While a particle-based DSL will facilitate rapid development by programmers, platform specific backends to OpenMM will be critical for maintaining rapid execution. We propose to develop an OpenCL platform for OpenMM. OpenCL [5] is a standard for programming in heterogeneous parallel systems that has been widely adopted by all major hardware vendors. OpenCL offers the promise of a single codebase which can run optimized on multi-core, GPU, Larrabee (for HPC), and exotic new architectures yet to be released. However, in practice, OpenCL implementations need to be optimized for particular platforms. We propose to implement just-in-time (JIT) platform specific optimizations that will recode key inner loops to be optimal for the platform chosen at run time. These JIT optimizations can be done in a combinatorial scheme, with many possible choices tested and selected empirically, allowing for optimization on platforms not yet announced.
High performance on a single multicore computer or single GPU computer is important. However, modern computational science often requires much higher performance, with scalability over thousands to millions of computers. We propose a hybrid solution. First, we propose fine-grained solutions as described in Section 1.1 to scale maximally within a given computer. However, to scale to many computers (e.g. tens of thousands), current fine-grained parallelization methods have significant limitations: they typically require extremely expensive networks and in some cases cannot scale beyond a few nodes.
Moreover, even if scalability is possible on high-speed networks, such networks are often not present in typical academic lab computer clusters or commercial environments such as pharmaceutical companies. Thus, second, we propose data-parallel schemes to use multiple nodes, each node works on data in parallel and the results are assembled using a normative theory for combining. Our primary method for data-parallel based parallelization is the application of Markov State Model (MSM) theory. MSMs have allowed for scalability to hundreds of thousands of nodes [6] (as demonstrated in the Folding@home distributed computing project [7]) and its theoretical peak scalability has been estimated to be in the millions to billions of nodes (see Figure 1.1).
We will facilitate the use of MSMs and ease their creation by developing our open source software package MSMBuilder. MSMBuilder creates MSMs using new geometric and kinetic clustering algorithms. The general flow of MSMBuilder is: (1) cluster conformations into very small states called microstates and assume the high degree of structural similarity within a state implies a kinetic similarity, (2) validate that this state decomposition is Markovian and (optionally), (3) lump the microstates into some number of macrostates based on kinetic criteria and ensure that this macrostate model is Markovian. We will create tools for analyzing and visualizing the model at both the microstate and macrostate levels.
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)
Figure 1.2. Computed binding free energies using POP-FEP versus experimentally measured binding free energies for eight FKBP ligands. The lines y=x and y=x±1.5 kcal/mol are drawn as guides. The most outlying point is associated with L12.
1.2.4 Enhance tools for Free energy calculation
Accurate free energy calculations are key for the prediction of protein-ligand binding. We will use and further improve Yank, a new code for fast and accurate prediction of free energies for protein-ligand binding. Yank was conceived by Dr. John Chodera (UC Berkeley) and Dr. Kim Branson (Vertex) while in the Pande lab, and subsequently developed in collaboration with the Pande lab and OpenMM developers. Building upon the OpenMM DSL core, we will re-engineer Yank to leverage MSMBuilder to dramatically enhance protein-ligand binding conformational sampling, building on top of the POP-FEP methods [8]. We will also add support for explicit solvent. The speed advantages from GPU acceleration will provide significant value for the molecular scale drug target dynamics DBP, where turn-around time is critical with millions of potential drug screens.
1.2.5 Support Coarse-Grain and Mesoscale simulation
As discussed below, the Mesoscale DBP on cell shape dynamics will require a combination of continuum modeling and particle-based modeling. Particle-based simulations are critical for accurate coarse-graining of the influence of molecular factors such as membrane proteins, growth machinery, and cell-wall and cell-envelope architecture. For virus-host cell interactions, a physically realistic simulation of the infection cycle requires local rearrangement of the outer membrane and associated proteins, pore formation in the cell wall, and eventual intiation of cell-wall lysis, in addition to the structure and dynamics of the viral particle itself. The use of the OpenMM DSL by the mesoscale DBP will enable the rapid introduction and testing of new classes of particle interactions (e.g. turgor pressure-mediated tension or membrane-planar limited potentials) that will lead to extensions of the DSL, in precisely the way that the DBPs should drive Core 1 activities.
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