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- 1. A Monte-Carlo Simulation on Self- binding Polymers
Tianchu(Alex) Liang Lawrence University Advisor: Professor Jef
Wagner http://upload.wikimedia.org/wikipedia/commons/a/a4/Pre-mRNA-
1ysv-tubes.png
- 2. What is a polymer? Large molecule, or macromolecule.
Repeated subunits, monomers.
http://injectionmoldingonline.com/Molding101/Polymers.aspx
- 3. Why are we interested? Ubiquitous in life: Synthetic:
rubber, plastic, etc. Biological: DNA, RNA, proteins, etc. Physical
properties: Size Persistence Length Motion Self-binding(RNA,
protein) http://upload.wikimedia.org/wikipedia/commons/a/a4/
Pre-mRNA-1ysv-tubes.png
- 4. Polymer Physics Investigate physical properties Simulation:
Linking Interaction Excluded Volume Interaction Bonding Interaction
A B
- 5. Intuition on Interactions: Linking Interaction: 1 2
Exclusion Volume Interaction: 1 22 H-Bond Interaction: 21
- 6. Behavior Over Time: Time Time Radius of Gyration:
- 7. My Simulation Realistic chain: Link Interaction, Exclusion
Interaction, H-Bond. Quantify avg(Rg) Visualize-3D Behavioral
Difference Time
- 8. How To Implement? Molecular Dynamics? Force Equation of
MotionNO! Lack of Computing Power/Patience Monte-Carlo Simulation
with a Coarse-Grained model Simplified Structure Reduced
(Microscopic)Degrees of Freedom Thermal (Energy) Equilibrium
- 9. Movement of A Monomer A B Ct=t_i A Change in Energy: Linking
Interaction Exclusion Volume Interaction H-Bond Interaction
- 10. Average of Rg & Monte-Carlo Method A, a quantity in a
thermal system:
- 11. Implementation A B C A t=t_i Random Movement Generator
Energy Evaluator Stay put Move to new position
- 12. Quantitative Results
- 13. Visualization Only Linking Interaction Linking Interaction
& Exclusion Volume Interaction Linking Interaction &
Exclusion Volume Interaction & H- Bond Interaction
- 14. Conclusion The simulation is functional: Produced sensible
data for visualization Did not deliver good calculation for the
average radius of gyration. Future Work: Further tuning of
parameters in the program Take away: Computers are awesome
Simulating complicated system: efficient, informative, fun!
- 15. Acknowledgements Project Advisor: Professor Jef Wagner
Lawrence University