Free turbulent shear layer in a point vortex gas as a problem in nonequilibrium statistical mechanics.

This paper attempts to unravel any relations that may exist between turbulent shear flows and statistical mechanics through a detailed numerical investigation in the simplest case where both can be well defined. The flow considered for the purpose is the two-dimensional (2D) temporal free shear layer with a velocity difference ΔU across it, statistically homogeneous in the streamwise direction (x) and evolving from a plane vortex sheet in the direction normal to it (y) in a periodic-in-x domain L×±∞. Extensive computer simulations of the flow are carried out through appropriate initial-value problems for a "vortex gas" comprising N point vortices of the same strength (γ=LΔU/N) and sign. Such a vortex gas is known to provide weak solutions of the Euler equation. More than ten different initial-condition classes are investigated using simulations involving up to 32000 vortices, with ensemble averages evaluated over up to 103 realizations and integration over 104L/ΔU. The temporal evolution of such a system is found to exhibit three distinct regimes. In Regime I the evolution is strongly influenced by the initial condition, sometimes lasting a significant fraction of L/ΔU. Regime III is a long-time domain-dependent evolution towards a statistically stationary state, via "violent" and "slow" relaxations [ P.-H. Chavanis Physica A 391 3657 (2012)], over flow time scales of order 102 and 104L/ΔU, respectively (for N=400). The final state involves a single structure that stochastically samples the domain, possibly constituting a "relative equilibrium." The vortex distribution within the structure follows a nonisotropic truncated form of the Lundgren-Pointin (L-P) equilibrium distribution (with negatively high temperatures; L-P parameter λ close to -1). The central finding is that, in the intermediate Regime II, the spreading rate of the layer is universal over the wide range of cases considered here. The value (in terms of momentum thickness) is 0.0166±0.0002 times ΔU. Regime II, extensively studied in the turbulent shear flow literature as a self-similar "equilibrium" state, is, however, a part of the rapid nonequilibrium evolution of the vortex-gas system, which we term "explosive" as it lasts less than one L/ΔU. Regime II also exhibits significant values of N-independent two-vortex correlations, indicating that current kinetic theories that neglect correlations or consider them as O(1/N) cannot describe this regime. The evolution of the layer thickness in present simulations in Regimes I and II agree with the experimental observations of spatially evolving (3D Navier-Stokes) shear layers. Further, the vorticity-stream-function relations in Regime III are close to those computed in 2D Navier-Stokes temporal shear layers [ J. Sommeria, C. Staquet and R. Robert J. Fluid Mech. 233 661 (1991)]. These findings suggest the dominance of what may be called the Kelvin-Biot-Savart mechanism in determining the growth of the free shear layer through large-scale momentum and vorticity dispersal.

Neuromedin U can exert colon-specific, enteric nerve-mediated prokinetic activity, via a pathway involving NMU1 receptor activation.

BACKGROUND AND PURPOSE: The neuromedin U (NMU) receptors, NMU1 and NMU2, are expressed in the gut but their functions are unclear. This study explores the role of NMU in gastrointestinal motility. EXPERIMENTAL APPROACH: The effects of NMU were examined in the forestomach and colon isolated from NMU2R wild-type and NMU2R-/- (knockout) mice, looking for changes in muscle tension and in nerve-mediated responses evoked by electrical field stimulation (EFS), and in models of peristalsis in mouse colon and faecal pellet transit in guinea-pig colon. KEY RESULTS: In the mouse forestomach, NMU (1 nM-10 microM) concentration-dependently induced muscle contraction, in the presence of tetrodotoxin and atropine, in preparations from both wild-type and NMU2R-/- mice (pEC50: 7.9, 7.6, Emax: 0.26, 0.20g tension, respectively, n=8 each concentration). The same concentrations of NMU had no consistent effects on the responses to EFS (n=8). In the mouse colon, NMU (0.1 nM-1 microM) had no significant effect on baseline muscle tension (n=8), but concentration-dependently potentiated EFS-evoked contractions in preparations from both wild-type and NMU2R-/- mice, pEC50: 8.1, 7.8, Emax: 24%, 21%, respectively, n=6-11. NMU (0.01 nM-0.1 microM, n=5-7) concentration-dependently decreased the interval between waves of peristalsis in the mouse colon (pEC50: 8.8) and increased the rate at which a faecal pellet moved along the guinea-pig colon. CONCLUSIONS AND IMPLICATIONS: These results demonstrate that NMU exerts colon-specific, nerve-mediated, prokinetic activity, via a pathway involving activation of NMU1 receptors. This suggests that this receptor may represent a molecular target for the treatment of intestinal motility disorders.

The relationship between the effects of short-chain fatty acids on intestinal motility in vitro and GPR43 receptor activation.

The G protein-coupled receptors, GPR41 and GPR43, are activated by short-chain fatty acids (SCFAs), with distinct rank order potencies. This study investigated the possibility that SCFAs modulate intestinal motility via these receptors. Luminal SCFA concentrations within the rat intestine were greatest in the caecum (c. 115 mmol L(-1)) and proximal colon. Using similar concentrations (0.1-100 mmol L(-1)), SCFAs were found to inhibit electrically evoked, neuronally mediated contractions of rat distal colon, possibly via a prejunctional site of action; this activity was independent of the presence or absence of the mucosa. By contrast, SCFAs reduced the amplitude but also reduced the threshold and increased the frequency of peristaltic contractions in guinea-pig terminal ileum. In each model, the rank-order of activity was acetate (C2) approximately propionate (C3) approximately butyrate (C4) > pentanoate (C5) approximately formate (C1), consistent with activity at the GPR43 receptor. GPR43 mRNA was expressed throughout the rat gut, with highest levels in the colon. However, the ability of SCFAs to inhibit neuronally mediated contractions of the colon was similar in tissues from wild-type and GPR43 gene knockout mice, with identical rank-orders of potency. In conclusion, SCFAs can modulate intestinal motility, but these effects can be independent of the GPR43 receptor.

5-HT4 receptor agonists enhance both cholinergic and nitrergic activities in human isolated colon circular muscle.

Previous studies have demonstrated mixed inhibitory and facilitatory effects of 5-hydroxytryptamine-4 (5-HT(4)) receptor agonists on electrical field stimulation (EFS)-induced responses in human isolated colon. Here we report three types of responses to EFS in human isolated colon circular muscle: monophasic cholinergic contraction during EFS, biphasic response (nitrergic relaxation during EFS followed by cholinergic contraction after termination of EFS) and triphasic response (cholinergic contraction followed by nitrergic relaxation during EFS and a tachykininergic contraction after EFS). The effects of two 5-HT(4) receptor agonists, prucalopride and tegaserod were then investigated on monophasic responses only. Each compound inhibited contractions during EFS in a concentration-dependent manner. In the presence of N(omega)-nitro-l-arginine methyl ester (l-NAME) however, prucalopride and tegaserod enhanced the contractions in a concentration-dependent manner. In strips where the tone was elevated with substance-P and treated with scopolamine, EFS-induced relaxations were enhanced by the two agonists. The above observed effects by the two agonists were abolished by 5-HT(4) receptor antagonist SB-204070. The two agonists did not alter the tone raised by substance-P in the presence of scopolamine and l-NAME and did not affect carbachol-induced contractions in the presence of tetrodotoxin. These results suggest that in the circular muscle of human colon, 5-HT(4) receptor agonists simultaneously facilitate the activity of neurones which release the inhibitory and excitatory neurotransmitters, nitric oxide and acetylcholine respectively.

The rabbit motilin receptor: molecular characterisation and pharmacology.

Following identification of the human motilin receptor, we isolated the rabbit orthologue by PCR amplification and found this to be 85% identical to the open reading frame of the human receptor. The protein encoded was 84% identical to the human polypeptide. In HEK293T cells transfected with the rabbit receptor, motilin concentration-dependently increased intracellular calcium mobilisation (pEC50=9.25). After transfection with Go1alpha, motilin similarly stimulated [35S]GTPgammaS binding (pEC50=8.87). Using both systems, similar values were obtained with the human receptor, with rank-order potencies of motilin=[Nle13]-motilin>erythromycin; ghrelin was ineffective. In circular muscle preparations of rabbit gastric antrum, [Nle13]-motilin 0.1-30 nM concentration-dependently increased the amplitude of electrically-evoked, neuronally-mediated contractions (pEC50=8.3); higher concentrations increased the muscle tension (30-3000 nM). Both responses to [Nle13]-motilin faded rapidly during its continual presence. Rat or human ghrelin 0.01-10 microM were without activity. Erythromycin 30-3000 nM and 10 microM, respectively, increased neuronal activity and muscle tension in rabbit stomach. Unlike [Nle13]-motilin, the increase in neuronal activity did not fade during continual presence of submaximally-effective concentrations of erythromycin; some fade was observed at higher concentrations. We conclude that the pharmacology of the rabbit motilin receptor is similar to the human orthologue and, when expressed as a recombinant, comparable to the native receptor. However, in terms of their ability to increase neuronal activity in rabbit stomach, [Nle13]-motilin and erythromycin are distinguished by different response kinetics, reflecting different rates of ligand degradation and/or interaction with the receptor.

Growth hormone secretagogue receptors in rat and human gastrointestinal tract and the effects of ghrelin.

The peptide hormone ghrelin is known to be present within stomach and, to a lesser extent, elsewhere in gut. Although reports suggest that gastric function may be modulated by ghrelin acting via the vagus nerve, the gastrointestinal distribution and functions of its receptor, the growth hormone secretagogue receptor (GHS-R), are not clear and may show signs of species-dependency. This study sought to determine the cellular localisation and distribution of GHS-R-immunoreactivity (-Ir) using immunofluorescent histochemistry and explore the function of ghrelin in both human and rat isolated gastric and/or colonic circular muscle preparations in which nerve-mediated responses were evoked by electrical field stimulation. The expression of GHS-R-Ir differed to a greater extent between species than between gut regions of the same species. Both the human and rat gastric and colonic preparations (n=3 each) expressed GHS-R-Ir within neuronal cell bodies and fibres, cells associated with gastric glands and putative entero-endocrine and/or mast cells. Smooth muscle cells and epithelia were devoid of GHS-R-Ir and only rat preparations expressed GHS-R-Ir on nerve fibres associated with the muscle layers. GHS-R-Ir was fully competed in all cases in pre-adsorption studies and antiserum specificity was confirmed using a cell line transiently expressing the rat GHS-R. In rat isolated forestomach circular muscle, ghrelin 0.1-10 microM had no effect on smooth muscle tension but concentration-dependently facilitated the amplitude of contractions evoked by excitatory nerve stimulation (n=4-7; P<0.05 for each concentration versus vehicle; n=18). When examined under similar conditions, in both rat distal colon (n=4-6, P>0.05 each) and human ascending (n=3) and sigmoid (n=1) colon, these concentrations of ghrelin were without effect (P>0.05 each). The data suggest that ghrelin has the potential to profoundly affect gastrointestinal functions in both species and at least one of these functions is to exert a gastric prokinetic activity. Moreover, we suggest that this activity of ghrelin is mediated via the enteric nervous system, in addition to known vagus nerve-dependent mechanisms.

GABA(B) receptor function in the ileum and urinary bladder of wildtype and GABA(B1) subunit null mice.

1. GABA(B1) receptor subunit knockout mice were generated and the effects of the GABA(B) receptor agonist, baclofen, were evaluated within the peripheral nervous system (PNS) of wildtype (+/+), heterozygote (+/-) and knockout (-/-) animals. For this purpose, neuronally-mediated responses were evoked in both the isolated ileum and urinary bladder, using selective electrical field stimulation (EFS). 2. In ileum resected from 4-8-week-old-mice, low frequencies of EFS (0.5 Hz) evoked irregular muscle contractions which were prevented by atropine 1 microM and reduced by baclofen (33.4 +/- 5.6%, 100 microm). The latter effect was antagonized by the GABA(B) receptor antagonist CGP54626 0.2 microm. Baclofen 100 microm did not affect contractions of similar amplitude induced by carbachol, indicating that the ability of baclofen to inhibit cholinergic function in mouse ileum may be due to an action at prejunctional GABA(B) receptors. 3. To avoid the development of grand mal seizure by GABA(B1) (-/-) mice, a behaviour observed when the mice were greater than 3 weeks old, it was necessary to study the effects of this knockout in 1-3-week-old-animals. However, at this age, EFS at 0.5 Hz did not evoke robust muscle contractions. Consequently we used EFS at 5 Hz, which did evoke cholinergically mediated contractions, found to be of similar amplitude in (+/+) and (+/-) mice, of both 1-3 weeks and 4-8 weeks of age. At this frequency of EFS, baclofen reduced the amplitude of the evoked contractions [n = 6 (+/+) and n = 5 (+/-), IC50 19.2 +/- 4.8 microm) and this effect was greatly reduced in the presence of CGP54626 0.2 microm. 4. In urinary bladder from 1-3-week-old-mice, using higher frequencies of EFS to evoke clear, nerve-mediated contractions (10 Hz), baclofen 10-300 microm concentration-dependently inhibited contractions in (+/+) mice (IC50 9.6 +/- 3.8 microm). This effect was inhibited by CGP54626 (0.2 microm, 46.2 +/- 13.6% inhibition, 300 microm baclofen n = 7) a concentration which, by itself, had no effect on the EFS-evoked contractions. 5. The effects of baclofen in both ileum and urinary bladder were absent in the GABA(B1) receptor subunit (-/-) mice; however, responses to EFS were unaffected in (-/-) when compared to the (+/+) mice. 6. Our data suggest that, as in the central nervous system (CNS), the GABA(B1) receptor subunit is an essential requirement for GABA(B) receptor function in the enteric and PNS. As such, these data do not provide a structural explanation for the existence of putative subtypes of GABA(B) receptor, suggested by studies such as those in which different rank-orders of GABA(B) agonist affinity have been reported in different tissues.

Nicotine induces calcium spikes in single nerve terminal varicosities: a role for intracellular calcium stores.

While nicotine is known to act at neuronal nicotinic acetylcholine receptors (nAChRs) to facilitate neurotransmitter release, the mechanisms underlying this action are poorly understood. Some of its effects are known to be mediated by presynaptic receptors. In the mouse vas deferens nicotine (10-30 microM) transiently increased the force of neurogenic contraction by 135+/-25%, increased the amplitude of excitatory junction potentials by 74+/-6% and increased the frequency of spontaneous excitatory junction potentials in four out of six preparations. Confocal microscopy and the calcium indicator Oregon Green 488 BAPTA-1 dextran were used to measure calcium concentration changes in the nerve terminals. Nicotine did not affect the action potential-evoked calcium transient but instead triggered small, random fluctuations ("calcium spikes") in intra-varicosity calcium concentrations at an average frequency of 0.09+/-0.02 Hz. These were insensitive to tetrodotoxin at a concentration that blocked action-potential evoked calcium transients (300 nM). They were abolished by the nAChR blocker hexamethonium (100 microM) and by both ryanodine (100 microM) and caffeine (3 mM), agents that modify calcium release from intracellular stores. We propose a novel mechanism whereby nicotine's action at nAChRs triggers calcium-induced calcium release from a ryanodine-sensitive calcium store in nerve terminals. This primes neurotransmitter release mechanisms and enhances both spontaneous and action potential-evoked neurotransmitter release.

Morphological and physiological characteristics of urethral circular and longitudinal smooth muscle.

The urethral wall contains circular and longitudinal smooth muscle. Both layers can develop spontaneous tone, and contract further or relax in response to excitatory or inhibitory stimuli. In the pig the cells do not generate action potentials, and the membranes possess L-type calcium channels and a variety of potassium channels which may modulate the membrane potential and tone. The importance of these layers in generating the urethral pressure is not well understood in the human, but it seems likely that the circular smooth muscle is involved in generating urethral pressure in the pig.

Morphological aspects of the female pig bladder neck and urethra: quantitative analysis using computer assisted 3-dimensional reconstructions.

PURPOSE: To investigate whether the pig is a suitable model for studies of lower urinary tract function and dysfunction, we sought to determine the morphology of the female pig bladder neck and urethra. Computer assisted 3-dimensional (D) reconstructions from step serial histological sections were used for visualization of the spatial relationships between neighboring urethral wall components, and the quantification of these components in the bladder neck and along the urethra. MATERIALS AND METHODS: Step serial histological paraffin sections from the bladder neck and urethra of 6 female pigs, stained with Masson's trichrome, were used to generate computer assisted 3-D reconstructions using MacStereology (Ranfurly MicroSystems Ltd., Airdrie, United Kingdom) as the 3-D software package. RESULTS: The bladder neck and urethral anatomy revealed well defined smooth and striated muscle layers that varied in location, regional distribution and orientation. Circular smooth muscle was maximally developed in the mid urethra, at which point maximal urethral pressure was observed. The longitudinal smooth muscle layer appeared continuous with the detrusor, implicating a possible role in urethral shortening at the onset of voiding. A small circular and longitudinal striated muscle component was present in the distal urethra. CONCLUSIONS: Anatomical differences exist between the female pig and human bladder neck and urethra, which were successfully highlighted using computer assisted 3-D reconstructions from step serial histological paraffin sections.

Homogeneous esterification of cellulose in the lithium chloride-N,N-dimethylacetamide solvent system: effect of temperature and catalyst.

Commercial rayon grade cellulose was dissolved in the lithium chloride-N,N-dimethylacetamide (LiCl-DMAc) solvent system and esterified with acetic anhydride using p-toluenesulfonyl chloride (p-TsCl) and pyridine as catalysts. The reaction temperature was varied from 28 to 70 degrees C and the time of reaction from 2 to 24 h. Full substitution took place at 60 and 70 degrees C at respective reaction times of 10 and 8 h for p-TsCl, and 10 and 6 h for pyridine. Esterification of cellulose followed a second-order reaction path. The rate constants at different reaction temperatures and the activation energy for the reaction are reported. Mechanisms for these reactions using the two catalysts are also suggested. The degrees of substitution (DS) of the esters prepared using both catalysts show that pyridine is a better catalyst than p-TsCl. Molecular weights of the esters, determined viscosimetrically, show that some degradation in the cellulose chain occurred at a reaction temperature of 70 degrees C. Hence, the optimum temperature for esterification appears to be 50-60 degrees C at 10 h reaction time to obtain full degree of acetyl substitution.

Elastic fibres in the vesicourethral junction and urethra of the guinea pig: quantification with computerised image analysis.

Elastic fibres, which are intimately associated with collagen, a major component of the urethra, have been assumed to contribute to the resting urethral closure pressure. The Miller stain for elastin was used to demonstrate elastic fibres in cryostat sections of guinea pig bladder base, vesicourethral junction (VUJ) and urethra. Computerised image analysis was employed to objectively quantify these fibres. Both male and female guinea pigs showed significantly greater amounts of circularly disposed elastic fibres in the VUJ than in the other 2 regions examined. This particular disposition of fibres may be responsible for imparting resiliency and plasticity to the VUJ, allowing it to distend and recoil repeatedly in response to urine outflow. Furthermore, the elastic fibres may be partly responsible for the passive occlusive force in this region. Elastic fibres in the distal urethra were not quantified because of their relative paucity. Sagittal sections of the urethra revealed a mass of longitudinally arranged elastic fibres localised almost exclusively within the mucosa, submucosa and longitudinal smooth muscle layer. Functionally, this arrangement may exist to facilitate urethral length changes that occur in micturition.

alpha1-adrenoceptors in urethral function.

The external urethral sphincteric mechanism generates forces which seal the urethra and can be measured as urethral pressure. Resting pressure can be augmented transiently through a reflex pathway during increases in intra-abdominal pressure. The exact role of the various components of the urethral wall that generate this pressure is so far unknown. Urethral contributions to continence come from the mucosal hermetic seal, the submucosa and its vascular filling and the smooth and striated muscle. In humans alpha1-adrenoceptor antagonists can reduce urethral pressure, whereas agonists have little effect. A significant part of urethral resting tone is thought to be mediated through the smooth muscles. In vitro, longitudinal and circular smooth muscle components possess spontaneous tone and are innervated by excitatory and inhibitory nerves. Both types possess alpha1-adrenoceptors and contract on stimulation of intrinsic sympathetic nerves or application of alpha1-adrenoceptor agonists. In human urethra, longitudinal smooth muscle predominates but its functional role is unclear. alpha1 stimulation may also affect the vasculature of the submucosa, the striated muscle of the urethra or transmitter release from neurones in the control pathways. Insufficient knowledge of alpha1-adrenoceptor distribution and function within the urethra and the surrounding tissues currently prevents accurate prediction of the therapeutic potential of alpha1-adrenoceptor ligands.

Purinoceptor subtypes mediating contraction and relaxation of marmoset urinary bladder smooth muscle.

1. The effects of adenosine triphosphate (ATP), adenosine diphosphate (ADP), alpha,beta-methylene-ATP (alpha,beta-MeATP) and 2-methylthio-ATP (2-MeSATP) on longitudinally orientated smooth muscle strips from marmoset urinary bladder were investigated by use of standard organ bath techniques. 2. After being mounted in superfusion organ baths, 66.7% (n=249) of marmoset detrusor smooth muscle strips developed spontaneous tone, 48.2% of all strips examined developed tone equivalent to greater than 0.1 g mg(-1) of tissue and were subsequently utilized in the present investigation. 3. On exposure to ATP, muscle strips exhibited a biphasic response, a rapid and transient contraction followed by a more prolonged relaxation. Both responses were found to be concentration-dependent. ADP and 2-MeSATP elicited a similar response (contraction followed by relaxation), whereas application of alpha,beta-MeATP only produced a contraction. The potency order for each effect was alpha,beta-MeATP> >2-MeSATP> ATP>ADP (contractile response) and ATP=2-MeSATP> or = ADP> > alpha,beta-MeATP (relaxational response). 4. Desensitization with alpha,beta-MeATP (10 microM) abolished the contractile phase of the response to ATP, but had no effect on the level of relaxation evoked by this agonist. On the other hand, the G-protein inactivator, GDPbetaS (100 microM) abolished only the relaxation response to ATP. Suramin (general P2 antagonist, 100 microM) shifted both the contractile and relaxation ATP concentration-response curves to the right, whereas cibacron blue (P2Y antagonist, 10 microM) only antagonized the relaxation response to ATP. In contrast, the adenosine receptor antagonist, 8-phenyltheophylline (10 microM), had no effect on the relaxation response curve to ATP. 5. Incubation with tetrodotoxin (TTX, 3 microM) or depolarization of the muscle strip with 40 mM K+ Krebs failed to abolish the relaxation to ATP. In addition, neither Nomega-nitro-L-arginine (L-NOARG, 10 microM) nor methylene blue (10 microM) had any effect on the relaxation response curve. However, tos-phe-chloromethylketone (TPCK, 3 microM), an inhibitor of cyclicAMP-dependent protein kinase A (PKA), significantly (P<0.01) shifted the curve for the ATP-induced relaxation to the right. 6. It is proposed that marmoset detrusor smooth muscle contains two receptors for ATP, a classical P2X-type receptor mediating smooth muscle contraction, and a P2Y (G-protein linked) receptor mediating smooth muscle relaxation. The results also indicate that the ATP-evoked relaxation may occur through the activation of cyclicAMP-dependent PKA.

Intrinsic urethral closure mechanisms in the female pig.

This study investigates the role of the various components of the female pig urethral wall in the generation of the urethral closure pressure. Prior to voiding urethral pressure fails and this is accompanied by a rise in lamina propria blood flow. Pharmacological manipulation shows that striated muscle is not involved in the generation of the urethral closure pressure. Drugs active upon smooth muscle change urethral pressure significantly by a mechanism independent of their cardiovascular system effects. Histological studies show that it is possible to correlate the disposition of circular smooth muscle with the urethral pressure profile. In vitro smooth muscle from the high pressure zone is pharmacologically different to that from the proximal urethra in a manner which may reflect their physiological roles.