51
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Henry ER, Eaton WA. Combinatorial modeling of protein folding kinetics: free energy profiles and rates. Chem Phys 2004. [DOI: 10.1016/j.chemphys.2004.06.064] [Citation(s) in RCA: 76] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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52
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Nakamura HK, Sasai M, Takano M. Scrutinizing the squeezed exponential kinetics observed in the folding simulation of an off-lattice Go-like protein model. Chem Phys 2004. [DOI: 10.1016/j.chemphys.2004.07.011] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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53
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Fersht AR. Relationship of Leffler (Bronsted) alpha values and protein folding Phi values to position of transition-state structures on reaction coordinates. Proc Natl Acad Sci U S A 2004; 101:14338-42. [PMID: 15383660 PMCID: PMC521971 DOI: 10.1073/pnas.0406091101] [Citation(s) in RCA: 54] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The positions of transition states along reaction coordinates (r++) for simple chemical reactions are often estimated from Leffler alpha values, the slope of plots of DeltaG++ (activation energy) versus DeltaG(0) (equilibrium free energy) for a series of structural variants. Protein folding is more complex than simple chemical reactions and has a multitude of reaction coordinates. Phi-Value analysis measures degree of structure formation at individual residues in folding transition states from the ratio DeltaDeltaG++/DeltaDeltaG(0) for mutations. alpha values are now being used to analyze protein folding by lumping series of Phi values into single plots. But, there are discrepancies in the values of alpha for folding with more classical measures of the extent of structure formation, which I rationalize here. I show for chemical reactions with just a single reaction coordinate that alpha = r++ only for limiting cases, such as for reactants and products being in parabolic energy wells of identical curvature. Otherwise, alpha can differ radically from r++, with alpha being determined just by the angles of intersection of reactant and product energy surfaces. Phi is an index of the progress of a local, energy-based reaction coordinate at the global transition state: Phi <0.5 corresponds to <50% progress of the local coordinate at the global transition state and Phi >0.5 means >50%. Protein Leffler plots can force different local indexes to a single fit and give skewed underestimates of the extent of global structure formation in transition states that differ from other measures of structure formation.
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Affiliation(s)
- Alan R Fersht
- Cambridge University Chemical Laboratory and Medical Research Council Centre for Protein Engineering, Medical Research Council Centre, Hills Road, Cambridge CB2 2QH, United Kingdom
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54
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Chang I, Cieplak M, Banavar JR, Maritan A. What can one learn from experiments about the elusive transition state? Protein Sci 2004; 13:2446-57. [PMID: 15295118 PMCID: PMC2280003 DOI: 10.1110/ps.04713804] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Abstract
We present the results of an exact analysis of a model energy landscape of a protein to clarify the idea of the transition state and the physical meaning of the phi values determined in protein engineering experiments. We benchmark our findings to various theoretical approaches proposed in the literature for the identification and characterization of the transition state.
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Affiliation(s)
- Iksoo Chang
- Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
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55
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Nölting B, Jülich D, Vonau W, Andert K. Evolutionary Computer Programming of Protein Folding and Structure Predictions. J Theor Biol 2004; 229:13-8. [PMID: 15178181 DOI: 10.1016/j.jtbi.2004.02.016] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/03/2003] [Revised: 02/09/2004] [Accepted: 02/25/2004] [Indexed: 10/26/2022]
Abstract
In order to understand the mechanism of protein folding and to assist the rational de-novo design of fast-folding, non-aggregating and stable artificial enzymes it is very helpful to be able to simulate protein folding reactions and to predict the structures of proteins and other biomacromolecules. Here, we use a method of computer programming called "evolutionary computer programming" in which a program evolves depending on the evolutionary pressure exerted on the program. In the case of the presented application of this method on a computer program for folding simulations, the evolutionary pressure exerted was towards faster finding deep minima in the energy landscape of protein folding. Already after 20 evolution steps, the evolved program was able to find deep minima in the energy landscape more than 10 times faster than the original program prior to the evolution process.
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Affiliation(s)
- Bengt Nölting
- Prussian Private Institute of Technology at Berlin, Am Schlosspark 30, Berlin D-13187, Germany.
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56
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Garcia-Mira MM, Boehringer D, Schmid FX. The Folding Transition State of the Cold Shock Protein is Strongly Polarized. J Mol Biol 2004; 339:555-69. [PMID: 15147842 DOI: 10.1016/j.jmb.2004.04.011] [Citation(s) in RCA: 60] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2004] [Revised: 04/02/2004] [Accepted: 04/02/2004] [Indexed: 10/26/2022]
Abstract
The cold shock protein CspB from Bacillus subtilis consists of a three-stranded (beta1-beta3) and a two stranded (beta4-beta5) sheet, which form a closed beta barrel structure. CspB folds and unfolds rapidly in a two-state reaction, and the unfolded and the folded molecules interconvert with a time constant of 30 ms at the midpoint of the urea-induced transition (at 25 degrees C). The transition state of folding is native-like, as judged by the Tanford betaT value of > or =0.9. By using a mutational approach and Phi value analysis, we find that the folding transition state of CspB is energetically polarized. Despite the high betaT value, most Phi values are low. Values close to 1 were found for only a few residues, particularly in strand beta1 (Lys5, Val6, Lys7, Asn10). The interactions of the Asn10 side-chain with the backbone at positions 12 and 13 define the turn that connects the strands beta1 and beta2. Lys5 and Val6 in beta1 interact with residues in beta4, and their high Phi values indicate that an energetic linkage between beta1 and beta4 and thus between the two sheets exists already in the transition state. We compared our experimental Phi values with theoretical predictions of the folding pathway of cold shock proteins. Several of them suggest that the entire first sheet is formed in the transition state, and some identify the beta1-beta4 pairing as a crucial step in folding. Alternative paths that involve formation of the second sheet and beta3-beta5 pairing reactions were, however, suggested as well. The calculations gave coarse-grained pictures that are limited in resolution to the two sheets of CspB or to the elements of secondary structure. They did not identify the key residues with the high Phi values within these structural elements.
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Affiliation(s)
- Maria M Garcia-Mira
- Laboratorium für Biochemie und Bayreuther Zentrum für Molekulare Biowissenschaften, Universität Bayreuth, D-95440 Bayreuth, Germany
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57
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Hedberg L, Oliveberg M. Scattered Hammond plots reveal second level of site-specific information in protein folding: phi' (beta++). Proc Natl Acad Sci U S A 2004; 101:7606-11. [PMID: 15136744 PMCID: PMC419653 DOI: 10.1073/pnas.0308497101] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2003] [Accepted: 04/05/2004] [Indexed: 11/18/2022] Open
Abstract
Site-specific information about structural heterogeneities of the protein-folding transition-state ensemble is commonly derived from the scatter of the Brønsted plot through the individual values of = Delta logk(f)/Delta logK(D-N). Here, we provide a second level of site-specific detail in the transition-state analysis by demonstrating that the scatter of the Hammond plot is related to heterogeneities in the -value growth. That is, the extent of transition-state movement (Delta beta(++)) is proportional to the free-energy gradient of the mutational perturbation across the top of the activation barrier, '(beta(++)) proportional, variant Delta logK(D-N). The analysis is applied to the two-state protein L23 where the site-specific free-energy gradients are used to identify the interactions that show the highest degree of consolidation after crossing the barrier top. These interactions are distributed as a shell around the high- initiation point and denote the side-chain contacts that add criticality to the folding nucleus.
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Affiliation(s)
- Linda Hedberg
- Department of Biochemistry, Umeå University, S-901 87 Umea, Sweden
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58
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Hubner IA, Oliveberg M, Shakhnovich EI. Simulation, experiment, and evolution: understanding nucleation in protein S6 folding. Proc Natl Acad Sci U S A 2004; 101:8354-9. [PMID: 15150413 PMCID: PMC420398 DOI: 10.1073/pnas.0401672101] [Citation(s) in RCA: 51] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
In this study, we explore nucleation and the transition state ensemble of the ribosomal protein S6 using a Monte Carlo (MC) Go model in conjunction with restraints from experiment. The results are analyzed in the context of extensive experimental and evolutionary data. The roles of individual residues in the folding nucleus are identified, and the order of events in the S6 folding mechanism is explored in detail. Interpretation of our results agrees with, and extends the utility of, experiments that shift phi-values by modulating denaturant concentration and presents strong evidence for the realism of the mechanistic details in our MC Go model and the structural interpretation of experimental phi-values. We also observe plasticity in the contacts of the hydrophobic core that support the specific nucleus. For S6, which binds to RNA and protein after folding, this plasticity may result from the conformational flexibility required to achieve biological function. These results present a theoretical and conceptual picture that is relevant in understanding the mechanism of nucleation in protein folding.
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Affiliation(s)
- Isaac A Hubner
- Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA
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59
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Rousseau F, Schymkowitz JWH, Wilkinson HR, Itzhaki LS. Intermediates Control Domain Swapping during Folding of p13. J Biol Chem 2004; 279:8368-77. [PMID: 14662764 DOI: 10.1074/jbc.m310640200] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022] Open
Abstract
The 13-kDa protein p13(suc1) has two folded states, a monomer and a structurally similar domain-swapped dimer formed by exchange of a beta-strand. The refolding reaction of p13(suc1) is multiphasic, and in this paper we analyze the kinetics as a function of denaturant and protein concentration and compare the behavior of wild type and a set of mutants previously designed with dimerization propensities that span 9 orders of magnitude. We show that the folding reactions of wild type and all mutants produce the monomer predominantly despite their very different equilibrium behavior. However, the addition of low concentrations of denaturant in the refolding buffer leads to thermodynamic control of the folding reaction with products that correspond to the wild type and mutant equilibrium dimerization propensities. We present evidence that the kinetic control in the absence of urea arises because of the population of the folding intermediates. Intermediates are usually considered to be detrimental to folding because they slow down the reaction; however, our work shows that intermediates buffer the monomeric folding pathway against the effect of mutations that favor the nonfunctional, dimeric state at equilibrium.
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Affiliation(s)
- Frederic Rousseau
- Medical Research Council Centre for Protein Engineering, Cambridge University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom
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60
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García AE, Onuchic JN. Folding a protein in a computer: an atomic description of the folding/unfolding of protein A. Proc Natl Acad Sci U S A 2003; 100:13898-903. [PMID: 14623983 PMCID: PMC283518 DOI: 10.1073/pnas.2335541100] [Citation(s) in RCA: 298] [Impact Index Per Article: 14.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
We study the folding mechanism of a three-helix bundle protein at atomic resolution, including effects of explicit water. Using replica exchange molecular dynamics we perform enough sampling over a wide range of temperatures to obtain the free energy, entropy, and enthalpy surfaces as a function of structural reaction coordinates. Simulations were started from different configurations covering the folded and unfolded states. Because many transitions between all minima at the free energy surface are observed, a quantitative determination of the free energy barriers and the ensemble of configurations associated with them is now possible. The kinetic bottlenecks for folding can be determined from the thermal ensembles of structures on the free energy barriers, provided the kinetically determined transition-state ensembles are similar to those determined from free energy barriers. A mechanism incorporating the interplay among backbone ordering, sidechain packing, and desolvation arises from these calculations. Large Phi values arise not only from native contacts, which mostly form at the transition state, but also from contacts already present in the unfolded state that are partially destroyed at the transition.
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Affiliation(s)
- Angel E García
- Los Alamos National Laboratory, Theoretical Biology and Biophysics Group, Theoretical Division, T10 MS K710, Los Alamos, NM 87545, USA.
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61
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Karanicolas J, Brooks CL. Improved Gō-like Models Demonstrate the Robustness of Protein Folding Mechanisms Towards Non-native Interactions. J Mol Biol 2003; 334:309-25. [PMID: 14607121 DOI: 10.1016/j.jmb.2003.09.047] [Citation(s) in RCA: 177] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Abstract
The use of simple theoretical models has provided a considerable contribution to our present understanding of the means by which proteins adopt their native fold from the plethora of available unfolded states. A common assumption in building computationally tractable models has been the neglect of stabilizing non-native interactions in the class of models described as "Gō-like." The focus of this study is the characterization of the folding of a number of proteins via a Gō-like model, which aims to map a maximal amount of information reflecting the protein sequence onto a "minimalist" skeleton. This model is shown to contain sufficient information to reproduce the folding transition states of a number of proteins, including topologically analogous proteins that fold via different transition states. Remarkably, these models also demonstrate consistency with the general features of folding transition states thought to be stabilized by non-native interactions. This suggests that native interactions are the primary determinant of most protein folding transition states, and that non-native interactions lead only to local structural perturbations. A prediction is also included for an asymmetrical folding transition state of bacteriophage lambda protein W, which has yet to be subjected to experimental characterization.
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Affiliation(s)
- John Karanicolas
- Department of Molecular Biology (TPC6), The Scripps Research Institute, 10550 North Torrey Pines Road, La Jolla, CA 92037, USA
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62
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Nölting B, Schälike W, Hampel P, Grundig F, Gantert S, Sips N, Bandlow W, Qi PX. Structural determinants of the rate of protein folding. J Theor Biol 2003; 223:299-307. [PMID: 12850450 DOI: 10.1016/s0022-5193(03)00091-2] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
To understand the mechanism of protein folding and to assist rational design of fast-folding, non-aggregating and stable artificial enzymes, it is essential to determine the structural parameters which govern the rate constants of folding, kf. It has been found that -logkf is a linear function of the so-called chain topology parameter (CTP) within the range of 10(-1)s(-1)< or = kf < or =10(8)s(-1). The correlation between -logkf and CTP is much improved than using previously published contact order (CO) method. It has been further suggested that short sequence separations may be preferred for the establishment of stable interactions for the design of novel artificial enzymes and the modification of slow-folding proteins with aggregating intermediates.
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Affiliation(s)
- Bengt Nölting
- Prussian Private Institute of Technology at Berlin, Am Schlosspark 30, Berlin D-13187, Germany.
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63
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Guo W, Lampoudi S, Shea JE. Posttransition state desolvation of the hydrophobic core of the src-SH3 protein domain. Biophys J 2003; 85:61-9. [PMID: 12829464 PMCID: PMC1303065 DOI: 10.1016/s0006-3495(03)74454-3] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022] Open
Abstract
The folding thermodynamics of the src-SH3 protein domain were characterized under refolding conditions through biased fully atomic molecular dynamics simulations with explicit solvent. The calculated free energy surfaces along several reaction coordinates revealed two barriers. The first, larger barrier was identified as the transition state barrier for folding, associated with the formation of the first hydrophobic sheet of the protein. phi values calculated from structures residing at the transition state barrier agree well with experimental phi values. The microscopic information obtained from our simulations allowed us to unambiguously assign intermediate phi values as the result of multiple folding pathways. The second, smaller barrier occurs later in the folding process and is associated with the cooperative expulsion of water molecules between the hydrophobic sheets of the protein. This posttransition state desolvation barrier cannot be observed through traditional folding experiments, but is found to be critical to the correct packing of the hydrophobic core in the final stages of folding. Hydrogen exchange and NMR experiments are suggested to probe this barrier.
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Affiliation(s)
- Weihua Guo
- Department of Chemistry, University of California, Santa Barbara, California 93106, USA
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64
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Abstract
We develop a simple model for computing the rates and routes of folding of two-state proteins from the contact maps of their native structures. The model is based on the graph-theoretical concept of effective contact order (ECO). The model predicts that proteins fold by "zipping up" in a sequence of small-loop-closure events, depending on the native chain fold. Using a simple equation, with a few physical rate parameters, we obtain a good correlation with the folding rates of 24 two-state folding proteins. The model rationalizes data from Phi-value analysis that have been interpreted in terms of delocalized or polarized transition states. This model indicates how much of protein folding may take place in parallel, not along a single reaction coordinate or with a single transition state.
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Affiliation(s)
- Thomas R Weikl
- Department of Pharmaceutical Chemistry, University of California, Box 2240, San Francisco, CA 94143-2240, USA.
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65
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Bartley LE, Zhuang X, Das R, Chu S, Herschlag D. Exploration of the transition state for tertiary structure formation between an RNA helix and a large structured RNA. J Mol Biol 2003; 328:1011-26. [PMID: 12729738 DOI: 10.1016/s0022-2836(03)00272-9] [Citation(s) in RCA: 88] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
Docking of the P1 duplex into the pre-folded core of the Tetrahymena group I ribozyme exemplifies the formation of tertiary interactions in the context of a complex, structured RNA. We have applied Phi-analysis to P1 docking, which compares the effects of modifications on the rate constant for docking (k(dock)) with the effects on the docking equilibrium (K(dock)). To accomplish this we used a single molecule fluorescence resonance energy transfer assay that allows direct determination of the rate constants for formation of thermodynamically favorable, as well as unfavorable, states. Modification of the eight groups of the P1 duplex that make tertiary interactions with the core and changes in solution conditions decrease K(dock) up to 500-fold, whereas k(dock) changes by </=2-fold. The absence of effects on k(dock), both from atomic modifications and global perturbations, strongly suggests that the transition state for docking is early and does not closely resemble the docked state. These results, the slow rate of docking of 3s(-1), and the observation that a modification that is expected to increase the degrees of freedom between the P1 duplex and the ribozyme core accelerates docking, suggest a model in which a kinetic trap(s) slows docking substantially. Nonetheless, urea does not increase k(dock), suggesting that there is little change in the exposed surface area between the trapped, undocked state and the transition state. The findings highlight that urea and temperature dependencies can be inadequate to diagnose the presence of kinetic traps in a folding process. The results described here, combined with previous work, provide an in-depth view of an RNA tertiary structure formation event and suggest that large, highly structured RNAs may have local regions that are misordered.
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Affiliation(s)
- Laura E Bartley
- Department of Biochemistry, B400 Beckman Center, Stanford University, Stanford, CA 94305-5307, USA
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66
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Cobos ES, Filimonov VV, Vega MC, Mateo PL, Serrano L, Martínez JC. A thermodynamic and kinetic analysis of the folding pathway of an SH3 domain entropically stabilised by a redesigned hydrophobic core. J Mol Biol 2003; 328:221-33. [PMID: 12684010 DOI: 10.1016/s0022-2836(03)00273-0] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
Abstract
The folding thermodynamics and kinetics of the alpha-spectrin SH3 domain with a redesigned hydrophobic core have been studied. The introduction of five replacements, A11V, V23L, M25V, V44I and V58L, resulted in an increase of 16% in the overall volume of the side-chains forming the hydrophobic core but caused no remarkable changes to the positions of the backbone atoms. Judging by the scanning calorimetry data, the increased stability of the folded structure of the new SH3-variant is caused by entropic factors, since the changes in heat capacity and enthalpy upon the unfolding of the wild-type and mutant proteins were identical at 298 K. It appears that the design process resulted in an increase in burying both the hydrophobic and hydrophilic surfaces, which resulted in a compensatory effect upon the changes in heat capacity and enthalpy. Kinetic analysis shows that both the folding and unfolding rate constants are higher for the new variant, suggesting that its transition state becomes more stable compared to the folded and unfolded states. The phi(double dagger-U) values found for a number of side-chains are slightly lower than those of the wild-type protein, indicating that although the transition state ensemble (TSE) did not change overall, it has moved towards a more denatured conformation, in accordance with Hammond's postulate. Thus, the acceleration of the folding-unfolding reactions is caused mainly by an improvement in the specific and/or non-specific hydrophobic interactions within the TSE rather than by changes in the contact order. Experimental evidence showing that the TSE changes globally according to its hydrophobic content suggests that hydrophobicity may modulate the kinetic behaviour and also the folding pathway of a protein.
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Affiliation(s)
- Eva S Cobos
- Department of Physical Chemistry and Institute of Biotechnology, Faculty of Sciences, University of Granada, 1807 Granada, Spain
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67
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Silow M, Oliveberg M. High concentrations of viscogens decrease the protein folding rate constant by prematurely collapsing the coil. J Mol Biol 2003; 326:263-71. [PMID: 12547208 DOI: 10.1016/s0022-2836(02)01331-1] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Abstract
In several studies, viscogenic osmolytes have been suggested to decrease the folding rate constant of polypeptides by slowing their motion through the solvent. Here, we show that osmolytes may slow protein folding by prematurely collapsing the coil. At low or moderate concentrations of osmolytes (<30%), folding of the two-state protein CI2 becomes faster with increasing osmolyte concentrations, suggesting that the kinetics are governed by protein stability. However, at higher concentrations of osmolyte, the coil collapses in the dead-time of the refolding experiment, causing a dramatic drop in the folding rate. The collapsed state is non-native and appears to be different for different osmolytes.
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Affiliation(s)
- Maria Silow
- Department of Biochemistry, Umeå University, S-901 87, Umeå, Sweden
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68
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Seeliger MA, Breward SE, Itzhaki LS. Weak cooperativity in the core causes a switch in folding mechanism between two proteins of the cks family. J Mol Biol 2003; 325:189-99. [PMID: 12473461 DOI: 10.1016/s0022-2836(02)01202-0] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Abstract
The human protein ckshs1 (cks1) is a 79 residue alpha/beta protein with low thermodynamic and kinetic stability. Its folding mechanism was probed by mutation at sites throughout the structure. Many of the mutations caused changes in the slope of the unfolding arm of the chevron plot. The effects can be rationalised in terms of either transition-state movement or native-state "breathing", and in either case, the magnitude of the effect enables the sequence of events in the folding reaction to be determined. Those sites that fold early exhibit a small perturbation, whilst those sites that fold late exhibit a large perturbation. The results show that cks1 folds sequential pairs of beta-strands first; beta1/beta2 and beta3/beta4. Subsequently, these pairs pack against each other and onto the alpha-helical region to form the core. The folding process of cks1 contrasts with that of the homologue, suc1. The 113 residue suc1 has the same beta-sheet core structure but, additionally, two large insertions that confer much greater thermodynamic and kinetic stability. The more extensive network of tertiary interactions in suc1 provides sufficient enthalpic gain to overcome the entropic cost of forming the core and thus tips the balance in favour of non-local interactions: the non-local, central beta-strand pair, beta2/beta4, forms first and the periphery strands pack on later. Moreover, the greater cooperativity of the core of suc1 protects its folding from perturbation and consequently the slope of the unfolding arm of the chevron plot is much less sensitive to mutation.
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Affiliation(s)
- M A Seeliger
- MRC Centre for Protein Engineering, University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, UK
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69
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Wang J, Wang W. Folding transition of model protein chains characterized by partition function zeros. J Chem Phys 2003. [DOI: 10.1063/1.1536162] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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70
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Navon A, Ittah V, Scheraga HA, Haas E. Formation of the hydrophobic core of ribonuclease A through sequential coordinated conformational transitions. Biochemistry 2002; 41:14225-31. [PMID: 12450386 DOI: 10.1021/bi020506p] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
With steady-state and time-resolved fluorescence energy-transfer measurements, we determined the distributions of intramolecular distances in nine mutants to study the conformations of wild-type ribonuclease A in the reduced state under folding conditions. Although far-UV-CD measurements show no evidence for a secondary-structure transition, temperature- and GdnHCl-induced changes in intramolecular distance distributions in the reduced state revealed evidence for long-range subdomain structures in the denatured protein. These poorly defined structures, reflected here by wide distributions corresponding to a wide range of energies, form during refolding in a complex sequence of multiple subdomain transitions. A more well-defined structure emerges only when this structural framework, which directs the successive steps in the folding process, matures and is reinforced by stronger interactions such as disulfide bonds.
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Affiliation(s)
- Ami Navon
- Faculty of Life Sciences, Bar Ilan University, Ramat Gan, Israel 52900
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71
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Abstract
The effect of non-random conformational averaging in the urea-unfolded state on the folding pathway has been investigated in a variant of the FK506 binding protein with three additional residues at the amino terminus (FKBP(*)). Three mutations (asparagine, aspartate, and threonine) were introduced into position Q53 to enhance formation of non-native helix observed in this part of the protein in the urea-unfolded state. NMR analysis showed minor structural changes in the native state of each mutant, but additional medium-range alphaN(i,i+2) of each mutant nuclear Overhauser enhancements were observed in the urea-unfolded state that were not in FKBP(*), indicating that the mutations had a more substantial effect on the unfolded state ensemble than on the native state ensemble. Isothermal equilibrium denaturation measurements showed that the Q53T and Q53D mutants were destabilized, whereas the Q53N mutant was stabilized relative to FKBP(*) with little change in the equilibrium m values. The unfolding rates of Q53N and Q53T were similar to that of FKBP(*), but Q53D unfolded twice as fast as FKBP(*). In contrast, the mutations had a more pronounced effect on the refolding kinetics. Q53N refolded slightly faster and exhibited a kinetic folding intermediate similar to that of FKBP(*). The Q53D and Q53T mutants also refolded faster than FKBP(*) but lacked the folding intermediate, indicating that these mutants experienced a different folding trajectory and transition state than FKBP(*) and Q53N. The refolding kinetic Phi values were 0.74, 1.4 and 7.9 for Q53N, Q53T, and Q53D, respectively. The data point to Q53 functioning as a gatekeeper residue in the folding of FKBP(*). This study shows that perturbing the unfolded state ensemble via mutagenesis can provide insights into residues that play important roles in the folding pathway, and represents an attractive strategy for mapping the high-energy portions of the folding energy landscape.
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Affiliation(s)
- Alla Korepanova
- Graduate Program in Molecular Biophysics, Florida State University, 501 MBB 4380, Tallahassee, FL 32306-4380, USA
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72
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Horrigan FT, Aldrich RW. Coupling between voltage sensor activation, Ca2+ binding and channel opening in large conductance (BK) potassium channels. J Gen Physiol 2002; 120:267-305. [PMID: 12198087 PMCID: PMC2229516 DOI: 10.1085/jgp.20028605] [Citation(s) in RCA: 390] [Impact Index Per Article: 17.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022] Open
Abstract
To determine how intracellular Ca(2+) and membrane voltage regulate the gating of large conductance Ca(2+)-activated K(+) (BK) channels, we examined the steady-state and kinetic properties of mSlo1 ionic and gating currents in the presence and absence of Ca(2+) over a wide range of voltage. The activation of unliganded mSlo1 channels can be accounted for by allosteric coupling between voltage sensor activation and the closed (C) to open (O) conformational change (Horrigan, F.T., and R.W. Aldrich. 1999. J. Gen. Physiol. 114:305-336; Horrigan, F.T., J. Cui, and R.W. Aldrich. 1999. J. Gen. Physiol. 114:277-304). In 0 Ca(2+), the steady-state gating charge-voltage (Q(SS)-V) relationship is shallower and shifted to more negative voltages than the conductance-voltage (G(K)-V) relationship. Calcium alters the relationship between Q-V and G-V, shifting both to more negative voltages such that they almost superimpose in 70 microM Ca(2+). This change reflects a differential effect of Ca(2+) on voltage sensor activation and channel opening. Ca(2+) has only a small effect on the fast component of ON gating current, indicating that Ca(2+) binding has little effect on voltage sensor activation when channels are closed. In contrast, open probability measured at very negative voltages (less than -80 mV) increases more than 1,000-fold in 70 microM Ca(2+), demonstrating that Ca(2+) increases the C-O equilibrium constant under conditions where voltage sensors are not activated. Thus, Ca(2+) binding and voltage sensor activation act almost independently, to enhance channel opening. This dual-allosteric mechanism can reproduce the steady-state behavior of mSlo1 over a wide range of conditions, with the assumption that activation of individual Ca(2+) sensors or voltage sensors additively affect the energy of the C-O transition and that a weak interaction between Ca(2+) sensors and voltage sensors occurs independent of channel opening. By contrast, macroscopic I(K) kinetics indicate that Ca(2+) and voltage dependencies of C-O transition rates are complex, leading us to propose that the C-O conformational change may be described by a complex energy landscape.
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Affiliation(s)
- Frank T Horrigan
- Department of Physiology, University of Pennsylvania School of Medicine, Philadelphia, PA 19104, USA.
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73
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Miller EJ, Fischer KF, Marqusee S. Experimental evaluation of topological parameters determining protein-folding rates. Proc Natl Acad Sci U S A 2002; 99:10359-63. [PMID: 12149462 PMCID: PMC124919 DOI: 10.1073/pnas.162219099] [Citation(s) in RCA: 65] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Recent work suggests that structural topology plays a key role in determining protein-folding rates and pathways. The refolding rates of small proteins that fold without intermediates are found to correlate with simple structural parameters such as relative contact order, long-range order, or the fraction of short-range contacts. To test and evaluate the role of structural topology experimentally, a set of circular permutants of the ribosomal protein S6 from Thermus thermophilus was analyzed. Despite a wide range of relative contact order, the permuted proteins all fold with similar rates. These results suggest that alternative topological parameters may better describe the role of topology in protein-folding rates.
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Affiliation(s)
- Erik J Miller
- Department of Molecular and Cell Biology, University of California, Berkeley, CA 94720, USA
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74
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Viguera AR, Vega C, Serrano L. Unspecific hydrophobic stabilization of folding transition states. Proc Natl Acad Sci U S A 2002; 99:5349-54. [PMID: 11959988 PMCID: PMC122772 DOI: 10.1073/pnas.072387799] [Citation(s) in RCA: 61] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Here we present a method for determining the inference of non-native conformations in the folding of a small domain, alpha-spectrin Src homology 3 domain. This method relies on the preservation of all native interactions after Tyr/Phe exchanges in solvent-exposed, contact-free positions. Minor changes in solvent exposure and free energy of the denatured ensemble are in agreement with the reverse hydrophobic effect, as the Tyr/Phe mutations slightly change the polypeptide hydrophilic/hydrophobic balance. Interestingly, more important Gibbs energy variations are observed in the transition state ensemble (TSE). Considering the small changes induced by the H/OH replacements, the observed energy variations in the TSE are rather notable, but of a magnitude that would remain undetected under regular mutations that alter the folded structure free energy. Hydrophobic residues outside of the folding nucleus contribute to the stability of the TSE in an unspecific nonlinear manner, producing a significant acceleration of both unfolding and refolding rates, with little effect on stability. These results suggest that sectors of the protein transiently reside in non-native areas of the landscape during folding, with implications in the reading of phi values from protein engineering experiments. Contrary to previous proposals, the principle that emerges is that non-native contacts, or conformations, could be beneficial in evolution and design of some fast folding proteins.
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Affiliation(s)
- Ana Rosa Viguera
- European Molecular Biology Laboratory, Meyerhofstrasse 1, Postfach 10229, D-69012, Heidelberg, Germany
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75
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Otzen DE, Oliveberg M. Conformational plasticity in folding of the split beta-alpha-beta protein S6: evidence for burst-phase disruption of the native state. J Mol Biol 2002; 317:613-27. [PMID: 11955013 DOI: 10.1006/jmbi.2002.5423] [Citation(s) in RCA: 88] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
An increasing number of folding studies of two-state proteins shows that point mutations sometimes change the kinetic m-values, leading to kinks and curves in the chevron plots. The molecular origin of these changes is yet unclear although it is speculated that they are linked to structural rearrangement of the transition state or to accumulation of meta-stable intermediates. To shed more light on this issue, we present here a combined m and phi-value analysis of the split beta-alpha-beta protein S6. Wild-type S6 displays classical two-state kinetics with v-shaped chevron plot, but a majority of its mutants display distinct m-value changes or curved chevrons. We observe that this kinetic aberration of S6 is linked to mutations that are clustered in distinct regions of the native structure. The most pronounced changes, i.e. decrease in the m-value for the unfolding rate constant, are seen upon truncation of interactions between the N and C termini, whereas mutations in the centre of the hydrophobic core show smaller or even opposed effects. As a consequence, the calculated phi-values display a systematic increase upon addition of denaturant. In the case of S6, the phenomenon seems to arise from a general plasticity of the different species on the folding pathway. That is, the structure of the denatured ensemble, the transition state, and the native ground-state for unfolding seem to change upon mutation. From these changes, it is concluded that interactions spanning the centre of the hydrophobic core form early in folding, whereas the entropically disfavoured interactions linking the N and C termini consolidate very late, mainly on the down-hill-side of the folding barrier.
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Affiliation(s)
- Daniel E Otzen
- Department of Life Sciences, Aalborg University, Sohngaardsholmsvej 49, Aalborg, DK-9000, Denmark
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76
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Liu C, Gaspar JA, Wong HJ, Meiering EM. Conserved and nonconserved features of the folding pathway of hisactophilin, a beta-trefoil protein. Protein Sci 2002; 11:669-79. [PMID: 11847289 PMCID: PMC2373481 DOI: 10.1110/ps.31702] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Abstract
Based on previous studies of interleukin-1beta (IL-1beta) and both acidic and basic fibroblast growth factors (FGFs), it has been suggested that the folding of beta-trefoil proteins is intrinsically slow and may occur via the formation of essential intermediates. Using optical and NMR-detected quenched-flow hydrogen/deuterium exchange methods, we have measured the folding kinetics of hisactophilin, another beta-trefoil protein that has < 10% sequence identity and unrelated function to IL-1beta and FGFs. We find that hisactophilin can fold rapidly and with apparently two-state kinetics, except under the most stabilizing conditions investigated where there is evidence for formation of a folding intermediate. The hisactophilin intermediate has significant structural similarities to the IL-1beta intermediate that has been observed experimentally and predicted theoretically using a simple, topology-based folding model; however, it appears to be different from the folding intermediate observed experimentally for acidic FGF. For hisactophilin and acidic FGF, intermediates are much less prominent during folding than for IL-1beta. Considering the structures of the different beta-trefoil proteins, it appears that differences in nonconserved loops and hydrophobic interactions may play an important role in differential stabilization of the intermediates for these proteins.
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Affiliation(s)
- Chengsong Liu
- Guelph-Waterloo Centre for Graduate Work in Chemistry and Biochemistry, Department of Chemistry, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
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77
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Abstract
Experiment and simulation are now conspiring to give atomic-level descriptions of protein folding relevant to folding, misfolding, trafficking, and degradation in the cell. We are on the threshold of predicting those protein folding events using simulation that has been carefully benchmarked by experiment.
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Affiliation(s)
- Alan R Fersht
- Department of Chemistry, MRC Centre for Protein Engineering, University of Cambridge, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
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78
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Lattman EE, Draper DE. Review of the sixth Annual Johns Hopkins Folding Meeting. Proteins 2002; 46:237-42. [PMID: 11835498 DOI: 10.1002/prot.10023] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Eaton E Lattman
- Department of Biophysics, Johns Hopkins University, Baltimore, MD 21218, USA
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79
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Otzen DE, Oliveberg M. Burst-phase expansion of native protein prior to global unfolding in SDS. J Mol Biol 2002; 315:1231-40. [PMID: 11827490 DOI: 10.1006/jmbi.2001.5300] [Citation(s) in RCA: 62] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Although numerous studies have been directed at understanding early folding events through the characterization of folding intermediates, there are few reports on the very late folding events, i.e. on the events taking place on the native side of the folding barrier and on alternative conformations of the folded state. To shed further light on these issues, we have characterized by protein engineering the structure of an expanded but native-like intermediate that accumulates transiently in the unfolding reaction of the small protein S6 in the presence of SDS. The results show that the SDS micelles attack the native protein in the dead-time of the denaturation experiment, causing an expansion of the hydrophobic core prior to the major unfolding transition. We distinguish two forms of the unfolding intermediate that are correlated with the micellar structure. With spherical micelles, the expansion is seen mainly as a weakening of the interactions which anchor the two alpha-helices to the core of the S6 structure. With cylindrical micelles, prevalent at higher SDS concentrations, the expansion is more global and produces a species which closely resembles the transition-state structure for unfolding in GdmCl. Despite the highly weakened core, the micelle-associated intermediate displays cooperative unfolding, indicating a significant structural plasticity of the species on the native side of the folding barrier in the presence of SDS.
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Affiliation(s)
- Daniel E Otzen
- Department of Life Sciences, Aalborg University, Sohngaardsholmsvej 49, Aalborg, DK-9000, Sweden
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80
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Lindberg MO, Tångrot J, Otzen DE, Dolgikh DA, Finkelstein AV, Oliveberg M. Folding of circular permutants with decreased contact order: general trend balanced by protein stability. J Mol Biol 2001; 314:891-900. [PMID: 11734005 DOI: 10.1006/jmbi.2001.5186] [Citation(s) in RCA: 50] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
To examine the influence of contact order and stability on the refolding rate constant for two-state proteins, we have analysed the folding kinetics of the small beta-alpha-beta protein S6 and two of its circular permutants with relative contact orders of 0.19, 0.15 and 0.12. Data reveal a small but significant increase of the refolding rate constant (log k(f)) with decreasing contact order. At the same time, the decreased contact order is correlated to losses in global stability and alterations of the folding nucleus. When the differences in stability are accounted for by addition of Na2SO4 or by comparison of the folding kinetics at the transition mid-point, the dependence between log k(f) and contact order becomes stronger and follows the general correlation for two-state proteins. The observation emphasizes the combined action of topology and stability in controlling the rate constant of protein folding.
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Affiliation(s)
- M O Lindberg
- Department of Biochemistry, Umeå University, Umeå, S-901 87, Sweden
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81
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Gorski SA, Capaldi AP, Kleanthous C, Radford SE. Acidic conditions stabilise intermediates populated during the folding of Im7 and Im9. J Mol Biol 2001; 312:849-63. [PMID: 11575937 DOI: 10.1006/jmbi.2001.5001] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
The helical bacterial immunity proteins Im7 and Im9 have been shown to fold via kinetic mechanisms of differing complexity, despite having 60 % sequence identity. At pH 7.0 and 10 degrees C, Im7 folds in a three-state mechanism involving an on-pathway intermediate, while Im9 folds in an apparent two-state transition. In order to examine the folding mechanisms of these proteins in more detail, the folding kinetics of both Im7 and Im9 (at 10 degrees C in 0.4 M sodium sulphate) have been examined as a function of pH. Kinetic modelling of the folding and unfolding data for Im7 between pH 5.0 and 8.0 shows that the on-pathway intermediate is stabilised by more acidic conditions, whilst the native state is destabilised. The opposing effect of pH on the stability of these states results in a significant population of the intermediate at equilibrium at pH 6.0 and below. At pH 7.0, the folding and unfolding kinetics for Im9 can be fitted adequately by a two-state model, in accord with previous results. However, under acidic conditions there is a clear change of slope in the plot of the logarithm of the folding rate constant versus denaturant concentration, consistent with the population of one or more intermediate(s) early during folding. The kinetic data for Im9 at these pH values can be fitted to a three-state model, where the intermediate ensemble is stabilised and the native state destabilised as the pH is reduced, rationalising previous results that showed that an intermediate is not observed experimentally at pH 7.0. The data suggest that intermediate formation is a general step in immunity protein folding and demonstrate that it is necessary to explore a wide range of refolding conditions in order to show that intermediates do not form in the folding of other small, single-domain proteins.
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Affiliation(s)
- S A Gorski
- School of Biochemistry and Molecular Biology, University of Leeds, Leeds LS2 9JT, UK
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