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Gwangrog Lee Department of Mechanical Engineering & Materials Science, Duke University, Durham, NC, 27708. Mechanics of an atomic crank of 1,6 Linked Polysaccharides by AFM and SMD Calculations. Please look at slide notes. Adhesive interactions.
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Gwangrog Lee Department of Mechanical Engineering & Materials Science, Duke University, Durham, NC, 27708 Mechanics of an atomic crank of 1,6 Linked Polysaccharides by AFM and SMD Calculations Please look at slide notes
Polysaccharides: Pustulan (1→6-linked β-D-glucose). Single Molecule Force Spectroscopy by AFM. 1-5 Steered Molecular Dynamics simulations: NAMD and CHARMM (CSFF).6-7 Materials and Methods
AFM experiment A B AFM Head D = x= L - L F k z split f i c c laser photodiode Cantilever, spring constant, k c Micro- D z manipulator c L i L f cantilever sample 1 Strain gauge piezo Piezo D z p 2 L PC interface
SMD Simulation Force Sensor (cantilever) Potential being applied to the system:
2000 1750 1500 1250 1000 750 500 250 Worm-like chain 0 200 0 50 100 150 p Lc F Freely jointed chain with segment elasticity x
O1 1 t2 O5 O6 2 5 t3 6 3 t1 4 Pustulan b-1,6 O6-O1: Glycosidic linkage C1-O1: Glycosidic bond Atomic lever O6-C6: Aglycone bond Atomic crank t1: Dihedral angle of rotamer t2, t3 : Dihedral angle for monitoring chair-boat transition AFM recordings obtained on individual pustulan molecules of various lengths.
Table 1.Ab initio calculations of the O6-O1 distance in the rotamers of β-D-glucose using the B3LYP/6-311++G** method.
gt: w=+60 C6 O6 C5 O5 O1 gg: w=-60 tg: w=180 Pustulan ( black line ) Cellulose ( blue line ) Force-spectrograms of 20 different pustulan molecules are normalized at the common force (1400 pN) and superimposed. Definition of rotamer gt, gg, and tg rotamer of β-D- glucopyranose
5ns water-simulation and normalized force-spectrograms with a scale of monomer. gt +56° tg +167° 4.97 Å 6.27 Å 4C1gt 4C1tg Normalized Extension per Ring/Å
A comparison of pulling speeds Green: 5ns Simulation Blue: 200ns Simulation Red: 1micros Simulation Normalized Extension per Ring/Å
B Ring 5 Dihedral Angles/º C Ring 4 A comparison between force-extension curves of pustulan obtained by AFM and by SMD simulations of 10 rings for 1 micro seconds. A gt +69° tg +166° R5 4.94 6.06 gg -75° tg -174° R4 5.42 6.12 Normalized Extension per Ring/Å
A Dihedral angles B O1-O6/Å Time/ns C 5.30 Å 5.94 Å 158° -70° 368.52 ns 368.53 ns Analysis of the one microsecond SMD trajectory of ring #4 reveals thermally driven and force driven conformational transitions between gg, gt, and tg states.
6.29Å 4.93Å F=0 F=2900 pN Cellulose ( blue line ) Pustulan ( red line ) A comparison of the works undergone under stretching condition of each polymer. Insert The initial and final structures of pyranose ring in pustulan 5.7 kcal/mol
The hookean elasticity of pustulan is generated by forced gt→tg and gg→tg rotations about the C5-C6 bond. The work to rotate the atomic crank (O6-C6) about the C6-C5 bond is 5.7 kcal/mol (Wrot= Wpust- Wcell). Conclusion
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