High MS-compatibility of silver nitrate-stained protein spots from 2-DE gels using ZipPlates and AnchorChips for successful protein identification

The availability of easy-to-handle, sensitive, and cost-effective protein staining protocols for 2-DE, in conjunction with a high compatibility for subsequent MS analysis, is still a prerequisite for successful proteome research. In this article we describe a quick and easy-to-use methodological protocol based on sensitive, homogeneous, and MS-compatible silver nitrate protein staining, in combination with an in-gel digestion, employing the Millipore 96-well ZipPlate system for peptide preparation. The improved quality and MS compatibility of the generated protein digests, as compared to the otherwise weakly MS-compatible silver nitrate staining, were evaluated on real tissue samples by analyzing 192 Coomassie-stained protein spots against their counterparts from a silver-stained 2-DE gel. Furthermore, the applicability of the experimental setup was evaluated and demonstrated by the analysis of a large-scale MALDI-TOF MS experiment, in which we analyzed an additional ~1000 protein spots from 2-DE gels from mouse liver and mouse brain tissue.     

Alkaline extraction of human plasma proteins from nondenaturing micro-2-D gels for protein/polypeptide mass measurement and peptide mass fingerprinting using MALDI-TOF MS

Previously, we have reported a high-efficiency method of protein extraction from CBB-stained polyacrylamide gels for molecular mass measurement with MALDI-TOF MS [1]. In the present work, the alkaline extraction method was applied to CBB-stained 2-DE gels on which human plasma proteins were separated in the absence of denaturant. In order to examine the performance of the method, ten spots with apparent molecular masses (MMapp) in the range of 65 to 1000 kDa were selected and the proteins were extracted from the gel pieces. The extracts were subjected to whole-mass measurement by MALDI-TOF MS, with and without DTT treatment. In addition, the extracts were subjected to in-solution trypsin digestion followed by MALDI-TOF MS and PMF analysis. Successful extraction of proteins from the ten spots, up to MMapp 1000 kDa, has been ascertained by the significant PMF assignment (MASCOT) with high sequence coverage of the respective proteins or polypeptides. When direct mass measurement of the extracted proteins was attempted, three spots in MMapp range 65-100 kDa provided mass peaks. Five spots in MMapp range 150-400 kDa did not give mass peaks of the intact proteins, but showed those of the constituent polypeptides after the DTT treatment. Extraction of proteins prior to trypsin digestion enabled the procedure of PMF analysis to be much simpler than the conventional in-gel digestion method, providing comparable protein scores and sequence coverage. The technique presented here suggests a new strategy for the characterization of proteins separated by nondenaturing 2-DE.     

Acid-labile surfactant improves in-sodium dodecyl sulfate polyacrylamide gel protein digestion for matrix-assisted laser desorption/ionization mass spectrometric peptide mapping

Mass spectrometry (MS) together with genome database searches serves as a powerful tool for the identification of proteins. In proteome analysis, mixtures of cellular proteins are usually separated by sodium dodecyl sulfate (SDS) polyacrylamide gel-based two-dimensional gel electrophoresis (2-DE) or one-dimensional gel electrophoresis (1-DE), and in-gel digested by a specific protease. In-gel protein digestion is one of the critical steps for sensitive protein identification by these procedures. Efficient protein digestion is required for obtaining peptide peaks necessary for protein identification by MS. This paper reports a remarkable improvement of protein digestion in SDS polyacrylamide gels using an acid-labile surfactant, sodium 3-[(2-methyl-2-undecyl-1,3-dioxolan-4-yl)methoxy]-1-propanesulfonate (ALS). Pretreatment of gel pieces containing protein spots separated by 2-DE with a small amount of ALS prior to trypsin digestion led to increases in the digested peptides eluted from the gels. Consistently, treatment of gel pieces containing silver-stained standard proteins and those separated from tissue extracts resulted in the detection of increased numbers of peptide peaks in spectra obtained by matrix-assisted laser desorption/ionization time of flight mass spectrometry (MALDI-TOFMS). Hence the present protocol with ALS provides a useful strategy for sensitive protein identification by MS.     

Assignment of human plasma polypeptides on a nondenaturing 2-D gel using MALDI-MS and PMF and comparisons with the results of intact protein mapping

Human plasma proteins were separated by 2-DE under nondenaturing conditions followed by the assignment of the CBB-stained spots using MALDI-MS and PMF, aiming to correlate the information of intact proteins with that of constituent polypeptides. A microgel system was employed to facilitate the analysis. Totally 157 spots on a nondenaturing micro-2-DE gel were numbered, the spots were excised, the proteins in the gel pieces were subjected to in-gel digestion with trypsin followed by polypeptide analysis using MALDI-MS and PMF. Two PMF algorithms, MASCOT (with Swiss-Prot database) and ProFound (with NCBInr database) were employed. A total of 153 spots out of the 157 provided significant match (p <0.05) with polypeptides in databases. Eighty spots were assigned to contain multiple (2-4) polypeptides, suggesting (i) noncovalent interaction between proteins/polypeptides, (ii) disulfide bonding of polypeptides, or (iii) overlapping of the protein locations on the gel. The results of polypeptide assignment coincided very well with the results of protein mapping previously reported, in which 33 plasma proteins were identified using blotting-immunochemical staining (Manabe, T., Takahashi, Y., Higuchi, N., Okuyama, T., Electrophoresis 1985, 6, 462-467). Further, 19 polypeptides in 25 spots were newly assigned. These results demonstrate that the techniques of MALDI-MS and PMF can be applied for analysis of proteins separated on nondenaturing 2-DE gels, providing information on their polypeptide structure. The integrated information on proteins and polypeptides would help the comprehensive understanding on the functions of complex protein systems.     

Bottom-up proteomics of envelope proteins extracted from spinach chloroplast via high organic content CE-MS

A high organic content CE-MS/MS (HOCE-MS/MS) method was developed for the proteomic analysis of envelope proteins extracted from spinach leaves. Separation was performed in a 1-m long hydroxypropyl cellulose coated capillary, using 8% (v/v) formic acid in 70% (v/v) methanol and 22% water as the BGE. A flow-through microvial interface was used to couple the CE system with an Orbitrap Fusion Lumos mass spectrometer, and field-amplified sample stacking was used to improve the concentration sensitivity. Using this optimized method, 3579 peptides and 1141 proteins were identified using the Proteome Discoverer software with a 1% false discovery rate at the protein level. Relative to conventional aqueous CE, HOCE-MS did a better job of discovering hydrophobic peptides and provided more peptide and protein identifications. Relative to nano-LC-MS, it achieved comparable peptide and protein identification performance and detected peptides not identified by LC-MS: of the full set of peptides identified using the two techniques, 19% were identified only using HOCE-MS. It also outperformed nano-LC-MS with respect to the detection of low molecular weight peptides.     

Systematic comparison of technical details in CBB methods and development of a sensitive GAP stain for comparative proteomic analysis

Considering the importance of CBB staining in visualizing proteins in 2-DE gels, any improvement in the existing protocols with high sensitivity and good MS compatibility is of significant importance. In this study, we systematically evaluated the effects of different staining parameters on CBB methods by 1-DE and 2-DE, and demonstrated that G-250 was more suitable for visualizing low-abundant proteins as well as generating more spots than R-250, whereas R-250 had a superior capability for quick staining of high-abundant proteins. The staining produced by mixing G-250 and R-250 in different ratios showed similar sensitivity. Compared with acetic acid, phosphoric acid produced more protein spots. Ammonium-based stain demonstrated a superior sensitivity than the aluminum-based one. Based on these findings, a new protocol using CBB G-250, ammonium sulfate and phosphoric acid (GAP) was developed by incorporating the fixation, sensitization and staining procedures together. The comparison of GAP with other methods revealed that GAP generated more protein spots and had wider applications. The identification of 11 proteins demonstrated that GAP was not only compatible with MS but also obviously reduced in vitro protein modification, and thus could be a preferable protocol in the future proteomic analysis.     

Proteome analysis of human stomach tissue: separation of soluble proteins by two-dimensional polyacrylamide gel electrophoresis and identification by mass spectrometry

Two-dimensional gel electrophoresis (2-DE) maps for human stomach tissue proteins have been prepared by displaying the protein components of the tissue by 2-DE and identifying them using mass spectrometry. This will enable us to present an overview of the proteins expressed in human stomach tissues and lays the basis for subsequent comparative proteome analysis studies with gastric diseases such as gastric cancer. In this study, 2-DE maps of soluble fraction proteins were prepared on two gel images with partially overlapping pH ranges of 4-7 and 6-9. On the gels covering pH 4-7 and pH 6-9, about 900 and 600 protein spots were detected by silver staining, respectively. For protein identification, proteins spots on micropreparative gels stained with colloidal Coomassie Brilliant Blue G-250 were excised, digested in-gel with trypsin, and analyzed by peptide mass fingerprinting with delayed extraction-matrix assisted laser desorption/ionization-mass spectrometry (DE-MALDI-MS). In all, 243 protein spots (168 spots in acidic map and 75 spots in basic map) corresponding to 136 different proteins were identified. Besides these principal maps, overview maps (displayed on pH 3-10 gels) for total homogenate and soluble fraction, are also presented with some identifications mapped on them. Based on the 2-DE maps presented in this study, a 2-DE database for human stomach tissue proteome has been constructed and is available at http://proteome.gsnu.ac.kr/DB/2DPAGE/Stomach/. The 2-DE maps and the database resulting from this study will serve important resources for subsequent proteomic studies for analyzing the normal protein variability in healthy tissues and specific protein variations in diseased tissues.     

Thermal denaturation produced degenerative proteins and interfered with MS for proteins dissolved in lysis buffer in proteomic analysis

In 1-DE, proteins were traditionally mixed with the standard Laemmli buffer and boiled for several minutes. Recently, proteins dissolved in lysis buffer were used to produce better-resolved 2-DE gels, but thermal denaturation procedure still remained in some proteomic analysis. To determine the detailed effects of thermal denaturation on SDS-PAGE and MS, both 1-DE and 2-DE were performed using proteins heated at 100°C for different periods of time, and 17 protein bands/spots were positively identified by MALDI TOF/TOF MS/MS. Protein profiles on both 1-DE and 2-DE gels changed obviously and more polydisperse bands/spots were observed with increased heating time for over-heated samples. Based on these observations, an alternative protein marker-producing method was designed by directly dissolving protein standards without BSA into lysis buffer. This new kind of protein marker could be stored at room temperature for a long time, thus was more convenient for using and shipping. The identification of 17 proteins via MS and comparison of their identities revealed MASCOT-searched scores, number of both matched peptides, total searched peptides and sequence coverage became progressively lower with increasing denaturation intensity, probably due to the interference of thermal denaturation on trypsin cleavage efficiency and produced redundant modified peptides. Therefore, it was concluded that thermal denaturation not only changed the protein profiles and produced more polydisperse protein bands/spots, but also heavily interfered with the subsequent MS analysis, hence not recommended in future proteomic analysis for proteins dissolved in lysis buffer.     

Comprehensive proteome analysis of mouse liver by ampholyte-free liquid-phase isoelectric focusing

In this study, ampholyte-free liquid-phase IEF (LIEF) was combined with narrow pH range 2-DE and SDS-PAGE RP-HPLC for comprehensive analysis of mouse liver proteome. Because LIEF prefractionation was able to reduce the complexity of the sample and enhance the loading capacity of IEF strips, the number of visible protein spots on subsequent 2-DE gels was significantly increased. A total of 6271 protein spots were detected after integrating five narrow pH range 2-DE gels following LIEF prefractionation into a single virtual 2-DE gel. Furthermore, the pH 3-5 LIEF fraction and the unfractionated sample were separated by pH 3-6 2-DE and identified by MALDI-TOF/TOF MS, respectively. In parallel, the pH 3-5 LIEF fraction was also analyzed by SDS-PAGE RP-HPLC MS/MS. LIEF-2-DE and LIEF-HPLC could obviously improve the separation efficiency and the confidence of protein identification, which identified a higher number of low-abundance proteins and proteins with extreme physicochemical characteristics or post-translational modifications compared to conventional 2-DE method. Furthermore, there were 207 proteins newly identified in mouse liver in comparison with previously reported large-scale datasets. It was observed that the combination of LIEF-2-DE and LIEF-HPLC was effective in promoting MS-based liver proteome profiling and could be applied on similar complex tissue samples.     

Peptidomic analysis of human acquired enamel pellicle

Human acquired enamel pellicle is the result of a selective interaction of salivary proteins and peptides with the tooth surface. In the present work, the characterization of the peptides as well as the type of interactions established with the enamel surface was performed. Peptides from in vivo bovine enamel implants in the human oral cavity were sequentially extracted using guanidine and trifluoroacetic acid solutions and the fractions obtained were analysed by LC-MS and LC-MS/MS. Based on the LC-MS data, six phosphorylated peptides were identified in an intact form, strongly adsorbed to the enamel surface. Data from the LC-MS/MS analyses allowed us to identified 30 fragment peptides non-covalently bonded to enamel [basic proline-rich proteins, histatins (1 and 3) and acidic proline-rich protein classes]. The tandem mass spectrometry experiments showed the existence of a pattern of amide bond cleavage for the different identified peptide classes suggesting a selective proteolytic activity. For histatins, a predominance of cleavage at Arg, Lys and His residues was observed, while for basic proline-rich proteins, cleavage at Arg and Pro residues prevailed. In the case of acidic proline-rich proteins, a clearly predominance of cleavage of the Gln-Gly amide bond was evident.     

Noncovalent interactions in human plasma proteins analyzed by the comparison of nondenaturing and denaturing micro-2-D gel electrophoresis patterns after polypeptide assignment using matrix-assisted laser desorption/ionization-mass spectrometry and peptide mass fingerprinting

Previously, we reported the analysis of human plasma proteins by 2-DE under nondenaturing conditions (Type-I 2-DE) followed by the assignment of stained spots using MALDI-MS and PMF [1]. Here, we employ 2-DE conditions modified only in the second-dimensional separation; SDS was added in the gradient slab gel aiming to dissociate noncovalently bound proteins/polypeptides (Type-II 2-DE). Totally 169 CBB-stained spots on a micro-2-DE gel were numbered and subjected to polypeptide assignment using MALDI-MS-PMF. One hundred sixty spots out of the 169 provided significant match (p <0.05) with polypeptides in databases. Comparisons of the results of polypeptide assignment on the two 2-DE patterns indicated that 10 polypeptides in 20 stained spots on the Type-I 2-DE pattern [1] shifted toward low-molecular-weight positions on the Type-II 2-DE pattern, demonstrating the presence of noncovalent interactions. Seventeen polypeptides in 38 stained spots were only assigned on the Type-II 2-DE gel, which could mostly be accounted for by the disruption of noncovalent protein-protein interactions in the presence of SDS, i.e., protein/polypeptide complexes which might form smear bands on the Type-I 2-DE gel dissociate to form clear spots on the Type-II 2-DE gel. The method employed here, comparisons of nondenaturing and denaturing 2-DE maps with polypeptide assignment by MALDI-MS-PMF, would enable the simultaneous detection of multiple noncovalent interactions in complex protein/polypeptide systems.     

Assessing matrix assisted laser desorption/ ionization-time of flight-mass spectrometry as a means of rapid embryo protein identification in rice.

Rice embryo proteins were separated by two-dimensional gel electrophoresis (2-DE). A total of 105 spots were digested with trypsin and the resultant peptides were analyzed by matrix assisted laser desorption/ionization-time of flight-mass spectrometry (MALDI-TOF-MS). Raw mass spectra were fully-automatically processed and searched with selected monoisotopic masses against SWISS-PROT/TrEMBL and NCBInr databases. High quality mass spectra were obtained from 53 spots, of which 36 spots were identified including 29 not registered in databases. Fifty percent of the rice embryo proteins resolved in 2-DE could not be identified, indicating more efficient sample preparation techniques need to be developed in the future. At least four to five matching peptides were found to be essential for unambiguous identification of rice embryo proteins; peptide matching of less than four lead to ambiguous results. The suitability of peptide mass fingerprinting method as a means of rapid embryo protein identification in rice was discussed.     

Development of an integrated approach for evaluation of 2-D gel image analysis: impact of multiple proteins in single spots on comparative proteomics in conventional 2-D gel/MALDI workflow

With 2-D gel mapping, it is often observed that essentially identical proteins migrate to different positions in the gel, while some seemingly well-resolved protein spots consist of multiple proteins. These observations can undermine the validity of gel-based comparative proteomic studies. Through a comparison of protein identifications using direct MALDI-TOF/TOF and LC-ESI-MS/MS analyses of 2-D gel separated proteins from cauliflower florets, we have developed an integrated approach to improve the accuracy and reliability of comparative 2-D electrophoresis. From 46 spots of interest, we identified 51 proteins by MALDI-TOF/TOF analysis and 108 proteins by LC-ESI-MS/MS. The results indicate that 75% of the analyzed spots contained multiple proteins. A comparison of hit rank for protein identifications showed that 37 out of 43 spots identified by MALDI matched the top-ranked hit from the ESI-MS/MS. By using the exponentially modified protein abundance index (emPAI) to determine the abundance of the individual component proteins for the spots containing multiple proteins, we found that the top-hit proteins from 40 out of 43 spots identified by MALDI matched the most abundant proteins determined by LC-MS/MS. Furthermore, our 2-D-GeLC-MS/MS results show that the top-hit proteins in 44 identified spots contributed on average 81% of the spots' staining intensity. This is the first quantitative measurement of the average rate of false assignment for direct MALDI analysis of 2-D gel spots using a new integrated workflow (2-D gel imaging, "2-D GeLC-MS/MS", and emPAI analysis). Here, the new approach is proposed as an alternative to traditional gel-based quantitative proteomics studies.     

Reference map of soluble proteins from Streptococcus thermophilus by two-dimensional electrophoresis

Streptococcus thermophilus is a lactic acid bacterium widely used for the production of fermented dairy products. The two-dimensional electrophoresis (2-DE) protein profile was obtained from three independent analyses of 2-DE gels of soluble proteins of the strain PB18. About 270 spots were detected by silver staining and the average molecular weight and isoelectric point of each protein spot were calculated to be 41 600 and 5.2, respectively. Twelve proteins were purified by chromatographic techniques because their concentration was too low for direct sequencing from blots. Eleven were located in the PB18 2-DE profile after silver staining. These preliminary results contribute to the setting up of a two-dimensional image (or reference map) of the proteins from S. thermophilus in order to identify and compare strains of various origin or to follow metabolic process such as stress. Bidimensional autoradiographs of two strains (PB18 and ST105) of S. thermophilus grown in exponential phase at 42 degrees C with [35S]methionine were compared with an image analysis system. Among the eleven located proteins in the 2-DE silver-stained profile, nine were found in PB18 and eight in ST105 autoradiographs. One protein was specific to PB18. The eight proteins could play the role of internal 2-D PAGE markers of p/ and Mr for S. thermophilus.     

An insight into the abundant proteome of 46BR.1G1 fibroblasts deficient of DNA ligase I

This work presents the proteome profile of cultured human skin fibroblasts established from a patient affected by DNA ligase I (Lig I) deficiency syndrome, a rare disorder characterized by immunodeficiency, growth retardation and sun sensitivity. 2-DE (in the 3-10 and 4-7 pH ranges) was the separation technique used for the production of maps. MALDI-TOF/MS and LC-MS/MS were the mass spectrometry platforms applied for the identification of proteins in gel spots. A total of 154 proteins, including 41 never detected before in skin fibroblasts with this approach, were identified in gel spots analyzed. This newly generated extensive database provides for the first time a global picture of abundant proteins in 46BR.1G1 skin fibroblasts. While being relevant to the particular disorder considered, these results may be regarded as an intriguing starting point on the way to achieve a reference map of the proteins highly expressed in an inherited syndrome with defect in DNA replication and repair pathways.     

Toward an integrated microchip sized 2-D polyacrylamide slab gel electrophoresis device for proteomic analysis

We describe a miniaturized instrument capable of performing 2-DE. Our miniaturized device is able to perform IEF and polyacrylamide slab gel electrophoresis (PASGE) in the same unit. It consists of a compartment for a first-dimensional IEF gel, which is connected to a second-dimensional PASGE gel. The focused samples are automatically transferred from the IEF gel to the PASGE gel by electromigration. Our preliminary experiments show that the device is able to focus and separate a mixture of proteins in approximately 1 h, excluding the time required for the staining procedure. On average, the gel-to-gel retardation factor (Rf) variation was 6.2% (+/-0.9%) and pI variation was 2.5% (+/-0.6%). Separated protein spots were excised from stained gels, digested with trypsin, and further identified by MS, thus enabling direct proteomic analysis of the separated proteins.     

The comparison between 2DE-MS and bottom-up LC-MS demands high-end techniques for both technologies

In contrast to bottom-up LC-MS only 2DE-MS can separate and detect a huge number of human protein species. Kwiatkowski et al. (in this issue) established parameters to estimate the amount of protein speciation for each human protein. Proteins identified in 2DE-MS approaches showed more protein speciation than in bottom-up LC-MS. The authors state that protein speciation is likely to increase the chance of proteins to be determined in 2-DE/MS, though admitting that low-sensitivity 2DE-MS methods were used in this study. In agreement with Kwiatkowski et al., we are convinced that the difference between 2DE-MS and bottom-up LC-MS will disappear, if high-resolution 2DE is combined with identification by a high-sensitivity LC-Orbitrap-MS. Meta-analysis of proteomic data is surely a promising tool, though the technological progress in 2DE and MS has to reach a plateau to enable useful comparisons.     

The extent and effects of peptide sequence scrambling via formation of macrocyclic <Emphasis Type="Italic">b</Emphasis> ions in model proteins

The extent and effects of sequence scrambling in peptide ions during tandem mass spectrometry (MS/MS) have been examined using tryptic peptides from model proteins. Sequencescrambled b ions appeared in about 35% of 43 tryptic peptides examined under MS/MS conditions. In general, these ions had relatively low abundances with averages of 8% and 16%, depending on the instrumentation used. A few tryptic peptides gave abundant scrambled b ions in MS/MS. However, peptide and protein identifications under proteomic conditions with Mascot were not affected, even for these peptides wherein scrambling was prominent. From the 43 tryptic peptides that have been investigated, the conclusion is that sequence scrambling is unlikely to impact negatively on the accuracy of automated peptide and protein identifications in proteomics.     

Novel staining-free proteomic method for simultaneous identification of proteins and determination of their pI values by using low-molecular-mass pI markers

A new proteomic staining-free method for simultaneous identification of proteins and determination of their pI values by using low-molecular-mass pI markers is described. It is based on separation of proteins in gels by IEF in combination with mass spectrometric analysis of both peptides derived by in-gel digestion and low-molecular-mass pI markers extracted form the same piece excised from the gel. In this method, the pI markers are mixed with a protein mixture (a commercial malted barley protein extract) deposited on a gel and separated in a pH gradient. Color pI markers enable supervision of progress of focusing process. Several separated bands of the pI markers (including separated proteins) were excised and the pI markers were eluted from each gel piece by water/ethanol and identified by MALDI-TOF/TOF MS. The remaining carrier ampholytes were then washed out from gel pieces and proteins were in-gel digested with trypsin or chymotrypsin. Obtained peptides were measured by MALDI-TOF/TOF MS and proteins were identified via protein database search. This procedure allows omitting time-consuming protein staining and destaining procedures, which shortens the analysis time. For comparison, other IEF gels were stained with CBB R 250 and proteins in the gel bands were identified. Similarity of the results confirmed that our approach can give information about the correct pI values of particular proteins in complex samples at significantly shorter analysis times. This method can be very useful for identification of proteins and their post-translational modifications in prefractioned samples, where post-translational modifications (e.g., glycation) are frequent.     

The resistance of metallothionein to proteolytic digestion: an LC-MS/MS analysis

Metallothioneins (MTs) are a family of cysteine-rich metalloproteins which strongly bind to heavy metals, such as Cd(II), Zn(II), and Cu(I). Previous works by other group using gel electrophoresis and fluorescence showed MTs were resistant to proteolytic digestion by a variety of enzymes, raising the difficulties in proteomic identification of MTs. The present work was attempted to analyze the resistance of MTs to trypsin using LC with MS/MS (LC-MS/MS), which was able to determine the sequences of the produced peptides and thus precisely characterize the cleavages. The results showed that metal-saturated MTs were completely resistant to trypsin. This resistance problem could be overcome by the addition of EDTA to MT samples, which rendered MTs readily digested into peptides and identified by MS/MS. Interestingly, the partially metal binding MTs were digested into peptides predominantly with miss cleavages which were well dependent on the amount of heavy metals bound to MTs. An explanation for these observations was proposed. The potential applications of the MT's resistance to trypsin in isolation and identification of MTs in complex mixtures such as cultured cells was demonstrated. The preliminary data also showed the same proteomic approach of proteolytic digestion followed by MS/MS analysis may provide information on metal binding status of MTs, along with the identification of MTs in a mixture.