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LJ: Application of protein or protein hydrolysates selleck screening library to improve postexercise recovery. Int J Sport Nutr Exerc Metab 2007,17(Suppl):S104-S117.PubMed 16. Athira S, Mann B, Sharma R, Kumar R: Ameliorative potential of whey protein hydrolysate against paracetamol-induced oxidative stress. J Dairy Sci 2013,96(3):1431–1437.PubMedCrossRef 17. Thomas D, Marshall KI: Effects of repeated exhaustive exercise on myocardial subcellular membrane structures. Int J Sports Med 1988,9(4):257–260.PubMedCrossRef 18. Harder U, Koletzko B, Peissner W: Quantification of 22 plasma amino acids combining derivatization and ion-pair LC–MS/MS. J Chromatogr B Analyt Technol Biomed Life Sci 2011,879(7–8):495–504.PubMedCrossRef 19. Cuisinier C, Ward RJ, Francaux M, Sturbois X, de Witte P: Changes in plasma

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3) NS   Burn 2 (1 7) 2 (0 9) NS ISS (mean ± SD) 21 8 ± 7 6 21 8 ±

3) NS   Burn 2 (1.7) 2 (0.9) NS ISS (mean ± SD) 21.8 ± 7.6 21.8 ± 6.9 NS Probability of survival (mean ± SD) 78.1 ± 24.65 84.4 ± 19.69 0.01 Head AIS (mean ± SD) 4.21 ± 0.765 3.86 ± 0.944 0.001 GCS SBE-��-CD concentration upon admission (mean ± SD) 11.85 ± 4.21 13.73 ± 2.89 <0.0001 Intubation (n, %)   At scene 11 (9.2) 5 (2.2) <0.01   In ED 8 (6.7) 18 (8.1) NS Required operation (n, %) 38 (31.9) 89 (39.9) NS LOS (mean ± SD) 20.03 ± 19.51 16.09 ± 16.9 0.05 Admitted to ICU (n, %) 62 (52.1) 111 (49) NS Blood transfusion (n, %) 55 (46.2) 104 (46.6) NS In-hospital complications (n, %) 23 (19.3) 47 (21.1) NS Discharge destination (n, %)   Rehabilitation 18 (15.1) 66 (29.6) <0.01   Home 35 (29.4) 112 (50.2) <0.001

  Assistant living facility 65 (54.6) 38 (17.0) <0.0001   Other hospital 1 (0.8) 7 (3.1) NS MOI–mechanism of injury; ED–emergency department; LOS–length of stay; ICU–intensive care unit; SD–standard deviation; MVA–motor vehicle accident; GCS–Glasgow Coma Scale; AIS–abbreviated

injury score; ISS–injury severity score; NS–not significant. Effect of co-morbidity on survival The impacts of pre-existing co-morbidities on survival following check details discharge are noted in Table 3. On univariate analysis, dementia, ischemic heart disease (IHD), diabetes Autophagy Compound Library mellitus (DM), and hypertension (HTN) were found to be significantly associated with post discharge death (p < 0.05 for all). Of note, malignancy and COPD failed to impact survival, but the number of patients in these groups was insufficient to draw any conclusions. The mean number of co-morbidities was significantly associated with long-term mortality (p < 0.0001) (Table 3). Table 3 Univariate analysis of the effect of co-morbidities on survival   Non-survivors Survivors P value   (n = 119)

(n = 223)   CRF 11 (9.2) 9 (4.0) 0.05 Anti-coagulant therapy 6 (5.0) 24 (10.8) 0.1 HTN 56 (47.1) 78 (35.0) 0.03 IHD 38 (31.9) 49 (22.0) 0.05 DM 35 (29.4) 39 (17.5) 0.01 COPD 1 (0.8) 2 (0.9) NS Dementia 18 (15.1) 1 (0.5) <0.0001 CVA and/or neurologic disease 20 (16.8) 21 (9.4) 0.05 Malignancy 5 (4.2) 4 (1.8) NS ≥3 co-morbidities 26 (21.9) 31 Meloxicam (13.9) 0.06 Mean number of co-morbidities 1.6 ± 1.1 1.0 ± 1.2 <0.0001 CRF–chronic renal failure; HTN–hypertension; IHD–ischemic heart disease; DM–diabetes mellitus; COPD–chronic obstructive pulmonary disease; CVA–cerebro-vascular accident. Analysis of post-discharge mortality In order to analyze post-discharge mortality, patients were grouped into an ‘early’ group (mortality < 3 months post-injury) and a ‘late’ group (mortality >3 months post -injury). The pattern of injury, GCS upon arrival, and co-morbidities were not different between the groups. Early post-discharge mortality (≤90 days) occurred in 17 patients (14.3%), while 102 patients (85.7%) died >90 days following discharge (Table 4). Of note, post-discharge mortality was not affected by admission parameters, but by hospital course.

Figure 2 Hierarchical clustering of the 114 genes that were found

Figure 2 Hierarchical clustering of the 114 genes that were found to be significantly differentially expressed in at

least one comparison between a mutant and the wild-type parent strain. A18, A36, and A48 refer to comparison of whiA mutant cDNA to wild-type cDNA prepared from developmental selleckchem time points 18 h, 36 h, and 48 h, respectively. H refers to similar comparisons of whiH to wild-type at the given time points, and wt36 and wt48 refer to comparison of cDNA from wild-type strain at 36 h and 48 h, respectively, compared to the 18 h sample (as illustrated in Figure  1). Colour-coded expression values (log2) are shown, where blue indicates lower expression and yellow indicates higher expression in mutant compared to wild-type (or in wild-type 36 h or 48 h sample compared to 18 h sample). Grey boxes indicate comparisons for which there is no expression selleck chemicals llc value since not all four arrays showed at least one good spot. Both hierarchical clustering of the 114 differentially expressed genes according to their expression profiles (Figure  2) and grouping in a Venn diagram (Figure  3) indicated

four dominant patterns. Genes with increased expression in a mutant compared to wild-type parent fell into two distinct subgroups at 48 h, showing overexpression only in the whiA or the whiH mutant, respectively. Only one gene was significantly overexpressed in both mutants (SCO3113). Among the genes with down-regulated expression in at least one mutant, the majority showed increased expression during development of the wild-type strain, further supporting the notion that these genes are related to the sporulation process. Two main subgroups were recognised, with one being affected by both whiA and whiH, and the other only affected by whiA (Figures  2 and 3). Figure  Megestrol Acetate 3 indicates three genes that may specifically depend on whiH for developmental up-regulation, but closer examination of the data showed

that all three (SCO0654, SCO6240, SCO7588) have decreased expression in the whiA mutant also, albeit with a Benjamini-Hochberg corrected p-value >0.05 (Additional file 1: Table S1). Thus, all of the genes that were down-regulated in the whiH strain appeared to be also down-regulated in the whiA mutant, while another group only depended on whiA and not whiH. This is consistent with whiA mutations Fludarabine molecular weight giving a more complete block of sporulation than whiH mutations [15], and it suggests that there may be very few genes that specifically depend on whiH for expression. Figure 3 Venn diagrams showing the distributions of differentially expressed genes (with a Benjamini-Hochberg corrected p-value <0.05) among samples from the whiA (A) and whiH (H) mutants and different time points (36 h and 48 h).

The molecular masses from m/z 0–2 k were excluded from analysis b

The molecular masses from m/z 0–2 k were excluded from analysis because they were mainly the signal noises of the energy absorbing molecule (EAM). The Biomarker Wizard (Ciphergen Biosystems) was subsequently used to make peak detection and clustering across all spectra in the training set with the following settings: signal/noise (first pass): 5; minimum peak threshold: 15% of all; mass error: 0.3%; and signal/noise (second pass): 2 for the m/z 2–20 k mass Akt inhibitor range. MEK162 price Corresponding peaks in the spectra from the test set were likewise identified using the clustering data from the training set by the same software. The spectral data of the training

set were then exported as spreadsheet files and then further analyzed by the see more Biomarker Pattern Software (BPS) (version 4.0; Ciphergen Biosystems) to develop a classification tree. Decision Tree Classification One of the objectives of SELDI-TOF MS data analysis is to build a Decision Tree that is able to determine the target condition (case or control, cancer or non-cancer) for a given patient’s profile. Peak mass and intensity were exported to an excel file, then transferred to BPS. The classification model was built up with BPS. A Decision Tree was set up to divide the training dataset into either the

cancer group or the control group through multiple rounds of decision-making. When the dataset was first transferred to BPS, the dataset formed a “”root node”". The software tried to find the best peak to separate this dataset into two “”child

nodes”" based on peak ID-8 intensity. To achieve this, the software would identify the best peak and set a peak intensity threshold. If the peak intensity of a blind sample was lower than or equal to the threshold, this peak would go to the left-side child node. Otherwise, the peak would go to the right-side child node. The process would go on for each child node until a blind sample entered a terminal node, either labeled as cancer or control. Peaks selected by the process to form the model were the ones that yielded the least classification error when these peaks were combined to be used. The double-blind sample dataset was used to challenge the model. Peaks from the blind dataset were selected with Biomarker Wizard feature of the Software, following the exact conditions under which peaks from the training dataset were selected. The peak intensities were then transferred to BPS, and each sample was identified as either control or cancer based on the model. The results were compared to clinical data for model evaluation. To characterize the protein peaks of potential interest, serum profiling of patients with NPC and normal control was compared. Mean peak intensity of each protein was calculated and compared (nonparametric test) in each group of serum samples [11]. Statistical analysis Sensitivity was calculated as the ratio of the number of correctly classified diseased samples to the total number of diseased samples.

Results & discussion MAP concentrations in intestinal and liver t

Results & discussion MAP concentrations in intestinal and liver tissues Data described in Table 1 and Figure 1 and GDC-0449 mw Figure 2 reveal that MAP cells were present in intestinal tissues and the liver- organs which are associated with MAP infection and pathogenesis. Additionally, these data demonstrate that regardless of NP-51 consumption viable MAP cells were able to invade host tissues- as evidenced by granuloma formation in liver samples of animals fed viable or non-viable NP-51. However,

lower concentrations of MAP cells were observed in both intestinal and liver tissues at Day 90 (45 days post MAP infection) in animals that were also fed viable or nonviable NP-51, although not significant. There were no significant changes in MAP concentrations from intestinal tissues and an increase in TGF-beta family liver MAP concentrations were observed from Day 90 through Day 180, suggesting that MAP viability may not be deterred through the presence of probiotics (see Figure

1 and Figure 2). Table 1 Total animals (n = 4) demonstrating granuloma formations in liver tissues   K-MAP K-MAP + Selleckchem BI2536 L-NP-51 L-MAP L-MAP + L-NP-51 Day 90 3/4 3/4 4/4 4/4 Day 135 2/2* 3/4 4/4 3/4 Day 180 3/4 2/4 2/4 3/4 Tissues were stained with Hemotoxylin & Eosin (H & E stain) prior to evaluation. For K-MAP samples at Day 135, only two sets of animal tissues were available for examination due to early expiration of animals before the harvest date (these data are highlighted with ‘*’). Control animals did not demonstrate granuloma formation at Day 90 and Day 180; Day 135 control animals

were contaminated and were positive for granulomas in liver tissues. The data represent the number of animals that demonstrated granuloma formations per total animals examined (n =4). Experimental selleck chemical groups included are the following: animals fed normal chow and infected with viable MAP cells (Live-MAP; L-MAP); animals fed viable probiotics in chow and uninfected (Live NP-51; L-NP-51); animals fed viable probiotics in chow and infected with non-viable MAP cells (K-MAP + L-NP-51); animals fed viable probiotics in chow and infected with viable MAP cells (L-MAP + L-NP-51). These data demonstrate MAP infection of tissues regardless of viable or non-viable NP-51 consumption. Additionally, these data evidence that host tissues produce granulomas from exposure to K-MAP antigens. Figure 1 qRT-PCR Assay to Quantitate MAP from Infected BALB/c Mouse Tissues. Concentrations were determined using qRT-PCR analysis from large intestine and liver; The experimental groups analyzed were the following: Control (CNTRL); viable MAP (MAP); viable MAP with non-viable (killed) NP-51 (MAP + K-NP-51); viable MAP with viable (live) NP-51 (MAP + L-NP-51). For each experimental group n = 4. A: MAP Concentration in Large Intestinal Tissues. At DAY 180- there was a significant difference ‘*’ (P ≤ 0.

Both Rad-1 and Rad-51 NER defective lysates showed

no inc

Both Rad-1 and Rad-51 NER defective lysates showed

no incorporation (lanes 3 and 5). HBx expression in these mutant yeast lysates had no effect on the repair reaction (lane 4 and 6). This suggests that indeed specific DNA repair reaction has occurred in Figure 5A. These results are consistent with the hypothesis that HBx expressing wild type yeast lysates Sotrastaurin have diminished DNA repair efficiency of UV-damaged plasmid DNA. Figure 5 HBx impedes the DNA repair of UV damaged plasmid DNA in-vitro. (A) In vitro repair of UV-damaged pBR322 DNA using yeast lysates expressing HBx and its mutants. The repair reaction contained, 0.3 μg un-irradiated pUC18 and 0.3 μg UV-irradiated pBR322 substrate, was performed as discussed in the experimental procedure. Control plasmid (lane 1); HBx expressing plasmid (lane 2); and its mutant Glu120 (lane 3); Glu 121 (lane 4); Glu 124 (lane 5) and Napabucasin ic50 Glu 125 (lane6). Reactions were incubated for 6 hours at 30°C. Reactions were stopped by the addition of EDTA and then incubated with RNAse, SDS and proteinase K. Plasmids were digested with HindIII and loaded on 1% agarose gel. After overnight electrophoresis, the gel was photographed under near-UV transillumination with Polaroid film (right panel) and an autoradiograph of the dried

gel was obtained (left panel) (B) HBx is unable to repair the damaged plasmid DNA in Rad1 and Rad51 mutant yeast strain. Plasmid p-GAL4 why and pGAL4-X were transformed into yeast strains with normal RAD1 and RAD51 genes (lane 1, 2), with GW-572016 molecular weight deletion of Rad1 (lane 3, 4) and with deletion of RAd51 (lane 5-6). Nuclear extract were assayed for DNA repair of UV-damaged pUC18 DNA (C) HBx is unable to repair damaged plasmid DNA in SSL2 mutant (dead) and temperature sensitive yeast strain. Plasmid p-Gal4 and pGAL4-X were transformed into yeast strains with normal SSL2 (lane 1, 2) mutant SSL2-dead strain (lane 3, 4) and temperature strain (lane 5-6). Nuclear extracts were assayed for DNA

repair of UV-damaged pBR322 DNA The yeast ts strain was grown at room temperature (20-21°C). Next, we examined the ability of HBx to alter DNA excision repair reaction in a TFIIH mutant yeast strain (Figure 5C). Wild type yeast strain and two TFIIH mutant yeast strains ssl2 (dead) and ssl2 (ts) [37] were transformed with a control plasmid pGAL4 and HBx expressing pGAL4-X DNAs. Yeast lysates were prepared as described. UV-damaged pBR322 DNA was used. Consistent with our previous results, HBx expression in wild type strain diminished the ability to repair the DNA (lane 2). TFIIH mutant yeast lysates with HBx (lane 4 and 6) or without HBx (lanes 3 and 5) were equally deficient in DNA repair synthesis, suggesting that HBx impinge its influence on DNA repair via TFIIH. In summary, using myriad experimental strategies, our results implicate HBx in DNA repair process via its physical interactions with the helicase components of TFIIH.

Based on these characters, Luttrell (1973) included eight familie

Based on these characters, Luttrell (1973) included eight families, i.e. Botryosphaeriaceae, Dimeriaceae, Lophiostomataceae, Mesnieraceae, Mycoporaceae, Pleosporaceae, Sporormiaceae and Venturiaceae in Pleosporales. In their review of Tipifarnib in vitro bitunicate ascomycetes, von Arx and Müller (1975)

accepted only a single order, Dothideales, with two suborders, i.e. Dothideineae (including Atichiales, Dothiorales, Hysteriales and Myriangiales) and Pseudosphaeriineae (including Capnodiales, Chaetothyriales, Hemisphaeriales, Lophiostomatales, Microthyriales, Perisporiales, Pleosporales, Pseudosphaeriales and Trichothyriales). This proposal has however, rarely been followed. Three existing families, i.e. Lophiostomataceae, Pleosporaceae and Venturiaceae plus 11 other families were accepted in Pleosporales as arranged by Barr (1979a) (largely using Luttrell’s concepts,

Table 1), and she assigned these families to six suborders. The morphology of pseudoparaphyses was given much prominence at the ordinal level in this classification (Barr 1983). In particular the Melanommatales was introduced to accommodate taxa with trabeculate pseudoparaphyses (Sporormia-type centrum development) (Barr 1983), distinguished from cellular pseudoparaphyses (Pleospora-type centrum development) possessed Fer-1 order by members of Pleosporales sensu Barr. The order Melanommatales included Didymosphaeriaceae, Fenestellaceae, Massariaceae, Melanommataceae, Microthyriaceae, Mytilinidiaceae,

Platystomaceae and Requienellaceae (Barr 1990a). Table 1 Major circumscription changes of Pleosporales from 1955 to 2011 References Circumscription of Pleosporales Luttrell 1955 Pleospora-type centrum development. Müller and von Arx 1962 Ascomata TPCA-1 perithecoid, with rounded or slit-like ostiole; asci produced within a locule, arranged regularly in a single layer or irregularly scattered, surrounded with filiform pseudoparaphyses, cylindrical, ellipsoidal or sac-like. Luttrell 1973 Ascocarps perithecioid, Edoxaban immersed, erumpent to superficial on various substrates, asci ovoid to mostly clavate or cylindrical, interspersed with pseudoparaphyses (sometimes form an epithecium) in mostly medium- to large-sized locules. Barr 1979a Saprobic, parasitic, lichenized or hypersaprobic. Ascomata perithecioid, rarely cleistothecioid or hysterothecioid, peridium pseudoparenchymatous, pseudoparaphyses cellular, narrow or broad, deliquescing early at times, not forming an epithecium, asci oblong, clavate or cylindrical, interspersed with pseudoparaphyses, ascospores mostly asymmetric. Barr 1987b Saprobic, biotrophic or hemibiotrophic.

and

Chryseobacterium spp isolates were used as positive

and

Chryseobacterium spp. isolates were used as positive INK 128 and negative controls. rpoC qPCR design and test of primers DNA was extracted using InstaGene kit [Bio-Rad, Hercules (CA), USA]. Partial DNA dependent β’ subunit RNA polymerase (rpoC) gene sequences were amplified based on the RNA polymerase β’ subunit primers sequences described by Griffiths et al. [49] with the addition of sequence tags UP1s and UP2sr (rpoC_F 5’- GAAGTCATCATGACCGTTCTGCAATHGGNGARCCNGGNACNCA-3’ and rpoC_R 5’- AGCAGGGTACGGATGTGCGAGCCGGNARNCCNCCNGTDATRTC-3’; synthesized by Microsynth, Switzerland) to increase sequencing performance [50]. The PCR reaction was carried out in a total volume of 50 μl using 2.5 U HotStarTaq DNA Polymerase (QIAGEN-Switzerland), OSI-906 cell line 7 mM MgCl2, PCR Buffer 1X (QIAGEN-Switzerland), 0.2 mM dNTP (Roche, Switzerland), 0.2 μM of each forward and reverse primer, and 5 μl of InstaGene DNA extract. The thermal cycle started with 15 min HotStarTaq activation at 95°C followed by 36 cycles of 1 min at 94°C, 90 s at 55°C, 1 min at 72°C and eventually an elongation cycle of 7 min at 72°C. Sequences (GenBank access numbers JX657163-

JX657284) obtained from the rpoC gene general PCR were aligned using MEGA4 [51] and screened for a conserved species-specific selleck products fragment that would be used to design a set of primers and a TaqMan probe targeting specifically F. psychrophilum. Primers F.psychro_P1F 5’-GAAGATGGAGAAGGTAATTTAGTTGATATT-3’, F. psychro_P1R 5’- CAAATAACATCTCCTTTTTCTACAACTTGA-3’ and a minor groove binder (MGB), and probe F. psychrophilum_probe Depsipeptide 5’- AAACGGGTATTC TTCTTGCTACA -3’ (Applied Biosystems) labeled with FAM were tested in silico[52] and with BLAST (Basic local alignment

search tool [53]). The primers amplified a fragment of 164 bp. PCR was carried out in a final volume of 25 μl containing 1X Taq PCR Master Mix Kit (QIAGEN, Switzerland), 0.3 μM primers F. psychro_P1F and F. psychro_P1R, and 2.5 μl of genomic DNA. Conditions for amplification were 94°C for 1 min followed by 35 cycles of 94°C for 30 s, 56°C for 35 s and 72°C for 30 s, with a final elongation cycle of 7 min at 72°C. DNA of F. psychrophilum, Flavobacterium spp. and other bacterial species isolated from soil, water and fish were used to test sensitivity and specificity of the primers. All tested bacteria and their origin are listed in Table 1. qPCR cycling parameters The qPCR was carried out in a final volume of 20 μl containing 1× TaqMan Environmental Master Mix v.2.0 (Applied Biosystems), 0.9 μM of each primer, 0.2 μM of F. psychrophilum probe, 1X of internal control Exo IPC Mix, 1× of IC DNA (TaqMan Univ. MMix w Exog IntPostC, Applied Biosystems), and 2 μl of template DNA. An internal control was added to each reaction to check for PCR inhibitors. The run consisted of two cycles at 50°C for 2 min and 95°C for 10 min, followed by 40 cycles at 95°C for 15 s and 60°C for 1 min. All assays were carried out in triplicates.

Recent studies on laryngeal, esophageal, and uterine cervical car

Recent studies on laryngeal, esophageal, and uterine cervical carcinoma also found that the EGFR status of the primary tumor was retained NVP-HSP990 cost in the metastases [21–23]. There are few reports in the literature concerning the stability of EGFR protein expression between paired samples of NSCLC primary tumors and the corresponding metastases. In the studies by Italiano et al [26] and

Gomez-Roca et al [27], analyzed by immunohistochemistry, 33% of the cases with NSCLC showed discordance in EGFR status between primary tumor and metastases, suggesting that EGFR expression might not be stable during metastasis progression. However, according to the recent report by Badalian et al, the expression status of EGFR protein was reported to be highly similar in the bone metastasis compared to that in primary NSCLC, without positive to negative or negative to positive EGFR conversions occur in their small cohort of NSCLC [28]. Individual comparison of corresponding primary and metastatic tissues indicated that downregulation of EGFR was a rare event (2/11 cases) while upregulation was observed more frequently (4/11 cases), however, the expression level was maintained in about half of the analyzed cases. This observation suggests that EGFR expression status is relatively well-preserved https://www.selleckchem.com/products/azd9291.html during metastatic progression of NSCLC to the bone. In another study, Milas et al [18] reported on analysis of EGFR expression in 29 cases NSCLC with brain metastases.

Nine out of the 29 cases were studied regarding EGFR expression in the lymph node metastases. Immunostaining was present in 84% (21/25) of the primary tumors, in 56% (5/9) of the lymph nodes metastases, and in 59% (17/29) of the brain metastases. However, comparisons of paired samples from primary tumors and corresponding metastases were not made. There are conflicting results regarding the stability of EGFR protein

expression between paired samples of NSCLC primary tumors and the corresponding Ureohydrolase metastases, and our research add to the body of data on the subject. Conclusions The EGFR is commonly expressed in NSCLC, its expression in the primary tumor and the corresponding lymph node metastasis is discordant in about 10% of the patients. When overexpression is considered, the discordance is observed in about 20% of the cases. However, concerning EGFR overexpression in the primary tumors, similar expression in the metastases could be predicted with a reasonably high probability, which is encouraging for testing of EGFR targeted nuclide radiotherapy. Acknowledgements The authors thank Min Lin for help with the immunohistochemical stainings and Qi Dong for help with the photos in Figure 1. The authors acknowledge economical support from grants from Science and Technology Project of Zhejiang (No. 2009C34018), AR-13324 National Natural Science Foundation of China to Q Wei (No. 30970863). References 1. Jemal A, Siegel R, Ward E, Hao Y, Xu J, Thun MJ: Cancer statistics 2009.

Figure 2 shows I PA and the overall current density, J PA , defin

Figure 2 shows I PA and the overall current density, J PA , defined as the total current divided by the area of the array. The peak in J PA at s ≅ 2 h indicates the ideal spacing for FE applications [13, 14]. Note that J PA is HDAC cancer relatively small for s < h, so we shall focus

most of our analyses to the region where s > h. The currents and current densities shown in Figure 2 for the perfect uniform selleckchem lattice and uniform CNTs will be used to normalize the currents for the non-uniform structures. Figure 2 Field emission current I PA and current density J PA of a perfect array. The lattice spacing s is expressed in units of the CNT height h. The aspect ratio of the CNTs is 10 in this figure. Each simulation run, identified with the number of the run, k, has a particular set of randomized parameters that yield the normalized current, I k . The I k values from a 3 × 3 domain

present large variations, but after averaging 25 simulation runs, we obtain a smoother behavior, which is the expected values of the stochastic I k . The error in I k decreases by a factor of 1/√k. In FE experiments, the observed current is the average over a large number of CNTs. We did 25 simulation runs of 3 × 3 CNTs, which is physically similar to simulate 225 CNTs in one run. However, the latter calculation is impossible due to memory and numerical instability. Even a 3 × 3 array takes a rather long time to simulate, Pitavastatin and some of our results were not reliable at large spacing. We simulated arrays with 1 × 1, 2 × 2, 3 × 3, and 4 × 4 randomized CNTs. The average current depends on the size of the domain, but the convergence is fast. The normalized currents as a function of the spacing for 3 × 3 and 4 × 4 arrays are exactly the same within the error. Hence, a 3 × 3 domain is already large enough to represent a random field of CNTs. Results and discussion

Figure 3 shows the result Interleukin-2 receptor when only the positions of the CNTs are randomized (α p  = 1, α r  = α h  = 0). The normalized average I p  =  is shown in full circles. The gray line at I p  = 1 is drawn to guide the eye. The sine-like behavior of I p is a consequence of the step shape of I PA (see Figure 2), which increases fast at small s and saturates for s → ∞. The random positioning causes some CNTs to lump, while others form a sparser configuration. At small s, the field enhancement of the slightly isolated CNTs dominates the lumping of CNTs elsewhere, thus I p  > 1. On the other hand, for large s, the CNTs are practically isolated, and their field enhancement of the CNTs is almost at a threshold value. In this case, the current from isolated CNTs is almost constant, while the screening effect of the lumped regions significantly reduces the current, so I p  < 1.