The dynamical response of hen egg white lysozyme to the binding of a carbohydrate ligand

It has become clear that the binding of small and large ligands to proteins can invoke significant changes in side chain and main chain motion in the fast picosecond to nanosecond timescale. Recently, the use of a "dynamical proxy" has indicated that changes in these motions often reflect significant changes in conformational entropy. These entropic contributions are sometimes of the same order as the total entropy of binding. Thus, it is important to understand the connections amongst motion between the manifold of states accessible to the native state of proteins, the corresponding entropy, and how this impacts the overall energetics of protein function. The interaction of proteins with carbohydrate ligands is central to a range of biological functions. Here, we examine a classic carbohydrate interaction with an enzyme: the binding of wild-type hen egg white lysozyme (HEWL) to the natural, competitive inhibitor chitotriose. Using NMR relaxation experiments, backbone amide and side chain methyl axial order parameters were obtained across apo and chitotriose-bound HEWL. Upon binding, changes in the apparent amplitude of picosecond to nanosecond main chain and side chain motions are seen across the protein. Indeed, binding of chitotriose renders a large contiguous fraction of HEWL effectively completely rigid. Changes in methyl flexibility are most pronounced closest to the binding site, but average to only a small overall change in the dynamics across the protein. The corresponding change in conformational entropy is unfavorable and estimated to be a significant fraction of the total binding entropy.     

The Role of Conformational Dynamics and Allostery in the Disease Development of Human Ferritin

Determining the three-dimensional structure of myoglobin, the first solved structure of a protein, fundamentally changed the way protein function was understood. Even more revolutionary was the information that came afterward: protein dynamics play a critical role in biological functions. Therefore, understanding conformational dynamics is crucial to obtaining a more complete picture of protein evolution. We recently analyzed the evolution of different protein families including green fluorescent proteins (GFPs), β-lactamase inhibitors, and nuclear receptors, and we observed that the alteration of conformational dynamics through allosteric regulation leads to functional changes. Moreover, proteome-wide conformational dynamics analysis of more than 100 human proteins showed that mutations occurring at rigid residue positions are more susceptible to disease than flexible residue positions. These studies suggest that disease-associated mutations may impair dynamic allosteric regulations, leading to loss of function. Thus, in this study, we analyzed the conformational dynamics of the wild-type light chain subunit of human ferritin protein along with the neutral and disease forms. We first performed replica exchange molecular dynamics simulations of wild-type and mutants to obtain equilibrated dynamics and then used perturbation response scanning (PRS), where we introduced a random Brownian kick to a position and computed the fluctuation response of the chain using linear response theory. Using this approach, we computed the dynamic flexibility index (DFI) for each position in the chain for the wild-type and the mutants. DFI quantifies the resilience of a position to a perturbation and provides a flexibility/rigidity measurement for a given position in the chain. The DFI analysis reveals that neutral variants and the wild-type exhibit similar flexibility profiles in which experimentally determined functionally critical sites act as hinges in controlling the overall motion. However, disease mutations alter the conformational dynamic profile, making hinges more loose (i.e., softening the hinges), thus impairing the allosterically regulated dynamics.     

The Role of Conformational Dynamics and Allostery in the Disease Development of Human Ferritin

Determining the three-dimensional structure of myoglobin, the first solved structure of a protein, fundamentally changed the way protein function was understood. Even more revolutionary was the information that came afterward: protein dynamics play a critical role in biological functions. Therefore, understanding conformational dynamics is crucial to obtaining a more complete picture of protein evolution. We recently analyzed the evolution of different protein families including green fluorescent proteins (GFPs), β-lactamase inhibitors, and nuclear receptors, and we observed that the alteration of conformational dynamics through allosteric regulation leads to functional changes. Moreover, proteome-wide conformational dynamics analysis of more than 100 human proteins showed that mutations occurring at rigid residue positions are more susceptible to disease than flexible residue positions. These studies suggest that disease-associated mutations may impair dynamic allosteric regulations, leading to loss of function. Thus, in this study, we analyzed the conformational dynamics of the wild-type light chain subunit of human ferritin protein along with the neutral and disease forms. We first performed replica exchange molecular dynamics simulations of wild-type and mutants to obtain equilibrated dynamics and then used perturbation response scanning (PRS), where we introduced a random Brownian kick to a position and computed the fluctuation response of the chain using linear response theory. Using this approach, we computed the dynamic flexibility index (DFI) for each position in the chain for the wild-type and the mutants. DFI quantifies the resilience of a position to a perturbation and provides a flexibility/rigidity measurement for a given position in the chain. The DFI analysis reveals that neutral variants and the wild-type exhibit similar flexibility profiles in which experimentally determined functionally critical sites act as hinges in controlling the overall motion. However, disease mutations alter the conformational dynamic profile, making hinges more loose (i.e., softening the hinges), thus impairing the allosterically regulated dynamics.     

Allosteric Response and Substrate Sensitivity in Peptide Binding of the Signal Recognition Particle

We characterize the conformational dynamics and substrate selectivity of the signal recognition particle (SRP) using a thermodynamic free energy cycle approach and microsecond timescale molecular dynamics simulations. The SRP is a central component of the co-translational protein targeting machinery that binds to the N-terminal signal peptide (SP) of nascent proteins. We determined the shift in relative conformational stability of the SRP upon substrate binding to quantify allosteric coupling between SRP domains. In particular, for dipeptidyl aminopeptidase, an SP that is recognized by the SRP for co-translational targeting, it is found that substrate binding induces substantial changes in the SRP toward configurations associated with targeting of the nascent protein, and it is found that the changes are modestly enhanced by a mutation that increases the hydrophobicity of the SP. However, for alkaline phosphatase, an SP that is recognized for post-translational targeting, substrate binding induces the reverse change in the SRP conformational distribution away from targeting configurations. Microsecond timescale trajectories reveal the intrinsic flexibility of the SRP conformational landscape and provide insight into recent single molecule studies by illustrating that 10-nm lengthscale changes between FRET pairs occur via the rigid-body movement of SRP domains connected by the flexible linker region. In combination, these results provide direct evidence for the hypothesis that substrate-controlled conformational switching in the SRP provides a mechanism for discriminating between different SPs and for connecting substrate binding to downstream steps in the protein targeting pathway.     

Exploration of the activation pathway of Δα-Chymotrypsin with molecular dynamics simulations and correlation with kinetic experiments

Correlating the experimentally observed kinetics of protein conformational changes with theoretical predictions is a formidable and challenging task, due to the multitude of degrees of freedom (>5,000) in a protein and the huge gap between the timescale of the kinetic event of interest (ms) and the typical timescale of computer simulations (ns). In this study we show that using the targeted molecular dynamics (TMD) method it is possible to simulate conformational changes of the ms time range and to correlate multiple simulations of single pathways with ensemble experiments on both the structural and energetic basis. As a model system we chose to study the conformational change of rat-Δα-chymotrypsin from its inactive to its active conformation. This activation process has been analyzed previously by experimental and theoretical methods, i.e. fluorescence stopped-flow spectroscopy (FSF), molecular dynamics (MD) and TMD. Inspired by the results of these studies on the wild type (WT) enzyme, several mutants were constructed to alter the conformational pathway and studied by FSF measurements. In the present work WT and mutant N18G were subjected to multiple MD and subsequent TMD simulations. We report the existence of two main activation pathways, a feature of chymotrypsin activation that has been hitherto unknown. A method to correlate the energetics of the different pathways calculated by TMD and the kinetic parameters observed by experimental methods such as FSF is presented. Our work is relevant for experimental single molecule studies of enzymes in general. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Flap opening and dimer-interface flexibility in the free and inhibitor-bound HIV protease, and their implications for function.

BACKGROUND: (1)H and (15)N transverse relaxation measurements on perdeuterated proteins are ideally suited for detecting backbone conformational fluctuations on the millisecond-microsecond timescale. The identification of conformational exchange on this timescale by measuring the relaxation of both (1)H and (15)N holds great promise for the elucidation of functionally relevant conformational changes in proteins. RESULTS: We measured the transverse (1)H and (15)N relaxation rates of backbone amides of HIV-1 protease in its free and inhibitor-bound forms. An analysis of these rates, obtained as a function of the effective rotating frame field, provided information about the timescale of structural fluctuations in several regions of the protein. The flaps that cover the active site of the inhibitor-bound protein undergo significant changes of backbone (φ,psi) angles, on the 100 micros timescale, in the free protein. In addition, the intermonomer beta-sheet interface of the bound form, which from protease structure studies appears to be rigid, was found to fluctuate on the millisecond timescale. CONCLUSIONS: We present a working model of the flap-opening mechanism in free HIV-1 protease which involves a transition from a semi-open to an open conformation that is facilitated by interaction of the Phe53 ring with the substrate. We also identify a surprising fluctuation of the beta-sheet intermonomer interface that suggests a structural requirement for maturation of the protease. Thus, slow conformational fluctuations identified by (1)H and (15)N transverse relaxation measurements can be related to the biological functions of proteins.     

Coupling Protein Side-Chain and Backbone Flexibility Improves the Re-design of Protein-Ligand Specificity

Interactions between small molecules and proteins play critical roles in regulating and facilitating diverse biological functions, yet our ability to accurately re-engineer the specificity of these interactions using computational approaches has been limited. One main difficulty, in addition to inaccuracies in energy functions, is the exquisite sensitivity of protein–ligand interactions to subtle conformational changes, coupled with the computational problem of sampling the large conformational search space of degrees of freedom of ligands, amino acid side chains, and the protein backbone. Here, we describe two benchmarks for evaluating the accuracy of computational approaches for re-engineering protein-ligand interactions: (i) prediction of enzyme specificity altering mutations and (ii) prediction of sequence tolerance in ligand binding sites. After finding that current state-of-the-art “fixed backbone” design methods perform poorly on these tests, we develop a new “coupled moves” design method in the program Rosetta that couples changes to protein sequence with alterations in both protein side-chain and protein backbone conformations, and allows for changes in ligand rigid-body and torsion degrees of freedom. We show significantly increased accuracy in both predicting ligand specificity altering mutations and binding site sequences. These methodological improvements should be useful for many applications of protein – ligand design. The approach also provides insights into the role of subtle conformational adjustments that enable functional changes not only in engineering applications but also in natural protein evolution.     

Molecular dynamics simulation of class 3 aldehyde dehydrogenase

Molecular dynamics (MD) simulation of the rat class 3 aldehyde dehydrogenase (ALDH) with nicotinamide dinucleotide (NAD) cofactors and explicit water molecules are reported. Our results demonstrate that MD simulation using the latest methodologies can maintain the crystal structure of the enzyme, as well as closely reproduce the short timescale dynamics of the enzyme. Furthermore, the examination of the distance between the nucleophilic Cys-243 and the NAD cofactor reveal important fluctuations that could be linked to ALDH catalysis. Finally, our quantum mechanical model of benzaldehyde in the active site of ALDH demonstrates that the enzyme requires only minor conformational changes to be poised for nucleophilic attack on the substrate.     

Molecular dynamics simulation of class 3 aldehyde dehydrogenase

Molecular dynamics (MD) simulation of the rat class 3 aldehyde dehydrogenase (ALDH) with nicotinamide dinucleotide (NAD) cofactors and explicit water molecules are reported. Our results demonstrate that MD simulation using the latest methodologies can maintain the crystal structure of the enzyme, as well as closely reproduce the short timescale dynamics of the enzyme. Furthermore, the examination of the distance between the nucleophilic Cys-243 and the NAD cofactor reveal important fluctuations that could be linked to ALDH catalysis. Finally, our quantum mechanical model of benzaldehyde in the active site of ALDH demonstrates that the enzyme requires only minor conformational changes to be poised for nucleophilic attack on the substrate.     

Environmental Statistics and Optimal Regulation

Any organism is embedded in an environment that changes over time. The timescale for and statistics of environmental change, the precision with which the organism can detect its environment, and the costs and benefits of particular protein expression levels all will affect the suitability of different strategies–such as constitutive expression or graded response–for regulating protein levels in response to environmental inputs. We propose a general framework–here specifically applied to the enzymatic regulation of metabolism in response to changing concentrations of a basic nutrient–to predict the optimal regulatory strategy given the statistics of fluctuations in the environment and measurement apparatus, respectively, and the costs associated with enzyme production. We use this framework to address three fundamental questions: (i) when a cell should prefer thresholding to a graded response; (ii) when there is a fitness advantage to implementing a Bayesian decision rule; and (iii) when retaining memory of the past provides a selective advantage. We specifically find that: (i) relative convexity of enzyme expression cost and benefit influences the fitness of thresholding or graded responses; (ii) intermediate levels of measurement uncertainty call for a sophisticated Bayesian decision rule; and (iii) in dynamic contexts, intermediate levels of uncertainty call for retaining memory of the past. Statistical properties of the environment, such as variability and correlation times, set optimal biochemical parameters, such as thresholds and decay rates in signaling pathways. Our framework provides a theoretical basis for interpreting molecular signal processing algorithms and a classification scheme that organizes known regulatory strategies and may help conceptualize heretofore unknown ones.     

Single-molecule studies reveal method for tuning the heterogeneous activity of alkaline phosphatase

Single-molecule-enzymology (SME) methods have enabled the observation of heterogeneous catalytic activities within a single enzyme population. Heterogeneous activity is hypothesized to originate from conformational changes in the enzyme that result from changes in the local environment leading to catalytically active substates. Here, we use SME to investigate the mechanisms of heterogeneous activity exhibited by tissue nonspecific alkaline phosphatase (TNSALP), which reveals two subpopulations with different catalytic activities. We show the effect of pH and temperature on the distribution of TNSALP activity and confirm the presence of two subpopulations attributed to half- and fully active TNSALP substates. We provide mechanistic insight about protein structure using molecular dynamic simulations and show pH- and temperature-dependent conformational transitions that corroborate experimentally observed changes in TNSALP activity. These results show the utility of SME to understand heterogeneous enzyme activity and demonstrate a simple approach using pH and temperature to tune catalytic activity within an enzyme population.     

Spatial Structure Model of the CD4 Receptor-Binding Site of the HIV Envelope Protein gp120

Abstract

In this study we have undertaken attempt to predict 3D structure of the CD4 receptor-binding site of the HIV envelope protein gp120. The structure of this site has been constructed by the analysis of low-energy conformers of peptide T, an HIV reproduction inhibitor with amino acid sequence corresponding to the fragment Ala-Ser-Thr-Thr-Thr-Asn-Tyr-Thr of protein gp120, ensuring the interaction of virus with T4 lymphocytes. To do this, the following researches have been carried out: i) the spatial structure models of peptide T and similar fragment 4–11 of an analogues of vasoactive intestinal peptide have been modeled by the restrained molecular mechanics method developed earlier, ii) conformational parameters of these models have been compared to geometrical characteristics of homologous segments of unrelated proteins with known spatial structures. The following major conclusions have been made based on the comparative analysis: i) the conformation of C-terminal fragment Thr-Thr-Asn-Tyr-Thr of peptide T, responsible for the biological activity of the molecule, does not undergo the essential distortions while embedding into the peptide chains of unrelated proteins; ii) this conformation, that is realized in isolated molecule and includes two consecutive reverse turns of the polypeptide chain, adequately describes the main conformational features of an appropriate site of the HIV protein gp120; iii) the fragment Ala-Ser-Thr-Thr-Thr-Asn-Tyr-Thr of protein gp120 accepts one of six spatial forms which are characteristic for peptide T.     

Large-scale domain movements and hydration structure changes in the active-site cleft of unligated glutamate dehydrogenase from Thermococcus profundus studied by cryogenic X-ray crystal structure analysis and small-angle X-ray scattering

Here we describe the large-scale domain movements and hydration structure changes in the active-site cleft of unligated glutamate dehydrogenase. Glutamate dehydrogenase from Thermococcus profundus is composed of six identical subunits of M(r) 46K, each with two distinct domains of roughly equal size separated by a large active-site cleft. The enzyme in the unligated state was crystallized so that one hexamer occupied a crystallographic asymmetric unit, and the crystal structure of the hexamer was solved and refined at a resolution of 2.25 A with a crystallographic R-factor of 0.190. In that structure, the six subunits displayed significant conformational variations with respect to the orientations of the two domains. The variation was most likely explained as a hinge-bending motion caused by small changes in the main chain torsion angle of the residue composing a loop connecting the two domains. Small-angle X-ray scattering profiles both at 293 and 338 K suggested that the apparent molecular size of the hexamer was slightly larger in solution than in the crystalline state. These results led us to the conclusion that (i) the spontaneous domain motion was the property of the enzyme in solution, (ii) the domain motion was trapped in the crystallization process through different modes of crystal contacts, and (iii) the magnitude of the motion in solution was greater than that observed in the crystal structure. The present cryogenic diffraction experiment enabled us to identify 1931 hydration water molecules around the hexamer. The hydration structures around the subunits exhibited significant changes in accord with the degree of the domain movement. In particular, the hydration water molecules in the active-site cleft were rearranged markedly through migrations between specific hydration sites in coupling strongly with the domain movement. We discussed the cooperative dynamics between the domain motion and the hydration structure changes in the active site of the enzyme. The present study provides the first example of a visualized hydration structure varying transiently with the dynamic movements of enzymes and may form a new concept of the dynamics of multidomain enzymes in solution.     

Main chain and side chain dynamics of the ubiquitin conjugating enzyme variant human Mms2 in the free and ubiquitin-bound States

Protein ubiquitination involves a cascade of enzymatic steps where ubiquitin (Ub) is sequentially transferred as a thiolester intermediate from an E1 enzyme to an E2 enzyme and finally to the protein target with the help of a Ub-protein ligase. Protein ubiquitination brought about by the Ubc13-Mms2 (E2-E2) complex has a unique role in the cell, unrelated to protein degradation. The Mms2-Ubc13 heterodimer links Ub molecules to one another through an isopeptide bond between its own C-terminus and Lys-63 on another Ub. The role of Mms2 is to orient a target-bound Ub molecule such that its Lys-63 is proximal to the C-terminus of the Ub molecule that is covalently linked to the active site of Ubc13. To gain insight into the influence of protein dynamics on the affinity of Ub for Mms2, we have determined pico- to nanosecond time scale fluctuations of the main chain and methyl side chains of human Mms2 in the free and Ub-bound states using solution state (15)N and (2)H nuclear magnetic resonance relaxation measurements. Analysis of the relaxation data allows for a semiquantitative estimation of the conformational entropy change (TDeltaS(NMR)) for the main chain and side chain methyl groups of Mms2 upon binding Ub. The value of TDeltaS(NMR) for the main chain and side chain methyl groups of Mms2 is -8 +/- 2 and -2 +/- 2 kcal mol(-)(1), respectively. The experimental DeltaG(binding) for the Mms2.Ub complex is -6 kcal mol(-)(1). Estimation of DeltaG(binding) using an empirical structure-based approach that does not account for changes in main chain entropy yields a value of -17 +/- 2 kcal mol(-)(1). However, inclusion of TDeltaS(NMR) for the main chain of Mms2 increases the estimated DeltaG(binding) to -9 +/- 3 kcal mol(-)(1). Assuming that changes in Ub main chain dynamics contribute to TDeltaS(NMR) to the same extent as Mms2, the estimated DeltaG(binding) is further reduced to -1 +/- 4 kcal mol(-)(1), a value close to the experimental DeltaG(binding).     

Influence of the stability of a fused protein and its distance to the amyloidogenic segment on fibril formation

Conversion of native proteins into amyloid fibrils is irreversible and therefore it is difficult to study the interdependence of conformational stability and fibrillation by thermodynamic analyses. Here we approached this problem by fusing amyloidogenic poly-alanine segments derived from the N-terminal domain of the nuclear poly (A) binding protein PABPN1 with a well studied, reversibly unfolding protein, CspB from Bacillus subtilis. Earlier studies had indicated that CspB could maintain its folded structure in fibrils, when it was separated from the amyloidogenic segment by a long linker. When CspB is directly fused with the amyloidogenic segment, it unfolds because its N-terminal chain region becomes integrated into the fibrillar core, as shown by protease mapping experiments. Spacers of either 3 or 16 residues between CspB and the amyloidogenic segment were not sufficient to prevent this loss of CspB structure. Since the low thermodynamic stability of CspB (ΔG _D = 12.4 kJ/mol) might be responsible for unfolding and integration of CspB into fibrils, fusions with a CspB mutant with enhanced thermodynamic stability (ΔG _D = 26.9 kJ/mol) were studied. This strongly stabilized CspB remained folded and prevented fibril formation in all fusions. Our data show that the conformational stability of a linked, independently structured protein domain can control fibril formation.     

The lower limits for protein stability and foldability in primary hyperoxaluria type I

Mutational effects on protein stability and foldability are important to understand conformational diseases and protein evolution. In this work, we perform a comprehensive investigation on the energetic basis underlying mutational effects on the stability of human alanine:glyoxylate aminotransferase (AGT). We study twenty two variants whose kinetic stabilities span over eleven orders of magnitude and are classified into two groups: i) ten naturally-occurring variants, including the most common mutations causing primary hyperoxaluria type I (PH1); and ii) twelve consensus variants obtained by sequence-alignment statistics. We show that AGT dimer stability determines denaturation rates, and mutations modulate stability by changes in the effective thermodynamic stability, the aggregation propensity of partially/globally unfolded states and subtle energetic changes in the rate-limiting denaturation step. In combination with our previous expression analyses in eukaryotic cells, we propose the existence of two lower limits for AGT stability, one linked to optimal folding efficiency (close to the major allele stability) and the other setting a minimal efficiency compatible with glyoxylate detoxification in vivo (close to the minor allele stability). These lower limits could explain the high prevalence of misfolding as a disease mechanism in PH1 and support the use of pharmacological ligands aimed to increase AGT stability as therapies for this disease.     

Enhanced sampling protocol to elucidate fusion peptide opening of SARS-CoV-2 spike protein

Large-scale conformational transitions in the spike protein S2 domain are required during host-cell infection of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) virus. Although conventional molecular dynamics simulations have been extensively used to study therapeutic targets of SARS-CoV-2, it is still challenging to gain molecular insight into the key conformational changes because of the size of the spike protein and the long timescale required to capture these transitions. In this work, we have developed an efficient simulation protocol that leverages many short simulations, a dynamic selection algorithm, and Markov state models to interrogate the structural changes of the S2 domain. We discovered that the conformational flexibility of the dynamic region upstream of the fusion peptide in S2 is coupled to the proteolytic cleavage state of the spike protein. These results suggest that opening of the fusion peptide likely occurs on a submicrosecond timescale after cleavage at the S2′ site. Building on the structural and dynamical information gained to date about S2 domain dynamics, we provide proof of principle that a small molecule bound to a seam neighboring the fusion peptide can slow the opening of the fusion peptide, leading to a new inhibition strategy for experiments to confirm. In aggregate, these results will aid the development of drug cocktails to inhibit infections caused by SARS-CoV-2 and other coronaviruses.     

Raman microspectroscopic study of biomolecular structure inside living adhesive cells

Cells adhesion is very important for many physiological processes. Using advanced Raman microspectroscopic technique, we selected T Leukemia cells (Jurkat) as the materials and obtained simultaneously conformation information of various biomolecules inside the whole living cells. By comparing the Raman microspectroscopic spectra of single and adhesive cancer cells, we found for the first time that when cells adhered, the conformation of the biomolecules (DNA, protein, carbohydrates and lipids) inside the cells had different changes: (i) the backbone of double-stranded DNA maintained orderly B-form or modified B-form conformation, whereas the groups of its deoxyribose and bases were modified; (ii) the conformational changes of the main chain and the side chain in the protein were obviously variant. The lines intensity belonging to a-helix and p-sheet decreased, while that of p-turn increased. Tyrosine and tryptophane residues of the protein changed from "buried state" to "exposed state"; the lines intensi     

The dynamical contact order: Protein folding rate parameters based on quantum conformational transitions

Protein folding is regarded as a quantum transition between the torsion states of a polypeptide chain. According to the quantum theory of conformational dynamics, we propose the dynamical contact order (DCO) defined as a characteristic of the contact described by the moment of inertia and the torsion potential energy of the polypeptide chain between contact residues. Consequently, the protein folding rate can be quantitatively studied from the point of view of dynamics. By comparing theoretical calculations and experimental data on the folding rate of 80 proteins, we successfully validate the view that protein folding is a quantum conformational transition. We conclude that (i) a correlation between the protein folding rate and the contact inertial moment exists; (ii) multi-state protein folding can be regarded as a quantum conformational transition similar to that of two-state proteins but with an intermediate delay. We have estimated the order of magnitude of the time delay; (iii) folding can be classified into two types, exergonic and endergonic. Most of the two-state proteins with higher folding rate are exergonic and most of the multi-state proteins with low folding rate are endergonic. The folding speed limit is determined by exergonic folding.