1

Basics of Mathematics and Computers

(A) Basics of Mathematics pertaining to Magnetic Resonance:

Functions, Limit and their evaluation, Matrix Algebra, Eigen values and Eigen Vectors, complex numbers, Fourier transformation. Applications of Fourier transformation

(B)Basics of Computers:

Introduction to operating systems, windows, LINUX and UNIX

2

Basics of Structural Chemistry:

Stereochemistry, peptides and protein structure, Nucleic acid structures, oligosaccharide structures

3

Basics of Statistics:

Different sampling methods, design of experiments/study protocol. Different statistical tests like parameteric and non-parametric test.

Parametric: t-test, ANOVA, correlation, linear regression, Principal component analysis, Partial least square (PLS), Discriminent functional analysis.

Non-Parametric: Mann-Whitney U-test, wilcoxon matched pair test.

4

Basics of Biochemistry and Plant Sciences

Living systems at the molecular level, cell wall, cell membrane and various organelles their functions, cell bioenergetics, intermediary metabolism of carbohydrate, lipids, proteins, amino acids, hormones and disease, water homeostasis and mineral metabolism, prokaryotes and eukaryotes bacteria and human relation.    

5

Basics of Psychology:

Brain behavior and consciousness, cognitive neuroscience; effect process and disorders and basics of social neuroscience.

6

Basics of Magnetic Resonance:

Basics of Quantum Mechanics in NMR, Spin states of various nuclei, phenomenon of resonance, Vector model, laboratory frame and rotating frame, pulses, FT NMR

7

Basics of Human Anatomy

8

(I)    Parameters in NMR of important spin ½ nuclei (¹H, ¹³C,           ¹⁹F, ¹⁵N, ³¹P etc.):

         a.  Chemical Shift

         b.  Spin-Spin Coupling

         c.  D-Coupling

         d.  Relaxation

         e.  NOE and Exchange Spectroscopy

         f.   Diffusion and Principles

         g.  Contact shift and pseudo contact shifts

(ii)     Knight shifts

1

Solid State NMR

MAS, CP, Multi-pulses homonuclear decoupling, heteronuclear decoupling experiments

2

ESR and NQR

Basic principles of spin 1 and 3/2 and applications

3

Multinuclear NMR

4

Spectral analysis including spectral editing and practice in one-dimension with examples:

Weakly and strongly coupled spectra and their analysis

Concept of phase cycling. Product operator formalism. Editing techniques like SEFT, INEPT, DEPT, concept of inverse experiments, reverse INEPT, DEPT and concept of Gradient in NMR experiments. 

5

NMR instrumentation:

Spectrometer components and their function, super conducting magnets, Probe head and their functions

6

Basic principles of two-dimensional NMR

7

Various two-dimensional NMR techniques in liquids and solids:

SECSY, COSY, Relay COSY, COSYLR, TOCSY, HMQC, HSQC, HMBC, gs-HMQC, gs HMBC, gsH2BC, gs-HSQC using adiabatic pulses, NOESY, ROESY, HSQC-TOCSY, HSQC-NOESY, SLF, CSC, REDOR, PISEMA, SAMMY etc.

8

Data Processing:

Zero filling, window functions, MEM, TPPI, States, States TPPI, linear prediction.

9

Higher dimensional NMR:

3D COSY, 3D HNCA, HNCO, HNCACO etc. and still higher dimension NMR

10

Localized MRS Principles

11

MRI Principles

Fourier imaging, k-space, Density weighted, T₁ weighted, T₂ weighted, Magnetization transfer, Diffusion weighted, MRA, perfusion imaging, DTI and their applications. CSI. Artifact in MRI and their solutions. fMRI Principles

Paper 3 Applications

S. No.

Topics

1

MRI applications

2

fMRI  applications:

EPI, BOLD, FLASH, data processing etc.

3

Liquid Crystal NMR:

Types of liquid crystals, liquid crystals as solvent, Applications to chemical and Biological Systems 

4

New developments in Magnetic Resonance

5

Solving various problems such as determination of molecular structure using actual examples:

Such as steroids, terpenoids, peptides, oligosaccharides, alkaloids etc.

6

Specialized lectures in related interdisciplinary applications

7

Metabonomics and Metabolomics biological in clinical and plant systems by NMR and their applications:

Bio-fluids, tissues, cells, extract biochemical composition. Definitions of Metabonomics, Metabolomics and associated terms like xenobiotics etc. Data analysis using statistical methods.

8

Chemical Applications

9

Localized MRS applications:

STEAM, PRESS, SE-135, multi-voxel spectroscopy, 2D – VOSY COSY

10

Nucleic acid, protein and oligosaccharides structures by NMR

11

Biological and macro molecular NMR applications

12

Applications in Polymers, Clinical and Industrial Sciences

Paper 4: Practical Examination

S. No.

Topics

1

Various aspects of NMR spectral interpretation

2

Handling of NMR spectrometer, Shimming, Tuning, Sample preparation etc.

3

Running and interpretation of various 1D, ¹H and ¹³C NMR experiments. The experiments include Decoupling, DEPT, INEPT, NoE difference, T₁ and T₂ studies etc.

4

Running of various 2D experiments followed by interpretation of the results. The experiments include COSY, DQFCOSY, NOESY, TOCSY, HSQC, HMBC etc.

5

Running of various MRI experiments followed by interpretation of the results. These experiments include T₁ and T₂ weighted imaging, Spin Echo, Gradient echo etc.

6

Statistical Analysis