We introduce "library based Monte Carlo" (LBMC) simulation, which performs Boltzmann sampling of molecular systems based on pre-calculated statistical libraries of molecular-fragment configurations, energies, and interactions. The library for each fragment can be Boltzmann distributed and thus account for all correlations internal to the fragment. LBMC can be applied to both atomistic and coarse-grained models, as we demonstrate in this "proof of principle" report. We first verify the approach in a toy model and in implicitly solvated poly-alanine systems. We next study five proteins, up to 309 residues in size. Based on atomistic equilibrium libraries of peptide-plane configurations, the proteins are modeled with fully atomistic backbones and simplified Gō-like interactions among residues. We show that full equilibrium sampling can be obtained in days to weeks on a single processor, suggesting that more accurate models are well within reach. For the future, LBMC provides a convenient platform for constructing adjustable or mixed-resolution models: the configurations of all atoms can be stored at no run-time cost, while an arbitrary subset of interactions is "turned on."
Regulation of the structural equilibrium of G-quadruplex-forming sequences located in the promoter regions of oncogenes by the binding of small molecules has shown potential as a new avenue for cancer chemotherapy. In this study, microcalorimetry (isothermal titration calorimetry and differential scanning calorimetry), electronic spectroscopy (ultraviolet-visible and circular dichroism), and molecular modeling were used to probe the complex interactions between a cationic porphryin mesotetra (N-methyl-4-pyridyl) porphine (TMPyP4) and the c-MYC PU 27-mer quadruplex. The stoichiometry at saturation is 4:1 mol of TMPyP4/c-MYC PU 27-mer G-quadruplex as determined by isothermal titration calorimetry, circular dichroism, and ultraviolet-visible spectroscopy. The four independent TMPyP4 binding sites fall into one of two modes. The two binding modes are different with respect to affinity, enthalpy change, and entropy change for formation of the 1:1 and 2:1, or 3:1 and 4:1 complexes. Binding of TMPyP4, at or near physiologic ionic strength ([K(+)] = 0.13 M), is described by a "two-independent-sites model." The two highest-affinity sites exhibit a K(1) of 1.6 x 10(7) M(-1) and the two lowest-affinity sites exhibit a K(2) of 4.2 x 10(5) M(-1). Dissection of the free-energy change into the enthalpy- and entropy-change contributions for the two modes is consistent with both "intercalative" and "exterior" binding mechanisms. An additional complexity is that there may be as many as six possible conformational quadruplex isomers based on the sequence. Differential scanning calorimetry experiments demonstrated two distinct melting events (T(m)1 = 74.7 degrees C and T(m)2 = 91.2 degrees C) resulting from a mixture of at least two conformers for the c-MYC PU 27-mer in solution.
Molecular models of six anthracycline antibiotics and their complexes with 32 distinct DNA octamer sequences were created and analyzed using HINT (Hydropathic INTeractions) to describe binding. The averaged binding scores were then used to calculate the free energies of binding for comparison with experimentally determined values. In parsing our results based on specific functional groups of doxorubicin, our calculations predict a free energy contribution of -3.6 +/- 1.1 kcal x mol(-1) (experimental -2.5 +/- 0.5 kcal x mol(-1)) from the groove binding daunosamine sugar. The net energetic contribution of removing the hydroxyl at position C9 is -0.7 +/- 0.7 kcal x mol(-1) (-1.1 +/- 0.5 kcal x mol(-1)). The energetic contribution of the 3' amino group in the daunosamine sugar (when replaced with a hydroxyl group) is -3.7 +/- 1.1 kcal x mol(-1) (-0.7 +/- 0.5 kcal x mol(-1)). We propose that this large discrepancy may be due to uncertainty in the exact protonation state of the amine. The energetic contribution of the hydroxyl group at C14 is +0.4 +/- 0.6 kcal x mol(-1) (-0.9 +/- 0.5 kcal x mol(-1)), largely due to unfavorable hydrophobic interactions between the hydroxyl oxygen and the methylene groups of the phosphate backbone of the DNA. Also, there appears to be considerable conformational uncertainty in this region. This computational procedure calibrates our methodology for future analyses where experimental data are unavailable.
i-Motif-forming sequences are present in or near the regulatory regions of >40% of all genes, including known oncogenes. We report here the results of a biophysical characterization and computational study of an ensemble of intramolecular i-motifs that model the polypyrimidine sequence in the human c-MYC P1 promoter. Circular dichroism results demonstrate that the mutant sequence (5'-CTT TCC TAC CCTCCC TAC CCT AA-3') can adopt multiple "i-motif-like," classical i-motif, and single-stranded structures as a function of pH. The classical i-motif structures are predominant in the pH range 4.2-5.2. The "i-motif-like" and single-stranded structures are the most significant species in solution at pH higher and lower, respectively, than that range. Differential scanning calorimetry results demonstrate an equilibrium mixture of at least three i-motif folded conformations with Tm values of 38.1, 46.6, and 49.5 degrees C at pH 5.0. The proposed ensemble of three folded conformations includes the three lowest-energy conformations obtained by computational modeling and two folded conformers that were proposed in a previous NMR study. The NMR study did not report the most stable conformer found in this study.
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