Structure Propensity Research Articles

Effect of Neighbouring Residues in Conformational Plasticity of Intrinsically Disordered Proteins

Effect of neighbouring residues in conformational plasticity of intrinsically disordered regions. The concept of unstructured proteins has opened new avenues in the field of structural biology. Intrinsically disordered proteins (IDPs) are the new class of proteins which have been found to be a major player in many significant cellular functions. IDPs have been characterised by its physicochemical properties as well as its molecular interaction behaviour. Detailed study of IDPs can lead to a better understanding of protein folding and its functioning. To understand the source of disorderedness in the disordered regions (IDRs) in IDPs, we studied how the sequence environment of a disordered region correlates to its randomness. Here, we analysed the physicochemical and structural features like amino acid propensities, net charge, hydropathy index, secondary structure propensity, relative surface accessibility, interaction density and H-bonds to characterise the neighbours of the IDRs. Five residues, each towards N and C terminal of the disordered region are considered as the neighbours of IDRs. These neighbouring residues are found to be enriched in disorder promoting amino acids and have higher propensity to form loops than other secondary structures. Solvent accessibility of neighbouring residues also showed increasing trend as we move towards the IDRs. The variation of other parameters along with the above observation indicates that the neighbouring residues of IDRs induce a degree of flexibility to the adjoining IDRs. Based on our findings, we are designing an algorithm using random forest, which shall predict the disordered region based on its neighbouring sequences. The information on IDRs and its neighbours can be useful for proteins to be expressed or characterised for the first time. It can also provide a lead in understanding the molecular mechanism behind the polymorphic interactions that are involved with IDPs.

Effects of igneous intrusions on the structure and spontaneous combustion propensity of coal: A case study of bituminous coal in Daxing Mine, China

An investigation of the effects of igneous intrusions on the physicochemical structure and spontaneous combustion characteristics of coal is important for safe production in coal mines. In this study, unaltered coal and thermally-altered coal affected by igneous intrusions were collected from Daxing Mine. The mineral and ash composition, surface functional groups, surface morphology and pore structure were characterized by XRD, XPS, SEM, N2 adsorption and mercury intrusion porosimetry. The spontaneous combustion propensity of coal samples was investigated using oxidation kinetics experiment. Mineral and ash composition analysis revealed that igneous intrusions increased the relative contents of calcite and CaO in the thermally-altered coal. The results of XPS tests indicated that the content of CC/CH slightly increased and an obvious π − π∗ shake-up satellite peak appeared in the thermally-altered coal, but that the contents of CO, CO, and COO showed a decreasing trend. Compared with the pore structure of the unaltered coal, higher porosity, larger pore volume, and larger average pore diameter were found in the thermally-altered coal. Moreover, more pores with diameter >20 nm were formed due to igneous intrusions, which would improve the transport capacity of O2 in pores to react with active sites on pore surfaces in the thermally-altered coal. Moreover, igneous intrusions increased the O2 consumption rate of the thermally-altered coal, and decreased its crossing point temperature and spontaneous combustion propensity evaluating index I. This study concluded that igneous intrusions improved the spontaneous combustion risk of Daxing bituminous coal.

Effect of an Imposed Contact on Secondary Structure in the Denatured State of Yeast Iso-1-cytochrome c.

There is considerable evidence that long-range interactions stabilize residual protein structure under denaturing conditions. However, evaluation of the effect of a specific contact on structure in the denatured state has been difficult. Iso-1-cytochrome c variants with a Lys54 → His mutation form a particularly stable His-heme loop in the denatured state, suggestive of loop-induced residual structure. We have used multidimensional nuclear magnetic resonance methods to assign 1H and 15N backbone amide and 13C backbone and side chain chemical shifts in the denatured state of iso-1-cytochrome c carrying the Lys54 → His mutation in 3 and 6 M guanidine hydrochloride and at both pH 6.4, where the His54-heme loop is formed, and pH 3.6, where the His54-heme loop is broken. Using the secondary structure propensity score, with the 6 M guanidine hydrochloride chemical shift data as a random coil reference state for data collected in 3 M guanidine hydrochloride, we found residual helical structure in the denatured state for the 60s helix and the C-terminal helix, but not in the N-terminal helix in the presence or absence of the His54-heme loop. Non-native helical structure is observed in two regions that form Ω-loops in the native state. There is more residual helical structure in the C-terminal helix at pH 6.4 when the loop is formed. Loop formation also appears to stabilize helical structure near His54, consistent with induction of helical structure observed when His-heme bonds form in heme-peptide model systems. The results are discussed in the context of the folding mechanism of cytochrome c.

Increasing susceptibility to oxidative stress by cataract-causing crystallin mutations

Cataract, a crystallin protein aggregation disease, is the leading cause of human blindness worldwide. Congenital cataract may be induced by many factors and genetic disorders accounts for about half of the cases. Inherited mutations can promote cataract formation by affecting crystallin structure, solubility, stability, protein interactions and aggregatory propensity. In this research, we investigated the potential role of oxidative damage in congenital cataracts caused by six mutations in γC- and γD-crystallins, the predominant structural proteins in the lens. H2O2 treatment induced structural changes for both the wild type and mutated proteins. Oxidization by H2O2 or UV light facilitated protein oligomerization and thermal aggregation. H2O2 treatment promoted thermal aggregation of all proteins. By increasing the susceptibility, cataract-causing mutations amplified the deleterious effects of oxidative damage. Our results suggested that oxidative damage might play an important role in the onset and/or progression of congenital cataract caused by both Cys and non-Cys substitutions.

Amino acid repeats avert mRNA folding through conservative substitutions and synonymous codons, regardless of codon bias

A significant number of proteins in all living species contains amino acid repeats (AARs) of various lengths and compositions, many of which play important roles in protein structure and function. Here, I have surveyed select homopolymeric single [(A)n] and double [(AB)n] AARs in the human proteome. A close examination of their codon pattern and analysis of RNA structure propensity led to the following set of empirical rules: (1) One class of amino acid repeats (Class I) uses a mixture of synonymous codons, some of which approximate the codon bias ratio in the overall human proteome; (2) The second class (Class II) disregards the codon bias ratio, and appears to have originated by simple repetition of the same codon (or just a few codons); and finally, (3) In all AARs (including Class I, Class II, and the in-betweens), the codons are chosen in a manner that precludes the formation of RNA secondary structure. It appears that the AAR genes have evolved by orchestrating a balance between codon usage and mRNA secondary structure. The insights gained here should provide a better understanding of AAR evolution and may assist in designing synthetic genes.

Making fair comparisons in pregnancy medication safety studies: An overview of advanced methods for confounding control.

Understanding the safety of medication use during pregnancy relies on observational studies: However, confounding in observational studies poses a threat to the validity of estimates obtained from observational data. Newer methods, such as marginal structural models and propensity calibration, have emerged to deal with complex confounding problems, but these methods have seen limited uptake in the pregnancy medication literature. In this article, we provide an overview of newer advanced methods for confounding control and show how these methods are relevant for pregnancy medication safety studies.

Nonexponential Kinetics of Loop Formation in Proteins and Peptides: A Signature of Rugged Free Energy Landscapes?

The kinetics of loop formation, i.e., the occurrence of contact between two atoms of a polypeptide, remains the focus of continuing interest. One of the reasons is that contact formation is the elementary event underlying processes such as folding and binding. More importantly, it is experimentally measurable and can be predicted theoretically for ideal polymers. Deviations from single exponential kinetics have sometimes been interpreted as a signature of rugged, protein-like, free energy landscapes. Here we present simulations, with different atomistic models, of short peptides with varied structural propensity, and of a structured protein. Results show exponential contact formation kinetics (or relaxation) at long times, and a power law relaxation at very short times. At intermediate times, a deviation from either power law or simple exponential kinetics is observed that appears to be characteristic of polypeptides with either specific or nonspecific attractive interactions but disappears if attractive interactions are absent. Our results agree with recent experimental measurements on peptides and proteins and offer a comprehensive interpretation for them.

Structural and hydrodynamic properties of an intrinsically disordered region of a germ cell-specific protein on phase separation

Membrane encapsulation is frequently used by the cell to sequester biomolecules and compartmentalize their function. Cells also concentrate molecules into phase-separated protein or protein/nucleic acid "membraneless organelles" that regulate a host of biochemical processes. Here, we use solution NMR spectroscopy to study phase-separated droplets formed from the intrinsically disordered N-terminal 236 residues of the germ-granule protein Ddx4. We show that the protein within the concentrated phase of phase-separated Ddx4, [Formula: see text], diffuses as a particle of 600-nm hydrodynamic radius dissolved in water. However, NMR spectra reveal sharp resonances with chemical shifts showing [Formula: see text] to be intrinsically disordered. Spin relaxation measurements indicate that the backbone amides of [Formula: see text] have significant mobility, explaining why high-resolution spectra are observed, but motion is reduced compared with an equivalently concentrated nonphase-separating control. Observation of a network of interchain interactions, as established by NOE spectroscopy, shows the importance of Phe and Arg interactions in driving the phase separation of Ddx4, while the salt dependence of both low- and high-concentration regions of phase diagrams establishes an important role for electrostatic interactions. The diffusion of a series of small probes and the compact but disordered 4E binding protein 2 (4E-BP2) protein in [Formula: see text] are explained by an excluded volume effect, similar to that found for globular protein solvents. No changes in structural propensities of 4E-BP2 dissolved in [Formula: see text] are observed, while changes to DNA and RNA molecules have been reported, highlighting the diverse roles that proteinaceous solvents play in dictating the properties of dissolved solutes.

The LC8 Recognition Motif Preferentially Samples Polyproline II Structure in Its Free State.

LC8 is a ubiquitous hub protein that binds intrinsically disordered proteins and promotes their assembly into higher-order complexes. A common feature among the more than 100 essential LC8 binding proteins is that in the 10-12-amino acid recognition sequence there is a conserved QT motif but variable amino acids N- and C-terminal to the QT pair. The sequence diversity among LC8 binding partners implies that structural factors also contribute to specificity. To investigate whether one such factor is the transient secondary structure favored by an LC8 binding sequence, we report here a molecular ensemble description of ICTL, a domain of the dynein intermediate chain that includes binding sites for light chains LC8 and Tctex1. Nuclear magnetic resonance secondary chemical shifts and residual dipolar coupling values combined with ensemble generation and selection algorithms indicate a deviation from statistical (random) coil behavior with an elevated population of polyproline II (PPII) conformations for the ICTL regions that bind LC8 and Tctex1. Independent measurements of one- and three-bond scalar couplings confirm the PPII transient secondary structure propensity. Given that in the IC/Tctex1/LC8 ternary complex ICTL forms a β-strand at the interface of Tctex1 and LC8, we hypothesize that a PPII conformation may facilitate its initial docking and insertion into the binding cleft of the β-sheet LC8 dimer interface. Molecular ensemble calculations for intrinsically disordered LC8 binding partners also reveal PPII conformational sampling within and proximate to the LC8 recognition motifs, suggesting that a preference for a PPII conformation is general for LC8 binding partners.

Exploring the Sequence-based Prediction of Folding Initiation Sites in Proteins

Protein folding is a complex process that can lead to disease when it fails. Especially poorly understood are the very early stages of protein folding, which are likely defined by intrinsic local interactions between amino acids close to each other in the protein sequence. We here present EFoldMine, a method that predicts, from the primary amino acid sequence of a protein, which amino acids are likely involved in early folding events. The method is based on early folding data from hydrogen deuterium exchange (HDX) data from NMR pulsed labelling experiments, and uses backbone and sidechain dynamics as well as secondary structure propensities as features. The EFoldMine predictions give insights into the folding process, as illustrated by a qualitative comparison with independent experimental observations. Furthermore, on a quantitative proteome scale, the predicted early folding residues tend to become the residues that interact the most in the folded structure, and they are often residues that display evolutionary covariation. The connection of the EFoldMine predictions with both folding pathway data and the folded protein structure suggests that the initial statistical behavior of the protein chain with respect to local structure formation has a lasting effect on its subsequent states.

Deciphering the Fluorine Code-The Many Hats Fluorine Wears in a Protein Environment.

Deciphering the fluorine code is how we describe not only the focus of this Account, but also the systematic approach to studying the impact of fluorine's incorporation on the properties of peptides and proteins used by our groups and others. The introduction of fluorine has been shown to impart favorable, but seldom predictable, properties to peptides and proteins, but up until about two decades ago the outcomes of fluorine modification of peptides and proteins were largely left to chance. Driven by the motivation to extend the application of the unique properties of the element fluorine from medicinal and agro chemistry to peptide and protein engineering we have established extensive research programs that enable the systematic investigation of effects that accompany the introduction of fluorine into this class of biopolymers. The introduction of fluorine into amino acids offers a universe of options for modifications with regard to number and position of fluorine substituents in the amino acid side chain. Moreover, it is important to emphasize that the consequences of incorporating the C-F bond into a biopolymer can be attributed to two distinct yet related phenomena: (i) the fluorine substituent can directly engage in intermolecular interactions with its environment and/or (ii) the other functional groups present in the molecule can be influenced by the electron withdrawing nature of this element (intramolecular) and in turn interact differently with their immediate environment (intermolecular). Based on our studies, we have shown that a change in number and/or position of as subtle as one single fluorine substituent has the power to considerably modify key properties of amino acids such as hydrophobicity, polarity, and secondary structure propensity. These properties are crucial factors in peptide and protein engineering, and thus, fluorinated amino acids can be applied to fine-tune properties such as protein folding, proteolytic stability, and protein-protein interactions provided we understand and become able to predict the outcome of a fluorine substitution in this context. With this Account, we attempt to analyze information we gained from our recent projects on how the nature of the fluorine atom and C-F bond influence four key properties of peptides and proteins: peptide folding, protein-protein interactions, ribosomal translation, and protease stability. These results impressively show why the introduction of fluorine creates a new class of amino acids with a repertoire of functionalities that is unique to the world of proteins and in some cases orthogonal to the set of canonical and natural amino acids. Our concluding statements aim to offer a few conserved design principles that have emerged from systematic studies over the last two decades; in this way, we hope to advance the field of peptide and protein engineering based on the judicious introduction of fluorinated building blocks.

Mass & secondary structure propensity of amino acids explain their mutability and evolutionary replacements

Why is an amino acid replacement in a protein accepted during evolution? The answer given by bioinformatics relies on the frequency of change of each amino acid by another one and the propensity of each to remain unchanged. We propose that these replacement rules are recoverable from the secondary structural trends of amino acids. A distance measure between high-resolution Ramachandran distributions reveals that structurally similar residues coincide with those found in substitution matrices such as BLOSUM: Asn ↔ Asp, Phe ↔ Tyr, Lys ↔ Arg, Gln ↔ Glu, Ile ↔ Val, Met → Leu; with Ala, Cys, His, Gly, Ser, Pro, and Thr, as structurally idiosyncratic residues. We also found a high average correlation (overline{R} = 0.85) between thirty amino acid mutability scales and the mutational inertia (IX), which measures the energetic cost weighted by the number of observations at the most probable amino acid conformation. These results indicate that amino acid substitutions follow two optimally-efficient principles: (a) amino acids interchangeability privileges their secondary structural similarity, and (b) the amino acid mutability depends directly on its biosynthetic energy cost, and inversely with its frequency. These two principles are the underlying rules governing the observed amino acid substitutions.

Eukaryotic transcription factors: paradigms of protein intrinsic disorder.

Gene-specific transcription factors (TFs) are key regulatory components of signaling pathways, controlling, for example, cell growth, development, and stress responses. Their biological functions are determined by their molecular structures, as exemplified by their structured DNA-binding domains targeting specific cis-acting elements in genes, and by the significant lack of fixed tertiary structure in their extensive intrinsically disordered regions. Recent research in protein intrinsic disorder (ID) has changed our understanding of transcriptional activation domains from 'negative noodles' to ID regions with function-related, short sequence motifs and molecular recognition features with structural propensities. This review focuses on molecular aspects of TFs, which represent paradigms of ID-related features. Through specific examples, we review how the ID-associated flexibility of TFs enables them to participate in large interactomes, how they use only a few hydrophobic residues, short sequence motifs, prestructured motifs, and coupled folding and binding for their interactions with co-activators, and how their accessibility to post-translational modification affects their interactions. It is furthermore emphasized how classic biochemical concepts like allostery, conformational selection, induced fit, and feedback regulation are undergoing a revival with the appreciation of ID. The review also describes the most recent advances based on computational simulations of ID-based interaction mechanisms and structural analysis of ID in the context of full-length TFs and suggests future directions for research in TF ID.

Human cyclophilin 40 unravels neurotoxic amyloids.

The accumulation of amyloidogenic proteins is a pathological hallmark of neurodegenerative disorders. The aberrant accumulation of the microtubule associating protein tau (MAPT, tau) into toxic oligomers and amyloid deposits is a primary pathology in tauopathies, the most common of which is Alzheimer’s disease (AD). Intrinsically disordered proteins, like tau, are enriched with proline residues that regulate both secondary structure and aggregation propensity. The orientation of proline residues is regulated by cis/trans peptidyl-prolyl isomerases (PPIases). Here we show that cyclophilin 40 (CyP40), a PPIase, dissolves tau amyloids in vitro. Additionally, CyP40 ameliorated silver-positive and oligomeric tau species in a mouse model of tau accumulation, preserving neuronal health and cognition. Nuclear magnetic resonance (NMR) revealed that CyP40 interacts with tau at sites rich in proline residues. CyP40 was also able to interact with and disaggregate other aggregating proteins that contain prolines. Moreover, CyP40 lacking PPIase activity prevented its capacity for disaggregation in vitro. Finally, we describe a unique structural property of CyP40 that may permit disaggregation to occur in an energy-independent manner. This study identifies a novel human protein disaggregase and, for the first time, demonstrates its capacity to dissolve intracellular amyloids.

Inducing protein aggregation by extensional flow

Relative to other extrinsic factors, the effects of hydrodynamic flow fields on protein stability and conformation remain poorly understood. Flow-induced protein remodeling and/or aggregation is observed both in Nature and during the large-scale industrial manufacture of proteins. Despite its ubiquity, the relationships between the type and magnitude of hydrodynamic flow, a protein's structure and stability, and the resultant aggregation propensity are unclear. Here, we assess the effects of a defined and quantified flow field dominated by extensional flow on the aggregation of BSA, β2-microglobulin (β2m), granulocyte colony stimulating factor (G-CSF), and three monoclonal antibodies (mAbs). We show that the device induces protein aggregation after exposure to an extensional flow field for 0.36-1.8 ms, at concentrations as low as 0.5 mg mL-1 In addition, we reveal that the extent of aggregation depends on the applied strain rate and the concentration, structural scaffold, and sequence of the protein. Finally we demonstrate the in situ labeling of a buried cysteine residue in BSA during extensional stress. Together, these data indicate that an extensional flow readily unfolds thermodynamically and kinetically stable proteins, exposing previously sequestered sequences whose aggregation propensity determines the probability and extent of aggregation.

Fragment-Based NMR Study of the Conformational Dynamics in the bHLH Transcription Factor Ascl1

The Achaete-scute homolog 1 (Ascl1) protein regulates a large subset of genes that leads neuronal progenitor cells to distinctive differentiation pathways during human brain development. Although it is well known that Ascl1 binds DNA as a homo- or heterodimer via its basic helix-loop-helix (bHLH) motif, little is known about the conformational sampling properties of the DNA-free full-length protein, and in particular about the bHLH domain-flanking N- and C-terminal segments, which are predicted to be highly disordered in solution. The structural heterogeneity, low solubility, and high aggregation propensity of Ascl1 in aqueous buffer solutions make high-resolution studies of this protein a challenging task. Here, we have adopted a fragment-based strategy that allowed us to obtain high-quality NMR data providing, to our knowledge, the first comprehensive high-resolution information on the structural propensities and conformational dynamics of Ascl1. The emerging picture is that of an overall extended and highly dynamic polypeptide chain comprising three helical segments and lacking persistent long-range interactions. We also show that the C-terminal helix of the bHLH domain is involved in intermolecular interactions, even in the absence of DNA. Our results contribute to a better understanding of the mechanisms of action that govern the regulation of proneural transcription factors.

Impact of the amino acid sequence on the conformation of side chain lactam-bridged octapeptides.

Synthetic helical peptides are valuable scaffolds for the development of modulators of protein-protein interactions involving helical motifs. Backbone-to-side chain or side chain-to-side chain constraints have been and still are intensively exploited to stabilize short α-helices. Very often, these constraints have been combined with backbone modifications induced by Cα-tetrasubstituted, β-, or γ-amino acids, which facilitate the α-peptide or α/β/γ-peptide adopting an α-helical conformation. In this work, we investigated the helical character of octapeptides that were cyclized by a Lys-Asp-(i,i+4)-lactam bridge. We started with two sequences extracted from the helix-loop-helix region of the Id proteins, which are inhibitors of cell differentiation during development and in cancer. Nineteen analogs containing the lactam bridge at different positions and displaying different amino acid core triads (i+1,2,3) as well as outer residues were prepared by solid-phase methodology. Their conformation in water and water/2,2,2-trifluoroethanol mixtures was investigated by circular dichroism (CD) spectroscopy. The cyclopeptides could be grouped in helix-prone and non-helix-prone structures. Both the amino acid core triad (i+1,2,3) and the pendant residues positively or negatively affected the formation of a helical structure. Computational studies based on the NMR-derived helical structure of a cyclopeptide containing Aib at position (i+2) of the triad were generally in agreement with the secondary structure propensity of the cyclopeptides observed by CD spectroscopy. In conclusion, the Lys-Asp-(i,i+4)-lactam bridge may succeed or fail in the stabilization of short helices, depending on the primary structure. Moreover, computational methods may be valuable tools to discriminate helix-prone from non-helix-prone peptide-based macrolactams. Copyright © 2017 European Peptide Society and John Wiley & Sons, Ltd.

A Combined NMR and SAXS Analysis of the Partially Folded Cataract-Associated V75D γD-Crystallin

A cataract is a pathological condition characterized by the clouding of the normally clear eye lens brought about by deposition of crystallin proteins in the lens fiber cells. These protein aggregates reduce visual acuity by scattering or blocking incoming light. Chemical damage to proteins of the crystallin family, accumulated over a lifetime, leads to age-related cataract, whereas inherited mutations are associated with congenital or early-onset cataract. The V75D mutant of γD-crystallin is associated with congenital cataract in mice and was previously shown to un/fold via a partially folded intermediate. Here, we structurally characterized the stable equilibrium urea unfolding intermediate of V75D at the ensemble level using solution NMR and small-angle x-ray scattering. Our data show that, in the intermediate, the C-terminal domain retains a folded conformation that is similar to the native wild-type protein, whereas the N-terminal domain is unfolded and comprises an ensemble of random conformers, without any detectable residual structural propensities.

Structure and Self-Assembly of Elastin-Like Peptides: A Joint Molecular Dynamics and NMR Study

Elastin endows tissues such as skin, arterial walls, lung alveoli, and the uterus with extensibility and elasticity. Elastin and elastin-like peptides self-aggregate via a liquid-liquid phase separation process. Although elastin has been the object of biophysical investigation for over eighty years, the structural basis for the self-assembly and the mechanical properties of elastin remains controversial. Elastin is structurally heterogeneous and must be described by an ensemble of structures. As an essential step towards elucidating the structural ensemble of elastin, we combine molecular dynamics simulations and nuclear magnetic resonance (NMR) spectroscopy to study an elastin-like peptide modelled after the sequence of alternating hydrophobic and cross-linking domains of elastin. We perform extensive all-atom molecular dynamics simulations totalling hundreds of microseconds and obtain detailed structural and dynamic data by NMR on the same peptide sequences under the same thermodynamic conditions. Simulation and NMR results are in excellent agreement and show that although the peptide is highly disordered, it possesses a significant propensity for secondary structure. The cross-linking domains are characterized by fluctuating helical structure, whereas the hydrophobic domains adopt fluctuating hydrogen-bonded turns. The latter secondary structure elements are sparse, local, and transient. As a result, the individual domains do not form extensive interactions; they are collapsed but not compact, and they remain disordered and hydrated despite their predominantly hydrophobic character. Taken together, these findings resolve long-standing discrepancies between previous models of the structure and function of elastin. Importantly, these results also afford unprecedented insight into the physical and structural basis for the liquid-liquid phase separation of disordered proteins.

Locally favoured structures and dynamic length scales in a simple glass-former

We investigate the static and dynamic properties of a weakly polydisperse hard sphere system in the deeply supercooled state, i.e. at densities higher than that corresponding to the mode-coupling transition. The structural analysis reveals the emergence of icosahedral locally favoured structures, previously only found in trace quantities. We present a new approach to probe the shape of dynamically heterogeneous regions, which is insensitive to particle packing effects that can hamper such analysis. Our results indicate that the shape of the dynamically heterogeneous regions changes only weakly and moreover hint that the often-used four-point correlation length may exhibit a growth in excess of that which our method identifies. The growth of the size of the dynamically heterogeneous regions appears instead to be in line with the one of structural and dynamic propensity correlations.