The effect of increased resolving power was therefore further stu

The effect of increased resolving power was therefore further studied in MALDI-profiles obtained by Fourier transform ion cyclotron resonance (FTICR) MS, a platform that has

proven to be extremely powerful for the analysis of complex mixtures, such RG7204 molecular weight as oil, organic matter and plasma [21], [22] and [23]. With proper control, mass resolving powers higher than 100,000 (at m/z-value 1000 with 1 s transient) and low or sub-ppm mass measurement errors can be routinely obtained [24] and [25]. We have previously developed a MALDI-FTICR workflow on a commercially available platform equipped with a 15 T magnet that allows high-throughput and fully automated profiling of human serum peptides and proteins with isotopic resolution up to 15,000 Da [26] and [27]. By following this approach, in comparison to high resolution TOF analyzers the spectrum alignment Androgen Receptor antagonist is more accurate and the quantification of peptides more robust due to the improved mass measurement precision. In this study this MALDI-FTICR workflow in combination with SPE-based sample cleanup with RPC18-functionalized MBs was applied for the analysis of a clinical cohort. Here, “next-generation” MALDI-FTICR peptide and protein profiles were generated using serum samples obtained from PC patients

and control individuals (258 samples in total). Classification performances of both the calibration and validation set were compared to those previously obtained from the same PC cohort, either processed with different MBs or measured on a different mass analyzer. Discriminating peaks (i.e. a biomarker signature) defined from the calibration set were validated using an independent case–control group. Finally, the low ppm mass accuracy provided by the MALDI-FTICR platform narrows the search window for de novo identifications of peptides and proteins in the profiles. For the calibration set, serum samples were obtained from 49 patients with PC Orotidine 5′-phosphate decarboxylase prior to surgery, and from 110 (age- and gender-matched) healthy volunteers (“controls”) over a time period ranging from October 2002 until December 2008 at the outpatient clinic of

the Leiden University Medical Center (LUMC), the Netherlands. Healthy volunteers were partners or accompanying persons of included patients. For the validation set, serum samples were obtained from 39 patients and 75 healthy (age- and gender-matched) volunteers over a time period ranging from January 2009 until July 2010. Patients were selected candidates for curative surgery, thus no patients with primary irresectable tumors were included. All surgical specimens were examined according to routine histological evaluation and the extent of the tumor spread was assessed by TNM (TNM Classification of Malignant Tumors) classification. Informed consent was obtained from all subjects and the study was approved by the Medical Ethical Committee of the LUMC.

05% aqueous TFA) Dried samples were then analyzed using a Voyage

05% aqueous TFA). Dried samples were then analyzed using a Voyager DE STR MALDI/TOF mass spectrometer (Applied Biosystems, Warrington) as described previously [2]. Spectra represent the resolved monoisotopic [M+H]+ masses in positive reflector mode within the mass range m/z 500–2500. The MALDI laser was directed to areas close to, but not within, the tissue samples to avoid interference with energy transfer during ionization. Peptide sequence information was obtained by MALDI Post-Source Decay (PSD)

analysis of an acidified methanol extract of MAGs and SVs, performed using the Voyager instrument and angiotensin I as the standard for calibration. A PSD spectrum was produced from 7 to click here 8 spectral segments and stitched together using the Voyager software. Sequences were interpreted manually. MALDI/TOF-MS of HPLC fractions was performed by drying each fraction and re-dissolving in 10 μl of 70% (v/v) acetonitrile. A 0.5 μl aliquot of the fraction was then added to 0.5 μl matrix and mixed before transfer to a MALDI sample plate. After drying at room temperature, mass spectra were acquired on a Voyager DE STR MALDI/TOF instrument [2]. Samples were diluted 10-fold in 0.1% (v/v) TFA for fractionation by reversed phase EPZ015666 supplier high-performance liquid chromatography

(RP-HPLC) performed using a System Gold liquid chromatography system (Beckman Coulter Megestrol Acetate UK Ltd., High Wycombe, UK), utilizing a dual pump programmable solvent module 126 and a UV detector module 166 [2]. Samples were loaded via a Rheodyne loop injector onto a Jupiter C18 5 μm 300 Å column (250 mm × 2.1 mm internal diameter) fitted with a 30 mm × 2.1 mm guard column (Phenomenex, Macclesfield, UK). The column was eluted with a linear gradient of 10–60% acetonitrile/0.1% TFA, over 50 min at a flow rate of 0.2 ml/min, and elution monitored at 215 nm.

Fractions (0.2 ml) were collected and dried by centrifugal evaporation for immunoassay or mass analysis. Peptides were quantified using an indirect enzyme-linked immunosorbent assay (ELISA) for peptides with a C-terminal RFamide, as described previously [1]. Briefly, either HPLC fractions or synthetic Aea-HP-1 (pERPhPSLKTRFamide; pE, pyro-glutamic acid, hP, 4-hydroxyproline; amide, amidated C-terminus) custom synthesized by Biomatik, Cambridge, Canada) were dried onto multiwell plates (Sigma–Aldrich Co., Dorset, UK) at 37 °C, then incubated overnight at 4 °C with 100 μl of 0.1 M bicarbonate (coating) buffer (pH 9.6). Plates were washed three times with 150 μl of 10 mM phosphate–buffered saline 0.1% (w/v) Tween-20 (PBS-T), blocking solution (150 μl; 2% w/v non-fat milk in PBS-T) was added, and the plates incubated for 90 min at 37 °C. After a further PBS-T wash, 100 μl of primary anti-FMRFamide antiserum (Bachem UK Ltd., St.

Using the definition above 9/10 PBMC samples were responsive to t

Using the definition above 9/10 PBMC samples were responsive to the CMV and 9/10 to the CEF peptide pool (Table 2), independent of the storage condition. Also, with 0–12 spot-forming cells per 106 PBMC, the background was very low, independent of the sample storage (data not shown). The results indicated that repeated temperature fluctuation during sample storage decreases the antigen-specific immune response of T-cells measured by IFN-γ ELISpot (Fig. 7). We detected only a small decrease in T-cell functionality using the protective hood system. Using this system we detected a mean reduction of −6.54% (±15.89) in response

to CEF peptide pool antigen-stimulation, ranging from +5.60% to −37.85% for different donors. A similar average decrease of −4.36% (±8.24) in T-cell function after T-cell stimulation using the CMV peptide pool was also detectable. The differences in FK506 mw CMV specific immune responses ranged from +6.25% to −15.12%. In contrast, a strong reduction in the immune response was detected for samples

exposed to temperature fluctuations, with cyclical temperature Selleckchem Dabrafenib rises towards room temperature, when compared to samples stored without any temperature cycling. Repeated sample storage and removal without the use of the protected hood system led to an average decrease of −29.71% (±25.36) in response to the CEF peptide pool and −28.02% (±20.69) after antigene stimulation with the CMV peptide pool as. In comparison,

in samples stored without temperature fluctuation the reduction ranged from +3.09% to −44.38% and from −0.89% to −66.24% in response to the CEF and CMV peptide pool, respectively. In summary, these results show that the maintenance of cell viability, recovery and T-cell functionality is strongly dependent on maintaining the samples in storage conditions without temperature fluctuations. Repeated temperature shifts led to a decrease in all measured parameters. Cryopreservation of cells offers many advantages to the research community, such as banking of multiple aliquots of cells from multicenter studies of large cohorts of individuals. It allows precious samples to be available for future studies, often using newly developed techniques or assays. 4-Aminobutyrate aminotransferase Additionally, samples of the same donor banked over time can be simultaneously processed, allowing greater inter- and intra-laboratory control and reducing costs. High-quality and reproducible cryopreservation of specimens is extremely important and demanding for the success of these studies. Cryopreservation can have significant effects and on PBMC viability, recovery and functionality [39] and [49] and many parameters are known to influence recovery including population purity, processing time, freezing medium, thawing and overnight culture conditions [5], [9], [12], [14], [21], [24] and [36].

Two of these metalloproteinases, originally called Lachesis hemor

Two of these metalloproteinases, originally called Lachesis hemorrhagic factors I and II (LHF-I and LHF-II; corresponding to mutalysin-I and mut-II), were previously purified and characterized [37]. Mut-II is a P-I class SVMP single chain protein of 22.5 kDa with broad substrate specificity and a minor hemorrhagic effect [38]. Our previous results showed that

the neutralizing monoclonal antibody LmmAbB2D4, produced against L. muta muta venom, recognizes mut-II and neutralizes the hemorrhagic effect of L. muta and several Bothrops crude venoms [11] and [39]. However, the ability of LmmAbB2D4 to neutralize the whole venom is likely due to the recognition of several venom proteins that share the same epitopic region [11]. Since several continuous antigenic regions of mut-II were previously identified http://www.selleckchem.com/products/Gefitinib.html [15], herein we mapped the mut-II epitope recognized by LmmAbB2D4 to determine if it corresponds to known antigenic regions. We first used the peptide scanning method to map continuous and discontinuous epitopes [2], [6], [10], [14], [27] and [28]. Sets of 15-mer overlapping peptides covering the mut-II amino acid sequence were chemically synthesized by the SPOT method of multiple DAPT mw peptide synthesis [26] and [31]. Such linear peptides

were, however, not recognized, indicating that the epitope is likely discontinuous. Consequently, the phage-display technique was used. Although libraries of filamentous phages have often led to the identification of peptides with high homology to the wild type sequence of the epitope [8], [13] and [32], we have identified, like others [1], [16] and [19], peptides (mimotopes) mimicking discontinuous components of the epitope. All seventeen identified peptides contain two cysteine

residues. Thus, the peptides must be constrained to be recognized, suggesting that the antibody is sensitive to conformation. We note, however, that the peptides QCTMDQGRLRCR, TCATDQGRLRCT, HCFHDQGRVRCA, HCTMDQGRLRCR and SCMLDQGRSRCR were able to bind Ribonucleotide reductase LmmAbB2D4 when prepared as synthetic replicas of the phage-born sequences. This can be due to the different conformations the peptide adopts in the cellulose membranes when it is prepared as a synthetic peptide, compared to the conformations it adopts when displayed on phage surface [29]. The amino acid sequences of the phage-selected peptides had no homology with the sequence of Mut-II protein, and thus are considered mimotopes. Phage-display peptide libraries have identified mimotopes of toxins from scorpion and snake venoms. Such peptides stimulate the production of neutralizing antibodies [5], [19] and [21]. Our results show, for the first time, the usefulness of peptide mimotopes for the neutralization of hemorrhagic activity induced in animals by bushmaster snake venom.

1 nmol Our previous report showed that 10 nmol of serofendic aci

1 nmol. Our previous report showed that 10 nmol of serofendic acid with intracerebroventricular treatment was required Baf-A1 clinical trial to exhibit the protective effect on ischemic neuronal damage (Nakamura et al., 2008). Thus, we predicted that serofendic acid may fail to protect

the brain from ischemia-reperfusion injury when administered intravenously. Contrary to our expectations, intravenous administration of serofendic acid exerted protective effects on cerebral ischemia-reperfusion injury without affecting rCBF and physiological parameters. While serofendic acid has a relatively low ability to penetrate the blood brain barrier (BBB), it can be detected in the brain after intravenous administration (Terauchi et al., 2007). We assume that its low concentration in the brain is able to exert a protective effect since a low dose (10–30 nmol) of intracerebroventricularly administered serofendic acid was effective on cerebral ischemia-reperfusion injury (Nakamura et al., 2008). Thus, the small amount of serofendic acid that penetrates into the brain tissue may be sufficient to protect cells from ischemia-reperfusion injury. Since cerebral ischemia-reperfusion injury leads to the breakdown of check details BBB, molecules that cannot infiltrate the BBB in normal conditions

may be able to do so more in case of cerebral ischemia-reperfusion injury (Haile et al., 2010 and Michalski et al., 2010). It is possible that serofendic acid may pass through the injured BBB more easily IMP dehydrogenase than under normal conditions. Further studies are needed to determine whether BBB disruption is required for a sufficient amount of serofendic acid to pass through. In the present

study, three administrations of serofendic acid exerted protective effects on cerebral ischemia-reperfusion injury, whereas single administration did not protect from ischemia-reperfusion injury. In our previous study, serofendic acid exhibited a high clearance value when administered intravenously (T1/2: 0.65 h) ( Terauchi et al., 2007). Thus, the protective effects from three administrations of serofendic acid are not because of the total dose (30 mg/kg) but because of persistent blood concentrations. We showed that protective effect of serofendic acid administrated intravenously requires pretreatment before ischemia, whereas serofendic acid intracerebroventricularly administered at 30 min after the onset of ischemia protected brain from ischemia-reperfusion injury ( Nakamura et al., 2008). This difference may have occurred owing to the poor ability of serofendic acid to penetrate BBB or be retained in the brain tissue. Regulation of pharmacokinetics of serofendic acid may enable serofendic acid administered intravenously after the onset of ischemia to exert protective effect on ischemia-reperfusion injury.

Proximal tubule injury is observed in aristolochic acid nephropat

Proximal tubule injury is observed in aristolochic acid nephropathy in rats (Mengs, 1987 and Lebeau et al., 2005) and analysis of both kidney functions and renal biopsies from AAN patients showed increased tubular proteinuria,

impairment of proximal tubule functions and tubular necrosis (Depierreux et al., 1994). OTA was shown to be removed by tubular, but not glomerular filtration to the urine and in vivo studies underlined that OTA affects the proximal part of the nephron ( Groves et al., 1998). In AAN (Depierreux et al., 1994 and Yang et al., 2005) and other kidney diseases (Neusser et al., 2010) tubulointerstitial Verteporfin damage observed during kidney fibrosis may be the effect of blood vessel injury. In the proper vessel functioning an important role plays vascular endothelial growth factor (VEGF), which in kidneys is expressed both in podocytes and additionally in proximal tubular cells (Baderca

et al., 2006), which are the main site of AAI as well as OTA injury. Moreover, both tubular and glomerular VEGF may play an important role in the maintenance of peritubular or glomerular capillaries. Diminished VEGF production may lead to decreased endothelial survival and angiogenesis as well as tubular damage by ischemia (reviewed in: Schrijvers et al., 2004). The importance of the alterations in VEGF expression in epithelial cells of proximal and distal tubules was shown see more in human diabetic nephropathy patients (Lindenmeyer et al., 2007) as well as in patients with progressive proteinuric renal failure (Rudnicki et al., 2009).

We investigated the effect of AAI and OTA on VEGF, the potent pro-angiogenic factor, which is claimed to affect the nephropathy progression. The data concerning the role of VEGF in development of AAN are still Rho not clear, although it seems that regulation of VEGF expression plays an important role in this disease. VEGF expression was reported to be down-regulated in rats with chronic AAN (Sun et al., 2006b) as well as in acute AAN rat model (Wen et al., 2008). In contrast, it was shown that in AA-induced acute tubular necrosis (AA-ATN) VEGF expression is elevated in renal tubules compared to control group, nevertheless, the expression was lower than in antibiotic-induced ATN (Yang et al., 2007). In our study we observed the elevation of VEGF transcription as well as protein expression after AAI treatment in LLC-PK1 cells. Interestingly, we showed that OTA has different effect on VEGF production compared to AAI in short-term treatment as potent inhibition of VEGF expression in LLC-PK1 cells was observed after OTA stimulation. In male F344/N rats treated with OTA no alterations in urinary level of VEGF was found (Hoffmann et al., 2010), however, the level of VEGF in urine may differ from ones present in organs or in serum.

An alternative way of writing the Michaelis–Menten

equati

An alternative way of writing the Michaelis–Menten

equation: v=kcatkAe0akcat+kAe0awas introduced, selleckchem with Km replaced by kcat/kA. The symbol kA has achieved almost no currency, but the name specificity constant suggested for it has become widely accepted. This was a new term at the time, but it followed in a natural way from the realisation ( Fersht, 1977) that it was the natural parameter for quantifying the ability of an enzyme to discriminate between two or more alternative substrates that are simultaneously available. The section dealing with reactions that do not obey Michaelis–Menten kinetics was essentially confined to a brief mention of an equation for inhibition by excess substrate: v=V′aKmA′+a+a2/KiaIt was noted that the parameters V′V′ and KmA′ are not parameters of the Michaelis–Menten equation because this is not the Michaelis–Menten equation, so a symbol such as a  0.5 is appropriate to represent the substrate concentration at which v  =0.5V′V′, and definitely not KmA′, which is not equal to that concentration. For more elaborate kinds of departures from Michaelis–Menten kinetics (cooperativity and so on) the document referred to a later section with the same name. Regardless of the number of substrates, a reaction is said to obey Michaelis–Menten kinetics if the rate equation can be expressed in the following form: equation(4) v=e0(1/kcat)+(1/kAa)+(1/kBb)+…+(1/kABab)+…+(p/kAPa)which

can be regarded as a generalization

of the TSA HDAC manufacturer Michaelis–Menten equation for one substrate, and in which p   represents the concentration of a product. Each term in the denominator of the rate expression Diflunisal contains unity or any number of product concentrations in its numerator, and a coefficient k   and any number of substrate concentrations raised to no higher than the first power in its denominator. Thus a  , b  , ab  , etc., are all acceptable concentrations in the denominator of any individual denominator term, but a  2, for example, would not be; p  , q  , pq  , p  2, etc., are all acceptable concentration factors in the numerator of any denominator term. The constant k  cat corresponds to k  cat in Eq. (3); each other coefficient is assigned a subscript for each substrate concentration in the denominator of the term concerned and a superscript for each product concentration in its numerator. The constant term 1/k  cat must be present (because otherwise the rate would increase without limit with increasing concentrations of all substrate concentrations), together with one term for each substrate of the form 1/k  Aa  , but the terms in products of concentrations, such as those shown in Eq. (4) with coefficients k  AB and kAP, may or may not be present. The paragraph concluded by mentioning Dalziel coefficients, which use ϕA, for example, as the symbol corresponding to 1/kA.

(50)) is derived The result is expressed as a linear correction

(50)) is derived. The result is expressed as a linear correction to the Carver Richards equation (summarised in Appendix A), and algorithms based on this have advantages in both see more precision and speed over existing formulaic approaches ( Supplementary Section 8). In a CPMG experiment, transverse magnetisation

is first created, and then allowed to evolve through a series of spin echoes. In this work it is defined that each consists of two delays of duration of τcp, separated by a 180° pulse. A single CPMG element is two concatenated echoes, which in the absence of relaxation and chemical exchange, returns transverse magnetisation to an identical state to which it started. In the complete experiment, Ncyc CPMG elements are further concatenated, leading to a pulsing frequency, vCPMG = Ncyc/Trel and the total time of the CPMG element is Trel = 4τcpNcyc. The change in signal intensity and hence R2,eff due to the exchange process is then monitored as a function of vCPMG. In the case of two-site chemical exchange, in the absence VX809 of pulses, in-phase magnetisation will evolve at two distinct frequencies.

As a useful book keeping exercise, one frequency can be associated with an ensemble of molecules that are primarily (but not entirely) in the majorly populated (ground) state, and the second with an ensemble of molecules that are primarily (but not entirely) in the minorly populated (excited) state. Both ensembles are mixed states whose exact ground/excited ‘composition’ depends explicitly on the exchange parameters. It is shown here that a 180° pulse Vildagliptin does not simply invert the chemical shift, as it would a pure state. Instead, it further mixes these two ensembles. Consequently, after the second evolution period, four frequencies emerge from a spin echo, corresponding to magnetisation that started and finished on either the ground or excited states, and that which started on the ground and finished in the excited, or vice versa. While the first two pathways are entirely

refocused in terms of their chemical shift, the second two are not. The 180° pulse can therefore be considered ‘leaky’, as not all magnetisation is refocused. When multiple Hahn echoes are concatenated in a CPMG experiment, the number of discrete frequencies increases. The derivation of the CPMG signal intensity relies on determining how ‘leaky’ a single CPMG element is, identifying which frequencies are present at the end, evaluating their weighting factors and calculating how these depend on the details of the exchange process. Each of the discrete frequencies that emerge from a CPMG block can be associated with a mixture of ground and excited state ensembles. A higher proportion of time spend in the excited state leads to more efficient relaxation, and loss of signal intensity.

1 Although carcinoma was unlikely in this 23-year-old man with a

1 Although carcinoma was unlikely in this 23-year-old man with a 2-year history of colon disease, endoscopic findings were strongly suggestive of malignancy and so extended right hemicolectomy Palbociclib was performed. Giant inflammatory polyposis is broadly considered a benign

entity.5 In our literature review, we found only one reported case of an occult carcinoma8 and another with dysplasia9 arising in localized GIP. As most patients present with obstructive symptoms, surgery is usually the first approach. However, nonsurgical management may be an option. There is a case report of a rectal GIP successfully treated with budesonide.10 Initial proper diagnosis and familiarization Bcl-2 inhibitor with this entity may allow medical treatment with steroids.11 We truly recognize that further studies on medical treatment are required. Six months after surgery, our patient had no colon lesions and was symptom free. Although some authors advocate that residual disease may predict potential recurrence,7 we suggest an individualized

approach on long-term follow-up. The authors have no conflicts of interest to declare. “
“Desde a primeira descrição da neoplasia do ducto pancreático principal produtor de muco por Ohashi et al.1 em 1982, o reconhecimento de lesões similares aumentou de forma notória. Com diferentes terminologias ao longo do tempo, é somente em 1996 que a World Health Organization veio uniformizar os conceitos, designando esta patologia como neoplasia mucinosa papilar intraductal (NMPI) que,

juntamente com as neoplasias quísticas mucinosas (NQM), fariam parte das neoplasias pancreáticas quísticas produtoras de mucina 2. De facto, a compreensão desta entidade como patologia bem definida e o aumento da realização de exames imagiológicos abdominais de alta resolução levaram ao aumento da identificação de novos casos sendo atualmente, em alguns centros cirúrgicos, a segunda principal indicação para cirurgias pancreáticas logo atrás do adenocarcinoma ductal pancreático 3 and 4. As NMPI são caracterizadas pela proliferação do epitélio ductal pancreático, frequentemente de aspeto 3-mercaptopyruvate sulfurtransferase papilar, com hipersecreção de mucina e consequente dilatação quística do ducto principal e/ou seus ramos secundários, sem evidência contudo de estroma tipo ovárico característico das NQM5. Estas são consideradas lesões pré-malignas, podendo apresentar diferentes graus de atipia cito-arquitetural: lesões benignas (adenoma/baixo grau de displasia), borderline (displasia moderada) e malignas (carcinoma in situ/displasia de alto grau ou carcinoma invasivo) 5 and 6. Topograficamente, estas lesões subdividem-se em NMPI do ducto principal (20%), ramos secundários (40%) ou mistos (40%), dependendo dos ductos envolvidos 7.

The importance of a high spatial resolution in the Mike 3fm model

The importance of a high spatial resolution in the Mike 3fm model is not so pronounced, since this model is used only to analyse the dynamics of T, S, σt and their vertical distribution, not for modelling effluent spreading in the near or far field. Therefore, the results of Mike 3fm simulations, for the domain shown in Figure 2, were used only as ‘input’ for the near-field model. The near-field effluent transport model is defined using set of differential equations for motion on steady control volume (Featherstone 1984). The core of the model assumes an initial effluent inflow through a

KU57788 circular nozzle and a single buoyant jet or plume propagation not interacting with any other buoyant jets or plumes from adjacent nozzles. Volume flux ϕ, mass flux Ψ, specific momentum

flux M, buoyancy flux B and specific buoyant force per unit length of a plume T are expressed by integral (1a,b,c) and (1d,e), where A represents the cross-sectional area of a plume orthogonal to the central trajectory, u is the velocity in ABT-263 purchase the plume cross-section, ρ the density in the plume cross-section, Δρ the density deficit (Δρ = ρm – ρ), ρm the sea water density and ρm0 the sea water density at the positions of the diffuser nozzles. equation(1a,b,c) ϕ=∫AudA,ψ=∫AρudA,M=∫Au2dA, equation(1d,e) B=g∫A(Δρρm0)udA,T=g∫A(Δρρm0)dA. The core of the model is contained in the definition of the rate of change for fields ϕ, Ψ, M and B along the central trajectory path s of the stationary plume. Neglecting the influence of the ambient current on the overall plume dynamic, the specific momentum rate of change becomes zero in the horizontal direction ( eq. (2a)). The change in the specific momentum in the vertical direction is caused by buoyancy ( eq. (2b)). As a result of ambient fluid entrainment through the outer contour of the plume, volume flux and mass flux change

Ureohydrolase along path s are defined by equation (3) (Turner 1986). Henceforth, the specific momentum and volume flux follow: equation(2a,b) dds(Mcosθ)=0,dds(Msinθ)=T, equation(3) dϕds=E=2πb αu(s),where u(s) = u(s, r = 0) is the velocity along the central trajectory of the plume, b is the radial distance from the central trajectory to the position where the velocity takes the value of u(s, r = b) = u(s, r = 0)/e, α = 0.083 is the entrainment constant ( Featherstone 1984), and θ is the angle of inclination of the tangent of the plume trajectory to the horizontal axis. One assumes a Gaussian distribution of the velocity u(s, r) and density deficit Δρ(s, r) in the plume cross-section, where the constant λ = 1.16 in the case of scalar transport. equation(4a,b) u(s,r)=u(s)e−r2/b2,Δρ(s,r)=Δρ(s)e−r2/(λb2). Integration of equation (1) (eq. (5)) and definition of the proportionality between dB/ds and ϕ ( eq.