Proof of the Feldman–Karlin conjecture on the maximum number of equilibria in an evolutionary system

Feldman and Karlin conjectured that the number of isolated fixed points for deterministic models of viability selection and recombination among n possible haplotypes has an upper bound of 2ⁿ−1. Here a proof is provided. The upper bound of 3ⁿ⁻¹ obtained by Lyubich et al. (2001) using Bézout’s Theorem (1779) is reduced here to 2ⁿ through a change of representation that reduces the third-order polynomials to second order. A further reduction to 2ⁿ−1 is obtained using the homogeneous representation of the system, which yields always one solution ‘at infinity’. While the original conjecture was made for systems of selection and recombination, the results here generalize to viability selection with any arbitrary system of bi-parental transmission, which includes recombination and mutation as special cases. An example is constructed of a mutation-selection system that has 2ⁿ−1 fixed points given any n, which shows that 2ⁿ−1 is the sharpest possible upper bound that can be found for the general space of selection and transmission coefficients.     

Dependence of the resting [Ca2+]cyt of RBL-1 cells on Ca2+ entry

The cytoplasmic Ca²⁺ concentration ([Ca²⁺]_cyt) in resting cells in an equilibrium between several influx and efflux mechanisms. Here we address the question of whether capacitative Ca²⁺ entry to some extent is active at resting conditions and therefore is part of processes that guarantee a constant [Ca²⁺]_cyt. We measured changes of [Ca²⁺]_cyt in RBL-1 cells with fluorometric techniques. An increase of the extracellular [Ca²⁺] from 1.3 mM to 5 mM induced an incrase in [Ca²⁺]_cyt from 105±10 nM to 145±8.5 nM. This increase could be inhibited by 10 μM Gd³⁺, 10 μM La³⁺ or 50 μM 2-aminoethoxydiphenyl borate, blockers of capacitative Ca²⁺ entry. Application of those blockers to a resting cell in a standard extracellular solution (1.3 mM Ca²⁺) resulted in a decrease of [Ca²⁺]_cyt from 105±10 nM to 88.5±10 nM with La³⁺, from 103±12 to 89±12 nM with Gd³⁺ and from 102±12 nM to 89.5±5 nM with 2-aminoethoxydiphenyl borate. From these data, we conclude that capacitative Ca²⁺ entry beside its function in Ca²⁺ signaling contributes to the regulation of resting [Ca²⁺]_cyt.     

The use of phospholipid-impregnated millipore filters for recording nonelectrogenic cation flows in the presence of Me/nH exchangers

It has been shown that with a cation (K⁺, Na⁺, Ca²⁺) concentration gradient on a Millipore filter impregnated with a decane solution of phospholipid, in the presence of a Meⁿ⁺/nH⁺ exchanger (nigericin, monensin, A23187), addition of a protonophore induces the formation of an electric potential positively charged on the side where the concentration of the cation is lower. The formation of the potential is induced by the hydrogen ion concentration gradient in the filter and in the unstirred layers as a result of the Meⁿ⁺/nH⁺ exchange. In such a system, with a pH gradient on the filter in the presence of monensin and valinomycin, a potential is generated with the plus on the side of the lower concentration of hydrogen. The effect is the result of the formation of a potassium ion concentration gradient in the unstirred layers in the course of the K⁺/H⁺ exchange. It is concluded that phospholipid-impregnated filters can be used for search and identification of electroneutral membrane ionophores of the Meⁿ⁺/nH⁺ exchanger type.     

Synthesis of Several Fructo-oligosaccharides by Asparagus Fructosyltransferases

Nine fructo-oligosaccharides, synthesized in vitro from sucrose by an enzyme preparation from asparagus roots, were isolated and their structures were elucidated to be 1^F (1-β-fructofuranosyl)_n sucrose [n = 1 (1-kestose), 2 (nystose) and 3], 6^G (1-β-fructofuranosyl)_n sucrose [n=1 (neokestose), 2 and 3] and 1^F (1-β-fructofuranosyl)_m-6^G (1-β-fructofuranosyl)_n sucrose [m=1, n=1; m=2, n =1; and m =1, n=2]. These saccharides are all known to occur naturally in asparagus roots, but 6^G (1-β-fructofuranosyl)₃ sucrose and 1^F (1-β-fructofuranosyl)_m-6^G-(1-β-fructofuranosyl)_n sucrose (m=1, n =1; and m=1, n=2) were the first saccharides enzymatically synthesized in vitro. Also three types of fructosyltransferases were presumed to be involved in the biosynthesis of these oligosaccharides in asparagus roots.     

Limitations of the Eadie-Hofstee plot to estimate kinetic parameters of intestinal transport in the presence of an unstirred water layer

Summary In the presence of an intestinal unstirred water layer, the relationship between substrate concentration (C ₁) and unidirectional flux (J _d) is not described by the equation for a rectangular hyperbole. Accordingly, transformations of the Michaelis-Menten equation may not necessarily be linear and may lead to serious errors in the estimation of the affinity constant (K _m) and maximal transport rate (J _d ^m ) of carrier-mediated processes. An equation has previously been derived which describedJ _d under conditions of varying effective thickness or surface area of the unstirred water layer, the free diffusion coefficient of the probe molecule, and the distribution of transport sites along the villus. These theoretical curves have been analyzed by using the Eadie-Hofstee transformation (J _d vs. J_d/C₁) of the Michaelis-Menten equation. Use of this plot leads to serious discrepancies between the true and apparent affinity constants and between true and apparent maximal transport rates. These differences are further magnified by failure to correct for the contribution of passive permeation. The Eadie-Hofstee plot is of use, however, to infer certain qualitative characteristics of active transport processes, such as the variation in affinity constants and overlying resistance of the unstirred water layer at different sites along the villus and to predict the adequacy of the correction for the contribution of passive permeation.Abbreviations Used in the Text C ₁ Concentration of the probe molecule in the bulk phase - C ₂ Concentration of the probe molecule at the aqueous-membrane interface - d Effective thickness of UWL - D Free diffusion coefficient - d ⁿ d atn th segment of the villus - f _n Proportion of total carrier transport sites present on each segment of villus - J Unidirectional flux of probe molecule, uncorrected for surface area - J _d Unidirectional flux of probe molecule determined experimentally, corrected for surface area - J _d ^m Maximal transport rate, corrected for surface area - J _d ^m* Apparent maximal transport rate - J ^m Maximal transport rate, uncorrected for surface area - K _m Michaelis constant (true affinity constant) - K _m ^* Apparent affinity constant - K _m ⁿ K _m atnth segment of the villus - n The perpendicular height of the villus was divided into ten equal segments numberedn ₁ ton ₁₀ - p Passive permeability coefficient - S _m Functional surface area of the membrane - S _w Effective surface of UWL - S _w ⁿ S _w atnth segment of the villus - UWL Intestinal unstirred water layer     

Pressure- and parathyroid-hormone-dependent Ca2+ transport in rabbit connecting tubule: Role of the stretch-activated nonselective cation channel

To characterize the Ca²⁺ transport process across the apical membrane of the rabbit connecting tubule (CNT), we examined the effects of luminal pressure on parathyroid hormone (PTH)-dependent apical Ca²⁺ transport in this segment perfused in vitro. An increase of perfusion pressure (0.2 to 1.2 KPa) caused cytoplasmic free Ca²⁺ concentration ([Ca²⁺].) to increase by 42 ± 11 nm in Fura-2 loaded perfused CNT. The response was accentuated when 10 nm PTH was added to the bath (101 ± 30 nm, n = 6). Addition of 0.1 mm chlorphenylthio-cAMP (CPT-cAMP) to the bath also augmented the [Ca²⁺]; response to pressure from 36 ± 16 to 84 ± 26 nm (n = 3). Under steady perfusion pressure at 1.2 KPa, PTH (10 nm) increased [Ca²⁺]; by 31 ± 7 nm (n = 5), whereas it did only slightly by 6 ± 2 nm (n = 12) at 0.2 KPa. The pressure-dependent increase of [Ca²⁺]; was abolished by removing luminal Ca²⁺ (n = 3), and was not affected by 0.1 and 10 m nicardipine (n = 4) in the presence of 10 nm PTH. Cell-attached patch clamp studies on the apical membrane of everted CNT with pipettes filled with either 200 mm CaCl₂ or 140 mm NaCl revealed channel activities with conductances of 42 ± 2 pS (n = 4) or 173 ± 7 pS (n = 5), respectively. An application of negative pressure (–4.9 KPa) to the patch pipette augmented its mean number of open channels (NP ₀ ) from 0.005 ± 0.001 to 0.022 ± 0.005 in the Ca²⁺-filled pipette, and was further accelerated to 0.085 ± 0.014 (n = 3) by 0.1 mm CPT-cAMP. In the Na⁺-filled pipette, similar results were obtained (n = 3), and CPT-cAMP did not activate the stretch-activated channel in the absence of negative pressure (n = 3). These results suggest that a stretch-activated nonselective cation channel exists in the apical membrane of the CNT and that it is activated by PTH in the presence of hydrostatic pressure, allowing entry of Ca²⁺ transport from the apical membrane.We appreciate Ms. Hisayo Hosaka and Ms. Yuki Oyama for their technical assistance and Ms. Keiko Sakai for her secretarial work. This research was supported by grants from the Ministry of Education and Culture of Japan (No. 05670054) and from Yamanouchi Foundation for Research on Metabolic Disorders (1992–1993).     

The mechanism of nitrate transport across the tonoplast of barley root cells

Nitrate-selective microelectrodes were used to measure not only nitrate activity in the cytoplasm and vacuole of barley (Hordeum vulgare L.) root cells, but also the tonoplast electrical membrane potential. For epidermal cells, the mean cytoplasmic and vacuolar pNO₃ (-log₁₀ [NO₃]) values were 2.3±0.04 (n=19) and 1.41±0.03 (n=35), respectively, while for cortical cells, the mean cytoplasmic and vacuolar nitrate values were 2.58±0.18 (n=4) and 1.17±0.06 (n=13), respectively. These results indicate that the accumulation of nitrate in the vacuole must be an active process. Proton-selective microelectrodes were used to measure the proton gradient across the tonoplast to assess the possibility that nitrate transport into the vacuole is mediated by an H⁺/NO ₃ ^– antiport mechanism. For epidermal cells, the mean cytoplasmic and vacuolar pH values were 7.12±0.06 (n=10) and 4.93±0.11 (n=22), respectively, while for cortical cells, the mean cytoplasmic and vacuolar pH values were 7.24±0.07 (n=3) and 5.09±0.17 (n=7), respectively. Calculations of the energetics for this mechanism indicate that the observed gradient of nitrate across the tonoplast of both epidermal and cortical cells could be achieved by an H⁺/NO ₃ ^– antiport with a 11 stoichiometry.Abbreviations and Symbols G/F free-energy change for H⁺/NO ₃ ^– antiport - F Faraday constant - pH_c cytoplasmic pH - pH_v vacuolar pH - p[NO₃]_c log₁₀ (cytoplasmic [NO ₃ ^– ]) - P[NO₃]_v -log₁₀ (vacuolar [NO₃]) We wish to thank Dr. K. Moore for assistance with statistical analysis.     

Spatial pattern indices based on distances between individuals on a line-segment with finite length

Let us consider a strip-wise habitat of line-segment, like a corridor, to simplify the subject mathematically, and assume that the length of the habitat is γ and there are n individuals. Here, we assume that the spatial pattern of the individuals is random if the n distances from the left end of the habitat to each individual follow a uniform distribution on the strip. Under such an assumption, the variance of the distances between any two neighbors is represented by the formula nθ²(n+1)⁻²(n+2)⁻¹ and the variance between n+1 distances between n individuals from the left end to the right end to the strip, is represented by the formula nθ²(n+1)⁻²(n+2)⁻¹. These two kinds of variances can be used for determining (1) the spatial pattern of a population on the strip and (2) the spatial structure within the population, by comparison with the variances calculated from the data. Two examples cited from the literature, a cattle population on a pasture and an aphid population on a sycamore leaf, are presented.     

Conformation of sequential polypeptides of (Lysi-Leuj), (Lysi-Serj), and (Lys-Gly) in sodium dodecyl sulfate solution

A series of sequential polypeptides (Lys_iR_j)_n (R is Leu, Ser, or Gly) and random copolypeptides, (Lys^x, Leu^y)_n, were synthesized. Their conformation in NaDodSO₄ solution was determined by CD. Only (Lys-Leu)_n, (Lys-Ser)_n, and (Lys₃-Ser)_n adopt a stable β-form in the surfactant solution; (Lys-Ser₂)_n, (Lys-Ser₃)_n, (Lys₂-Ser₂)_n, and (Lys₂-Ser)_n have an unstable β-form, which reverts to an unordered form in high NaDodSO₄ concentrations, even though both Ser and DodSO-bound Lys⁺ are β-formers. In contrast, (Lys-Gly)_n remains unordered in NaDodSO₄ solution. On the other hand, Lys-rich (Lys₂-Leu)_n forms an unstable helix and (Lys₂-Leu₂)_n a stable helix in NaDodSO₄ solution. In 25 mM NaDodSO₄ (Lys^x, Leu^y)_n also forms a helix up to x = 75 and reverts to the β-form at x = 90. This compares with the helical conformation of (Lys^x, Ala^y)_n up to x = 65 and its β-form at x = 90, suggesting that Leu is an even stronger helix-former than Ala. Our results may provide a plausible explanation for the increase in helicity and disruption of the β-form for many proteins in NaDodSO₄ solution, that is, the polypeptide chain of a protein usually favors a helical conformation over a β-form in the presence of excess surfactant.     

Modulation of the epithelial calcium channel, ECaC, by intracellular Ca

We have studied the modulation by intracellular Ca²⁺of the epithelial Ca²⁺channel, ECaC, heterologously expressed in HEK 293 cells. Whole-cell and inside-out patch clamp current recordings were combined with FuraII-Ca²⁺measurements:1. Currents through ECaC were dramatically inhibited if Ca²⁺was the charge carrier. This inhibition was dependent on the extracellular Ca²⁺concentration and occurred also in cells buffered intracellularly with 10 mM BAPTA.2. Application of 30 mM [Ca²]_einduced in non-Ca²] buffered HEK 293 cells at −80 m V an increase in intracellular Ca²⁺([Ca²]_i) with a maximum rate of rise of 241 ±15nM/s (n= 18 cells) and a peak value of 891 ± 106 nM. The peak of the concomitant current with a density of 12.3 ± 2.6 pA/pF was closely correlated with the peak of the first-time derivative of the Ca²⁺transient, as expected if the Ca²⁺transient is due to influx of Ca²⁺. Consequently, no Ca²⁺] signal was observed in cells transfected with the Ca²⁺impermeable ECaC mutant, D542A, in which an aspartate in the pore region was neutralized.3. Increasing [Ca²⁺]_iby dialyzing the cell with pipette solutions containing various Ca²⁺] concentrations, all buffered with 10 mM BAPTA, inhibited currents through ECaC carried by either Na⁺or Ca²⁺] ions. Half maximal inhibition of Ca²⁺currents in the absence of monovalent cations occurred at 67 nM (n between 6 and 8), whereas Na⁺currents in the absence of Ca²⁺] and Mg²⁺were inhibited with an IC₅₀of 89 nM (n between 6 and 10). Currents through ECaC in the presence of 1 mM Ca²⁺and Na⁺, which are mainly carried by Ca²⁺, are inhibited by [Ca²]_iwith an IC₅₀of 82 nM (n between 6 and 8). Monovalent cation currents through the Ca²⁺impermeable D542A ECaC mutant were also inhibited by an elevation of [Ca²]_i(IC₅₀= 123 nM, n between 7 and 18).4. The sensitivity of ECaC currents in inside-out patches for [Ca²]_iwas slightly shifted to higher concentrations as compared with whole cell measurements. Half-maximal inhibition occurred at 169 nM if Na⁺was the charge carrier (n between 4 and 11) and 228 nM at 1 mM [Ca²]_e(n between 4 and 8).5. Recovery from inhibition upon washout of extracellular Ca²⁺(whole-cell configuration) or removal of Ca²⁺from the inner side of the channel (inside-out patches) was slow in both conditions. Half-maximal recovery was reached after 96 ± 34 s (n= 15) in whole-cell mode and after 135 ± 23 s (n= 17) in inside-out patches.6. We conclude that influx of Ca²⁺through ECaC and [Ca²]_iinduce feedback inhibition of ECaC currents, which is controlled by the concentration of Ca²⁺in a micro domain near the inner mouth of the channel. Slow recovery seems to depend on dissociation of Ca²⁺from an internal Ca²⁺binding site at ECaC.     

Permeability parameters of the toad isolatedstratum corneum

Summary A technique for isolating thestratum corneum from the subjacent layers of the epithelium was developed which permits studying thestratum corneum as an isolated membrane mounted between half-chambers. The method basically consists of an osmotic shock induced by immersing a piece of skin in distilled water at 50°C for 2 min. When the membrane is bathed on each surface by NaCl-Ringer's solution, its electrical resistance is 14.1±1.3 cm² (n=10). This value is about 1/100 of the whole skin resistance in the presence of the same solution. The hydraulic filtration coefficient (L _p ) measured by a hydrostatic pressure method, with identical solutions on each side of the membrane, is 8.8×10^–5±1.5×10^–5 cm sec^–1 atm^–1 (n=10) in distilled water and 9.2×10^–5±1.4×10^–5 cm sec^–1 atm^–1 (n=10) in NaCl-Ringer's solution. These values are not statistically different and are within the range of 1/80 to 1/120 of the whole skinL _p . Thestratum corneum shows an amphoteric character when studied by KCl diffusion potentials at different pH's. The membrane presents an isoelectric pH of 4.6±0.3 (n=10). Above the isoelectric pH the potassium transport number is higher than the chloride transport number; below it, the reverse situation is valid. Divalent cations (Ca⁺⁺ or Cu⁺⁺) reduce membrane ionic discrimination when the membrane is negatively charged and are ineffective when the membrane fixed charges are protonated at low pH.     

Determination of aluminum and phosphorus in biological materials by reactor activation analysis using germanium as integral flux monitor and comparator

A method for determination of aluminum and phosphorus in biological materials, based on activation in a nuclear reactor and measurement of²⁸Al, produced by the²⁷Al(n, γ)²⁸Al and³¹P(n, α)²⁸Al reactions, is described. Irradiations in the undisturbed and epicadmium spectra provide a two-equation system in order to determine the contributions of aluminum and phosphorus to the total activities. Germanium is used as an integral flux monitor and comparator, through the reactions:⁷⁴Ge(n,γ)⁷⁵Ge,⁷⁶Ge(n,γ)⁷⁷Ge, and⁷⁷Ge, and⁷²Ge (n,p)⁷²Ga.

     

A simple, practical and complete O-time Algorithm for RNA folding using the Four-Russians Speedup

Background  

The problem of computationally predicting the secondary structure (or folding) of RNA molecules was first introduced more than thirty years ago and yet continues to be an area of active research and development. The basic RNA-folding problem of finding a maximum cardinality, non-crossing, matching of complimentary nucleotides in an RNA sequence of length n, has an O(n ³)-time dynamic programming solution that is widely applied. It is known that an o(n ³) worst-case time solution is possible, but the published and suggested methods are complex and have not been established to be practical. Significant practical improvements to the original dynamic programming method have been introduced, but they retain the O(n ³) worst-case time bound when n is the only problem-parameter used in the bound. Surprisingly, the most widely-used, general technique to achieve a worst-case (and often practical) speed up of dynamic programming, the Four-Russians technique, has not been previously applied to the RNA-folding problem. This is perhaps due to technical issues in adapting the technique to RNA-folding.     

Parameter Estimation for the Bateman Function via Moments of the Empirical Curve

The parameters of the function f(t)=c(e^?at-e^?bt) are related in a simple way to the moments ^∞ tⁿf(t)^dt(n=0, 1, 2). Using empirical values of f, the moments can be estimated by numerical integration. Therefrom estimates of the parameters are obtained by elementary algebra.     

Kinetic analysis of the template effect in ribooligoguanylate elongation

We have undertaken a complete kinetic analysis of the template-directed oligoguanylate synthesis originated in Orgel's laboratory (Inoue and Orgel, 1982). The reaction of guanosine 5′-phospho-2-methylimidazolide, 2-MelmpG, with ribooligoguanylates all 3′–5′ linked, designatedn ³ withn=7−12, was studied in the presence/absence of the complementary template polycytidylic acid, poly(C). Conditions were chosen where poly(C) and 2-MelmpG are in large excess over the oligoguanylate. In the absence of the template at 37 °C the reaction leads to three isomeric oligomers that are elongated by one monomer unit. They are the 3′–5′ linked, (n+1)³, the 2′–5′ linked, (n+1)², and the pyrophosphate product, (n+1) ^p , formed in an approximate ratio 1:2:5. In the presence of the template the reaction is 20-fold faster and yields productsn+1,n+2,n+3 etc. as long as 2-MelmpG is available. Most importantly the formation of the natural, 3′–5′ linked isomer, is enhanced selectively by 140-fold at 37 °C. Qualitative observations allow the conclusion that this enhancement is temperature dependent and increases with decreasing temperature. For example, at 1 °C only the 3′–5′ linked isomers were detected. Initial rates for the disappearance of then ³ oligoguanylate were determined at 1, 23, and 37 °C. It was found that the pseudo-first order rate constant for oligoguanylate elongation was linearly proportional to the 2-MelmpG concentration. This implies that the reaction complex poly(C)·n ³·2-MelmpG does not accumulate under the reaction conditions, a conclusion which is also supported by infrared data (Miles and Frazier, 1982). The implication of the above results with respect to chemical evolution is that lower temperatures, i.e., close to freezing, enhance the regioselectivity of these template-directed reactions and that one way to improve replication models may be sought in finding conditions that favor stable reaction complexes. NASA — National Research Council Research Fellow.     

Conformational change of the triple-helical structure. IV. Kinetics of the helix-folding of (Pro-Pro-Gly)n (n = 10, 12, and 15)

The kinetic curves of the helix-refolding of (PPG)_n (n = 10, 12, and 15) were analyzed with an all-or-none model. The Arrhenius plot of the overall rate constant of the helixfolding k_F showed a negative activation energy at high temperature. With the aid of a sequential model, it was concluded that the reason for the anomaly was the instability of short helices (shorter than seven helical units in a trimeric molecule), and/or the more rapid rates of helix-folding and helix-opening for shorter helices. The rate constant of the formation of one helical unit composed of three tripeptides at an end of a long helix was calculated to be 10^2–4 sec^?1. It was much smaller than that for other kinds of helices, such as an α helix (10¹⁰ sec^?1) or a double helix of nucleic acids (10^7–9sec^?1).     

Differential scanning calorimetry studies of NaCl effect on the inverse temperature transition of some elastin-based polytetra-, polypenta-, and polynonapeptides

Differential scanning calorimetry studies of the effect of NaCl on protein-based polymer self-assembly has been carried out on six elastin-based synthetic sequential polypeptides- i.e., the polypentapeptide (L -Val¹-L -Pro²-Gly³-L -Val⁴-Gly⁵)_n and its more hydrophobic analogues (L -Leu¹-L -Pro²-Gly³-L -Val⁴-Gly⁵)_n and (L -Val¹-L -Pro²-L -Ala³-L -Val⁴-Gly⁵)_n; the polytetrapeptide (L -Val¹-L -Pro²-Gly³-Gly⁴)_n and its more hydrophobic analogue (L -IIe¹-L -Pro²-Gly³-Gly⁴)_n; and the polynonapeptide (a pentatetra hybrid), (L -Val¹-L -Pro²-Gly³-L -Val⁴-Gly⁵-L -Val⁶-L -Pro⁷-Gly⁸-Gly⁹)_n. Previous physical characterizations of the polypentapeptides have demonstrated the occurrence of an inverse temperature transition since increase in order of the polypentapeptide, as the temperature is raised from below to above that of the transition, has been repeatedly observed using different physical characterizations. In the present experiments, it is observed that the transition temperatures of the polypeptides studied are linearly dependent on NaCl concentration. The molar effectiveness of NaCl in shifting the transition temperature ΔT_m/[N], is about 14°C/[N], with the dependence on peptide hydrophobicity being fairly small. Interestingly, however, the δΔQ/ [N] does depend on the hydrophobicity of a polypeptide.     

Δ53β hydroxysteroid dehydrogenase activity of the rat corpus luteum exhibits positive substrate-binding co-operativity: A continuous monitoring microdensitometric study with unfixed ovarian tissue sections

Δ⁵3β hydroxysteroid dehydrogenase activity transforms biologically inactive Δ⁵3β hydroxy steroids into the active Δ⁴3-keto products (e.g. pregnenolone to progesterone). Using a cytochemical procedure which allows for the continuous microdensitometric monitoring of an enzyme reaction as it proceeds and a well described cytochemical assay for Δ⁵3β HSD we have analysed the initial velocity rates (V_o) for dehydroepiandrosterone (DHEA) binding to this enzyme in regressing (i.e. 20α hydroxy steroid dehydrogenase positive) corpus luteum (CL) cells in unfixed tissue sections (5 μm) of the dioestrous and proestrous rat ovary. The results are mean ± S.E.M. The relationship between DHEA concentration (0 to 50 μM) and Δ⁵3β HSD activity in the dioestrous corpora lutea was sigmoidal and had an atypical 1/V_o versus 1/S plot, the x intercept being positive. Using a 1/V_o versus 1/S² plot the V_max was determined to be 1·0 ± 0·08 μmol min^?1 mg^?1 CL (n = 6). The Hill constant was 2·7 ± 0·02 (n = 6) suggesting a high degree of positive co-operativity for DHEA binding. The S concentration for half maximal activity was 17 ± 1 μmoles (n = 6). In the corpora lutea cells of the proestrous ovary, the V_max for DHEA transformation was unchanged (0·95 ± 0·04 μmol min^?1 mg^?1, n = 3) whilst the S_0·5 was significantly increased to 27 ± 0·1 (p < 0·01, n = 3). The Hill constant remained positive being 2·9 ± 0·2 (n = 3). NAD⁺ binding to 3β HSD in regressing corpora lutea of the proestrous ovary has been demonstrated previously to be hyperbolic and fit the classical Michaelis-Menten model.¹ Extending the analysis of NAD⁺ binding to the regressing corpus luteum of the dioestrous rat ovary revealed similar kinetic characteristics to that seen with the proestrous enzyme, the apparent V_max and K_m being 0·84 ± 0·04 μmol min^?1 mg^?1 CL (n = 3) and 27 ± 7 μmol 1^?1 (n = 3) respectively. The Hill constant was 1·1 ± 0·03 (n = 3), indicating no co-operativity of co-factor binding.     

Ability of base analogs to induce the SOS response: effect of a dam mutation and mismatch repair system

Summary 2-Aminopurine, 2-amino-N⁶-hydroxyadenine, 2-amino-N⁶-methoxyadenine and 2-amino-N⁶-methyl-N⁶-hydroxyadenine (but not N⁴-hydroxycytidine), strong mutagens of base analog type, may induce the SOS response in E. coli cells. This ability is greatly enhanced in dam3 mutants and abolished in dam3mutS, dam3mutH, and dam3mutL strains, thereby suggesting that the mismatch repair system is involved in the mechanism of induction.Abbreviations n²Pur 2-aminopurine - n²oh⁶Ade 2-amino-N⁶-hydroxyadenine - n²om⁶Ade 2-amino-N⁶-methyoxyadenine - n²-m⁶oh⁶Ade 2-amino-N⁶-methyl-N⁶-hydroxyadenine - oh⁴Cyd N⁴-hydroxycytidine - MC mitomycin C     

Structural requirements essential for elastin coacervation: favorable spatial arrangements of valine ridges on the three‐dimensional structure of elastin‐derived polypeptide (VPGVG)n

The elastin precursor tropoelastin possesses a number of polymeric peptides with repeating 3–9 mer sequences. One of these is the pentapeptide Val‐Pro‐Gly‐Val‐Gly (VPGVG) present in almost all animal species, and its polymer (VPGVG)n coacervates just as does tropoelastin. In the present study, in order to explore the structural requirements essential for coacervation, (VPGVG)n and its shortened repeat analogs (VPGV)n, (VPG)n, and (PGVG)n were synthesized and their structural properties were investigated. In our turbidity measurements, (VPGVG)n demonstrated complete reversible coacervation in agreement with previous findings. The Gly⁵‐deleted polymer (VPGV)n also achieved self‐association, though the onset of self‐association occurred at a lower temperature. However, the dissociation of (VPGV)n upon temperature lowering was found to occur in a three‐step process; the Val_i⁴‐Val_i+1¹ structure arising in the VPGV polypeptide appeared to perturb the dissociation. No self‐association was observed for (VPG)n or (PGVG)n repeats. Spectroscopic measurements by CD, FT‐IR, and ¹H‐NMR showed that the (VPGV)n and (VPG)n both assumed ordered structures similar to that of (VPGVG)n. These results demonstrated that VPGVG is a structural element essential to achieving the β‐spiral structure required for self‐association followed by coacervation, probably due to the ideal spatial arrangement of the hydrophobic Val residues. Copyright © 2011 European Peptide Society and John Wiley & Sons, Ltd.