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1.
Nat Biotechnol ; 2024 Feb 01.
Artigo em Inglês | MEDLINE | ID: mdl-38302753

RESUMO

Mass spectrometry (MS)-based proteomics aims to characterize comprehensive proteomes in a fast and reproducible manner. Here we present the narrow-window data-independent acquisition (nDIA) strategy consisting of high-resolution MS1 scans with parallel tandem MS (MS/MS) scans of ~200 Hz using 2-Th isolation windows, dissolving the differences between data-dependent and -independent methods. This is achieved by pairing a quadrupole Orbitrap mass spectrometer with the asymmetric track lossless (Astral) analyzer which provides >200-Hz MS/MS scanning speed, high resolving power and sensitivity, and low-ppm mass accuracy. The nDIA strategy enables profiling of >100 full yeast proteomes per day, or 48 human proteomes per day at the depth of ~10,000 human protein groups in half-an-hour or ~7,000 proteins in 5 min, representing 3× higher coverage compared with current state-of-the-art MS. Multi-shot acquisition of offline fractionated samples provides comprehensive coverage of human proteomes in ~3 h. High quantitative precision and accuracy are demonstrated in a three-species proteome mixture, quantifying 14,000+ protein groups in a single half-an-hour run.

2.
Anal Chem ; 95(42): 15656-15664, 2023 Oct 24.
Artigo em Inglês | MEDLINE | ID: mdl-37815927

RESUMO

The growing trend toward high-throughput proteomics demands rapid liquid chromatography-mass spectrometry (LC-MS) cycles that limit the available time to gather the large numbers of MS/MS fragmentation spectra required for identification. Orbitrap analyzers scale performance with acquisition time and necessarily sacrifice sensitivity and resolving power to deliver higher acquisition rates. We developed a new mass spectrometer that combines a mass-resolving quadrupole, the Orbitrap, and the novel Asymmetric Track Lossless (Astral) analyzer. The new hybrid instrument enables faster acquisition of high-resolution accurate mass (HRAM) MS/MS spectra compared with state-of-the-art mass spectrometers. Accordingly, new proteomics methods were developed that leverage the strengths of each HRAM analyzer, whereby the Orbitrap analyzer performs full scans with a high dynamic range and resolution, synchronized with the Astral analyzer's acquisition of fast and sensitive HRAM MS/MS scans. Substantial improvements are demonstrated over previous methods using current state-of-the-art mass spectrometers.

3.
J Proteome Res ; 22(10): 3290-3300, 2023 10 06.
Artigo em Inglês | MEDLINE | ID: mdl-37683181

RESUMO

We evaluate the quantitative performance of the newly released Asymmetric Track Lossless (Astral) analyzer. Using data-independent acquisition, the Thermo Scientific Orbitrap Astral mass spectrometer quantifies 5 times more peptides per unit time than state-of-the-art Thermo Scientific Orbitrap mass spectrometers, which have long been the gold standard for high-resolution quantitative proteomics. Our results demonstrate that the Orbitrap Astral mass spectrometer can produce high-quality quantitative measurements across a wide dynamic range. We also use a newly developed extracellular vesicle enrichment protocol to reach new depths of coverage in the plasma proteome, quantifying over 5000 plasma proteins in a 60 min gradient with the Orbitrap Astral mass spectrometer.


Assuntos
Peptídeos , Proteômica , Proteômica/métodos , Espectrometria de Massas/métodos , Proteoma/metabolismo , Proteínas Sanguíneas
4.
bioRxiv ; 2023 Aug 07.
Artigo em Inglês | MEDLINE | ID: mdl-37398334

RESUMO

We evaluate the quantitative performance of the newly released Asymmetric Track Lossless (Astral) analyzer. Using data independent acquisition, the Thermo Scientific™ Orbitrap™ Astral™ mass spectrometer quantifies 5 times more peptides per unit time than state-of-the-art Thermo Scientific™ Orbitrap™ mass spectrometers, which have long been the gold standard for high resolution quantitative proteomics. Our results demonstrate that the Orbitrap Astral mass spectrometer can produce high quality quantitative measurements across a wide dynamic range. We also use a newly developed extra-cellular vesicle enrichment protocol to reach new depths of coverage in the plasma proteome, quantifying over 5,000 plasma proteins in a 60-minute gradient with the Orbitrap Astral mass spectrometer.

5.
RSC Adv ; 8(11): 6183-6191, 2018 Feb 02.
Artigo em Inglês | MEDLINE | ID: mdl-35539593

RESUMO

The performance of the high-field MegaOrbitrap Fourier transform mass spectrometer (FT-MS) with electrospray ionization (ESI) was evaluated to perform petroleum sample characterization via classical petroleomics approaches. Pertinent parameters that underpin the main figures of merit, that is, signal to noise ratios, dynamic range, spectral error, scan speed, mass accuracy and mass resolving power = R p, and provide subsidies to develop these analyzers were tested. Comparisons are made with data obtained using the most common petroleomics instrument, which is a Fourier transform ion cyclotron resonance mass spectrometer (FT-ICR MS), that has been used in the last decade in our laboratory for crude oil analysis providing R p of 340 000 at m/z 400 with transients of 3 s duration, and has been extensively demonstrated to fulfill all major requirements for precise petroleomics investigations. The high-field compact MegaOrbitrap mass analyzer, when operated at an R p = 840 000 at m/z 400 (R p > 1 000 000 at m/z 200) with a detection time of 3 s, was found to be well suited for adequate characterization of crude oil. Accurate class classification and mass accuracy below 1 ppm was obtained leading to proper, comprehensive petroleomics characterization.

6.
Mol Cell Proteomics ; 13(12): 3698-708, 2014 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-25360005

RESUMO

The quadrupole Orbitrap mass spectrometer (Q Exactive) made a powerful proteomics instrument available in a benchtop format. It significantly boosted the number of proteins analyzable per hour and has now evolved into a proteomics analysis workhorse for many laboratories. Here we describe the Q Exactive Plus and Q Exactive HF mass spectrometers, which feature several innovations in comparison to the original Q Exactive instrument. A low-resolution pre-filter has been implemented within the injection flatapole, preventing unwanted ions from entering deep into the system, and thereby increasing its robustness. A new segmented quadrupole, with higher fidelity of isolation efficiency over a wide range of isolation windows, provides an almost 2-fold improvement of transmission at narrow isolation widths. Additionally, the Q Exactive HF has a compact Orbitrap analyzer, leading to higher field strength and almost doubling the resolution at the same transient times. With its very fast isolation and fragmentation capabilities, the instrument achieves overall cycle times of 1 s for a top 15 to 20 higher energy collisional dissociation method. We demonstrate the identification of 5000 proteins in standard 90-min gradients of tryptic digests of mammalian cell lysate, an increase of over 40% for detected peptides and over 20% for detected proteins. Additionally, we tested the instrument on peptide phosphorylation enriched samples, for which an improvement of up to 60% class I sites was observed.


Assuntos
Espectrometria de Massas/instrumentação , Fosfoproteínas/isolamento & purificação , Sequência de Aminoácidos , Filtração , Análise de Injeção de Fluxo , Células HeLa , Humanos , Íons , Espectrometria de Massas/métodos , Dados de Sequência Molecular , Fosforilação , Sensibilidade e Especificidade , Fatores de Tempo , Tripsina/química
7.
J Am Chem Soc ; 136(20): 7295-9, 2014 May 21.
Artigo em Inglês | MEDLINE | ID: mdl-24787140

RESUMO

Accurate mass analysis can provide useful information on the stoichiometry and composition of protein-based particles, such as virus-like assemblies. For applications in nanotechnology and medicine, such nanoparticles are loaded with foreign cargos, making accurate mass information essential to define the cargo load. Here, we describe modifications to an Orbitrap mass spectrometer that enable high mass analysis of several virus-like nanoparticles up to 4.5 MDa in mass. This allows the accurate determination of the composition of virus-like particles. The modified instrument is utilized to determine the cargo load of bacterial encapsulin nanoparticles that were engineered to encapsulate foreign cargo proteins. We find that encapsulin packages from 8 up to 12 cargo proteins, thereby quantifying cargo load but also showing the ensemble spread. In addition, we determined the previously unknown stoichiometry of the three different splice variants of the capsid protein in adeno-associated virus (AAV) capsids, showing that symmetry is broken and assembly is heterogeneous and stochastic. These results demonstrate the potential of high-resolution mass analysis of protein-based nanoparticles, with widespread applications in chemical biology and nanotechnology.


Assuntos
Bactérias/química , Proteínas de Bactérias/química , Capsídeo/química , Dependovirus/química , Nanopartículas/química , Espectrometria de Massas
8.
Anal Chem ; 86(1): 372-9, 2014 Jan 07.
Artigo em Inglês | MEDLINE | ID: mdl-24236851

RESUMO

First results are reported on the fragmentation of multiply protonated polypeptide ions produced in electrospray ionization mass spectrometry (ESI-MS) with a beam of high-energy cations as a source of activation. The ion beam is generated with a microwave plasma gun installed on a benchtop Q Exactive mass spectrometer. Precursor polypeptide ions are activated when trapped inside the collision cell of the instrument (HCD cell), and product species are detected in the Orbitrap analyzer. Upon exposure to the beam of air plasma cations (∼100 µA, 5 s), model precursor species such as multiply protonated angiotensin I and ubiquitin dissociated across a variety of pathways. Those pathways include the cleavages of C-CO, C-N as well as N-Cα backbone bonds, accordingly manifested as b/y, a, and c/z fragment ion series in tandem mass spectra. The fragmentation pattern observed includes characteristic fragments of collision-induced dissociation (CID) (b/y/a fragments) as well as electron capture/transfer dissociation (ECD, ETD) (c/z fragments), suggesting substantial contribution of both vibrational and electronic excitation in our experiments. Besides backbone cleavages, notable amounts of nondissociated precursor species were observed with reduced net charge, formed via electron or proton transfer between the colliding partners. Peaks corresponding to increased charge states of the precursor ions were also detected, which is the major distinctive feature of ion beam activation.


Assuntos
Eletrodos Seletivos de Íons , Espectrometria de Massas por Ionização por Electrospray/métodos , Cátions , Projetos Piloto , Espectrometria de Massas por Ionização por Electrospray/instrumentação
9.
Anal Chem ; 85(23): 11163-73, 2013 Dec 03.
Artigo em Inglês | MEDLINE | ID: mdl-24237199

RESUMO

Native mass spectrometry (MS) is becoming an important integral part of structural proteomics and system biology research. The approach holds great promise for elucidating higher levels of protein structure: from primary to quaternary. This requires the most efficient use of tandem MS, which is the cornerstone of MS-based approaches. In this work, we advance a two-step fragmentation approach, or (pseudo)-MS(3), from native protein complexes to a set of constituent fragment ions. Using an efficient desolvation approach and quadrupole selection in the extended mass-to-charge (m/z) range, we have accomplished sequential dissociation of large protein complexes, such as phosporylase B (194 kDa), pyruvate kinase (232 kDa), and GroEL (801 kDa), to highly charged monomers which were then dissociated to a set of multiply charged fragmentation products. Fragment ion signals were acquired with a high resolution, high mass accuracy Orbitrap instrument that enabled highly confident identifications of the precursor monomer subunits. The developed approach is expected to enable characterization of stoichiometry and composition of endogenous native protein complexes at an unprecedented level of detail.


Assuntos
Espectrometria de Massas/métodos , Subunidades Proteicas/análise , Espectrometria de Massas por Ionização por Electrospray/métodos , Espectrometria de Massas em Tandem/métodos , Espectrometria de Massas/tendências , Fosforilase b/análise , Fosforilase b/química , Subunidades Proteicas/química , Proteômica/métodos , Proteômica/tendências , Espectrometria de Massas por Ionização por Electrospray/tendências , Espectrometria de Massas em Tandem/tendências
10.
Anal Chem ; 85(24): 11710-4, 2013 Dec 17.
Artigo em Inglês | MEDLINE | ID: mdl-24251866

RESUMO

Proteome coverage and peptide identification rates have historically advanced in line with improvements to the detection limits and acquisition rate of the mass spectrometer. For a linear ion trap/Orbitrap hybrid, the acquisition rate has been limited primarily by the duration of the ion accumulation and analysis steps. It is shown here that the spectral acquisition rate can be significantly improved through extensive parallelization of the acquisition process using a novel mass spectrometer incorporating quadrupole, Orbitrap, and linear trap analyzers. Further, these improvements to the acquisition rate continue to enhance proteome coverage and general experimental throughput.


Assuntos
Espectrometria de Massas/métodos , Peptídeos/análise , Proteômica/métodos , Espectrometria de Massas/instrumentação , Peptídeos/química , Proteômica/instrumentação , Fatores de Tempo
11.
Angew Chem Int Ed Engl ; 51(52): 12992-6, 2012 Dec 21.
Artigo em Inglês | MEDLINE | ID: mdl-23172610

RESUMO

Antibody profiling: native mass spectrometry analysis of intact antibodies can be achieved with improved speed, sensitivity, and mass resolution by using a modified orbitrap instrument. Complex mixtures of monoclonal antibodies can be resolved and their glycan "fingerprints" can be profiled. Noncovalent interactions are maintained, thus allowing antibody-antigen binding to be measured.


Assuntos
Anticorpos Monoclonais/química , Espectrometria de Massas , Anticorpos Monoclonais/genética , Anticorpos Monoclonais/imunologia , Antígenos/imunologia , Glicosilação , Células HEK293 , Humanos , Interleucina-6/imunologia , Proteínas Recombinantes/biossíntese , Proteínas Recombinantes/química , Proteínas Recombinantes/imunologia
12.
Nat Methods ; 9(11): 1084-6, 2012 Nov.
Artigo em Inglês | MEDLINE | ID: mdl-23064518

RESUMO

The analysis of intact protein assemblies in native-like states by mass spectrometry offers a wealth of information on their biochemical and biophysical properties. Here we show that the Orbitrap mass analyzer can be used to measure protein assemblies of molecular weights approaching one megadalton with sensitivity down to the detection of single ions. Minor instrumental modifications enabled the measurement of various protein assemblies with outstanding mass-spectral resolution.


Assuntos
Substâncias Macromoleculares/química , Peso Molecular , Chaperonina 60/química , Imunoglobulina G/química , Espectrometria de Massas/métodos , Proteômica/métodos , Espectrometria de Massas por Ionização por Electrospray/instrumentação , Espectrometria de Massas por Ionização por Electrospray/métodos , Espectrometria de Massas em Tandem
13.
Mol Cell Proteomics ; 11(12): 1758-67, 2012 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-22964222

RESUMO

The primary structural information of proteins employed as biotherapeutics is essential if one wishes to understand their structure-function relationship, as well as in the rational design of new therapeutics and for quality control. Given both the large size (around 150 kDa) and the structural complexity of intact immunoglobulin G (IgG), which includes a variable number of disulfide bridges, its extensive fragmentation and subsequent sequence determination by means of tandem mass spectrometry (MS) are challenging. Here, we applied electron transfer dissociation (ETD), implemented on a hybrid Orbitrap Fourier transform mass spectrometer (FTMS), to analyze a commercial recombinant IgG in a liquid chromatography (LC)-tandem mass spectrometry (MS/MS) top-down experiment. The lack of sensitivity typically observed during the top-down MS of large proteins was addressed by averaging time-domain transients recorded in different LC-MS/MS experiments before performing Fourier transform signal processing. The results demonstrate that an improved signal-to-noise ratio, along with the higher resolution and mass accuracy provided by Orbitrap FTMS (relative to previous applications of top-down ETD-based proteomics on IgG), is essential for comprehensive analysis. Specifically, ETD on Orbitrap FTMS produced about 33% sequence coverage of an intact IgG, signifying an almost 2-fold increase in IgG sequence coverage relative to prior ETD-based analysis of intact monoclonal antibodies of a similar subclass. These results suggest the potential application of the developed methodology to other classes of large proteins and biomolecules.


Assuntos
Anticorpos Monoclonais/análise , Imunoglobulina G/análise , Fragmentos de Peptídeos/análise , Sequência de Aminoácidos , Cromatografia Líquida , Análise de Fourier , Humanos , Espectrometria de Massas , Dados de Sequência Molecular , Proteômica , Razão Sinal-Ruído , Relação Estrutura-Atividade
14.
Mol Cell Proteomics ; 11(3): O111.013698, 2012 Mar.
Artigo em Inglês | MEDLINE | ID: mdl-22159718

RESUMO

Although only a few years old, the combination of a linear ion trap with an Orbitrap analyzer has become one of the standard mass spectrometers to characterize proteins and proteomes. Here we describe a novel version of this instrument family, the Orbitrap Elite, which is improved in three main areas. The ion transfer optics has an ion path that blocks the line of sight to achieve more robust operation. The tandem MS acquisition speed of the dual cell linear ion trap now exceeds 12 Hz. Most importantly, the resolving power of the Orbitrap analyzer has been increased twofold for the same transient length by employing a compact, high-field Orbitrap analyzer that almost doubles the observed frequencies. An enhanced Fourier Transform algorithm-incorporating phase information-further doubles the resolving power to 240,000 at m/z 400 for a 768 ms transient. For top-down experiments, we combine a survey scan with a selected ion monitoring scan of the charge state of the protein to be fragmented and with several HCD microscans. Despite the 120,000 resolving power for SIM and HCD scans, the total cycle time is within several seconds and therefore suitable for liquid chromatography tandem MS. For bottom-up proteomics, we combined survey scans at 240,000 resolving power with data-dependent collision-induced dissociation of the 20 most abundant precursors in a total cycle time of 2.5 s-increasing protein identifications in complex mixtures by about 30%. The speed of the Orbitrap Elite furthermore allows scan modes in which complementary dissociation mechanisms are routinely obtained of all fragmented peptides.


Assuntos
Cromatografia Líquida , Fragmentos de Peptídeos/análise , Fragmentos de Peptídeos/metabolismo , Proteoma/análise , Proteoma/metabolismo , Proteômica/instrumentação , Espectrometria de Massas em Tandem/instrumentação , Células HeLa , Humanos , Proteômica/métodos , Espectrometria de Massas em Tandem/métodos
15.
Mol Cell Proteomics ; 8(12): 2759-69, 2009 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-19828875

RESUMO

Since its introduction a few years ago, the linear ion trap Orbitrap (LTQ Orbitrap) instrument has become a powerful tool in proteomics research. For high resolution mass spectrometry measurements ions are accumulated in the linear ion trap and passed on to the Orbitrap analyzer. Simultaneously with acquisition of this signal, the major peaks are isolated in turn, fragmented and recorded at high sensitivity in the linear ion trap, combining the strengths of both mass analyzer technologies. Here we describe a next generation LTQ Orbitrap system termed Velos, with significantly increased sensitivity and scan speed. This is achieved by a vacuum interface using a stacked ring radio frequency ion guide with 10-fold higher transfer efficiency in MS/MS mode and 3-5-fold in full scan spectra, by a dual pressure ion trap configuration, and by reduction of overhead times between scans. The first ion trap efficiently captures and fragments ions at relatively high pressure whereas the second ion trap realizes extremely fast scan speeds at reduced pressure. Ion injection times for MS/MS are predicted from full scans instead of performing automatic gain control scans. Together these improvements routinely enable acquisition of up to ten fragmentation spectra per second. Furthermore, an improved higher-energy collisional dissociation cell with increased ion extraction capabilities was implemented. Higher-collision energy dissociation with high mass accuracy Orbitrap readout is as sensitive as ion trap MS/MS scans in the previous generation of the instrument.


Assuntos
Espectrometria de Massas/instrumentação , Pressão , Proteômica/instrumentação , Análise de Sequência de Proteína/instrumentação , Sequência de Aminoácidos , Animais , Anidrases Carbônicas/química , Bovinos , Células HeLa , Humanos , Dados de Sequência Molecular , Peptídeos/química , Soroalbumina Bovina/química , Fatores de Tempo
16.
J Am Soc Mass Spectrom ; 20(8): 1486-95, 2009 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-19427230

RESUMO

While allowing analysis of intact proteins without a theoretical upper mass limit, the Orbitrap mass analyzer demonstrates reduced resolving power as ion mass increases even at a constant mass-to-charge ratio. It is shown that this effect comes from the effects of ion scattering on background gas molecules. The main mechanisms causing decay of acquired transient appear to be fragmentation as well as accelerated dephasing of ion packets. Isotopic resolution of proteins including bovine serum albumin (MW 66.4 kDa) and transferrin (MW 78 kDa) has also been demonstrated. As a part of this study, detection of individual multiply-charged ions of myoglobin (MW 16.9 kDa) has been demonstrated. Quantized distribution of signal intensities for +20 myoglobin ions well above the noise threshold was observed, with high mass accuracy and resolution of recorded individual ions used as an independent confirmation of correct assignment of signal to ions rather than to noise. The latter also allowed us to benchmark the sensitivity of image-current detection and explore in detail factors responsible for signal decay.


Assuntos
Modelos Químicos , Proteínas/análise , Proteínas/química , Espectrometria de Massas por Ionização por Electrospray/instrumentação , Espectrometria de Massas por Ionização por Electrospray/métodos , Simulação por Computador , Desenho Assistido por Computador , Desenho de Equipamento , Análise de Falha de Equipamento , Íons , Reprodutibilidade dos Testes , Sensibilidade e Especificidade
17.
J Am Soc Mass Spectrom ; 20(8): 1391-6, 2009 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-19216090

RESUMO

A new design of the Orbitrap mass analyzer is presented. Higher frequencies of ion oscillations and hence higher resolving power over fixed acquisition time are achieved by decreasing the gap between the inner and outer Orbitrap electrodes, thus providing higher field strength for a given voltage. Experimental results confirm maximum FWHM resolving power in excess of 350,000 at m/z 524 and 600,000 at m/z 195, isotopic resolution of proteins above 40 kDa, and a single-shot dynamic range of 25,000. It was also found that mass shifts in the new design depend very little on space charge inside the analyzer. This performance was achieved using higher voltages and by careful balancing of construction tolerances and operation parameters, which appeared to vary in narrower ranges of tuning than for a standard Orbitrap analyzer.

18.
J Am Soc Mass Spectrom ; 17(7): 977-982, 2006 Jul.
Artigo em Inglês | MEDLINE | ID: mdl-16750636

RESUMO

Using a novel orbitrap mass spectrometer, the authors investigate the dynamic range over which accurate masses can be determined (extent of mass accuracy) for short duration experiments typical for LC/MS. A linear ion trap is used to selectively fill an intermediate ion storage device (C-trap) with ions of interest, following which the ensemble of ions is injected into an orbitrap mass analyzer and analyzed using image current detection and fast Fourier transformation. Using this technique, it is possible to generate ion populations with intraspectrum intensity ranges up to 10(4). All measurements (including ion accumulation and image current detection) were performed in less than 1 s at a resolving power of 30,000. It was shown that 5-ppm mass accuracy of the orbitrap mass analyzer is reached with >95% probability at a dynamic range of more than 5000, which is at least an order of magnitude higher than typical values for time-of-flight instruments. Due to the high resolving power of the orbitrap, accurate mass of an ion could be determined when the signal was reliably distinguished from noise (S/Np-p)>2...3).

19.
Anal Chem ; 78(7): 2113-20, 2006 Apr 01.
Artigo em Inglês | MEDLINE | ID: mdl-16579588

RESUMO

Design and performance of a novel hybrid mass spectrometer is described. It couples a linear ion trap mass spectrometer to an orbitrap mass analyzer via an rf-only trapping quadrupole with a curved axis. The latter injects pulsed ion beams into a rapidly changing electric field in the orbitrap wherein they are trapped at high kinetic energies around an inner electrode. Image current detection is subsequently performed after a stable electrostatic field is achieved. Fourier transformation of the acquired transient allows wide mass range detection with high resolving power, mass accuracy, and dynamic range. The entire instrument operates in LC/MS mode (1 spectrum/s) with nominal mass resolving power of 60,000 and uses automatic gain control to provide high-accuracy mass measurements, within 2 ppm using internal standards and within 5 ppm with external calibration. The maximum resolving power exceeds 100,000 (fwhm). Rapid, automated data-dependent capabilities enable real-time acquisition of up to three high-mass accuracy MS/MS spectra per second.

20.
J Am Soc Mass Spectrom ; 17(12): 1758, 2006 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-29500743

RESUMO

In the July issue, in the article, "Dynamic Range of Mass Accuracy in LTQ Orbitrap Hybrid Mass Spectrometer" by Alexander Makarov, Eduard Denisov, Oliver Lange, and Stevan Horning (Vol. 17, no. 7, pages 977-982), Figure 4 was printed in black and white, when it should have been published in color. The correct rendering of the figure, with its accompanying legend, is provided below.

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