EF Hand Motifs

EF 手形图案
  • 文章类型: Journal Article
    S100蛋白的结构和功能由两个不同的钙结合EF手基序调节。在这项工作中,我们使用溶液状态NMR光谱研究了两个钙结合位点之间的协同性,并绘制了靶结合位点的变构变化图.为了解析各个钙结合事件的贡献,S100A12的变体被设计为选择性地将钙与EF-I(N63A)或EF-II(E31A)环结合,分别。对野生型蛋白及其突变体的主链化学位移的详细分析表明,钙与规范的EF-II环的结合是“封闭的”apo与“开放的”Ca2结合的构象之间构象转换的主要触发因素。蛋白质的构象。消除S100特异性EF-I环中的结合对EF-II环的钙结合亲和力和伴随的结构重排具有有限的影响。相比之下,EF-II环中结合的缺失显着减弱了EF-I环中的钙亲和力,并且该结构采用“闭合”apo样构象。实验酰胺氮(15N)弛豫率的分析(R1,R2,和15N-{1H}NOE)和分子动力学(MD)模拟表明,钙结合态相对松弛,在负责靶标识别的功能相关域(例如铰链域和C-末端残基)中诱导了皮纳秒运动。与MD模拟相结合的实验松弛研究表明,尽管EF-I环中的钙结合单独不会诱导多肽链中的显着运动,EF-I在EF-II环中结合钙的存在下调节多肽的波动。这些结果为钙结合对靶标识别的动态调节提供了新的见解,并揭示了S100A12中两个钙结合事件之间的协同作用。
    Structure and functions of S100 proteins are regulated by two distinct calcium binding EF hand motifs. In this work, we used solution-state NMR spectroscopy to investigate the cooperativity between the two calcium binding sites and map the allosteric changes at the target binding site. To parse the contribution of the individual calcium binding events, variants of S100A12 were designed to selectively bind calcium to either the EF-I (N63A) or EF-II (E31A) loop, respectively. Detailed analysis of the backbone chemical shifts for wildtype protein and its mutants indicates that calcium binding to the canonical EF-II loop is the principal trigger for the conformational switch between \'closed\' apo to the \'open\' Ca2+ -bound conformation of the protein. Elimination of binding in S100-specific EF-I loop has limited impact on the calcium binding affinity of the EF-II loop and the concomitant structural rearrangement. In contrast, deletion of binding in the EF-II loop significantly attenuates calcium affinity in the EF-I loop and the structure adopts a \'closed\' apo-like conformation. Analysis of experimental amide nitrogen (15 N) relaxation rates (R1 , R2 , and 15 N-{1 H} NOE) and molecular dynamics (MD) simulations demonstrate that the calcium bound state is relatively floppy with pico-nanosecond motions induced in functionally relevant domains responsible for target recognition such as the hinge domain and the C-terminal residues. Experimental relaxation studies combined with MD simulations show that while calcium binding in the EF-I loop alone does not induce significant motions in the polypeptide chain, EF-I regulates fluctuations in the polypeptide in the presence of bound calcium in the EF-II loop. These results offer novel insights into the dynamic regulation of target recognition by calcium binding and unravels the role of cooperativity between the two calcium binding events in S100A12.
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  • 文章类型: Journal Article
    先前的低温电子显微照片表明,骨骼肌Ca2释放通道,RyR1受EF手Ca2+结合结构域和胞质环(S2-S3环)之间的复杂相互作用调节。然而,这些相互作用的精确分子细节和相互作用的功能后果仍然难以捉摸。这里,我们采用分子动力学模拟来探索EF手-S2-S3环界面内参与氢键相互作用的特定氨基酸对。我们的模拟揭示了两个关键的相互作用:(1)K4101(EF手)与D4730(S2-S3环路)和(2)E4075,Q4078和D4079(EF手)与R4736(S2-S3环路)。为了探究这些相互作用的功能意义,我们构建了突变体RyR1cDNA,并在HEK293细胞中表达它们,用于[3H]ryanodine结合测定。我们的结果表明EF手的突变,特别是K4101E和K4101M,导致对Ca2/Mg2依赖性抑制的亲和力降低。有趣的是,K4101E突变增加了Ca2+依赖性激活的亲和力。相反,S2-S3环中的突变,D4730K和D4730N,没有显着改变Ca2/Mg2依赖性抑制的亲和力。我们之前的发现与骨骼疾病相关的RyR1突变,R4736Q和R4736W,Ca2+依赖性抑制受损,与目前的结果一致。在硅诱变分析中,与我们的功能数据一致,表明突变后氢键模式改变。一起来看,我们的研究结果强调了EF手-S2-S3环相互作用在Ca2+/Mg2+依赖性RyR1抑制中的关键作用,并提供了针对该结构域相互作用治疗骨骼肌病的潜在治疗策略的见解.
    Previous cryo-electron micrographs suggested that the skeletal muscle Ca2+ release channel, ryanodine receptor (RyR)1, is regulated by intricate interactions between the EF hand Ca2+ binding domain and the cytosolic loop (S2-S3 loop). However, the precise molecular details of these interactions and functional consequences of the interactions remain elusive. Here, we used molecular dynamics simulations to explore the specific amino acid pairs involved in hydrogen bond interactions within the EF hand-S2-S3 loop interface. Our simulations unveiled two key interactions: (1) K4101 (EF hand) with D4730 (S2-S3 loop) and (2) E4075, Q4078, and D4079 (EF hand) with R4736 (S2-S3 loop). To probe the functional significance of these interactions, we constructed mutant RyR1 complementary DNAs and expressed them in HEK293 cells for [3H]ryanodine binding assays. Our results demonstrated that mutations in the EF hand, specifically K4101E and K4101M, resulted in reduced affinities for Ca2+/Mg2+-dependent inhibitions. Interestingly, the K4101E mutation increased the affinity for Ca2+-dependent activation. Conversely, mutations in the S2-S3 loop, D4730K and D4730N, did not significantly change the affinities for Ca2+/Mg2+-dependent inhibitions. Our previous finding that skeletal disease-associated RyR1 mutations, R4736Q and R4736W, impaired Ca2+-dependent inhibition, is consistent with the current results. In silico mutagenesis analysis aligned with our functional data, indicating altered hydrogen bonding patterns upon mutations. Taken together, our findings emphasize the critical role of the EF hand-S2-S3 loop interaction in Ca2+/Mg2+-dependent inhibition of RyR1 and provide insights into potential therapeutic strategies targeting this domain interaction for the treatment of skeletal myopathies.
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  • 文章类型: Journal Article
    最近,我们证明,涉及IP3受体的激动剂刺激的Ca2信号传导通过激活penta-EFHand(PEF)蛋白凋亡相关基因2(ALG-2)和peflin来调节ER输出率。它是未知的,然而,IP3Rs和PEF蛋白是否在稳定状态下调节内质网出口率。在这里,我们通过操纵IP3R同工型表达在正常大鼠肾脏(NRK)上皮细胞中测试了这一想法。在标准生长条件下,在连续的连续细胞组中同时发生自发的胞浆Ca2振荡,产生周期性跨单层移动的细胞间Ca2波(ICW)。IP3R-3的消耗,通常是最不混杂的IP3R同工型,导致未刺激细胞中ICW的细胞参与增加。增加的自发信号足以引起增加的ALG-2和COPII包被亚基Sec31A,并减少急诊室出口(ERES)的PEFLIN定位,导致COPII客户货物VSV-G的ER到高尔基运输增加。ER到高尔基的转运增加导致VSV-G在ERES的浓度增加,并对VSV-G和散装货物的运输产生相互影响,虽然两种货物同样需要Sec31A。使用4-苯基丁酸酯(4-PBA)灭活客户货物分拣对客户和散装货物具有相反的相互影响,并且中和了ALG-2激活对运输的任何影响。这项工作扩展了我们对ALG-2机制的认识,并表明在NRK细胞中,IP3R同工型调节稳态Ca2信号,有助于确定COPII依赖性货物分选的基础分泌率和严格性。
    Recently, we demonstrated that agonist-stimulated Ca2+ signaling involving IP3 receptors modulates ER export rates through activation of the penta-EF Hand proteins apoptosis-linked gene-2 (ALG-2) and peflin. It is unknown, however, whether IP3Rs and penta-EF proteins regulate ER export rates at steady state. Here we tested this idea in normal rat kidney epithelial cells by manipulation of IP3R isoform expression. Under standard growth conditions, spontaneous cytosolic Ca2+ oscillations occurred simultaneously in successive groups of contiguous cells, generating intercellular Ca2+ waves that moved across the monolayer periodically. Depletion of IP3R-3, typically the least promiscuous IP3R isoform, caused increased cell participation in intercellular Ca2+ waves in unstimulated cells. The increased spontaneous signaling was sufficient to cause increased ALG-2 and COPII coat subunit Sec31A and decreased peflin localization at ER exit sites, resulting in increased ER-to-Golgi transport of the COPII client cargo VSV-G. The elevated ER-to-Golgi transport caused greater concentration of VSV-G at ER exit sites and had reciprocal effects on transport of VSV-G and a bulk-flow cargo, though both cargos equally required Sec31A. Inactivation of client cargo sorting using 4-phenylbutyrate had opposing reciprocal effects on client and bulk-flow cargo and neutralized any effect of ALG-2 activation on transport. This work extends our knowledge of ALG-2 mechanisms and indicates that in normal rat kidney cells, IP3R isoforms regulate homeostatic Ca2+ signaling that helps determine the basal secretion rate and stringency of COPII-dependent cargo sorting.
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  • 文章类型: Journal Article
    钙粒蛋白C通过螯合Zn(II)在人类免疫反应中发挥抗菌活性。这种生物学功能是在两个结构上不同的Ca(II)结合EF手基序的帮助下提供的,其中一个带有不寻常的氨基酸序列。这里,我们利用溶液状态NMR弛豫测量来研究钙颗粒蛋白C对Ca(II)调制的Zn(II)螯合增强的机理。使用C13/N15CPMG分散实验,我们测量了pH依赖性的主要和次要状态种群在微到毫秒时间尺度上的交换。这种构象交换仅在Ca(II)结合状态下发生,并且可以映射到位于EF-I环和串联EF手之间的接头中的残基。跨越纳米到微秒时间尺度的分子动力学(MD)模拟提供了对pH依赖性静电相互作用在EF手动力学中的作用的见解。我们的结果表明,构象的pH调节动态平衡可探索Zn(II)结合位点内的一系列“封闭”和部分“开放”侧链构型。
    Calgranulin C performs antimicrobial activity in the human immune response by sequestering Zn(II). This biological function is afforded with the aid of two structurally distinct Ca(II)-binding EF hand motifs, wherein one of which bears an unusual amino acid sequence. Here, we utilize solution state NMR relaxation measurements to investigate the mechanism of Ca(II)-modulated enhancement of Zn(II) sequestration by calgranulin C. Using C13 /N15 CPMG dispersion experiments we have measured pH-dependent major and minor state populations exchanging on micro-to-millisecond timescale. This conformational exchange takes place exclusively in the Ca(II)-bound state and can be mapped to residues located in the EF-I loop and the linker between the tandem EF hands. Molecular dynamics (MD) simulations spanning nano-to-microsecond timescale offer insights into the role of pH-dependent electrostatic interactions in EF-hand dynamics. Our results suggest a pH-regulated dynamic equilibrium of conformations that explore a range of \"closed\" and partially \"open\" sidechain configurations within the Zn(II) binding site. We propose a novel mechanism by which Ca(II) binding to a non-canonical EF loop regulates its flexibility and tunes the antimicrobial activity of calgranulin C.
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  • 文章类型: Journal Article
    EF-手Ca2+结合蛋白(CBPs),如S100蛋白(S100s)和钙调蛋白(CaM),是在增加细胞内Ca2+时发生构象变化的信号蛋白。在结合Ca2+时,S100蛋白和CaM与蛋白靶标相互作用并诱导重要的生物学反应。在不存在靶标的情况下,CaM和大多数S100s的Ca2+结合亲和力弱(CaKD>1μM)。然而,在效应蛋白结合时,这些蛋白质的Ca2+亲和力通过异向变构(CaKD<1μM)增加。由于细胞中EF手CBPs的数量和微摩尔浓度很高,在任何给定的时间,生理上需要变形金刚,允许(i)适当的Ca2稳态和(ii)严格维持Ca2-信号在狭窄的游离Ca2离子浓度动态范围内,[Ca2+]自由。在这次审查中,变构机制被合并成一个经验的“结合和功能折叠(BFF)”生理框架。在分子水平上,折叠(F),装订和折叠(BF),BFF事件包括所研究的生物分子复合物中的所有原子。BFF框架引入了两种直接的BFF类型的蛋白质(1型,一致;2型,逐步),并考虑了CBP及其效应蛋白的同源和非同源氨基酸残基如何进化以提供Ca2的变构紧缩,并同时确定如何形成特异性和相对混杂的CBP-靶复合物,因为两者都是适当的细胞功能所必需的。
    EF-hand Ca2+-binding proteins (CBPs), such as S100 proteins (S100s) and calmodulin (CaM), are signaling proteins that undergo conformational changes upon increasing intracellular Ca2+. Upon binding Ca2+, S100 proteins and CaM interact with protein targets and induce important biological responses. The Ca2+-binding affinity of CaM and most S100s in the absence of target is weak (CaKD > 1 μM). However, upon effector protein binding, the Ca2+ affinity of these proteins increases via heterotropic allostery (CaKD < 1 μM). Because of the high number and micromolar concentrations of EF-hand CBPs in a cell, at any given time, allostery is required physiologically, allowing for (i) proper Ca2+ homeostasis and (ii) strict maintenance of Ca2+-signaling within a narrow dynamic range of free Ca2+ ion concentrations, [Ca2+]free. In this review, mechanisms of allostery are coalesced into an empirical \"binding and functional folding (BFF)\" physiological framework. At the molecular level, folding (F), binding and folding (BF), and BFF events include all atoms in the biomolecular complex under study. The BFF framework is introduced with two straightforward BFF types for proteins (type 1, concerted; type 2, stepwise) and considers how homologous and nonhomologous amino acid residues of CBPs and their effector protein(s) evolved to provide allosteric tightening of Ca2+ and simultaneously determine how specific and relatively promiscuous CBP-target complexes form as both are needed for proper cellular function.
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  • 文章类型: Journal Article
    钙(Ca2+)是众所周知的真核生物的第二信使,其中Ca2+信号控制维持生命的细胞过程。尽管细菌产生Ca2+信号所需的成分,对细菌Ca2+信号传导的机制知之甚少。以前,我们已经确定了一个推定的Ca2+结合蛋白EfhP(PA4107)具有两个典型的EF手基序,并报道了EfhP介导Ca2+调节铜绿假单胞菌中毒力因子的产生和感染性,引起威胁生命的感染的人类病原体。这里,我们显示EfhP以13.7μM亲和力选择性结合Ca2+,并且在每个或两个EF手基序内的+X和-Z位置处的突变消除了Ca2结合。我们还表明,EfhP的疏水性以Ca2+依赖的方式增加,然而,在突变的蛋白质中没有检测到这种反应。N-NMR显示EfhP中Ca2+依赖性化学位移,证实Ca2+结合引发蛋白质中的结构重排。efhP的缺失损害了巨噬细胞中铜绿假单胞菌的存活和体内毒力。禁用EfhPCa2结合会在体外消除Ca2对绿脓苷产生的诱导。这些数据证实了EfhP选择性结合Ca2+,这触发了铜绿假单胞菌毒力的Ca2+调节所需的结构变化,从而确立了EfhP作为Ca2+传感器的作用。
    Calcium (Ca2+) is well known as a second messenger in eukaryotes, where Ca2+ signaling controls life-sustaining cellular processes. Although bacteria produce the components required for Ca2+ signaling, little is known about the mechanisms of bacterial Ca2+ signaling. Previously, we have identified a putative Ca2+-binding protein EfhP (PA4107) with two canonical EF-hand motifs and reported that EfhP mediates Ca2+ regulation of virulence factors production and infectivity in Pseudomonas aeruginosa, a human pathogen causing life-threatening infections. Here, we show that EfhP selectively binds Ca2+ with 13.7 µM affinity, and that mutations at the +X and -Z positions within each or both EF-hand motifs abolished Ca2+ binding. We also show that the hydrophobicity of EfhP increased in a Ca2+-dependent manner, however no such response was detected in the mutated proteins. 15 N-NMR showed Ca2+-dependent chemical shifts in EfhP confirming Ca2+-binding triggered structural rearrangements in the protein. Deletion of efhP impaired P. aeruginosa survival in macrophages and virulence in vivo. Disabling EfhP Ca2+ binding abolished Ca2+ induction of pyocyanin production in vitro. These data confirm that EfhP selectively binds Ca2+, which triggers its structural changes required for the Ca2+ regulation of P. aeruginosa virulence, thus establishing the role of EfhP as a Ca2+ sensor.
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  • 文章类型: Journal Article
    钙调蛋白(CaM)与视黄醇摄取受体的相互作用,STRA6涉及称为BP2的α-螺旋,该螺旋位于该同源二聚体转运蛋白的胞内侧(Chen等人。,2016年[1])。在没有Ca2+的情况下,NMR数据显示,源自BP2的肽与Mg2+-结合的CaM(MgCaM)的C-末端叶(C-叶)结合。在将Ca2滴定到MgCaM-BP2中时,观察到C叶中残基的NMR化学位移扰动(CSP),包括EF-手Ca2+结合域中的那些,EF3和EF4(CaKD=60±7nM)。随着游离Ca2+浓度的提高,CSP发生在N末端叶(N-叶)中的残基,包括EF1和EF2中的残基(CaKD=1000±160nM)。热力学和动力学Ca2结合研究表明,添加BP2会增加CaM的Ca2结合亲和力,并减慢其在C-和N-叶EF手域中的Ca2解离速率(koff),分别。这些数据与BP2在低游离Ca2+浓度(<100nM)下与CaM的C-叶结合一致,如在静息细胞内水平下发现的那些。当游离Ca2+水平接近1000nM时,这是典型的细胞内的细胞内Ca2+信号事件,此处显示BP2与负载Ca2+的CaM(CaCaCaM-BP2)的N-和C-叶相互作用。因为在CaCaM-BP2复合物中观察到的这种结构重排发生在细胞内游离Ca2+浓度接近Ca2+信号事件的典型浓度时(CaKD=1000±160nM),这种构象变化可能与全长CaCaM-STRA6的维生素A转运有关。
    The interaction of calmodulin (CaM) with the receptor for retinol uptake, STRA6, involves an α-helix termed BP2 that is located on the intracellular side of this homodimeric transporter (Chen et al., 2016 [1]). In the absence of Ca2+, NMR data showed that a peptide derived from BP2 bound to the C-terminal lobe (C-lobe) of Mg2+-bound CaM (MgCaM). Upon titration of Ca2+ into MgCaM-BP2, NMR chemical shift perturbations (CSPs) were observed for residues in the C-lobe, including those in the EF-hand Ca2+-binding domains, EF3 and EF4 (CaKD = 60 ± 7 nM). As higher concentrations of free Ca2+ were achieved, CSPs occurred for residues in the N-terminal lobe (N-lobe) including those in EF1 and EF2 (CaKD = 1000 ± 160 nM). Thermodynamic and kinetic Ca2+ binding studies showed that BP2 addition increased the Ca2+-binding affinity of CaM and slowed its Ca2+ dissociation rates (koff) in both the C- and N-lobe EF-hand domains, respectively. These data are consistent with BP2 binding to the C-lobe of CaM at low free Ca2+ concentrations (<100 nM) like those found at resting intracellular levels. As free Ca2+ levels approach 1000 nM, which is typical inside a cell upon an intracellular Ca2+-signaling event, BP2 is shown here to interact with both the N- and C-lobes of Ca2+-loaded CaM (CaCaM-BP2). Because this structural rearrangement observed for the CaCaM-BP2 complex occurs as intracellular free Ca2+ concentrations approach those typical of a Ca2+-signaling event (CaKD = 1000 ± 160 nM), this conformational change could be relevant to vitamin A transport by full-length CaCaM-STRA6.
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  • 文章类型: Journal Article
    Strontium salts are used for treatment of osteoporosis and bone cancer, but their impact on calcium-mediated physiological processes remains obscure. To explore Sr2+ interference with Ca2+ binding to proteins of the EF-hand family, we studied Sr2+/Ca2+ interaction with a canonical EF-hand protein, α-parvalbumin (α-PA). Evaluation of the equilibrium metal association constants for the active Ca2+ binding sites of recombinant human α-PA (\'CD\' and \'EF\' sites) from fluorimetric titration experiments and isothermal titration calorimetry data gave 4 × 109 M-1 and 4 × 109 M-1 for Ca2+, and 2 × 107 M-1 and 2 × 106 M-1 for Sr2+. Inactivation of the EF site by homologous substitution of the Ca2+-coordinating Glu in position 12 of the EF-loop by Gln decreased Ca2+/Sr2+ affinity of the protein by an order of magnitude, whereas the analogous inactivation of the CD site induced much deeper suppression of the Ca2+/Sr2+ affinity. These results suggest that Sr2+ and Ca2+ bind to CD/EF sites of α-PA and the Ca2+/Sr2+ binding are sequential processes with the CD site being occupied first. Spectrofluorimetric Sr2+ titration of the Ca2+-loaded α-PA revealed presence of secondary Sr2+ binding site(s) with an apparent equilibrium association constant of 4 × 105 M-1. Fourier-transform infrared spectroscopy data evidence that Ca2+/Sr2+-loaded forms of α-PA exhibit similar states of their COO- groups. Near-UV circular dichroism (CD) data show that Ca2+/Sr2+ binding to α-PA induce similar changes in symmetry of microenvironment of its Phe residues. Far-UV CD experiments reveal that Ca2+/Sr2+ binding are accompanied by nearly identical changes in secondary structure of α-PA. Meanwhile, scanning calorimetry measurements show markedly lower Sr2+-induced increase in stability of tertiary structure of α-PA, compared to the Ca2+-induced effect. Theoretical modeling using Density Functional Theory computations with Polarizable Continuum Model calculations confirms that Ca2+-binding sites of α-PA are well protected against exchange of Ca2+ for Sr2+ regardless of coordination number of Sr2+, solvent exposure or rigidity of sites. The latter appears to be a key determinant of the Ca2+/Sr2+ selectivity. Overall, despite lowered affinity of α-PA to Sr2+, the latter competes with Ca2+ for the same EF-hands and induces similar structural rearrangements. The presence of a secondary Sr2+ binding site(s) could be a factor contributing to Sr2+ impact on the functional activity of proteins.
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  • 文章类型: Journal Article
    Centrin-1, a Ca2+ sensor protein of the centrin family is a crucial player for cell division in eukaryotes and plays a key role in the microtubule organising centre. Despite being regarded as a calcium sensor with a matched structure to calmodulin/troponin C, the protein undergoes mild changes in conformation and binds Ca2+ with moderate affinity. We present an in-depth analysis of the Ca2+ sensing by individual EF-hand motifs of centrin-1 and address unsolved questions of the rationales for moderate affinity and conformational transitions of the protein. Employing the more sensitive approach of Trp scanning of individual EF-hand motif, we have undertaken an exhaustive investigation of Ca2+ binding to individual EF-hand motifs, named EF1 to EF4. All four EF-hand motifs of centrin-1 are structural as all of them bind both Ca2+ and Mg2+. EF1 and EF4 are the most flexible sites as they undergo drastic conformational changes following Ca2+ binding, whereas EF3 responds to Ca2+ minimally. On the other hand, EF2 moves towards the protein surface upon binding Ca2+. The independent filling mode of Ca2+ to EF-hand motifs and lack of intermotif communication explain the lack of cooperativity of binding, thus constraining centrin-1 to a moderate affinity binding protein. Thus, centrin-1 is distinct from other calcium sensors such as calmodulin.
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  • 文章类型: Journal Article
    It is challenging to parameterize the force field for calcium ions (Ca2+) in calcium-binding proteins because of their unique coordination chemistry that involves the surrounding atoms required for stability. In this work, we observed a wide variation in Ca2+ binding loop conformations of the Ca2+-binding protein calmodulin, which adopts the most populated ternary structures determined from the molecular dynamics simulations, followed by ab initio quantum mechanical (QM) calculations on all 12 amino acids in the loop that coordinate Ca2+ in aqueous solution. Ca2+ charges were derived by fitting to the electrostatic potential in the context of a classical or polarizable force field (PFF). We discovered that the atomic radius of Ca2+ in conventional force fields is too large for the QM calculation to capture the variation in the coordination geometry of Ca2+ in its ionic form, leading to unphysical charges. Specifically, we found that the fitted atomic charges of Ca2+ in the context of PFF depend on the coordinating geometry of electronegative atoms from the amino acids in the loop. Although nearby water molecules do not influence the atomic charge of Ca2+, they are crucial for compensating for the coordination of Ca2+ due to the conformational flexibility in the EF-hand loop. Our method advances the development of force fields for metal ions and protein binding sites in dynamic environments.
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