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Coarse-Grained Two-State Stochastic Dynamics on a Reference Bead Configuration

  • Task ID: biology.protein_folding_go_model
  • Domain: biology
  • Subdomain: biophysics
  • Status: test
  • Tags: langevin, multi_temperature, free_energy, heat_capacity, coarse_grained, stochastic_dynamics

Public Summary

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Example B1 Prompt Excerpt

# B1: Coarse-Grained Two-State Folding of a Reference Bead Configuration (Gō Model)
## Background
You are given a small reference bead configuration — 20 points in 3D — that plays the role of a **native structure** in a **Cα-only Gō-type coarse-grained model** of a miniprotein (conceptually Trp-cage, PDB 1L2Y). The goal is to
1. run **multi-temperature Langevin dynamics** in this potential,
2. reconstruct the **free-energy landscape** along the native-contact order parameter
   $Q$ = fraction of reference contacts that are formed,
3. locate the **folding temperature** $T_f$ (specific-heat peak / $\langle Q\rangle(T)$ midpoint),
4. show that the distribution $P(Q)$ at $T_f$ is (weakly) **bimodal** and report the

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