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NMR Diffusion Diffraction and Diffusion Interference from Cells
Philip Kuchel & Guilhem Pages
School of Molecular and Microbial Biosciences University of Sydney
Related posters
School of Molecular and Microbial Biosciences University of Sydney
D2 Levitz, P. Intermittent Brownian dynamics over strands
E2 Gratz, M. and Galvasos, P. Methodical aspects of 2D NMRcorrelation spectroscopy under conditions of ultra high pulsedfield gradients
E3 Veil, S., Excoffier, G., Pages, G., Ziarelli, F., Delaurant, C.,and Caldarelli, S. Combined use of pulsed gradient spin echo andhigh resolution magic angle spinning to investigate solute diffusionin the presence of chromatographic stationary phase
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Checking Stasi file!
It says here that yourknowledge is diffusingto the West!
East or West we areall illuminated by sciencedon’t you agree!?
Contents
Red cells…motivation
q-Space analysis
Flow diffraction
Octagon-star model
School of Molecular and Microbial Biosciences University of Sydney
School of Molecular and Microbial Biosciences University of Sydney
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Movie showingred blood cell membrane flickering
Echinocytesunder DIC Microscopy
…showingechinocyteto discocytereversionand backagain
0 min 4 min 16 min
56 min
Echinocytesunder DIC microscopy
Movie showing change in shape ofred blood cell
Discocytes
Spherocytes
Tracking red cell shape transformation
in packed samples over time courses of
minutes
University of Sydney
1E-5
1E-4
1E-3
0.01
0.1
1
E [q
, D] 1st diffraction minimum
pore hopping shoulder
2nd diffraction minimum
3rd diffraction minimum
q (105 x m-1) � �� �
Ht = 58%48%41%
Secondderivative
Fouriertransform
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Unbalanced bipolar pulses in STE…rapid signal acquisition
Pelta et al. (2002) MRChem 40 S147
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q
Movie showing change in shape of the q-spaceplot
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z (μm)
Movie showing change in shape of the mean celldiameter
Flow diffraction
g
sliceδz
sliceFlowa
z
xÕyÕ
z
xÕyÕ
−φ1πy
φ1 xÕyÕ
φ2 −φ1
z
π/2x ...δ
= γδgz
γδg(z + δz) = φ2 ...Δ
B0
Flow rate = 0.834 mm s-1
1.32 mm s-1
2.15 mm s-1
Since the uniform linear flow-velocity is a m s-1 then a = z/ ; and by definition q = (1/2 ) g so the change in phase angle brought about by flow is: = 2 q z = 2 q a
Hence, the normalized signal S[q, ] is proportional to, S[q, ] ∝ sin2[2 q a ]/(2 q a )2
qmin,n = n/(2 a )
a = n/(2 qmin,n )
E[q, Δ] = ρ[r0]∫∫ P[r
0 | r
0+ R, Δ] exp[i 2 π q ⋅ R] dr
0dR
P[R, Δ] = ρ[r0] P[r
0|∫ r
0 + R , Δ] dr
0
E[q, Δ] = P[R, Δ] exp[i 2 π q ⋅ R] dR∫P[R, Δ] = E[q, Δ] exp[-i 2 π q ⋅ R] dq∫
E[q, ∞] = ρ[r0] exp[i 2 π q ⋅ r
0] dr
0∫ ρ[r] exp[i 2 π q ⋅ r] dr∫E[q, ∞] = S*[q] S[q] = | S[q] |2
E[g, Δ] = ∫ρ�r� r Δ� exp�i δ g ·(r - r)� drdrγ
A model of variable packing density
q-space plot results
…octagon-star system
x
z
(b, b)
(0, a)
(a, 0)(0, 0)
Construction element for q-space signal intensityfor octagon-star model
z
x
(a/2, a/2)
(0, 0)
(0, a/2)
(a/2, 0)(b, 0)
(0, b)
Construction element for q-space signal intensityfor octagon-star model…90o rotation
Expression for q-space signal intensity from stars alone
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q-space plot from octagon-star system as Ht increases
Movie showing change in shape of the q-spaceplot-function as Ht is increased
q-space plot from stars only
q-space plot from stars only
School of Molecular and Microbial Biosciences University of Sydney
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Bill Price is my name!
Thanks to past and present students…
Grazie!
School of Molecular and Microbial Biosciences University of Sydney
Bill Bubb NMRBob Chapman NMRTom Eykyn NMRDavid Jacques DICTim Larkin MathematicaGuilhem Pages NMR & fast q-spaceDavid Regan NMR & simulationDavid Szekely DIC & Mathematica
Chris GarveyBill PricePeter Stilbs
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