GATE Biomedical Engineering Syllabus 2027 OUT: Download PDF, Pattern, PYQs

Linear Algebra

Matrix algebra, systems of linear equations, Eigenvalues and Eigenvectors.

Calculus

Mean value theorems, theorems of integral calculus, partial derivatives, maxima and minima, multiple integrals, Fourier series, vector identities, line, surface and volume integrals, Stokes, Gauss and Green's theorems

Differential Equations

First order linear and nonlinear differential equations, higher order linear differential
equations with constant coefficients, method of separation of variables, Cauchy's and Euler's equations, initial and boundary value problems, and solution of partial differential equations

Analysis of Complex Variables

Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and
Laurent's series, residue theorem.

Probability and Statistics

Sampling theorems, conditional probability, mean, median, mode and standard
deviation, random variables, discrete and continuous distributions: normal, Poisson and binomial distributions. Tests of Significance, statistical power analysis, and sample size estimation. Linear Regression and correlation analysis.

Numerical Methods

 Matrix inversion, numerical solutions of nonlinear algebraic equations, iterative methods
for solving differential equations, numerical integration

Electrical Circuits

Voltage and current sources - independent, dependent, ideal and practical; v-i relationships of resistor, inductor and capacitor; transient analysis of RLC circuits with dc excitation; Kirchoff’s laws, superposition, Thevenin, Norton, maximum power transfer and reciprocity theorems; Peak, average and rms values of ac quantities;
apparent, active and reactive powers; phasor analysis, impedance and admittance; series and parallel resonance, realization of basic filters with R, L and C elements, Bode plot.

Signals and Systems

Continuous and Discrete Signal and Systems - Periodic, a periodic and impulse signals; Sampling theorem; Laplace and Fourier transforms; impulse response of systems; transfer function, frequency response of first and second order linear time invariant systems, convolution, correlation. Discrete time systems - impulse response,
frequency response, DFT, Z - transform; basics of IIR and FIR filter.

Analog and Digital Electronics

Basic characteristics and applications of diode, BJT and MOSFET; Characteristics and applications of operational amplifiers - difference amplifier, adder, subtractor, integrator, differentiator, instrumentation amplifier, buffer, filters and waveform generators. Number systems, Boolean algebra; combinational logic circuits - arithmetic circuits, comparators, Schmitt trigger, encoder/decoder, MUX/DEMUX, multi-vibrators; Principles of ADC and DAC; Microprocessor- architecture, interfacing memory and input- output devices

Measurements and Control Systems

SI units, systematic and random errors in measurement, expression of uncertainty - accuracy and precision index, propagation of errors; PMMC, MI and dynamometer type instruments; DC potentiometer; bridges for measurement of R, L and C, Q-meter. Basics of control system - transfer function.

Sensors and Bioinstrumentation

Sensors - resistive, capacitive, inductive, piezoelectric, Hall effect, electro chemical, optical; Sensor signal conditioning circuits; application of LASER in sensing and therapy. Origin of bio potentials and their measurement techniques - ECG, EEG, EMG, ERG, EOG, GSR, PCG, Principles of measuring blood pressure, body temperature,
volume and flow in arteries, veins and tissues, respiratory measurements and cardiac output measurement. Operating principle of medical equipment-sphygmomanometer, ventilator, cardiac pacemaker, defibrillator, pulse oximeter, hemodialyzer Electrical Isolation (optical and electrical), Safety and Regulatory Aspects of Biomedical
Instruments.

Mammalian Cell Biology, Human Anatomy and Physiology

Basics of cell, types of tissues and organ systems; Homeostasis; Basics of organ systems & their physiological aspects - musculoskeletal, respiratory, circulatory, excretory, endocrine, nervous, and gastro-intestinal systems

Medical Imaging Systems

Instrumentation and image formation techniques in medical imaging modalities such as X-Ray, Computed Tomography, Single Photon Emission Computed Tomography, Positron Emission Tomography, Magnetic Resonance Imaging, Ultrasound.

Biomechanics

Kinematics of muscles and joints - free-body diagrams and equilibrium, forces and stresses in joints, biomechanical analysis of joints, Gait analysis; Hard Tissues - Definition of Stress and Strain, Structure and mechanical properties of bone - cortical and cancellous bones; Soft Tissues - Structure, functions, material properties.

Biomaterials

Basic properties of biomaterials - Metallic, Ceramic, Polymeric, Carbon-based and Composite materials; Fundamental characteristics of implants - biocompatibility, bioactivity, biodegradability; Basics of tissue engineering. Biomaterial characterization techniques - Atomic Force Microscopy, Electron Microscopy, Fourier Transform Infrared Spectroscopy; Scaffold fabrication techniques– Electrospinning, 3D Printing and Bioprinting; Artificial Organs; Organoid; Organ-on-chip.

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Quantitative Aptitude

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Non-Verbal Reasoning

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Intro to Biomedical Engineering

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Fundamentals of Biomedical Engineering

G.S Sawhney