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Simulation of reaction diffusion processes over biologically relevant size and time scales using multi-GPU

Michael J Hallock1, John E Stone2, Elijah Roberts3

  • 1School of Chemical Sciences, University of Illinois at Urbana-Champaign, 600 S. Mathews Ave., Urbana, IL 61801.

Parallel Computing
|June 3, 2014
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Summary

This study introduces a new multi-GPU parallel method for simulating cellular processes using the reaction-diffusion master equation (RDME). This approach enhances computational efficiency for complex biological simulations on modern hardware.

Keywords:
GPU ComputingGillespie algorithmbiological cellsdistributed memory parallel computingreaction-diffusion master equationstochastic simulation

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Area of Science:

  • Computational Biology
  • Biophysics
  • Biochemistry

Background:

  • Simulating in vivo cellular processes using the reaction-diffusion master equation (RDME) is computationally intensive.
  • Previous single-GPU implementations were limited to small systems or short timescales.
  • Simulating larger eukaryotic systems or long timescales on single GPUs is impractical due to memory and processing constraints.

Purpose of the Study:

  • To develop a scalable multi-GPU parallel implementation of the MPD-RDME method.
  • To overcome the memory and computational limitations of single-GPU simulations for complex cellular processes.
  • To enable efficient simulation of larger biological systems and longer time scales.

Main Methods:

  • Developed a multi-GPU parallel implementation of the MPD-RDME method using spatial decomposition.
  • Incorporated dynamic load balancing to accommodate GPUs with varying performance and memory.
  • Utilized CUDA for high-performance peer-to-peer GPU memory transfers.

Main Results:

  • Demonstrated parallel efficiency and performance gains with increasing system size, particle counts, and reaction numbers.
  • Successfully simulated the Min protein system in E. coli using the multi-GPU approach.
  • Evaluated algorithm performance on state-of-the-art GPU devices.

Conclusions:

  • The new multi-GPU implementation significantly enhances the computational feasibility of RDME simulations.
  • The spatial decomposition and dynamic load balancing approach is effective for heterogeneous GPU environments.
  • This method can be generalized to other lattice-based computational problems in biology and beyond.