Infrared multiphoton dissociation for enhanced de novo sequence interpretation of N-terminal sulfonated peptides in a quadrupole ion trap

Infrared multiphoton dissociation (IRMPD) of N-terminal sulfonated peptides improves de novo sequencing capabilities in a quadrupole ion trap mass spectrometer. Not only does IRMPD promote highly efficient dissociation of the N-terminal sulfonated peptides but also the entire series of y ions down to the y(1) fragment may be detected due to alleviation of the low-mass cutoff problem associated with conventional collisional activated dissociation (CAD) methods in a quadrupole ion trap. Commercial de novo sequencing software was applied for the interpretation of CAD and IRMPD MS/MS spectra collected for seven unmodified peptides and the corresponding N-terminal sulfonated species. In most cases, the additional information obtained by N-terminal sulfonation in combination with IRMPD provided significant improvements in sequence identification. The software sequence tag results were combined with a commercial database searching algorithm to interpret sequence information of a tryptic digest on alpha-casein s1. Energy-variable CAD studies confirmed a 30-40% reduction in the critical energies of the N-terminal sulfonated peptides relative to unmodified peptides. This reduction in dissociation energy facilitates IRMPD in a quadrupole ion trap.     

Fragmentation of singly protonated peptides via a combination of infrared and collisional activation

The coupling of matrix-assisted laser desorption/ionization (MALDI) to Fourier transform ion cyclotron resonance mass spectrometry (FTICR-MS) provides an exceptionally capable platform for peptide analysis, but an important limitation of this approach is the difficulty in obtaining informative tandem mass spectra (MS/MS) of singly protonated peptides. This difficulty is especially pronounced with peptide ions containing basic amino acid residues (for example, tryptic peptides). While such ions can be fragmented in some instrument configurations, most FTICR instruments have comparatively little facility for high-energy fragmentation. Here, a novel MS/MS approach implemented with MALDI-FTICR-MS and specifically intended for enhanced fragmentation of singly protonated peptides is described. The method involves infrared irradiation in concert with the simultaneous application of sustained off-resonance irradiation collision-induced dissociation (SORI-CID). This form of MS/MS, described as a combination of infrared and collisional activation (CIRCA), is shown to provide a greater capacity for dissociation of singly charged model peptide ions as compared to infrared multiphoton dissociation (IRMPD) or SORI-CID alone. Overall, the CIRCA approach is demonstrated to be a feasible technique for accessing useful fragmentation pathways of singly charged peptides, including those harboring basic amino acid residues--a crucial feature in the context of proteomics.     

Infrared multiple photon dissociation spectroscopy and computational studies of O-glycosylated peptides

The infrared multiple photon dissociation (IRMPD) spectra of O-glycosylated peptides in the gas phase were studied in the IR scanning range of 5.7-9.5 μm. Fragmentation of protonated and sodiated O-glycopeptides was investigated using electrospray ionization (ESI) Fourier-transform ion cyclotron resonance (FTICR) mass spectrometry (MS) with a free electron laser (FEL). FEL is used in the IRMPD technique as a tunable IR light source. In the IRMPD spectroscopic analysis of the protonated O-glycopeptide, fragment ions of the b/y and B/Y types were observed in the range of 5.7-9.5 μm, corresponding to the cleavage of the backbone in the parent amino acid sequence and glycosyl bonds, whereas the spectra of the sodiated glycopeptide showed major peaks of photoproducts of the B/Y type in the range of 8.4-9.5 μm. The IRMPD spectra of the O-glycopeptides were compared with simulated IR spectra for the structures obtained from the molecular dynamics.     

Infrared multiphoton dissociation for quantitative shotgun proteomics

We modified a dual-cell linear ion trap mass spectrometer to perform infrared multiphoton dissociation (IRMPD) in the low-pressure trap of a dual-cell quadrupole linear ion trap (dual-cell QLT) and perform large-scale IRMPD analyses of complex peptide mixtures. Upon optimization of activation parameters (precursor q-value, irradiation time, and photon flux), IRMPD subtly, but significantly, outperforms resonant-excitation collisional-activated dissociation (CAD) for peptides identified at a 1% false-discovery rate (FDR) from a yeast tryptic digest (95% confidence, p = 0.019). We further demonstrate that IRMPD is compatible with the analysis of isobaric-tagged peptides. Using fixed QLT rf amplitude allows for the consistent retention of reporter ions, but necessitates the use of variable IRMPD irradiation times, dependent upon precursor mass to charge (m/z). We show that IRMPD activation parameters can be tuned to allow for effective peptide identification and quantitation simultaneously. We thus conclude that IRMPD performed in a dual-cell ion trap is an effective option for the large-scale analysis of both unmodified and isobaric-tagged peptides.     

Accurate mass multiplexed tandem mass spectrometry for high-throughput polypeptide identification from mixtures

We report a new tandem mass spectrometric approach for the improved identification of polypeptides from mixtures (e.g., using genomic databases). The approach involves the dissociation of several species simultaneously in a single experiment and provides both increased speed and sensitivity. The data analysis makes use of the known fragmentation pathways for polypeptides and highly accurate mass measurements for both the set of parent polypeptides and their fragments. The accurate mass information makes it possible to attribute most fragments to a specific parent species. We provide an initial demonstration of this multiplexed tandem MS approach using an FTICR mass spectrometer with a mixture of seven polypeptides dissociated using infrared irradiation from a CO2 laser. The peptides were added to, and then successfully identified from, the largest genomic database yet available (C. elegans), which is equivalent in complexity to that for a specific differentiated mammalian cell type. Additionally, since only a few enzymatic fragments are necessary to unambiguously identify a protein from an appropriate database, it is anticipated that the multiplexed MS/MS method will allow the more rapid identification of complex protein mixtures with on-line separation of their enzymatically produced polypeptides.     

Combined electron capture and infrared multiphoton dissociation for multistage MS/MS in a Fourier transform ion cyclotron resonance mass spectrometer

We have mounted a permanent on-axis dispenser cathode electron source inside the magnet bore of a 9.4-T Fourier transform ion cyclotron resonance mass spectrometer. This configuration allows electron capture dissociation (ECD) to be performed reliably on a millisecond time scale. We have also implemented an off-axis laser geometry that enables simultaneous access to ECD and infrared multiphoton dissociation (IRMPD). Optimum performance of both fragmentation techniques is maintained. The analytical utility of performing either ECD or IRMPD on a given precursor ion population is demonstrated by structural characterization of several posttranslationally modified peptides: IRMPD of phosphorylated peptides results in few backbone (b- and y-type) cleavages, and product ion spectra are dominated by neutral loss of H3PO4. In contrast, ECD provides significantly more backbone (c- and z*-type) cleavages without loss of H3PO4. For N-glycosylated tryptic peptides, IRMPD causes extensive cleavage of the glycosidic bonds, providing structural information about the glycans. ECD cleaves all backbone bonds (except the N-terminal side of proline) in a 3-kDa glycopeptide with no saccharide loss. However, only a charge-reduced radical species and some side chain losses are observed following ECD of a 5-kDa glycopeptide from the same protein. An MS3 experiment involving IR laser irradiation of the charge-reduced species formed by electron capture results in extensive dissociation into c- and z-type fragment ions. Mass-selective external ion accumulation is essential for the structural characterization of these low-abundance (modified) peptides.     

Making broad proteome protein measurements in 1-5 min using high-speed RPLC separations and high-accuracy mass measurements

The throughput of proteomics measurements that provide broad protein coverage is limited by the quality and speed of both the separations as well as the subsequent mass spectrometric analysis; at present, analysis times can range anywhere from hours (high throughput) to days or longer (low throughput). We have explored the basis for proteomics analyses conducted on the order of minutes using high-speed capillary RPLC combined through on-line electrospray ionization interface with high-accuracy mass spectrometry (MS) measurements. Short 0.8-microm porous C18 particle-packed 50-microm-i.d. capillaries were used to speed the RPLC separations while still providing high-quality separations. Both time-of-flight (TOF) and Fourier transform ion cyclotron resonance (FTICR) MS were applied for identifying peptides using the accurate mass and time (AMT) tag approach. Peptide RPLC relative retention (elution) times that were generated by solvent gradients that differed by at least 25-fold were found to provide relative elution times that agreed to within 5%, which provides the basis for using peptide AMT tags for higher throughput proteomics measurements. For fast MS acquisition speeds (e.g., 0.2 s for TOF and either approximately 0.3 or approximately 0.6 s for FTICR), peptide mass measurement accuracies of better than +/-15 ppm were obtained with the high-speed RPLC separations. The ability to identify peptides and the overall proteome coverage was determined by factors that include the separation peak capacity, the sensitivity of the MS (with fast scanning), and the accuracy of both the mass measurements and the relative RPLC peptide elution times. The experimental RPLC relative elution time accuracies of 5% (using high-speed capillary RPLC) and mass measurement accuracies of better than +/-15 ppm allowed for the confident identification of >2800 peptides and >760 proteins from >13,000 different putative peptides detected from a Shewanellaoneidensis tryptic digest. Initial results for both RPLC-ESI-TOF and RPLC-ESI-FTICR MS were similar, with approximately 2000 different peptides from approximately 600 different proteins identified within 2-3 min. For <120-s proteomic analysis, TOF MS analyses were more effective, while FTICR MS was more effective for the >150-s analysis due to the improved mass accuracies attained using longer spectrum acquisition times.     

Infrared multiphoton dissociation and electron-induced dissociation as alternative MS/MS strategies for metabolite identification

A major challenge encountered in mass spectrometric metabolite analysis is the identification and structural characterization of metabolites. Fourier transform ion cyclotron resonance mass spectrometry is a valuable technique for metabolite structural determination because it provides accurate masses and allows for multiple MS/MS fragmentation strategies, including infrared multiphoton dissociation (IRMPD) and electron-induced dissociation (EID). Collision activated dissociation (CAD) is currently the most commonly used MS/MS technique for metabolite structural characterization. In contrast, IRMPD and EID have had very limited, if any, application for metabolite characterization. Here, we explore IRMPD and EID of phosphate-containing metabolites and compare the resulting fragmentation patterns to those of CAD. Our results show that CAD, IRMPD, and EID provide complementary structural information for phosphate-containing metabolites. Overall, CAD provided the most extensive fragmentation for smaller (<600 Da) phosphate-containing metabolites; however, IRMPD generated more extensive fragmentation for larger (>600 Da) phosphate-containing metabolites, particularly for species containing increased numbers of phosphate groups. EID generally provided complementary fragmentation to CAD and showed extensive fragmentation with relatively evenly abundant product ions, regardless of metabolite size. However, EID fragmentation efficiency is lower than those of CAD and IRMPD.     

Surface-induced dissociation in a Fourier transform ion cyclotron resonance mass spectrometer: instrument design and evaluation

A new Fourier transform ion cyclotron resonance mass spectrometer (FTICR MS) has been constructed in our laboratory. The instrument employs surface-induced dissociation (SID) as an activation method for obtaining structural information on biomolecules in the gas phase. Tandem SID mass spectra can be acquired using either a continuous or a pulsed mode of operation. Collision energy of precursor ion is controlled by a dc offset of the ICR cell. This approach eliminates defocusing of the ion beam by the ion-transfer optics as a function of ion kinetic energy and constitutes a significant improvement over our previous experimental setup. Furthermore, it can be easily implemented on any FTICR mass spectrometer. Very high signal-to-noise ratios of 200-500 were obtained in single-scan SID mass spectra of model peptides with acquisition time less than 1.1 s. Reasonable SID signal was detected in single-scan spectra with total acquisition time of only 0.3 s. The high signal-to-noise ratio and the fast acquisition time point on a potential application of SID for high-throughput studies in FTICR MS.     

High-sensitivity electron capture dissociation tandem FTICR mass spectrometry of microelectrosprayed peptides

Electron capture dissociation (ECD) has previously been shown by other research groups to result in greater peptide sequence coverage than other ion dissociation techniques and to localize labile posttranslational modifications. Here, ECD has been achieved for 10-13-mer peptides microelectrosprayed from 10 nM (10 fmol/microL) solutions and for tryptic peptides from a 50 nM unfractionated digest of a 28-kDa protein. Tandem Fourier transform ion cyclotron resonance (FTICR) mass spectra contain fragment ions corresponding to cleavages at all possible peptide backbone amine bonds, except on the N-terminal side of proline, for substance P and neurotensin. For luteinizing hormone-releasing hormone, all but two expected backbone amine bond cleavages are observed. The tandem FTICR mass spectra of the tryptic peptides contain fragment ions corresponding to cleavages at 6 of 12 (1545.7-Da peptide) and 8 of 21 (2944.5-Da peptide) expected backbone amine bonds. The present sensitivity is 200-2000 times higher than previously reported. These results show promise for ECD as a tool to produce sequence tags for identification of peptides in complex mixtures available only in limited amounts, as in proteomics.     

Enabling MALDI-FTICR-MS/MS for high-performance proteomics through combination of infrared and collisional activation

Matrix-assisted laser desorption/ionization (MALDI) mass spectrometry (MS) is a central tool for proteomic analysis, yet the singly protonated tryptic peptide ions produced by MALDI are significantly more difficult to dissociate for tandem mass spectrometry (MS/MS) than the corresponding multiply protonated ions. In order to overcome this limitation, current proteomic approaches using MALDI-MS/MS involve high-energy collision-induced dissociation (CID). Unfortunately, the use of high-energy CID complicates product ion spectra with a significant proportion of irrelevant fragments while also reducing mass accuracy and mass resolution. In order to address the lack of a high-resolution, high mass accuracy MALDI-MS/MS platform for proteomics, Fourier transform ion cyclotron resonance mass spectrometry (FTICR-MS) and a recently developed MS/MS technique termed CIRCA (for combination of infrared and collisional activation) have been applied to proteomic analysis. Here, CIRCA is shown to be suitable for dissociating singly protonated tryptic peptides, providing greater sequence coverage than either CID or infrared multiphoton dissociation (IRMPD) alone. Furthermore, the CIRCA fragmentation spectra are of sufficient quality to allow protein identification based on the MS/MS spectra alone or in concert with the peptide mass fingerprint (PMF). This is accomplished without compromising mass accuracy or mass resolution. As a result, CIRCA serves to enable MALDI-FTICR-MS/MS for high-performance proteomics experiments.     

High-throughput global peptide proteomic analysis by combining stable isotope amino acid labeling and data-dependent multiplexed-MS/MS

In this work, we describe the application of a stable isotope amino acid (lysine) labeling in conjunction with data-dependent multiplexed tandem mass spectrometry (MS/MS) to facilitate the characterization and identification of peptides from proteomic (global protein) digests. Lysine auxotrophic yeast was grown in the presence of 13C-labeled or unlabeled lysine and combined after harvesting in equal proportions. Endoproteinase LysC digestion of the cytosolic fraction produced a global proteomic sample, consisting of heavy/light labeled peptide pairs. Then data-dependent multiplexed-MS/MS was applied to simultaneously select and dissociate only labeled peptide ion pairs. The approach allows differentiation between N-terminal (e.g., b-type ions) and C-terminal fragment ions (e.g., y-type ions) in resulting tandem mass spectra, as well as the capability of differentiation between near-isobaric glutamine and lysine residues. We also describe the utility of peptide composition and fragment information to support peptide identifications and examine the potential application of lysine labeling for differential quantitative protein analysis.     

Identification of sites of ubiquitination in proteins: a fourier transform ion cyclotron resonance mass spectrometry approach

Structural elucidation of posttranslationally modified peptides and proteins is of key importance in the understanding of an array of biological processes. Ubiquitination is a reversible modification that regulates many cellular functions. Consequences of ubiquitination depend on whether a single ubiquitin or polyubiquitin chain is added to the tagged protein. The lysine residue through which the polyubiquitin chain is formed is also critical for biological activity. Robust methods are therefore required to identify sites of ubiquitination modification, both in the target protein and in ubiquitin. Here, we demonstrate the suitability of Fourier transform ion cyclotron resonance (FT-ICR) mass spectrometry, in conjunction with activated ion electron capture dissociation (AI ECD) or infrared multiphoton dissociation (IRMPD), for the analysis of ubiquitinated proteins. Polyubiquitinated substrate protein GST-Ubc5 was generated in vitro. Tryptic digests of polyubiquitinated species contain modified peptides in which the ubiquitin C-terminal Gly-Gly residues are retained on the modified lysine residues. Direct infusion microelectrospray FT-ICR of the digest and comparison with an in silico digest enables identification of modified peptides and therefore sites of ubiquitination. Fifteen sites of ubiquitination were identified in GST-Ubc5 and four sites in ubiquitin. Assignments were confirmed by AI ECD or IRMPD. The Gly-Gly modification is stable and both tandem mass spectrometric techniques are suitable, providing extensive sequence coverage and retention of the modification on backbone fragments.     

Consecutive infrared multiphoton dissociations in a fourier transform ion cyclotron resonance mass spectrometer

Consecutive infrared multiphoton dissociations (IRMPD) may be observed in a Fourier transform ion cyclotron resonance mass spectrometer (FTICR). This is the IRMPD equivalent of previous MS(n)() experiments using CID. This work presents a versatile technique, using a bistable shutter to gate ON and OFF a continuous-wave (CW) CO(2) laser for multiple irradiation periods of 0.1-1000 s duration. Consecutive photodissociations, up to MS(4), are demonstrated for the proton-bound dimer of diethyl ether and the resulting fragment ions. The photoproducts are formed close to the center of the FTICR cell, resulting in high product ion recovery efficiency. This differs from CID products, which are formed throughout the FTICR cell causing reisolation/detection problems. The fragmentation resulting from the use of low-intensity, CW, infrared laser radiation is shown to be much more energy selective than CID. Photodissociation of C(2)H(5)OH(2)(+) ion produces the lowest energy product ion exclusively, even though the two product channels differ only by ～5 kcal/mol. Low-energy CID, however, produces a mixture of C(2)H(5)(+) and H(3)O(+) products in the ratio of 1.3:1. Hence, the higher energy pathway (C(2)H(5)(+)) is substantially favored. The current results indicate that this IRMPD MS(n)() technique may be successfully applied to large biomolecules prepared by electrospray or MALDI.     

MALDI quadrupole time-of-flight mass spectrometry: a powerful tool for proteomic research

A MALDI QqTOF mass spectrometer has been used to identify proteins separated by one-dimensional or two-dimensional gel electrophoresis at the femtomole level. The high mass resolution and the high mass accuracy of this instrument in both MS and MS/MS modes allow identification of a protein either by peptide mass fingerprinting of the protein digest or from tandem mass spectra acquired by collision-induced dissociation of individual peptide precursors. A peptide mass map of the digest and tandem mass spectra of multiple peptide precursor ions can be acquired from the same sample in the course of a single experiment. Database searching and acquisition of MS and MS/MS spectra can be combined in an interactive fashion, increasing the information value of the analytical data. The approach has demonstrated its usefulness in the comprehensive characterization of protein in-gel digests, in the dissection of complex protein mixtures, and in sequencing of a low molecular weight integral membrane protein. Proteins can be identified in all types of sequence databases, including an EST database. Thus, MALDI QqTOF mass spectrometry promises to have remarkable potential for advancing proteomic research.     

Infrared multiphoton dissociation in an external ion reservoir.

In this work we present a novel scheme for performing infrared multiphoton dissociation (IRMPD) external to the mass analyzer in an external ion reservoir consisting of an rf-only multipole and a pair of electrostatic lens elements. Ions generated by electrospray ionization (ESI) are accumulated in an rf-only hexapole and dissociated by irradiation at 10.6 microns from a CW CO2 laser in the source region of the mass spectrometer. This scheme is unique from other IRMPD schemes as dissociation occurs in a spatially distinct region of the spectrometer and is independent of the mass spectrometry platform used to analyze the fragment ions. The effectiveness of the technique is demonstrated with ESI IRMPD FTICR mass spectrometry of a 20-mer phosphorothioate oligonucleotide. A comparison of the external IRMPD scheme with nozzle-skimmer dissociation and conventional in-cell IRMPD reveals a significant improvement in signal-to-noise ratio and fragment yield, particularly for larger, more highly charged fragment ions.     

Sequencing of O-glycopeptides derived from an S-layer glycoprotein of Geobacillus stearothermophilus NRS 2004/3a containing up to 51 monosaccharide residues at a single glycosylation site by fourier transform ion cyclotron resonance infrared multiphoton dissociation mass spectrometry

The microheterogeneity of large sugar chains in glycopeptides from S-layer glycoproteins containing up to 51 monosaccharide residues at a single O-attachment site on a 12 amino acid peptide backbone was investigated by Fourier transform ion cyclotron resonance mass spectrometry (FTICR MS). Structural elucidation of glycopeptides with the same amino acid sequence and different glycoforms, having such a high saccharide-to-peptide ratio, was achieved by applying infrared multiphoton dissociation (IRMPD) MS/MS for the first time. A 100% sequence coverage of the glycan chain and a 50% coverage of the peptide backbone fragmentation were obtained. The microheterogeneity of carbohydrate chains at the same glycosylation site, containing largely rhamnose, could have been reliably assessed.     

Structural characterization of protein tryptic peptides via liquid chromatography/mass spectrometry and collision-induced dissociation of their doubly charged molecular ions

The formation of multiply charged molecular ions via the field-assisted ion evaporation mechanism during electrospray ionization enables the use of an atmospheric pressure ionization quadrupole mass spectrometer system for characterizing biologically important peptides. The straightforward implementation of high-performance liquid chromatography (HPLC) into this new strategy to determine the molecular weight of tryptic peptides via the pneumatically assisted electrospray (ion spray) interface is presented. Examples utilizing both microbore (1.0 mm) and standard bore (4.6 mm) inside diameter columns are shown for the LC/MS molecular weight determination of tryptic peptides in methionyl-human growth hormone (met-hGH). Injected levels from 50 to 75 pmol of tryptic digest onto 1 mm i.d. HPLC columns provided full-scan LC/MS or LC/MS/MS results without postcolumn splitting of the effluent. When standard 4.6 mm i.d. HPLC columns were used, a 20:1 postcolumn split was utilized, which required from 1 to 5 nmol of injected tryptic digest for full-scan LC/MS or LC/MS/MS results. Collision-induced dissociation (CID) mass spectra resulting from either "infusion" or on-line LC/MS/MS analysis of the abundant doubly charged ions that predominate for tryptic peptides under electrospray conditions provided structurally useful sequence information for met-hGH and human hemoglobin tryptic digests. The slower mass spectrometer scan rate used during infusion of sample provides more accurate mass assignments than on-line LC/MS or LC/MS/MS, but the latter on-line experiments preclude ambiguities caused by matrix or component interferences. However, in some instances very weak CID product ions preclude complete tryptic peptide structural characterization based upon the CID data alone.(ABSTRACT TRUNCATED AT 250 WORDS)     

Divinyl sulfone as a postdigestion modifier for enhancing the a(1) Ion in MS/MS and postsource decay: potential applications in proteomics

Divinyl sulfone reacts at pH 8-9 with the alpha-amino groups of N-terminal residues, proline, the epsilon-amino groups of lysine, and the histidine side chains of peptides. This reaction leads to great enhancement of the abundance of the normally weak or missing "a(1)" fragment ion in MS/MS analysis defining the N-terminal residue of a peptide in a digest. This provides "one-step Edman-like" information that, together with a fairly accurately determined mass, often enables one to correctly identify a protein or family of proteins. The applicability of this procedure in proteomics was demonstrated with several peptides and tryptic digests of protein mixtures by LC-MS/MS experiments using a QTOF and MALDI-PSD analyses. Advantages of this approach are its simple chemistry, retention of charge multiplicity, and possibly, shortening of database search time. Used with other MS/MS data, it provides higher confidence in the scores and identification of a protein found in peptide mass fingerprinting. Moreover, this approach has an advantage in "de novo" sequencing due to its ability to decipher the first amino acid of a peptide whose information is normally unavailable in MS/MS spectra.     

Dynamic range expansion applied to mass spectrometry based on data-dependent selective ion ejection in capillary liquid chromatography fourier transform ion cyclotron resonance for enhanced proteome characterization.

The characterization of cellular proteomes is important for understanding biochemical processes ranging from cell differentiation to cancer development. In one highly promising approach, whole protein extracts or fractions are digested (e.g., with trypsin) and injected into a packed capillary column for subsequent separation. The separated peptides are then introduced on-line to an electrospray ionization source of a Fourier transform ion cyclotron resonance (FTICR) mass spectrometer for the detection of peptide accurate mass tags that serve as biomarkers for their parent proteins. In this work, we report the use of data-dependent selective external ion ejection in conjunction with FTICR and on-line capillary LC separations for the enhanced characterization of peptide mixtures and a yeast extract proteome. The number of peptides identified in an LC-FTICR analysis of a yeast proteome digest employing data-dependent rf-only dipolar ejection of the most abundant ion species prior to ion accumulation was 40% higher than that detected in a separate LC-FTICR analysis using conventional nonselective ion accumulation.