Externally driven countercurrent multiplication in a mathematical model of the urinary concentrating mechanism of the renal inner medulla

Substitution of measured permeabilities into mathematical models of the concentrating mechanism of the renal inner medulla yields less than the known urine osmolalities. To gain a better understanding of the mechanism we analyse a model in which a force of unspecified origin [expressed as fraction, ɛ, of entering descending thin limb (DTL) concentration] drives fluid from DTL to interstitial vascular space (CORE), thus concentrating the solution in DTL. When flow in the DTL reverses at the hairpin bend of the loop of Henle, the high solute permeability of ascending thin limb (ATL) permits solute to diffuse into the CORE thus permitting ɛ to be multiplied many-fold. Behavior of the model is described by two non-linear differential equations. In the limit for infinite salt permeability of ATL the two equations reduce to a single equation that is formally identical with that for the Hargitay and Kuhn multiplier, which assumes fluid transport directly from DTL to ATL (Z. Electrochem. Angew. Phys. Chem. 55, 539, 1951). Solutions of the equations describing the model with parameters taken from perfused thin limbs show that urine osmolalities of the order of 5000 mosm L⁻¹ can be generated by forces of the order of 20 mosm L⁻¹. It seems probable that mammals including desert rodents use some variant of this basic mechanism for inner medullary concentration.     

Erythrocyte permeability to urea and water: comparative study in rodents,ruminants, carnivores,humans, and birds

Mammalian erythrocytes exhibit high urea permeability (P _urea) due to UT-B expression in their cytoplasmic membrane. This high P _urea allows fast equilibration of urea in erythrocytes during their transit in the hyperosmotic renal medulla. It also allows more urea (in addition to that in plasma) to participate in counter-current exchange between ascending and descending vasa recta, thus improving the trapping of urea in the medulla and improving urine concentrating ability. To determine if P _urea in erythrocytes is related to diet and urine concentrating ability, we measured P _urea in erythrocytes from 11 different mammals and 5 birds using stopped-flow light scattering. Carnivores (dog, fox, cat) exhibited high P _urea (in ×10⁻⁵ cm/s, 5.3 ± 0.6, 3.8 ± 0.5 and 2.8 ± 0.7, respectively). In contrast, herbivores (cow, donkey, sheep) showed much lower P _urea (0.8 ± 0.2, 0.7 ± 0.2, 1.0 ± 0.1, respectively). Erythrocyte P _urea in human (1.1 ± 0.2), and pig (1.5 ± 0.1), the two omnivores, was intermediate. Rodents and lagomorphs (mouse, rat, rabbit) had P _urea intermediate between carnivores and omnivores (3.3 ± 0.4, 2.5 ± 0.3 and 2.4 ± 0.3, respectively). Birds that do not excrete urea and do not express UT-B in their erythrocytes had very low values (<0.1 × 10⁻⁵ cm/s). In contrast to P _urea, water permeability, measured simultaneously, was relatively similar in all mammals. The species differences in erythrocytes P _urea most probably reflect adaptation to the different types of diet and resulting different needs for concentrating urea in the urine.     

Maximum Urine Concentrating Capability in a Mathematical Model of the Inner Medulla of the Rat Kidney

In a mathematical model of the urine concentrating mechanism of the inner medulla of the rat kidney, a nonlinear optimization technique was used to estimate parameter sets that maximize the urine-to-plasma osmolality ratio (U/P) while maintaining the urine flow rate within a plausible physiologic range. The model, which used a central core formulation, represented loops of Henle turning at all levels of the inner medulla and a composite collecting duct (CD). The parameters varied were: water flow and urea concentration in tubular fluid entering the descending thin limbs and the composite CD at the outer-inner medullary boundary; scaling factors for the number of loops of Henle and CDs as a function of medullary depth; location and increase rate of the urea permeability profile along the CD; and a scaling factor for the maximum rate of NaCl transport from the CD. The optimization algorithm sought to maximize a quantity E that equaled U/P minus a penalty function for insufficient urine flow. Maxima of E were sought by changing parameter values in the direction in parameter space in which E increased. The algorithm attained a maximum E that increased urine osmolality and inner medullary concentrating capability by 37.5% and 80.2%, respectively, above base-case values; the corresponding urine flow rate and the concentrations of NaCl and urea were all within or near reported experimental ranges. Our results predict that urine osmolality is particularly sensitive to three parameters: the urea concentration in tubular fluid entering the CD at the outer-inner medullary boundary, the location and increase rate of the urea permeability profile along the CD, and the rate of decrease of the CD population (and thus of CD surface area) along the cortico-medullary axis.     

Evidence for centrophenoxine as a protective drug in aluminium induced behavioral and biochemical alteration in rat brain

The aim of the present work was to study the effects of an unilateral ischaemic-reperfusion injury on Na⁺, K⁺-ATPase activity, α₁ and β₁ subunits protein and mRNA abundance and ATP content in cortical and medullary tissues from postischaemic and contralateral kidneys. Right renal artery was clamped for 40 min followed by 24 and 48 h of reperfusion. Postischaemic and contralateral renal function was studied cannulating the ureter of each kidney. Postischaemic kidneys after 24 (IR24) and 48 (IR48) hours of reperfusion presented a significant dysfunction. Na⁺, K⁺-ATPase α₁ subunit abundance increased in IR24 and IR48 cortical tissue and β₁ subunit decreased in IR48. In IR24 medullary tissue, α₁ abundance increased and returned to control values in IR48 while β₁ abundance was decreased in both periods. Forty minutes of ischaemia without reperfusion (I40) promoted an increment in α₁ mRNA in cortex and medulla that normalised after 24 h of reperfusion. β₁ mRNA was decreased in IR24 medullas. No changes were observed in contralateral kidneys. This work provides evidences that after an ischaemic insult α₁ and β₁ protein subunit abundance and mRNA levels are independently regulated. After ischaemic-reperfusion injury, cortical and medullary tissue showed a different pattern of response. Although ATP and Na⁺, K⁺-ATPase activity returned to control values, postischemic kidney showed an abnormal function after 48 h of reflow.     

An Optimization Algorithm for a Distributed-Loop Model of an Avian Urine Concentrating Mechanism

To better understand how the avian kidney’s morphological and transepithelial transport properties affect the urine concentrating mechanism (UCM), an inverse problem was solved for a mathematical model of the quail UCM. In this model, a continuous, monotonically decreasing population distribution of tubes, as a function of medullary length, was used to represent the loops of Henle, which reach to varying levels along the avian medullary cones. A measure of concentrating mechanism efficiency – the ratio of the free-water absorption rate (FWA) to the total NaCl active transport rate (TAT) – was optimized by varying a set of parameters within bounds suggested by physiological experiments. Those parameters include transepithelial transport properties of renal tubules, length of the prebend enlargement of the descending limb (DL), DL and collecting duct (CD) inflows, plasma Na⁺ concentration, length of the cortical thick ascending limbs, central core solute diffusivity, and population distribution of loops of Henle and of CDs along the medullary cone. By selecting parameter values that increase urine flow rate (while maintaining a sufficiently high urine-to-plasma osmolality ratio (U/P)) and that reduce TAT, the optimization algorithm identified a set of parameter values that increased efficiency by ∼60% above base-case efficiency. Thus, higher efficiency can be achieved by increasing urine flow rather than increasing U/P. The algorithm also identified a set of parameters that reduced efficiency by ∼70% via the production of a urine having near-plasma osmolality at near-base-case TAT.In separate studies, maximum efficiency was evaluated as selected parameters were varied over large ranges. Shorter cones were found to be more efficient than longer ones, and an optimal loop of Henle distribution was found that is consistent with experimental findings.     

Kinetics of Water Transport in Eel Intestinal Vesicles

Brush border membrane vesicles, BBMV, from eel intestinal cells or kidney proximal tubule cells were prepared in a low osmolarity cellobiose buffer. The osmotic water permeability coefficient P _f for eel vesicles was not affected by pCMBS and was measured at 1.6 × 10⁻³ cm sec⁻¹ at 23°C, a value lower than 3.6 × 10⁻³ cm sec⁻¹ exhibited by the kidney vesicles and similar to published values for lipid bilayers. An activation energy E _a of 14.7 Kcal mol⁻¹ for water transport was obtained for eel intestine, contrasting with 4.8 Kcal mol⁻¹ determined for rabbit kidney proximal tubule vesicles using the same method of analysis. The high value of E _a , as well as the low P _f for the eel intestine is compatible with the absence of water channels in these membrane vesicles and is consistent with the view that water permeates by dissolution and diffusion in the membrane. Further, the initial transient observed in the osmotic response of kidney vesicles, which is presumed to reflect the inhibition of water channels by membrane stress, could not be observed in the eel intestinal vesicles. The P _f dependence on the tonicity of the osmotic shock, described for kidney vesicles and related to the dissipation of pressure and stress at low tonicity shocks, was not seen with eel vesicles. These results indicate that the membranes from two volume transporter epithelia have different mechanisms of water permeation. Presumably the functional water channels observed in kidney vesicles are not present in eel intestine vesicles. The elastic modulus of the membrane was estimated by analysis of swelling kinetics of eel vesicles following hypotonic shock. The value obtained, 0.79 × 10⁻³ N cm⁻¹, compares favorably with the corresponding value, 0.87 × 10⁻³ N cm⁻¹, estimated from measurements at osmotic equilibrium. Received: 28 January 1999/Revised: 15 June 1999     

Local Osmosis and Isotonic Transport

Osmotically driven water flow, u (cm/s), between two solutions of identical osmolarity, c_o (300 mM in mammals), has a theoretical isotonic maximum given by u = j/c_o, where j (moles/cm²/s) is the rate of salt transport. In many experimental studies, transport was found to be indistinguishable from isotonic. The purpose of this work is to investigate the conditions for u to approach isotonic. A necessary condition is that the membrane salt/water permeability ratio, ε, must be small: typical physiological values are ε = 10⁻³ to 10⁻⁵, so ε is generally small but this is not sufficient to guarantee near-isotonic transport. If we consider the simplest model of two series membranes, which secrete a tear or drop of sweat (i.e., there are no externally-imposed boundary conditions on the secretion), diffusion is negligible and the predicted osmolarities are: basal = c_o, intracellular ≈ (1 + ε)c_o, secretion ≈ (1 + 2ε)c_o, and u ≈ (1 − 2ε)j/c_o. Note that this model is also appropriate when the transported solution is experimentally collected. Thus, in the absence of external boundary conditions, transport is experimentally indistinguishable from isotonic. However, if external boundary conditions set salt concentrations to c_o on both sides of the epithelium, then fluid transport depends on distributed osmotic gradients in lateral spaces. If lateral spaces are too short and wide, diffusion dominates convection, reduces osmotic gradients and fluid flow is significantly less than isotonic. Moreover, because apical and basolateral membrane water fluxes are linked by the intracellular osmolarity, water flow is maximum when the total water permeability of basolateral membranes equals that of apical membranes. In the context of the renal proximal tubule, data suggest it is transporting at near optimal conditions. Nevertheless, typical physiological values suggest the newly filtered fluid is reabsorbed at a rate u ≈ 0.86 j/c_o, so a hypertonic solution is being reabsorbed. The osmolarity of the filtrate c_F (M) will therefore diminish with distance from the site of filtration (the glomerulus) until the solution being transported is isotonic with the filtrate, u = j/c_F.With this steady-state condition, the distributed model becomes approximately equivalent to two membranes in series. The osmolarities are now: c_F ≈ (1 − 2ε)j/c_o, intracellular ≈ (1 − ε)c_o, lateral spaces ≈ c_o, and u ≈(1 + 2ε)j/c_o. The change in c_F is predicted to occur with a length constant of about 0.3 cm. Thus, membrane transport tends to adjust transmembrane osmotic gradients toward εc_o, which induces water flow that is isotonic to within order ε. These findings provide a plausible hypothesis on how the proximal tubule or other epithelia appear to transport an isotonic solution.     

<Emphasis Type="Italic">Paracoccus denitrificans</Emphasis> proton-translocating ATPase: Kinetics of oxidative phosphorylation

The initial rates of ATP synthesis catalyzed by tightly coupled Paracoccus denitrificans plasma membrane were measured. The reaction rate was hyperbolically dependent on the substrates, ADP and inorganic phosphate (P_i). Apparent K _m values for ADP and P_i were 7–11 and 60–120 μM, respectively, at saturating concentration of the second substrate (pH 8.0, saturating Mg²⁺). These values were dependent on coupling efficiency. The substrate binding in the ATP synthesis reaction proceeds randomly: K _m value for a given substrate was independent of the concentration of the other one. A decrease of electrochemical proton gradient by the addition of malonate (when succinate served as the respiratory substrate) or by a decrease of steady-state level of NADH (when NADH served as the respiratory substrate) resulted in a proportional decrease of the maximal rates and apparent K _m values for ADP and P_i (double substitution, ping-pong mechanism). The kinetic scheme for ATP synthesis was compared with that described previously for the proton-translocating ATP hydrolysis catalyzed by the same enzyme preparation (T. V. Zharova and A. D. Vinogradov (2006) Biochemistry, 45, 14552–14558).     

Chemotactic collapse for the Keller-Segel model

 This work is concerned with the system (S) {u _t =Δu − χ∇ (u∇v) for x∈Ω, t>0Γ v _t =Δv+(u−1) for x∈Ω, t>0 where Γ, χ are positive constants and Ω is a bounded and smooth open set in ℝ². On the boundary ∂Ω, we impose no-flux conditions: (N) ∂u∂n =∂v∂n =0 for x∈∂ Ω, t>0 Problem (S), (N) is a classical model to describe chemotaxis corresponding to a species of concentration u(x, t) which tends to aggregate towards high concentrations of a chemical that the species releases. When completed with suitable initial values at t=0 for u(x, t), v(x, t), the problem under consideration is known to be well posed, locally in time. By means of matched asymptotic expansions techniques, we show here that there exist radial solutions exhibiting chemotactic collapse. By this we mean that u(r, t) →Aδ(y) as t→T for some T<∞, where A is the total concentration of the species. Received 9 March 1995; received in revised form 25 December 1995     

Purinergic Modulation of Na+,K+,Cl− Cotransport and MAP Kinases is Limited to C11-MDCK Cells Resembling Intercalated Cells from Collecting Ducts

We demonstrated recently that in renal epithelial cells from collecting ducts of Madin-Darby canine kidneys (MDCK), Na⁺,K⁺,Cl⁻ cotransport is inhibited up to 50% by ATP via its interaction with P_2Y purinoceptors (Biochim. Biophys. Acta 1998. 1369:233–239). In the present study we examined which type of renal epithelial cells possesses the highest sensitivity of Na⁺,K⁺,Cl⁻ cotransport to purinergic regulation. We did not observe any effect of ATP on Na⁺,K⁺,Cl⁻ cotransport in renal epithelial cells from proximal and distal tubules, whereas in renal epithelial cells from rabbit and rat collecting ducts ATP decreased the carrier's activity by ∼30%. ATP did not affect Na⁺,K⁺,Cl⁻ cotransport in C7 subtype MDCK cells possessing the properties of principal cells but led to ∼85% inhibition of this carrier in C11-MDCK cells in which intercalated cells are highly abundant. Both C7- and C11-MDCK exhibited ATP-induced IP₃ and cAMP production and transient elevation of [Ca²⁺] _i . In contrast to the above-listed signaling systems, ATP-induced phosphorylation of ERK and JNK MAP kinases was observed in C11-MDCK only. Thus, our results reveal that regulation of renal Na⁺,K⁺,Cl⁻ cotransport by P_2Y receptors is limited to intercalated cells from collecting ducts and indicate the involvement of the MAP kinase cascade in purinergic control of this ion carrier's activity. Received: 10 June 1999/Revised: 23 August 1999     

Identification of a cDNA/Protein Leading to an Increased P i -uptake in Xenopus laevis Oocytes

In a previous report we documented an increased Na⁺-dependent transport of inorganic phosphate (P _i ) in Xenopus laevis oocytes injected with mRNA isolated from rabbit duodenum (Yagci et al., Pfluegers Arch. 422:211–216, 1992; ref 24). In the present study we have used expression cloning in oocytes to search for the cDNA/mRNA involved in this effect. The identified cDNA (provisionally named PiUS; for P _i -uptake stimulator) lead to a 3-4-fold stimulation of Na⁺-dependent P _i -uptake (10ng cRNA injected, 3–5 days of expression). Na⁺-independent uptake of P _i was also affected but transport of sulphate and l-arginine (in the presence or absence of sodium) remained unchanged. The apparent K _m -values for the induced Na⁺-dependent uptake were 0.26 ± 0.04 mm for P _i and 14.8 ± 3.0 mm for Na⁺. The 1796 bp cDNA codes for a protein of 425 amino acids. Hydropathy analysis suggests a lack of transmembrane segments. In vitro translation resulted in a protein of 60 kDa and provided no evidence of glycosylation. In Northern blots a mRNA of ∼2 kb was recognized in various tissues including different intestinal segments, kidney cortex, kidney medulla, liver and heart. Homology searches showed no similarity to proteins involved in membrane transport and its control. In conclusion, we have cloned from a rabbit small intestinal cDNA library a novel cDNA encoding a protein stimulating P _i -uptake into Xenopus laevis oocytes, but which is not a P _i -transporter itself. Received: 31 July 1996/Revised: 16 October 1996     

Comparative Permeabilities of the Paracellular and Transcellular Pathways of Corneal Endothelial Layers

Layers of rabbit corneal endothelial cells were cultured on permeable inserts. We characterized the diffusional permeability of the cell layer to nonelectrolyte and charged molecules and compared the diffusional and filtration permeabilities of the paracellular and transcellular pathways. We determined the rates of diffusion of ³H- and ¹⁴C-labeled nonelectrolyte test molecules and estimated the equivalent pore radius of the tight junction. Negatively charged molecules permeate slower than neutral molecules, while positively charged molecules permeate faster. Palmitoyl-dl-carnitine, which opens tight junctions, caused an increase of permeability and equivalent pore radius. Diffusional water permeability was determined with ³H-labeled water; the permeabilities of the tight junction and lateral intercellular space were calculated using tissue geometry and the Renkin equation. The diffusional permeability (P _d ) of the paracellular pathway to water is 0.57 μm s⁻¹ and that of the transcellular path is 2.52 μm s⁻¹. From the P _d data we calculated the filtration permeabilities (P _f ) for the paracellular and transcellular pathways as 41.3 and 30.2 μm s⁻¹, respectively. In conclusion, the movement of hydrophilic molecules through tight junctions corresponds to diffusion through negatively charged pores (r = 2.1 ± 0.35 nm). The paracellular water permeability represents 58% of the filtration permeability of the layer, which points to that route as the site of sizable water transport. In addition, we calculated for NaCl a reflection coefficient of 0.16 ≤ σ_NaCl ≤ 0.33, which militates against osmosis through the junctions and, hence, indirectly supports the electro-osmosis hypothesis.     

Applications of the ETS-NOCV method in descriptions of chemical reactions

The present study characterizes changes in the electronic structure of reactants during chemical reactions based on the combined charge and energy decomposition scheme, ETS-NOCV (extended transition state–natural orbitals for chemical valence). Decomposition of the activation barrier, ΔE ^#, into stabilizing (orbital interaction, ΔE _orb, and electrostatic, ΔE _elstat) and destabilizing (Pauli repulsion, ΔE _Pauli, and geometry distortion energy, ΔE _dist) factors is discussed in detail for the following reactions: (I) hydrogen cyanide to hydrogen isocyanide, HCN → CNH isomerization; (II) Diels-Alder cycloaddition of ethene to 1,3-butadiene; and two catalytic processes, i.e., (III) insertion of ethylene into the metal-alkyl bond using half-titanocene with phenyl-phenoxy ligand catalyst; and (IV) B–H bond activation catalyzed by an Ir-containing catalyst. Various reference states for fragments were applied in ETS-NOCV analysis. We found that NOCV-based deformation densities (Δρ _i) and the corresponding energies ΔE _orb(i) obtained from the ETS-NOCV scheme provide a very useful picture, both qualitatively and quantitatively, of electronic density reorganization along the considered reaction pathways. Decomposition of the barrier ΔE^# into stabilizing and destabilizing contributions allowed us to conclude that the main factor responsible for the existence of positive values of ΔE ^# for all processes (I, II, III and IV) is Pauli interaction, which is the origin of steric repulsion. In addition, in the case of reactions II, III and IV, a significant degree of structural deformation of the reactants, as measured by the geometry distortion energy, plays an important role. Depending on the reaction type, stabilization of the transition state (relatively to the reactants) originating either from the orbital interaction term or from electrostatic attraction can be of vital importance. Finally, use of the ETS-NOCV method to describe catalytic reactions allows extraction of information on the role of catalysts in determination of ΔE ^#.     

Kinetic processes initiated by a nanosecond high-current discharge in hot air

Results from numerical investigations of kinetic processes initiated by a pulsed nanosecond discharge in hot (T ₀ ≥ 1000 K) air at atmospheric pressure are presented. The calculated results on the dynamics of the electron density, the population of the N₂(B³Π _g ) and N₂(C³Π _u ) states, and the atomic oxygen density in the axial discharge region agree with experiment. The method for determining the gas temperature by measuring the rotational structure of the transitions N₂(C³Π _u , ν) → N₂(B³Π _g , ν′) of the 2⁺ nitrogen system is analyzed. It is shown that, in relatively weak reduced electric fields typical of secondary discharge pulses, the electron impact excitation of the N₂(C³Π _u ) state from the ground state N₂(X¹Σ _g ⁺) can be accompanied by its additional step population from the N₂(B³Π _g ), N₂(a′Σ _u ⁻), and other electronic states. This effect substantially influences the rotational distribution of nitrogen molecules in the N₂(C³Π _u , ν) state; moreover, the temperature determined from this distribution can be substantially higher than the true gas temperature.     

Renal Water Molecular Diffusion Characteristics in Healthy Native Kidneys: Assessment with Diffusion Tensor MR Imaging

Background

To explore the characteristics of diffusion tensor imaging (DTI) and magnetic resonance (MR) imaging in healthy native kidneys.

Methods

Seventy-three patients without chronic kidney disease underwent DTI-MRI with spin echo-echo planar (SE-EPI) sequences accompanied by an array spatial sensitivity encoding technique (ASSET). Cortical and medullary mean, axial and radial diffusivity (MD, AD and RD), fractional anisotropy (FA) and primary, secondary and tertiary eigenvalues (λ₁, λ₂, λ₃) were analysed in both kidneys and in different genders.

Results

Cortical MD, λ₂, λ₃, and RD values were higher than corresponding medullary values. The cortical FA value was lower than the medullary FA value. Medullary λ₁ and RD values in the left kidney were lower than in the right kidney. Medullary λ₂, and λ₃ values in women were higher than those in men. Medullary FA values in women were lower than those in men. Medullary FA (r = 0.351, P = 0.002) and λ₁ (r = 0.277, P = 0.018) positively correlated with eGFR. Medullary FA (r = −0.25, P = 0.033) negatively correlated with age.

Conclusions

Renal water molecular diffusion differences exist in human kidneys and genders. Age and eGFR correlate with medullary FA and primary eigenvalue.     

Extended Flip-back Schemes for Sensitivity Enhancement in Multidimensional HSQC-type Out-and-back Experiments

In many NMR experiments, only polarisation of a limited sub-set of all protons is converted into observable coherence. As recently shown by the “longitudinal” TROSY implementation (Pervushin et al. (2002) J. Am. Chem. Soc., 124, 12898–12902) and SOFAST-HMQC (Schanda and Brutscher (2005) J. Am. Chem. Soc., 127, 8014–8015), recovery of unused polarisation can be used indirectly and unspecifically to cool the proton lattice and, thus, accelerate re-equilibration for the selected proton subset. Here we illustrate transfer of this principle to HSQC-based multi-dimensional out-and-back experiments that exploit only polarisation of ¹⁵N-bound protons. The presented modifications to the pulse sequences can be implemented broadly and easily, extending standard flip-back of water polarisation to a much larger pool of protons that may comprise all non−¹⁵N-bound protons. The underlying orthogonal separation of H^N polarisation (selected by the main transfer path) from unused H^u polarisation (flipped-back on the recovery path) is thereby achieved through positive or negative selection by J-coupling, or using band-selective pulses. In practice, H^u polarisation recovery degrades mostly through cumulative pulse imperfections and transverse relaxation; we present, however, strategies to substantially minimise such losses particularly during interim proton decoupling. Depending on the protein’s relaxation properties and the extended flip-back scheme employed, we recovered up to 60% H^u equilibrium polarisation. The concomitant cooling of the proton lattice afforded substantial gains of more than 40%, relative to the water-only flip-back version, in the fast pulsing regime with re-equilibration delays τ much shorter than optimal (τ_opt = 1.25 · T₁(H^N)). These would be typically employed if resolution requirements dominate the total measurement time. Contrarily, if sensitivity is limiting and optimal interscan delays τ_opt can be set (optimal pulsing regime), the best of the presented flip-back schemes may still afford up to ca. 10% absolute sensitivity enhancement.     

A region-based model framework for the rat urine concentrating mechanism

The highly structured organization of tubules and blood vessels in the outer medulla of the mammalian kidney is believed to result in preferential interactions among tubules and vessels; such interactions may promote solute cycling and enhance urine concentrating capability. In this study, we formulate a new model framework for the urine concentrating mechanism in the outer medulla of the rat kidney. The model simulates preferential interactions among tubules and vessels by representing two concentric regions and by specifying the fractions of tubules and vessels assigned to each of the regions. The model equations are based on standard expressions for transmural transport and on solute and water conservation. Model equations, which are derived in dynamic form, are solved to obtain steady-state solutions by means of a stable and efficient numerical method, based on the semi-Lagrangian semi-implicit method and on Newton’s method. In this application, the computational cost scales as O(N ²), where N is the number of spatial subintervals along the medulla. We present representative solutions and show that the method generates approximations that are second-order accurate in space and that exhibit mass conservation.     

Osmotic water permeability of isolated vacuoles

We measured the osmotic water permeability (P _os) of vacuoles isolated from onion (Allium cepa L.), rape (Brassica napus L.), petunia (Petunia hybrida Hook.) and red beet (Beta vulgaris L.). For all the vacuolar types investigated, P _os values were in the range 200–1000 μm s⁻¹. The change in membrane surface area induced by an osmotic gradient was smaller than 2–6%. The vacuolar P _os values for red beet and onion were reduced by 1 mM HgCl₂, to 14% and 30% of the control values, respectively, but were partially restored to 51% and 76% by 5 mM β-mercaptoethanol. These results suggest that aquaporins were present in all the vacuoles tested. In HgCl₂-treated onion vacuoles, the reduced P _os (56 μm s⁻¹) had a low activation energy (approx. 6 kJ mol⁻¹), indicating that water permeation was still occurring mainly via aquaporins, and that the water permeability of the lipid part of the vacuolar membrane is probably very low. Received: 18 February 1999 / Accepted: 21 June 1999     

Bioactive metabolites from <Emphasis Type="Italic">Phoma</Emphasis> species,an endophytic fungus from the Chinese medicinal plant <Emphasis Type="Italic">Arisaema erubescens</Emphasis>

Through bioassay-guided fractionation, the EtOAc extract of a culture broth of the endophytic fungus Phoma species ZJWCF006 in Arisaema erubescens afforded a new α-tetralone derivative, (3S)-3,6,7-trihydroxy-α-tetralone (1), together with cercosporamide (2), β-sitosterol (3), and trichodermin (4). The structures of compounds were established on the basis of spectroscopic analyses. Compounds 1, 2, and 3 were obtained from Phoma species for the first time. Additionally, the compounds were subjected to bioactivity assays, including antimicrobial activity, against four plant pathogenic fungi (Fusarium oxysporium, Rhizoctonia solani, Colletotrichum gloeosporioides, and Magnaporthe oryzae) and two plant pathogenic bacteria (Xanthomonas campestris and Xanthomonas oryzae), as well as in vitro antitumor activities against HT-29, SMMC-772, MCF-7, HL-60, MGC80-3, and P388 cell lines. Compound 1 showed growth inhibition against F. oxysporium and R. solani with EC₅₀ values of 413.22 and 48.5 μg/mL, respectively. Additionally, compound 1 showed no cytotoxicity, whereas compound 2 exhibited cytotoxic activity against the six tumor cell lines tested, with IC₅₀ values of 9.3 ± 2.8, 27.87 ± 1.78, 48.79 ± 2.56, 37.57 ± 1.65, 27.83 ± 0.48, and 30.37 ± 0.28 μM, respectively. We conclude that endophytic Phoma are promising sources of natural bioactive and novel metabolites.     

Effects of water stress on gas exchange of field grown <Emphasis Type="Italic">Zea mays</Emphasis> L. in Southern Italy: an analysis at canopy and leaf level

Zea mays is cultivated in the Mediterranean regions where summer drought may lead to photoinhibition when irrigation is not available. In this work the response of maize to water stress was evaluated by gas exchange measurements at the canopy and leaf level. Leaf gas exchange was assessed before, during and after water stress, while canopy turbulent fluxes of mass and energy were performed on a continuous basis. In the early growth period, a linear increment of net ecosystem photosynthetic rate (P _NE) to incoming of photosynthetic photon flux density (PPFD) was found and net leaf photosynthetic rate (P _NL) showed the tendency to saturate under high irradiance. During water stress, the relationship between P _NE and PPFD became curvilinear and both P _NE and P _NL saturated in a range between 1,000 and 1,500 μmol (photons) m⁻² s⁻¹. Leaf water potential (ψ_l) dropped from −1.50 to −1.88 MPa during water stress, indicating that leaf and canopy gas exchanges were limited by stomatal conductance. With the restoration of irrigation, P _NE, P _NL and ψ_l showed a recovery, and P _NE and P _NL reached the highest values of whole study period. Leaf area index (LAI) reached a value of 3.0 m² m⁻². The relationship between P _NE and PPFD remained curvilinear and P _NE values were lower than those of a typical well-irrigated maize crop. The recovery in P _NE and P _NL after stress, and ψ_l values during stress indicate that the photosynthetic apparatus was not damaged while soil moisture stress after-effects resulted in a sub-optimal LAI values, which in turn depressed P _NE.