Department of Computational and Systems Biology, University of Pittsburgh School of Medicine, 3059 BST3, Pittsburgh, Pennsylvania 15260, USA.
J Chem Phys. 2011 Jan 14;134(2):025104. doi: 10.1063/1.3521267.
The eight-residue surface loop, 45-52 (Ser, Ala, Val, Gly, Asn, Ala, Glu, Ser), of the homotetrameric protein streptavidin has a "closed" conformation in the streptavidin-biotin complex, where the corresponding binding affinity is one of the strongest found in nature (ΔG ∼ -18 kcal∕mol). However, in most of the crystal structures of apo (unbound) streptavidin, the loop conformation is "open" and typically exhibits partial disorder and high B-factors. Thus, it is plausible to assume that the loop structure is changed from open to closed upon binding of biotin, and the corresponding difference in free energy, ΔF = F(open) - F(closed) in the unbound protein, should therefore be considered in the total absolute free energy of binding. ΔF (which has generally been neglected) is calculated here using our "hypothetical scanning molecular-dynamics" (HSMD) method. We use a protein model in which only the atoms closest to the loop are considered (the "template") and they are fixed in the x-ray coordinates of the free protein; the x-ray conformation of the closed loop is attached to the same (unbound) template and both systems are capped with the same sphere of TIP3P water. Using the force field of the assisted model building with energy refinement (AMBER), we carry out two separate MD simulations (at temperature T = 300 K), starting from the open and closed conformations, where only the atoms of the loop and water are allowed to move (the template-water and template-loop interactions are considered). The absolute F(open) and F(closed) (of loop + water) are calculated from these trajectories, where the loop and water contributions are obtained by HSMD and a thermodynamic integration (TI) process, respectively. The combined HSMD-TI procedure leads to total (loop + water) ΔF = -27.1 ± 2.0 kcal∕mol, where the entropy TΔS constitutes 34% of ΔF, meaning that the effect of S is significant and should not be ignored. Also, ΔS is positive, in accord with the high flexibility of the open loop observed in crystal structures, while the energy ΔE is unexpectedly negative, thus also adding to the stability of the open loop. The loop and the 250 capped water molecules are the largest system studied thus far, which constitutes a test for the efficiency of HSMD-TI; this efficiency and technical issues related to the implementation of the method are also discussed. Finally, the result for ΔF is a prediction that will be considered in the calculation of the absolute free energy of binding of biotin to streptavidin, which constitutes our next project.
四聚体蛋白亲和素的 8 残基表面环 45-52(丝氨酸、丙氨酸、缬氨酸、甘氨酸、天冬酰胺、丙氨酸、谷氨酸、丝氨酸)在亲和素-生物素复合物中呈“封闭”构象,其相应的结合亲和力是自然界中最强的亲和力之一(ΔG∼-18 kcal/mol)。然而,在大多数无(未结合)亲和素的晶体结构中,环构象为“开放”,通常表现出部分无序和高 B 因子。因此,可以假设在生物素结合时,环结构从开放转变为封闭,相应的自由能差异ΔF = F(open)-F(closed)在未结合的蛋白质中应该被考虑。ΔF(通常被忽略)是使用我们的“假设扫描分子动力学”(HSMD)方法计算的。我们使用一个仅考虑最接近环的原子的蛋白质模型(“模板”),并将其固定在游离蛋白质的 X 射线坐标中;封闭环的 X 射线构象附着在相同的(未结合)模板上,两个系统都用 TIP3P 水的相同球体封闭。使用辅助模型构建与能量细化(AMBER)的力场,我们从开放和封闭构象分别进行两个独立的 MD 模拟(温度 T = 300 K),其中仅允许环和水的原子移动(模板-水和模板-环相互作用被考虑)。从这些轨迹中计算出绝对 F(open)和 F(closed)(环+水),其中环和水的贡献分别通过 HSMD 和热力学积分(TI)过程获得。HSMD-TI 联合程序导致总(环+水)ΔF = -27.1 ± 2.0 kcal/mol,其中熵 TΔS 构成ΔF 的 34%,这意味着 S 的影响是显著的,不能忽略。此外,ΔS 为正,与晶体结构中观察到的开放环的高灵活性一致,而能量ΔE 出乎意料地为负,这也增加了开放环的稳定性。环和 250 个封闭的水分子是迄今为止研究过的最大系统,这是对 HSMD-TI 效率的测试;还讨论了该方法的效率和与实施相关的技术问题。最后,ΔF 的结果是一个预测,将在计算生物素与亲和素的绝对结合自由能时被考虑,这是我们的下一个项目。