.
References:
1. A. Papoulis and S.U. Pillai, Probability, Random Variables and Stochastic Processes,
McGraw Hill, 2002.
2. P. Z. Peebles Jr., Probability, Random Variables and Random Signal Principles,
McGraw Hill International Edition, 2001, Singapore.
BME 501
ANATOMY AND PHYSIOLOGY [4-0-0-4]
PART-A ANATOMY
Cell and its constituents, Basic Tissues of Body (General), Muscular Tissue
(detail), Major Muscles of the Body, Nervous Tissue, Brain, Spinal Cord,
Meninges, PNS, Bone Tissue - Structure, Development and Growth, Fracture
healing, Bones of Appendicular and Axial Skeleton System in brief, Joints Classification and Types, Movement at Joints, Respiratory System - Parts and
Structure of Lungs, Urinary System - Kidney, Ureter, Bladder, Digestive
System – Parts, Special Senses - Eye, Ear, Nose and Skin, Cardio Vascular
System - Heart - Chambers, Blood supply and Nerve supply.
PART B –PHYSIOLOGY
Resting Membrane Potential and Action Potential. Synaptic Transmission
EEG, Sensory System - Receptor potential, Transducer Function, Sensory
Coding, Peripheral Nervous System - Organisation, Reflex Action and
Circuits, Skeletal Muscle-Contraction process,
Isotonic and Isometric
Contractions Lever Systems. EMG, Motor Control - Major Controlling
Systems
(Cerebella, Basal Gangila, Cerebral Cortex), Regulation of
Metabolism: major metabolic Process and their Hormonal Control, Cardio
Vascular System- Principles of Hemodynamics, Cardiac Pump, Pressure,
Resistance, Flow and Regulation, ECG Principles, Respiratory System Organisation, Functional Anatomy. Ventilation, Exchange, Transport,
Feedback Regulation, Spirometry, Principles of Artificial Respiration, Cardio
Respiratory Changes in Muscular Exercise, Renal System- Outline of Kidney
Functions, Micturation, Cystometrogram, Species Senses- Visual Functions,
Camera Principle, Refractory Errors and Correction, Perimetry.
EarMechanics of Hearing. Tests for Hearing and Audiogram. Sense of Taste
and smell.
Reference Books:
1. Vander, Shuman and Luciano, "Human Physiology" Tata McGraw Hill.
2. Schmidt,"Text book of Human Physiology".
3. R.J.Last,"Human Anatomy".
BME 503 BIO-INSTRUMENTATION [4-0-0-4]
Study of Bio-electric signals & Electrodes, Transducers, Blood pressure & Blood flow
measurements; Study of therapeutic equipments: Pacemakers, Diathermy, Haemodialyser,
Lithotriptor, Anesthesia machine, Ventilator, Infusion pump, Infant Incubator; Study of Surgical
devices: ESU, LASER & Endoscope; Cardiac-assist devices: Heart lung machine &
Defibrillator; Study of Audiometer & Hearing-aids; Medical Imaging Systems:
Ultrasonography, Thermography, X-ray Image Intensifiers: Construction, Intensifying action of
screens; Introduction to Flat Panel detectors; Pulse Oximetry: Introduction, other methods to
determine oxygen saturation of blood, major parts of pulse oximetry, applications of pulse
oximetry.
Reference Books:
1. R.S.Khandpur, ”Handbook of Biomedical Instrumentation” Tata McGraw Hill,1980.
2. Leslie Cromwell, et.al., ”Bio Medical Instrumentation”PHI,1990.
3. Geddes and Baker, ”Principles of Applied Bio-Medical Instrumentation”John
Wiley,1989.
4. J.G.Webster, ”Medical Instrumentation, Application and Design” Houghton Miffin Co.
Boston.
5. R. Aston,”Principles of Biomedical Instrumentation and Measurement” Merril Purl
Co.1991.
BME 505 BIOMEDICAL SIGNAL PROCESSING [3-1-0-4]
Mathematical preliminiaries: Signals and systems,Z Transforms,
Fourier
transforms, Digital Filters, Elements of estimation theory, Power Spectrum
estimation: Introduction, Periodogram, Welch method, AR, Moving average
(MA), ARMA methods, Maximum likelywood method (MLM). Cepstrum
analysis,complex cepstrum, homomorphic filtering, Introduction to Adaptive
filtering- General structure of Adaptive filters, least mean square (LMS) adaptive
filter, Adaptive noise canceling, Improved adaptive filtering, General
characteristics of Biomedical Signals – Action potential, ECG, EMG, EEG, PCG,
ENG, ECG QRS Detection -Power spectrum of ECG, Bandpass filtering
techniques, Differentiation, template-matching, QRS detection Algorithm, STSegment analyzer.
Reference Books:
1. Arnon cohen, “Biomedical Signal Processing” Vol 1& 2, CRC Press 1986.
2. Willis J Tompkins, “ Biomedical Digital signal Processing” Prentice Hall India ltd ,
2001.
3. Metin Akay, “Biomedical Signal Processing” Academic Press.
4. Rangaraj M Rangayyan, “Biomedical Signal Analysis – A case study”
John Wiley and Sons.
5. A. V. Oppenheim and R. W.Schafer, Digital Signal processing, Prentice Hall India Ltd,
1991.
BME 507 BIO-MECHANICS & BIO-DYNAMICS [4-0-0-4]
Introduction to biomechanics, Kinematic concepts for analyzing human motion, kinetic concepts
for analyzing human motion, Linear and Angular Kinematics of human movement, Linear and
Angular Kinetics of human movement. Application of Biomechanics to Neuromuscular fitnessAspects of fitness, Resistance devices used in training, Strength, Muscular power and
Endurance, Flexibility. Application of Aerodynamics in Sports- Aerodynamic drag force,
Effects of drag on the body and objects in sports, Aerodynamic Lift force, Effects of Lift on
projected objects and the body, Lift force produced by Spin: The Magnus effect. Application of
Hydrodynamics in swimming- Buoyancy and Floatation, Resistance and Propulsion, Resistive
forces in swimming skills, propulsive forces in swimming skills, Swimming efficiency and
Speed. Applications of Biomechanics (Qualitative Analysis) with regard to Physical Education,
Coaching, Strength & Conditioning, Sports Medicine and Rehabilitation.
Reference books:
1. Duane Knudson, Fundamental of Biomechanics, Kluwer Academic/Plenum Publishers.
2. Ellen Kreighbaum, Katharine M Barthels, Biomechanics-A Qualitative Approach for
Studying Human Movement Macmillion Publishing Company second edition.
3. Susan J. Hall, Basic Biomechanics.
HSS 501 Research Methodology and Technical Presentation [1 0 3 2]
Mechanics of Research Methodology- Types of research, Significance of research,
Research framework, Case study method, Experimental method, Sources of data,
Data collection using questionnaire, Interviewing, and experimentation. Research
formulation- Components, selection and formulation of a research problem,
Objectives of formulation, and Criteria of a good research problem. Research
hypothesis- Criterion for hypothesis construction, Nature of hypothesis, Need for
having a working hypothesis, Characteristics and Types of hypothesis, Procedure
for hypothesis testing. Sampling Methods- Introduction to various sampling
methods and their applications. Data Analysis- Sources of data, Collection of data,
Measurement and scaling technique, and Different techniques of Data analysis.
Thesis Writing and Journal Publication-Writing thesis, Writing journal and
conference papers, IEEE and Harvard styles of referencing, Effective presentation,
Copyrights, and avoiding plagiarism.
References:
1.
Dr Ranjit Kumar, Research Methodology: A Step-by-Step Guide for Beginners, SAGE,
2005.
2. Geoffrey R. Marczyk, David DeMatteo & David Festinger, Essentials of Research
Design and Methodology, John Wiley & Sons, 2004.
3. John W. Creswel , Research Design: Qualitative, Quantitative, and Mixed Methods
Approaches, SAGE, 2004
4. Suresh C. Sinha and Anil K. Dhiman, Research Methodology (2 Vols-Set), Vedam Books,
2006.
5. C. R. Kothari, Research Methodology: Methods and Techniques, New Age International
Publisher, 2008.
6. Donald R Cooper & Pamela S Schindler, Business Research Methods, McGraw Hill
International, 2007.
7. R. Pannershelvam, Research Methodology, Prentice Hall, India, 2006
8. Manfred Max Bergman, Mixed Methods Research, SAGE Books, 2006.
9. Paul S. Gray, John B. Williamson, David A. Karp, John R. Dalphin, The Research
Imagination, Cambridge University press, 2007.
10. Cochrain & Cox, Experimental Designs, II Edn. Wiley Publishers, 2006.
BME 511 INSTRUMENTATION LAB [0-0-6-2]
Study of the characteristics of Capacitive pickup transducer, Inductive pickup
transducer, pressure cell, Strain sensor, RTD transducer, Linear Variable
Differential Transformer (LVDT), Hall effect transducer, LDR / Phototransistor
and photodiode, load cell, thermocouple, DC serve motor control, voltage to
frequency converter; Realization of a Pacemaker circuit and Instrumentation
amplifier.
Demonstration: Study of Electrocardiograph and determining the cardiac vector;
study of Audiometer and Air conduction thresholds testing; study of Blood
Pressure meter, Defibrillator, Electrosurgical unit (ESU), Phonocardiograph and to
visualize the heart sounds.
Design and implementation of circuits with biomedical applications like QRS
detector, Hearing aids, Digital thermometer etc.