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Biomedical subjects

L Zetta

Publications and source records attributed to L Zetta.

At least 19 recordsLinked to original sources

1H NMR spin-spin relaxation and imaging in porous systems: an application to the morphological study of white portland cement during hydration in the presence of organics.

Proton nuclear magnetic resonance (NMR) spin-spin relaxation and imaging have been applied to investigate white Portland cement pastes during hydration in the absence and in the presence of organic solvents. The main organic solvent investigated was methanol, alone or together with the organic waste 2-chloroaniline (2-CA), an aromatic amine representative of an important class of highly toxic compounds. For all the analysed samples, prepared with a solvent-to-cement ratio of 0.4, the decay of the echo magnetization has been fitted by adopting a model that combines an exponential component with a gaussian one. The calculated independent relaxation parameters have been discussed in terms of morphological and dynamical changes that occur during the cement hardening process and pore formation. Three kinds of water molecules: "solid-like" (chemically and physically bound), "liquid-like" (porous trapped) and "free" water, endowed with anisotropic, near isotropic and isotropic motion, respectively, were identified. Spin-echo images collected on the same samples during the hydration kinetics, allowed the changes of water and solvents spatial distribution in the porous network to be monitored, showing percolation phenomena and confirming the multimodal open channels structure of the hardened cement system. Both T(2) relaxation and imaging data indicated that a pronounced delay occurs in the cement hardening when organics are present.

Construction Materials↗

Anticarcinogenic Bowman Birk inhibitor isolated from snail medic seeds (Medicago scutellata): solution structure and analysis of self-association behavior.

The high-resolution three-dimensional structure of a Bowman Birk inhibitor, purified from snail medic seeds (Medicago scutellata) (MSTI), has been determined in solution by 1H NMR spectroscopy at pH 5.6 and 27 degrees C. The structure of MSTI comprises two distinct symmetric domains each composed of a three-stranded beta-sheet containing a VIb type loop, where the active sites are located. A characteristic geometry of three aromatic residues confers stability to this protein, and we observe that this feature is conserved in all the Bowman Birk inhibitors of known structure. The two active domains exhibit different conformational features: the second domain displays higher flexibility and hydrophobicity with respect to the first one, and these properties have been correlated to a lower trypsin inhibitory specificity, in agreement with titration studies that have shown a stoichiometric ratio MSTI:trypsin of 1:1.5. NMR analysis indicated that MSTI undergoes self-association at concentrations higher than 2 mM, and the residues involved in this mechanism are localized at opposite faces of the molecule, having the highest positive and negative potential, respectively, thus indicating that electrostatic intermolecular interactions are the driving forces for MSTI association. Most of the residues affected by self-association are highly conserved in BBIs from different seeds, suggesting a functional relevance for these charged superficial patches, possibly involved in the interaction with other enzymes or macromolecules, thus triggering anti-carcinogenic activity.

Amides↗

The Sso7d DNA-binding protein from Sulfolobus solfataricus has ribonuclease activity.

Sso7d is a small, basic, abundant protein from the thermoacidophilic archaeon Sulfolobus solfataricus. Previous research has shown that Sso7d can bind double-stranded DNA without sequence specificity by placing its triple-stranded beta-sheet across the minor groove. We previously found RNase activity both in preparations of Sso7d purified from its natural source and in recombinant, purified protein expressed in Escherichia coli. This paper provides conclusive evidence that supports the assignment of RNase activity to Sso7d, shown by the total absence of activity in the single-point mutants E35L and K12L, despite the preservation of their overall structure under the assay conditions. In keeping with our observation that the residues putatively involved in RNase activity and those playing a role in DNA binding are located on different surfaces of the molecule, the activity was not impaired in the presence of DNA. If a small synthetic RNA was used as a substrate, Sso7d attacked both predicted double- and single-stranded RNA stretches, with no evident preference for specific sequences or individual bases. Apparently, the more readily attacked bonds were those intrinsically more unstable.

Amino Acid Substitution↗

Magnetic resonance imaging of molecular transport in living morning glory stems.

MRI was applied to investigate the transport pathways in Morning Glory plant stems. The study was carried out on living plants without affecting their integrity. The architecture of a dicotyledonous plant was deeply characterized: the root system structure and the vascular bundle location were identified, the presence of central voids caused by cell maturation and loss were observed in the stem. Molecular transport components were recognized, by observing the concentration profile of a tracer, which changed with time after its absorption by the plant roots. MRI analysis revealed the presence of an axial transport as the progress of the tracer front through the vascular bundles and a radial molecular transport from the vascular bundles toward the surface of the stem. As a result, the tracer molecular transport formed the parabolic tracer front (PTF). A model was built up through the analysis of the PTF that consisted of an axial front at the peak position and a radial front at the width of the parabolic tail. PTF analysis revealed differences between the tracer transport velocities in the axial and the radial directions in the plant stem. The model revealed that the width of the parabolic tail reflected the magnitudes of diffusion and permeation of the tracer in the plant stem.

Biological Transport↗

Conformational analysis and stability of collagen peptides by CD and by 1H- and 13C-NMR spectroscopies.

Four small type I collagen CNBr peptides containing complete natural sequences were purified from bovine skin and investigated by CD and 1H- and 13C-nmr spectroscopies to obtain information concerning their conformation and thermal stability. CD showed that a triple helix was formed at 10 degrees C in acidic aqueous solution by peptide alpha l(I) CB2 only, and to lesser extent, by alpha 1(I) CB4, whereas peptides alpha 1(I) CB5 and alpha 2(I) CB2 remained unstructured. Analytical gel filtration confirmed that peptides alpha 1(I) CB2 and alpha 1(I) CB4 only were able to form trimeric species at temperature between 14 and 20 degrees C, and indicated that the monomer = trimer equilibrium was influenced by the chaotropic nature of the salt present in the eluent, by its concentration, and by temperature variations. CD measurements at increasing temperatures showed that alpha 1(I) CB2 was less stable than its synthetic counterpart due to incomplete prolyl hydroxylation of the preparation from the natural source. 1H- and 13C-nmr spectra acquired in the temperature range 0-47 and 0-27 degrees C, respectively, indicated that with decreasing temperature the most abundant from of alpha 1(I) CB2 was in slow exchange with an assembled form, characterized by broad lines, as expected for the triple-helical conformation. A large number of trimer cross peaks was observed both in the proton and carbon spectra, and these were most likely due to the nonequivalence of the environments of the three chains in the triple helix. This nonequivalence may have implications for the aggregation of collagen molecules and for collagen binding to other molecules. The thermal transition from trimer to monomer was also monitored by 1H-nmr following the change in area of the signal belonging to one of the two beta protons of the C-terminal homoserine. The unfolding process was found to be fully reversible with a melting temperature of 13.4 degrees C, in agreement with CD results. The qualitative superposition of the melting curves obtained by CD for the peptide bond characteristics and by nmr for a side chain suggests that triple-helical backbone and side chains constitute a single unit.

Amino Acid Sequence↗

Bovine beta-lactoglobulin: interaction studies with palmitic acid.

Bovine beta-lactoglobulin (BLG) in vivo has been found complexed with fatty acids, especially palmitic and oleic acid. To elucidate the still unknown structure-function relationship in this protein, the interactions between 13C enriched palmitic acid (PA) and BLG were investigated by means of one-, two-, and three-dimensional NMR spectroscopy in the pH range 8.4-2.1. The NMR spectra revealed that at neutral pH the ligand is bound within the central cavity of BLG, with the methyl end deeply buried within the protein. The analysis of 13C spectra of the holo protein revealed the presence of conformational variability of bound PA carboxyl end in the pH range 8.4-5.9, related to the Tanford transition. The release of PA starts at pH lower than 6.0, and it is nearly complete at acidic pH. This finding is relevant in relation to the widely reported hypothesis that this protein can act as a transporter through the acidic gastric tract. Ligand binding and release is shown to be completely reversible over the entire pH range examined, differently from other fatty acid binding proteins whose behavior is analyzed throughout the paper. The mode of interaction of BLG is compatible with the proposed function of facilitating the digestion of milk fat during the neonatal period of calves.

Animals↗

Unfolding and refolding of bovine beta-lactoglobulin monitored by hydrogen exchange measurements.

Bovine beta-lactoglobulin (beta-LG) is a widely studied protein belonging to the lipocalin family, whose structural characterisation has been reported by X-ray crystallography and NMR studies at physiological and acidic pH, respectively. Bovine beta-LG consists of nine antiparallel beta-sheets and a terminal alpha-helix segment. The beta-sheets form a calyx structure with a hydrophobic buried cluster conferring stability to the protein while a hydrophobic surface patch provides stabilising interactions between the barrel and the flanking terminal helix. Here, the stability and the folding properties of bovine beta-LG in the presence of a chemical denaturant is probed. The analysis of the NMR spectra recorded in aqueous solution with increasing amounts of urea revealed that the intensities of the backbone cross-peaks decrease upon increasing urea concentration, while their secondary shifts do not change significantly on going from 0 to 5 M urea, thus suggesting the presence of slow exchange between native and unfolded protein. Hydrogen exchange measurements at different urea concentrations were performed in order to evaluate the exchange rates of individual backbone amide protons. The opening reactions that determine protein exchange can be computed for the most slowly exchanging hydrogen atoms, and the measured exchange rates and the corresponding free energies can be expressed in terms of the equilibrium energetic for the global transition and the local fluctuations. Most of the residues converge to define a common isotherm identifying a unique cooperative folding unit, encompassing all the strands, except strand betaI, and the terminal region of the helix. The amides that do not join the same global unfolding isotherm are characterised by low DeltaGH20op and especially by low m values, indicating that they are already substantially exposed in the native state. A two-state unfolding model N <==> U is therefore proposed for this rather big protein, in agreement with CD data. Renaturation studies show that the unfolding mechanism is reversible up to 6 M urea and suggest a similar unfolding and refolding pathway. Present results are discussed in light of the hypothesis of an alpha-->beta transition proposed for bovine beta-LG refolding.

Amino Acid Motifs↗

A single-point mutation in the extreme heat- and pressure-resistant sso7d protein from sulfolobus solfataricus leads to a major rearrangement of the hydrophobic core.

Sso7d is a basic 7-kDa DNA-binding protein from Sulfolobus solfataricus, also endowed with ribonuclease activity. The protein consists of a double-stranded antiparallel beta-sheet, onto which an orthogonal triple-stranded antiparallel beta-sheet is packed, and of a small helical stretch at the C-terminus. Furthermore, the two beta-sheets enclose an aromatic cluster displaying a fishbone geometry. We previously cloned the Sso7d-encoding gene, expressed it in Escherichia coli, and produced several single-point mutants, either of residues located in the hydrophobic core or of Trp23, which is exposed to the solvent and plays a major role in DNA binding. The mutation F31A was dramatically destabilizing, with a loss in thermo- and piezostabilities by at least 27 K and 10 kbar, respectively. Here, we report the solution structure of the F31A mutant, which was determined by NMR spectroscopy using 744 distance constraints obtained from analysis of multidimensional spectra in conjunction with simulated annealing protocols. The most remarkable finding is the change in orientation of the Trp23 side chain, which in the wild type is completely exposed to the solvent, whereas in the mutant is largely buried in the aromatic cluster. This prevents the formation of a cavity in the hydrophobic core of the mutant, which would arise in the absence of structural rearrangements. We found additional changes produced by the mutation, notably a strong distortion in the beta-sheets with loss in several hydrogen bonds, increased flexibility of some stretches of the backbone, and some local strains. On one hand, these features may justify the dramatic destabilization provoked by the mutation; on the other hand, they highlight the crucial role of the hydrophobic core in protein stability. To the best of our knowledge, no similar rearrangement has been so far described as a result of a single-point mutation.

Amino Acid Sequence↗

Equilibrium unfolding CD studies of bovine beta-lactoglobulin and its 14-52 fragment at acidic pH.

Bovine beta-lactoglobulin represents an interesting example of context-dependent secondary structure induction. In fact, secondary structure predictions indicated that this beta-barrel protein has a surprisingly high alpha-helical preference, which was retained for short fragments. Cooperative transitions from the native beta-sheet to alpha-helical structures were additionally induced by organic solvents, in particular trifluoroethanol. As a result of this high alpha-helical preference, it has been proposed that non-native alpha-helical intermediates could be formed in the unfolding pathway of this protein. In order to provide a better understanding of the processes that underlie conformational plasticity in this protein, CD measurements in the presence of increasing amounts of urea and in the presence of organic solvents were performed. Urea unfolding studies, performed at pH 2.1 and 37 degrees C, revealed an apparent two-state transition, and afforded no evidence of non native alpha-helical intermediates. The protein treated with up to 6M urea, refolded to the native structure, while treatment with higher molar concentration urea, lead to partial misfolding. A 29-mer peptide covering the region of strands a and b of the intact protein, characterized by the presence of 4/3 heptad repeats, was synthesized and studied by CD in the presence of different solvents. On the basis of the obtained results, a mechanism was proposed to explain the structural transition from the beta to alpha structure, provoked by organic solvents in the intact protein.

Amino Acid Sequence↗

Characterization of low-molecular-mass trypsin isoinhibitors from oil-rape (Brassica napus var. oleifera) seed.

A new low-molecular-mass (6767.8 Da) serine proteinase isoinhibitor has been isolated from oil-rape (Brassica napus var. oleifera) seed, designated 5-oxoPro1-Gly62-RTI-III. The 5-oxoPro1-Gly62-RTI-III isoinhibitor is longer than the Asp2-Pro61-RTI-III and the Ser3-Pro61-RTI-III forms, all the other amino acid residues being identical. In RTI-III isoinhibitors, the P1-P1' reactive site bond (where residues forming the reactive site have been identified as PnellipsisP1 and P1'ellipsisPn', where P1-P1' is the inhibitor scissile bond) has been identified at position Arg21-Ile22. The inhibitor disulphide bridges pattern has been determined as Cys5-Cys27, Cys18-Cys31, Cys42-Cys52 and Cys54-Cys57. The disulphide bridge arrangement observed in the RTI-III isoinhibitors is reminiscent of that found in a number of toxins (e.g. erabutoxin b). Moreover, the organization of the three disulphide bridges subset Cys5-Cys27, Cys18-Cys31 and Cys42-Cys52 is reminiscent of that found in epidermal growth factor domains. Preliminary 1H-NMR data indicates the presence of alphaalphaNOEs and 3JalphaNH coupling constants, typical of the beta-structure(s). These data suggest that the three-dimensional structure of the RTI-III isoinhibitors may be reminiscent of that of toxins and epidermal growth factor domains, consisting of three-finger shaped loops extending from the crossover region. Values of the apparent association equilibrium constant for RTI-III isoinhibitors binding to bovine beta-trypsin and bovine alpha-chymotrypsin are 3.3 x 109 m-1 and 2.4 x 106 m-1, respectively, at pH 8.0 and 21.0 degrees C. The serine proteinase : inhibitor complex formation is a pH-dependent entropy-driven process. RTI-III isoinhibitors do not show any similarity to other serine proteinase inhibitors except the low molecular mass white mustard trypsin isoinhibitor, isolated from Sinapis alba L. seed (MTI-2). Therefore, RTI-III and MTI-2 isoinhibitors could be members of a new class of plant serine proteinase inhibitors.

Amino Acid Sequence↗

Monomeric bovine beta-lactoglobulin adopts a beta-barrel fold at pH 2.

We have determined a crude structure of the apo form of bovine beta-lactoglobulin, a protein of 162 amino acid residues with a molecular mass of 18 kDa, at a low pH on the basis of data collected using only homonuclear 1H NMR spectroscopy. An ensemble of protein conformations was calculated with the distance-geometry algorithm for NMR applications (DYANA). The monomeric protein at low pH adopts a beta-barrel fold, well-superimposable on the structure determined by X-ray crystallography for the dimer at physiological pH. NMR evidence suggests the presence of disordered loop regions and terminal segments. Structural differences between the monomer at pH 2 and the dimer at pH 7, obtained by X-ray crystallography, are discussed, paying particular attention to surface electrostatic properties, in view of the high charge state of the protein at low pH.

Algorithms↗

Conformational study of a collagen peptide by 1H NMR spectroscopy: observation of the 14N-1H spin-spin coupling of the Arg guanidinium moiety in the triple-helix structure.

CB2, a CNBr peptide of 36 residues from type I collagen alpha1(I) chain has been studied by NMR spectroscopy as a function of temperature. At low temperature, the guanidinium protons of Arg9 showed sharp 1:1:1 NMR triplets around 6.95 ppm, characteristic of 14N coupled protons (1J(NH)=52 Hz) when the quadrupolar relaxation rate is drastically reduced. These spectral characteristics and the low temperature coefficient of the 1:1:1 triplets (delta delta/delta T of -3.6 ppb/degrees C) suggest that the H atoms of the protonated guanidinium moiety of Arg9 in the triple helix are slowly exchanging with bulk water, most likely involved in hydrogen bonds. On the basis of conformational energy computations on a model segment of type I collagen (Vitagliano, L., Némethy, G., Zagari, A. and Scheraga, H.A. (1993) Biochemistry 32, 7354-7359), similar to CB2, our data could indicate that the guanidinium group of Arg9 form hydrogen bonds with a backbone carbonyl of an adjacent chain probably by using the N(epsilon) hydrogen, leaving the four N(eta) hydrogens bound to water molecules that must be in slow exchange with bulk water and that could therefore be considered structural elements of the trimeric alpha1(I) CB2 triple helix. The behaviour of Arg9 has been investigated also in terms of equilibrium between random monomer and helical trimer conformations controlled by temperature. The thermal unfolding process was found to be reversible and the melting point resulted to be 17 degrees C.

Amino Acid Sequence↗

Redox potentials and quinone reductase activity of L-aspartate oxidase from Escherichia coli.

l-Aspartate oxidase (EC 1.4.3.16) is a flavoprotein that catalyzes the first step in the de novobiosynthetic pathway to pyridine nucleotides both under aerobic and under anaerobic conditions. Despite the physiological importance of this biosynthesis particularly in facultative aerobic organisms, such as Escherichia coli, little is known about the electron acceptor of reduced L-aspartate oxidase in the absence of oxygen. In this report, evidence is presented which suggests that in vitro quinones can play such a role. L-Aspartate oxidase binds menadione and 2, 3-dimethoxy-5-methyl-p-benzoquinone with Kd values of 11.5 and 2.4 microM, respectively. A new L-aspartate:quinone oxidoreductase activity is described in the presence and in the absence of phospholipids, and its possible physiological relevance is discussed. Moreover, considering the striking sequence similarity between L-aspartate oxidase and the highly conserved family of succinate-fumarate oxidoreductases, the redox properties of L-aspartate oxidase were investigated in detail. A value of -216 mV was calculated for the midpoint potential of the couple FAD/FADH2 bound to the enzyme. This result perfectly explains why L-aspartate oxidase may be considered as a very particular fumarate reductase unable to use succinate as the electron donor.

Amino Acid Oxidoreductases↗

Quantitative analysis of anaerobic metabolism in resting anoxic muscle by 31P and 1H MRS.

31P and 1H MRS high resolution measurements at 4.7 T were carried out in isolated frog (Rana esculenta) gastrocnemius muscle during anoxia to assess, using reference compounds, the concentration of high energy phosphates (approximately P = phosphocreatine (PC) plus adenosinetriphosphate (ATP)), inorganic phosphate (P(i)), phosphomonoesters (PME) and lactate (La): Two sets of measurements were performed, with (p) and without (up) muscle IAA poisoning and the time course of the metabolite concentration changes was described. The rate of phosphocreatine hydrolysis during the first phase of anaerobiosis, when no lactate is accumulated in either case, appears to be greater in p than in up preparations. This finding can be explained with the sizeable accumulation of phosphomonoesters (PME) in the former. The efficiency of anaerobic glycolysis, i.e. the approximately P/La ratio, recalculated taking into account also PME changes, was found to be 1.48 +/- 0.28, a value higher than that obtained by previous chemical measurements and close to the maximum stoichiometric approximately P/La value. Hence, the in vivo substrate of glycolysis, in the resting anoxic frog gastrocnemius, appears to be almost exclusively glycogen.

Adenosine Triphosphate↗

Extreme heat- and pressure-resistant 7-kDa protein P2 from the archaeon Sulfolobus solfataricus is dramatically destabilized by a single-point amino acid substitution.

This study reports the characterization of the recombinant 7-kDa protein P2 from Sulfolobus solfataricus and the mutants F31A and F31Y with respect to temperature and pressure stability. As observed in the NMR, FTIR, and CD spectra, wild-type protein and mutants showed substantially similar structures under ambient conditions. However, midpoint transition temperatures of the denaturation process were 361, 334, and 347 K for wild type, F31A, and F31Y mutants, respectively: thus, alanine substitution of phenylalanine destabilized the protein by as much as 27 K. Midpoint transition pressures for wild type and F31Y mutant could not be accurately determined because they lay either beyond (wild type) or close to (F31Y) 14 kbar, a pressure at which water undergoes a phase transition. However, a midpoint transition pressure of 4 kbar could be determined for the F31A mutant, implying a shift in transition of at least 10 kbar. The pressure-induced denaturation was fully reversible; in contrast, thermal denaturation of wild type and mutants was only partially reversible. To our knowledge, both the pressure resistance of protein P2 and the dramatic pressure and temperature destabilization of the F31A mutant are unprecedented. These properties may be largely accounted for by the role of an aromatic cluster where Phe31 is found at the core, because interactions among aromatics are believed to be almost pressure insensitive; furthermore, the alanine substitution of phenylalanine should create a cavity with increased compressibility and flexibility, which also involves an impaired pressure and temperature resistance.

Alanine↗

Probing protein structure by solvent perturbation of NMR spectra: the surface accessibility of bovine pancreatic trypsin inhibitor.

In the absence of specific interactions, the relative attenuation of protein NMR signals due to added stable free radicals such as TEMPOL should reflect the solvent accessibility of the molecular surface. The quantitative correlation between observed attenuation and surface accessibility was investigated with a model system, i.e., the small protein bovine pancreatic trypsin inhibitor. A detailed discussion is presented on the reliability and limits of the approach, and guidelines are provided for data acquisition, treatment, and interpretation. The NMR-derived accessibilities are compared with those obtained from x-ray diffraction and molecular dynamics data. Although the time-averaged accessibilities from molecular dynamics are ideally suited to fit the NMR data, better agreement was observed between the paramagnetic attenuations of the fingerprint cross-peaks of homonuclear proton spectra and the total NH and H alpha accessibilities calculated from x-ray coordinates, than from time-averaged molecular dynamics simulations. In addition, the solvent perturbation response appears to be a promising approach for detecting the thermal conformational evolution of secondary structure elements in proteins.

Amino Acid Sequence↗

Application of NMR microscopy to the morphological study of the silkworm, Bombyx mori, during its metamorphosis.

Zero (ZQ) and double (DQ) quantum 2D chemical shift selective and spin-echo 3D NMR imaging at microscopy resolution, has been applied to the morphological study of silkworm, Bombyx mori, during its metamorphosis. Attention had been focused on the evolution of the internal structure of the insect during its postembryonal life occurring through the larval, pupal and adult development. A major objective of this work was the characterization of the silk glands, responsible for the synthesis and secretion of fibroin and sericin, through the changes of distribution and mobility of water, by imaging the water protons during postembryonal life stages. Moreover, alanine deriving from silk gland proteins was imaged during the last life stage of Bombyx mori.

Animals↗

Identification of a conserved hydrophobic cluster in partially folded bovine beta-lactoglobulin at pH 2.

BACKGROUND: NMR studies of denatured states, both fully unfolded and partially folded, give insight into the conformations and interactions formed during folding. Although the complete structural characterization of partially folded proteins is a very difficult task, the identification of structured subsets, such as hydrophobic clusters, is of value in understanding the structural organization of such states. Here, we report the NMR characterization, in acidic conditions (pH 2), of a well-defined hydrophobic cluster localized in the core of bovine beta-lactoglobulin. RESULTS: The existence of a small hydrophobic cluster present in the lipocalin protein family has been assessed on the basis of structural alignment and NRM data obtained for the partially folded bovine beta-lactoglobulin. The presence of the cluster had been predicted identifying those residues that are highly conserved in most members of the family. An NMR study conducted at pH 2, where the protein exhibits a very stable beta-core together with disordered regions, reveals the presence of NOEs among sidechains of 11 hydrophobic residues centered around Trp19 and pointing towards the interior of the protein. This buried cluster is found to be unusually stable at pH 2, not only at room temperature but also at 323K. Furthermore, conserved hydrophobic residues pointing towards the surface of the protein define a hydrophobic surface patch located in a groove between the strands and the helix. CONCLUSIONS: The detected buried cluster most likely plays an important role in bovine beta-lactoglobulin stability. The analysis of five structurally related proteins reveals that the same extended cluster is present in these structures. We propose that the buried cluster may represent the internal binding site as well and that the hydrophobic surface patch is involved in a second external binding site.

Algorithms↗