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Exact analytical algorithm for solvent accessible surface area and derivatives in implicit solvent molecular

Xin Cao1,2, Michelle H Hummel3, Yuzhang Wang4

  • 1Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794, United States.

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dSASA offers an exact geometric method for calculating solvent accessible surface area (SASA) derivatives on GPUs. This approach accelerates molecular dynamics simulations, showing significant speedups over CPU versions.

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Area of Science:

  • Computational chemistry
  • Biophysics
  • Molecular modeling

Background:

  • Accurate calculation of solvent accessible surface area (SASA) is crucial for molecular simulations.
  • Existing methods for SASA calculation can be computationally intensive.
  • Efficient calculation of atomic derivatives is needed for molecular dynamics.

Approach:

  • dSASA (differentiable SASA) is an exact geometric method for analytical SASA and derivative calculation on GPUs.
  • Uses Delaunay tetrahedrization for efficient GPU implementation.
  • Calculates SASA using tetrahedrization and inclusion-exclusion principles.

Key Points:

  • dSASA achieves >98% accuracy compared to numerical methods for proteins and RNAs.
  • Implemented in Amber, enabling GPU-accelerated implicit solvent molecular dynamics simulations.
  • dSASA significantly outperforms LCPO for large systems, with up to 20x speedup on GPUs.

Conclusions:

  • dSASA provides an accurate and efficient method for SASA calculations and derivative computations.
  • Enables faster and more robust molecular dynamics simulations, particularly for implicit solvent models.
  • Demonstrates stable GB/SA MD simulations for mini-proteins, highlighting its applicability.