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1.
J Chem Inf Model ; 2024 Jun 25.
Artigo em Inglês | MEDLINE | ID: mdl-38917349

RESUMO

It is commonly assumed that ionizable molecules, such as drugs, permeate through the skin barrier in their neutral form. By using molecular dynamics simulations of the charged and neutral states separately, we can study the dynamic protonation behavior during the permeation process. We have studied three weak acids and three weak bases and conclude that the acids are ionized to a larger extent than the bases, when passing through the headgroup region of the lipid barrier structure, at pH values close to their pKa. It can also be observed that even if these dynamic protonation simulations are informative, in the cases studied herein they are not necessary for the calculation of permeability coefficients. It is sufficient to base the calculations only on the neutral form, as is commonly done.

2.
J Chem Inf Model ; 63(15): 4900-4911, 2023 08 14.
Artigo em Inglês | MEDLINE | ID: mdl-37462219

RESUMO

Our skin constitutes an effective permeability barrier that protects the body from exogenous substances but concomitantly severely limits the number of pharmaceutical drugs that can be delivered transdermally. In topical formulation design, chemical permeation enhancers (PEs) are used to increase drug skin permeability. In vitro skin permeability experiments can measure net effects of PEs on transdermal drug transport, but they cannot explain the molecular mechanisms of interactions between drugs, permeation enhancers, and skin structure, which limits the possibility to rationally design better new drug formulations. Here we investigate the effect of the PEs water, lauric acid, geraniol, stearic acid, thymol, ethanol, oleic acid, and eucalyptol on the transdermal transport of metronidazole, caffeine, and naproxen. We use atomistic molecular dynamics (MD) simulations in combination with developed molecular models to calculate the free energy difference between 11 PE-containing formulations and the skin's barrier structure. We then utilize the results to calculate the final concentration of PEs in skin. We obtain an RMSE of 0.58 log units for calculated partition coefficients from water into the barrier structure. We then use the modified PE-containing barrier structure to calculate the PEs' permeability enhancement ratios (ERs) on transdermal metronidazole, caffeine, and naproxen transport and compare with the results obtained from in vitro experiments. We show that MD simulations are able to reproduce rankings based on ERs. However, strict quantitative correlation with experimental data needs further refinement, which is complicated by significant deviations between different measurements. Finally, we propose a model for how to use calculations of the potential of mean force of drugs across the skin's barrier structure in a topical formulation design.


Assuntos
Simulação de Dinâmica Molecular , Absorção Cutânea , Naproxeno/metabolismo , Naproxeno/farmacologia , Cafeína , Metronidazol/metabolismo , Metronidazol/farmacologia , Pele , Água/metabolismo , Permeabilidade
3.
Biophys J ; 121(20): 3837-3849, 2022 10 18.
Artigo em Inglês | MEDLINE | ID: mdl-36104960

RESUMO

A molecular-level understanding of skin permeation may rationalize and streamline product development, and improve quality and control, of transdermal and topical drug delivery systems. It may also facilitate toxicity and safety assessment of cosmetics and skin care products. Here, we present new molecular dynamics simulation approaches that make it possible to efficiently sample the free energy and local diffusion coefficient across the skin's barrier structure to predict skin permeability and the effects of chemical penetration enhancers. In particular, we introduce a new approach to use two-dimensional reaction coordinates in the accelerated weight histogram method, where we combine sampling along spatial coordinates with an alchemical perturbation virtual coordinate. We present predicted properties for 20 permeants, and demonstrate how our approach improves correlation with ex vivo/in vitro skin permeation data. For the compounds included in this study, the obtained log KPexp-calc mean square difference was 0.9 cm2 h-2.


Assuntos
Absorção Cutânea , Pele , Pele/metabolismo , Administração Cutânea , Permeabilidade , Simulação de Dinâmica Molecular
4.
J Chem Phys ; 153(13): 134110, 2020 Oct 07.
Artigo em Inglês | MEDLINE | ID: mdl-33032406

RESUMO

The introduction of accelerator devices such as graphics processing units (GPUs) has had profound impact on molecular dynamics simulations and has enabled order-of-magnitude performance advances using commodity hardware. To fully reap these benefits, it has been necessary to reformulate some of the most fundamental algorithms, including the Verlet list, pair searching, and cutoffs. Here, we present the heterogeneous parallelization and acceleration design of molecular dynamics implemented in the GROMACS codebase over the last decade. The setup involves a general cluster-based approach to pair lists and non-bonded pair interactions that utilizes both GPU and central processing unit (CPU) single instruction, multiple data acceleration efficiently, including the ability to load-balance tasks between CPUs and GPUs. The algorithm work efficiency is tuned for each type of hardware, and to use accelerators more efficiently, we introduce dual pair lists with rolling pruning updates. Combined with new direct GPU-GPU communication and GPU integration, this enables excellent performance from single GPU simulations through strong scaling across multiple GPUs and efficient multi-node parallelization.

5.
Biophys J ; 114(5): 1116-1127, 2018 03 13.
Artigo em Inglês | MEDLINE | ID: mdl-29539398

RESUMO

The stratum corneum is the outermost layer of human skin and the primary barrier toward the environment. The barrier function is maintained by stacked layers of saturated long-chain ceramides, free fatty acids, and cholesterol. This structure is formed through a reorganization of glycosylceramide-based bilayers with cubic-like symmetry into ceramide-based bilayers with stacked lamellar symmetry. The process is accompanied by deglycosylation of glycosylceramides and dehydration of the skin barrier lipid structure. Using coarse-grained molecular dynamics simulation, we show the effects of deglycosylation and dehydration on bilayers of human skin glycosylceramides and ceramides, folded in three dimensions with cubic (gyroid) symmetry. Deglycosylation of glycosylceramides destabilizes the cubic lipid bilayer phase and triggers a cubic-to-lamellar phase transition. Furthermore, subsequent dehydration of the deglycosylated lamellar ceramide system closes the remaining pores between adjacent lipid layers and locally induces a ceramide chain transformation from a hairpin-like to a splayed conformation.


Assuntos
Ceramidas/química , Pele/química , Ceramidas/metabolismo , Meio Ambiente , Glicosilação , Humanos , Bicamadas Lipídicas/química , Bicamadas Lipídicas/metabolismo , Conformação Molecular , Simulação de Dinâmica Molecular , Pele/metabolismo
6.
J Struct Biol ; 203(2): 149-161, 2018 08.
Artigo em Inglês | MEDLINE | ID: mdl-29702212

RESUMO

In the present study we have analyzed the molecular structure and function of the human skin's permeability barrier using molecular dynamics simulation validated against cryo-electron microscopy data from near native skin. The skin's barrier capacity is located to an intercellular lipid structure embedding the cells of the superficial most layer of skin - the stratum corneum. According to the splayed bilayer model (Iwai et al., 2012) the lipid structure is organized as stacked bilayers of ceramides in a splayed chain conformation with cholesterol associated with the ceramide sphingoid moiety and free fatty acids associated with the ceramide fatty acid moiety. However, knowledge about the lipid structure's detailed molecular organization, and the roles of its different lipid constituents, remains circumstantial. Starting from a molecular dynamics model based on the splayed bilayer model, we have, by stepwise structural and compositional modifications, arrived at a thermodynamically stable molecular dynamics model expressing simulated electron microscopy patterns matching original cryo-electron microscopy patterns from skin extremely closely. Strikingly, the closer the individual molecular dynamics models' lipid composition was to that reported in human stratum corneum, the better was the match between the models' simulated electron microscopy patterns and the original cryo-electron microscopy patterns. Moreover, the closest-matching model's calculated water permeability and thermotropic behaviour were found compatible with that of human skin. The new model may facilitate more advanced physics-based skin permeability predictions of drugs and toxicants. The proposed procedure for molecular dynamics based analysis of cellular cryo-electron microscopy data might be applied to other biomolecular systems.


Assuntos
Ceramidas/química , Microscopia Crioeletrônica/métodos , Bicamadas Lipídicas/química , Pele/metabolismo , Animais , Humanos , Simulação de Dinâmica Molecular
7.
Glycobiology ; 24(5): 450-7, 2014 May.
Artigo em Inglês | MEDLINE | ID: mdl-24558268

RESUMO

A computerized method that uses predicted functions of glycosyltransferases (GTs) in conjunction with unassigned NMR data has been developed for the structural elucidation of bacterial polysaccharides (PSs). In this approach, information about the action of GTs (consisting of possible sugar residues used as donors and/or acceptors, as well as the anomeric configuration and/or substitution position in the respective glycosidic linkages) is extracted from the Escherichia coli O-antigen database and is submitted, together with the unassigned NMR data, to the CASPER program. This time saving methodology, which alleviates the need for chemical analysis, was successfully implemented in the structural elucidation of the O-antigen PS of E. coli O59. The repeating unit of the O-specific chain was determined using the O-deacylated PS and has a branched structure, namely, →6)[α-d-GalpA3Ac/4Ac-(1 → 3)]-α-d-Manp-(1 → 3)-α-d-Manp-(1 → 3)-ß-d-Manp-(1 → 3)-α-d-GlcpNAc-(1→. The identification of the O-acetylation positions was efficiently performed by comparison of the (1)H,(13)C HSQC NMR spectra of the O-deacylated lipopolysaccharide and the lipid-free PS in conjunction with chemical shift predictions made by the CASPER program. The side-chain d-GalpA residue carries one equivalent of O-acetyl groups at the O-3 and O-4 positions distributed in the LPS in a 3:7 ratio, respectively. The presence of O-acetyl groups in the repeating unit of the E. coli O59 PS is consistent with the previously proposed acetyltransferase WclD in the O-antigen gene cluster.


Assuntos
Escherichia coli/química , Antígenos O/química , Configuração de Carboidratos , Espectroscopia de Ressonância Magnética , Relação Estrutura-Atividade
8.
J Comput Chem ; 35(3): 260-9, 2014 Jan 30.
Artigo em Inglês | MEDLINE | ID: mdl-24258850

RESUMO

Molecular dynamics simulations is an important application in theoretical chemistry, and with the large high-performance computing resources available today the programs also generate huge amounts of output data. In particular in life sciences, with complex biomolecules such as proteins, simulation projects regularly deal with several terabytes of data. Apart from the need for more cost-efficient storage, it is increasingly important to be able to archive data, secure the integrity against disk or file transfer errors, to provide rapid access, and facilitate exchange of data through open interfaces. There is already a whole range of different formats used, but few if any of them (including our previous ones) fulfill all these goals. To address these shortcomings, we present "Trajectory Next Generation" (TNG)--a flexible but highly optimized and efficient file format designed with interoperability in mind. TNG both provides state-of-the-art multiframe compression as well as a container framework that will make it possible to extend it with new compression algorithms without modifications in programs using it. TNG will be the new file format in the next major release of the GROMACS package, but it has been implemented as a separate library and API with liberal licensing to enable wide adoption both in academic and commercial codes.


Assuntos
Processamento Eletrônico de Dados/normas , Simulação de Dinâmica Molecular , Software , 2-Naftilamina/análogos & derivados , 2-Naftilamina/química , Acetamidas/química , Algoritmos , Animais , Etanol/química , Canal de Potássio Kv1.2/química , Ribonucleases/química , Peixe-Zebra , Proteínas de Peixe-Zebra/química
9.
Protein J ; 42(5): 477-489, 2023 Oct.
Artigo em Inglês | MEDLINE | ID: mdl-37651042

RESUMO

Alchemical free energy calculations have become a standard and widely used tool, in particular for calculating and comparing binding affinities of drugs. Although methods to compute such free energies have improved significantly over the last decades, the choice of path between the end states of interest is usually still the same as two decades ago. We will show that there is a fundamentally arbitrary, implicit choice of parametrization of this path. To address this, the notion of the length of a path or a metric is required. A metric recently introduced in the context of the accelerated weight histogram method also proves to be very useful here. We demonstrate that this metric can not only improve the efficiency of sampling along a given path, but that it can also be used to improve the actual choice of path. For a set of relevant use cases, the combination of these improvements can increase the efficiency of alchemical free energy calculations by up to a factor 16.

10.
Glycoconj J ; 29(7): 491-502, 2012 Oct.
Artigo em Inglês | MEDLINE | ID: mdl-22711644

RESUMO

The α-1,3-glucosyltransferase WaaG is involved in the synthesis of the core region of lipopolysaccharides in E. coli. A fragment-based screening for inhibitors of the WaaG glycosyltrasferase donor site has been performed using NMR spectroscopy. Docking simulations were performed for three of the compounds of the fragment library that had shown binding activity towards WaaG and yielded 3D models for the respective complexes. The three ligands share a hetero-bicyclic ring system as a common structural motif and they compete with UDP-Glc for binding. Interestingly, one of the compounds promoted binding of uridine to WaaG, as seen from STD NMR titrations, suggesting a different binding mode for this ligand. We propose these compounds as scaffolds for the design of selective high-affinity inhibitors of WaaG. Binding of natural substrates, enzymatic activity and donor substrate selectivity were also investigated by NMR spectroscopy. Molecular dynamics simulations of WaaG were carried out with and without bound UDP and revealed structural changes compared to the crystal structure and also variations in flexibility for some amino acid residues between the two WaaG systems studied.


Assuntos
Inibidores Enzimáticos/química , Proteínas de Escherichia coli/química , Escherichia coli/enzimologia , Glucosiltransferases/química , Açúcares de Uridina Difosfato/química , Inibidores Enzimáticos/metabolismo , Proteínas de Escherichia coli/antagonistas & inibidores , Proteínas de Escherichia coli/metabolismo , Glucosiltransferases/antagonistas & inibidores , Glucosiltransferases/metabolismo , Glicolipídeos/biossíntese , Ligantes , Simulação de Dinâmica Molecular , Ressonância Magnética Nuclear Biomolecular , Ligação Proteica , Açúcares de Uridina Difosfato/metabolismo
11.
J Invest Dermatol ; 142(2): 285-292, 2022 02.
Artigo em Inglês | MEDLINE | ID: mdl-34474746

RESUMO

A major role of the skin is to serve as a barrier toward the environment. The skin's permeability barrier consists of a lipid structure positioned in the stratum corneum. Recent progress in high-resolution cryo-electron microscopy (cryo-EM) has allowed for elucidation of the architecture of the skin's barrier and its stepwise formation process representing the final stage of epidermal differentiation. In this review, we present an overview of the skin's barrier structure and its formation process, as evidenced by cryo-EM.


Assuntos
Microscopia Crioeletrônica , Epiderme/ultraestrutura , Diferenciação Celular , Células Epidérmicas/fisiologia , Epiderme/crescimento & desenvolvimento , Epiderme/metabolismo , Humanos , Permeabilidade
12.
Glycobiology ; 21(4): 493-502, 2011 Apr.
Artigo em Inglês | MEDLINE | ID: mdl-21106561

RESUMO

The EUROCarbDB project is a design study for a technical framework, which provides sophisticated, freely accessible, open-source informatics tools and databases to support glycobiology and glycomic research. EUROCarbDB is a relational database containing glycan structures, their biological context and, when available, primary and interpreted analytical data from high-performance liquid chromatography, mass spectrometry and nuclear magnetic resonance experiments. Database content can be accessed via a web-based user interface. The database is complemented by a suite of glycoinformatics tools, specifically designed to assist the elucidation and submission of glycan structure and experimental data when used in conjunction with contemporary carbohydrate research workflows. All software tools and source code are licensed under the terms of the Lesser General Public License, and publicly contributed structures and data are freely accessible. The public test version of the web interface to the EUROCarbDB can be found at http://www.ebi.ac.uk/eurocarb.


Assuntos
Carboidratos/química , Bases de Dados como Assunto , Software , Animais , Configuração de Carboidratos , Biologia Computacional , Glicômica , Humanos , Modelos Moleculares , Peso Molecular , Sistemas On-Line
13.
Anal Chem ; 83(5): 1514-7, 2011 Mar 01.
Artigo em Inglês | MEDLINE | ID: mdl-21280662

RESUMO

Structural determination of N- and O-linked glycans as well as polysaccharides is hampered by the limited spectral dispersion. The computerized approach CASPER, an acronym for computer assisted spectrum evaluation of regular polysaccharides, uses liquid state NMR data to elucidate carbohydrate structure based on agreement with predicted (1)H and (13)C chemical shifts. We here demonstrate developments based on multiple through-bond J-based correlations that significantly enhance the credence to the sequence connectivities proposed in the analysis exemplified by an oligosaccharide and a bacterial polysaccharide. The approach is also suitable for predicting (1)H and (13)C NMR chemical shifts of synthesized oligosaccharides and glycoconjugates, thereby corroborating a proposed structure.


Assuntos
Espectroscopia de Ressonância Magnética/métodos , Polissacarídeos/química , Configuração de Carboidratos
14.
Biomacromolecules ; 12(11): 3851-5, 2011 Nov 14.
Artigo em Inglês | MEDLINE | ID: mdl-21955217

RESUMO

The structural analysis of polysaccharides requires that the sugar components and their absolute configurations are determined. We here show that this can be performed based on NMR spectroscopy by utilizing butanolysis with (+)- and (-)-2-butanol that gives the corresponding 2-butyl glycosides with characteristic (1)H and (13)C NMR chemical shifts. The subsequent computer-assisted structural determination by CASPER can then be based solely on NMR data in a fully automatic way as shown and implemented herein. The method is additionally advantageous in that reference data only have to be prepared once and from a user's point of view only the unknown sample has to be derivatized for use in CASPER.


Assuntos
Modelos Moleculares , Antígenos O/química , Configuração de Carboidratos , Sequência de Carboidratos , Escherichia coli , Klebsiella pneumoniae , Espectroscopia de Ressonância Magnética , Dados de Sequência Molecular , Padrões de Referência , Análise de Sequência/métodos , Software
15.
J Invest Dermatol ; 141(5): 1243-1253.e6, 2021 05.
Artigo em Inglês | MEDLINE | ID: mdl-33098827

RESUMO

In vertebrates, skin upholds homeostasis by preventing body water loss. The skin's permeability barrier is located intercellularly in the stratum corneum and consists of stacked lipid lamellae composed of ceramides, cholesterol, and free fatty acids. We have combined cryo-electron microscopy with molecular dynamics modeling and electron microscopy simulation in our analysis of the lamellae's formation, a maturation process beginning in stratum granulosum and ending in stratum corneum. Previously, we have revealed the lipid lamellae's initial- and end-stage molecular organizations. In this study, we reveal two cryo-electron microscopy patterns representing intermediate stages in the lamellae's maturation process: a single-band pattern with 2.0‒2.5 nm periodicity and a two-band pattern with 5.5‒6.0 nm periodicity, which may be derived from lamellar lipid structures with 4.0‒5.0 nm and 5.5‒6.0 nm periodicity, respectively. On the basis of the analysis of the data now available on the four maturation stages identified, we can present a tentative molecular model for the complete skin barrier formation process.


Assuntos
Pele/metabolismo , Adulto , Água Corporal/metabolismo , Microscopia Crioeletrônica , Humanos , Lipídeos/química , Masculino , Pessoa de Meia-Idade , Simulação de Dinâmica Molecular , Permeabilidade , Pele/ultraestrutura
16.
Glycobiology ; 20(3): 366-8, 2010 Mar.
Artigo em Inglês | MEDLINE | ID: mdl-19926726

RESUMO

ECODAB (the E. coli O-antigen database) has been expanded to include information about glycosyltransferases (GTs) involved in the assembly of the O-antigen polysaccharide. Similarity searches have been performed to be able to determine GT functions that have not been reported prior to this work. In addition to suggesting the function of 179 GTs, the approach leads to the prediction of part of the O-antigen structures of a number of serogroups. The procedure suggests a novel way of combining genetic information with experimental techniques in structural analysis of oligo- and polysaccharides.


Assuntos
Escherichia coli/enzimologia , Glicosiltransferases/metabolismo , Antígenos O/química , Biologia Computacional , Escherichia coli/metabolismo , Antígenos O/genética , Antígenos O/metabolismo
17.
J Mol Graph Model ; 26(8): 1237-51, 2008 Jun.
Artigo em Inglês | MEDLINE | ID: mdl-18203638

RESUMO

We have investigated the influence of post-filtering virtual screening results, with pharmacophoric features generated from an X-ray structure, on enrichment rates. This was performed using three docking softwares, zdock+, Surflex and FRED, as virtual screening tools and pharmacophores generated in UNITY from co-crystallized complexes. Sets of known actives along with 9997 pharmaceutically relevant decoy compounds were docked against six chemically diverse protein targets namely CDK2, COX2, ERalpha, fXa, MMP3, and NA. To try to overcome the inherent limitations of the well-known docking problem, we generated multiple poses for each compound. The compounds were first ranked according to their scores alone and enrichment rates were calculated using only the top scoring pose of each compound. Subsequently, all poses for each compound were passed through the different pharmacophores generated from co-crystallized complexes and the enrichment factors were re-calculated based on the top-scoring passing pose of each compound. Post-filtering with a pharmacophore generated from only one X-ray complex was shown to increase enrichment rates in all investigated targets compared to docking alone. This indicates that this is a general method, which works for diverse targets and different docking softwares.


Assuntos
Desenho de Fármacos , Ligação Proteica , Relação Quantitativa Estrutura-Atividade , Algoritmos , Sítios de Ligação , Simulação por Computador , Cristalografia por Raios X , Quinase 2 Dependente de Ciclina , Ciclo-Oxigenase 2/química , Receptor alfa de Estrogênio/química , Fator Xa/química , Humanos , Ligação de Hidrogênio , Metaloproteinase 3 da Matriz/química , Modelos Moleculares , Estrutura Molecular , Peso Molecular , Neuraminidase/química , Curva ROC , Software
18.
J Control Release ; 283: 269-279, 2018 08 10.
Artigo em Inglês | MEDLINE | ID: mdl-29864475

RESUMO

Understanding and predicting permeability of compounds through skin is of interest for transdermal delivery of drugs and for toxicity predictions of chemicals. We show, using a new atomistic molecular dynamics model of the skin's barrier structure, itself validated against near-native cryo-electron microscopy data from human skin, that skin permeability to the reference compounds benzene, DMSO (dimethyl sulfoxide), ethanol, codeine, naproxen, nicotine, testosterone and water can be predicted. The permeability results were validated against skin permeability data in the literature. We have investigated the relation between skin barrier molecular organization and permeability using atomistic molecular dynamics simulation. Furthermore, it is shown that the calculated mechanism of action differs between the five skin penetration enhancers Azone, DMSO, oleic acid, stearic acid and water. The permeability enhancing effect of a given penetration enhancer depends on the permeating compound and on the concentration of penetration enhancer inside the skin's barrier structure. The presented method may open the door for computer based screening of the permeation of drugs and toxic compounds through skin.


Assuntos
Simulação de Dinâmica Molecular , Preparações Farmacêuticas/metabolismo , Absorção Cutânea , Humanos , Permeabilidade
19.
Cell Rep ; 20(8): 1893-1905, 2017 Aug 22.
Artigo em Inglês | MEDLINE | ID: mdl-28834752

RESUMO

Cellular blebbing, caused by local alterations in cell-surface tension, has been shown to increase the invasiveness of cancer cells. However, the regulatory mechanisms balancing cell-surface dynamics and bleb formation remain elusive. Here, we show that an acute reduction in cell volume activates clathrin-independent endocytosis. Hence, a decrease in surface tension is buffered by the internalization of the plasma membrane (PM) lipid bilayer. Membrane invagination and endocytosis are driven by the tension-mediated recruitment of the membrane sculpting and GTPase-activating protein GRAF1 (GTPase regulator associated with focal adhesion kinase-1) to the PM. Disruption of this regulation by depleting cells of GRAF1 or mutating key phosphatidylinositol-interacting amino acids in the protein results in increased cellular blebbing and promotes the 3D motility of cancer cells. Our data support a role for clathrin-independent endocytic machinery in balancing membrane tension, which clarifies the previously reported role of GRAF1 as a tumor suppressor.


Assuntos
Clatrina/metabolismo , Endocitose/fisiologia , Pseudópodes/fisiologia , Fenômenos Biológicos , Humanos , Invasividade Neoplásica
20.
Methods Mol Biol ; 1273: 29-40, 2015.
Artigo em Inglês | MEDLINE | ID: mdl-25753701

RESUMO

Carbohydrate molecules have highly complex structures and the constituent monosaccharides and substituents are linked to each other in a large number of ways. NMR spectroscopy can be used to unravel these structures, but the process may be tedious and time-consuming. The computerized approach based on the CASPER program can facilitate rapid structural determination of glycans with little user intervention, which results in the most probable primary structure of the investigated carbohydrate material. Additionally, (1)H and (13)C NMR chemical shifts of a user-defined structure can be predicted, and this tool may thus be employed in many aspects where NMR spectroscopy plays an important part of a study.


Assuntos
Espectroscopia de Ressonância Magnética/métodos , Polissacarídeos/química , Software , Espectroscopia de Ressonância Magnética Nuclear de Carbono-13 , Escherichia coli/metabolismo , Modelos Moleculares , Espectroscopia de Prótons por Ressonância Magnética
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