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Spin-state diagramm and  I  / S  correlation spectrum of a spin ½  IS  spin system  T ransverse  R elaxation  O ptimized  S pectroscop Y ( TROSY )
T ransverse  R elaxation  O ptimized  S pectroscop Y ( TROSY ) Prof. K. Pervushin, BioNMR group , LPC, D-CHAB, ETH Zürich
An overview
Chemical shift correlations in protein backbone spin systems using TROSY: 120 kDa Aldolase
Spin-state diagramm and  I  / S  correlation spectrum of a spin ½  IS  spin system
[object Object]
Evolution of density operator for static molecule
Hamiltonian representation as product of spherical harmonics and irreducible tensors of 2 nd  rank
 
Evolution of an ensemble of spins
Spin relaxation
DD/DD interference –reducing relaxation
DD/DD interference –enhancing relaxation
Chemical Shift Anisotropy (CSA) relaxation H DD (I,S) =   I  S h/r 3  [ 2IzSz – IxSx    IySy ] H CS (I) =   I  [  1 IzHz +   2  (IxHx + IyHy)] H CS (I) = 1/3  I  [(  1 + 2   2 ) H*I + (  1 -  2 )   ( 2IzHz    IxHx    IyHy )]
DD/CSA interference –enhancing relaxation
DD/CSA interference –reducing relaxation 
CSA/CSA interference –enhancing relaxation
CSA/CSA interference –reducing relaxation
TROSY effect as function of B 0
[object Object]
Spin-state diagramm and  I  / S  correlation spectrum of a spin ½  IS  spin system
Spin-state diagramm and  I  / S  correlation spectrum of a spin ½  IS  spin system
Fundamental bounds associated with polarization/coherence transfer imposed by qunatum spin dynamics     C 1. Maximum transfer bound, U 2. Minimal spin-evolution time required for the transfer,  min 3. Suppression of spurious transfers,     Q 4. Combined use of more source operators,     C 5. Complexity of pulse sequence
Computer-based design of NMR (near) optimal experiments …  …
Computer-based design of NMR (near) optimal experiments
Use of MD simulations in the space of pulse sequence variables for  constructing of optimal NMR experiments
Statistics of computer-based design of Methyl TROSY experiments    = 1/J
Complexity  versus  efficiency of NMR experiments    = 1/J …  … n
TROSY (ST2-PT) of Pervushin et al. is  theoretically optimal (!!!)    = 1/J (minimal) b/bmax=100% n =2 Source:  1 H+ 15 N No spurious transfers
TROSY of Kay et al. is  theoretically optimal     = 1/J (minimal) b/bmax=100% n =2 Source:  1 H+ 15 N No spurious transfers
ZQ-TROSY of Pervushin et al. is  theoretically optimal     =  0.5/J  (minimal) b/bmax=100% n =1 Source:  1 H+ 15 N No spurious transfers
1 H- 15 N RDCs measurements with COCAIN TROSY
Time-, magnetization source- and transfer efficiency-optimal CoCaIn experiment: theoretically optimal pulse sequence  I z S     1/2  I  ( E  + 2 S z ) = 1/2 I    I z S        1/2 I   ( E     2 S z ) = 1/2 I      =  0.5/J  (minimal) b/bmax=100% n =1 Source:  1 H+ 15 N No spurious transfers
Time-, magnetization source- and transfer efficiency-optimal CoCaIn experiment: Spectra
RDCs in methyl groups 13 C + 1 H x  ->  1 H    1 H  
Construction of optimal NMR experiments
Measurements of  1 H- 1 H RDCs in methyl groups
[object Object]
The primate erythrocyte/immune complex clearing mechanism
Human complement receptor type 1 (CR1)
INEPT-based HSQC of 220 kDa CR1/C3b complex  2  ( 1 H) [ppm]  1  ( 15 N)  [ppm]
Differential driving of the manifolds  I  and  I    by selective rf-pulse   I z  =  I  z  +  I   z  ->   I  z     I   z  =  2 I z  S z   I  i  =  I i  (1/2 E  + S z ) I  i  =  I i  (1/2 E    S z ) I  z  I   z
Excitation profile of polychomatic pulse
Polychomatic pulse wave-form and spin trajectory
Polarization transfer using polychromatic irradiation  2  ( 1 H) [ppm]  1  ( 15 N)  [ppm] CRINEPT POLY-C
PC-SPI spectra of free CR1  and CR1/C3b complex
CR1/C3b complex CR1 22 kDa CR1/C3b complex 220 kDa

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Transverse optimization of spin relaxation in NMR