ESR-Untersuchungen zur Radikalstruktur in bestrahltem L-Leucinhydrochlorid

Zusammenfassung Bei Röntgenbestrahlung von L-Leucin·HCl bei Zimmertemperatur wird das >C-H-Proton unter Bildung des Radikals (CH₃)₂ C-CH₂-CHNH₃ ⁺-COOH abgetrennt. Das von acht -Protonen stammende ESR-Spektrum wurde wegen nur schwacher Anisotropie der -Protonen-Hfs auch im polykristallinen Zustand vollständig aufgelöst, und es wurden folgende isotrope Aufspaltungen ermittelt: bei Messung bei Zimmertemperatur = 23.5±1 Gauß für sechs äquivalente CH₃-Protonen und =8,0±1 Gauß und = 38,8±1 Gauß für die zwei Methylenprotonen, bei Messung bei 77 °K entsprechend = 22,6±1 Gauß =8,8±1 Gauß und =45,2±1 Gauß (Temperaturabhängigkeit der CH₂-Protonenkopplung). Das bei Zimmertemperatur beobachtete Radikal wird bereits durch Bestrahlung bei 77 °K gebildet.

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ESR-studies on the structure of radicals in X-irradiated L-leucine hydrochloride

Summary The structure of radicals in X-irradiated polycrystalline L-leucine·HCl has been studied by ESR. At room temperature the radical (CH₃)₂ > C-CH₂-CHNH ₃ ⁺ -COOH is formed by abstraction of the >C-H-proton. The isotropic part of hyperfine interaction with eight -protons has been measured even in polycrystalline state with following values: at 300 °K =23,5±1 gauss for six equivalent CH₃-protons and =8.0±1 gauss and =38.8±1 gauss for two CH₂-protons, at 77 °K =22.6±1 gauss, =8.8±1 gauss and =45-2±1 gauss respectively (the coupling of the CH₂-protons is dependent from temperature). This radical is present already following irradiation at 77 °K.

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Herrn Prof. Dr. habil. Kh.Lohs möchten wir an dieser Stelle für die Unterstützung dieser Arbeit und wertvolle Diskussionen danken. Herrn Ing. N.Klimes, Frl. G.Klein und Herrn J.Benkert gilt unser Dank für die technische Assistenz, Herrn Ing. M.Kresse für die Bestrahlung der verwendeten Proben.     

Energy requirements of Adélie penguin (Pygoscelis adeliae) chicks

Summary The energy requirements of Adélie penguin (Pygoscelis adeliae) chicks were analysed with respect to body mass (W, 0.145–3.35 kg, n=36) and various forms of activity (lying, standing, minor activity, locomotion, walking on a treadmill). Direct respirometry was used to measure O₂ consumption ( ) and CO₂ production. Heart rate (HR, bpm) was recorded from the ECG obtained by both externally attached electrodes and implantable HR-transmitters. The parameters measured were not affected by hand-rearing of the chicks or by implanting transmitters. HR measured in the laboratory and in the field were comparable. Oxygen uptake ranged from in lying chicks to at maximal activity, RQ=0.76. Metabolic rate in small wild chicks (0.14–0.38 kg) was not affected by time of day, nor was their feeding frequency in the colony (Dec 20–21). Regressions of HR on were highly significant (p< 0.0001) in transmitter implanted chicks (n=4), and two relationships are proposed for the pooled data, one for minor activities ( ), and one for walking ( ). Oxygen consumption, mass of the chick (2–3 kg), and duration of walking (T, s) were related as , whereas mass-specific O₂ consumption was related to walking speed (S, m·s^-1) as .Abbreviations bpm beats per minute - D distance walked (m) - ECG electrocardiogram - HR heart rate (bpm) - ns number of steps - RQ respiratory quotient - S walking speed (m·s^-1) - T time walked (s) - W body mass (kg)     

Theoretical study of AlH(2+)n (n=1-7) dications

The structures and stability of 1–7 dications were calculated at the ab initio MP2/aug-cc-pVTZ level of theory. The dications AlH²⁺ 1 and 2 were characterized to be unstable thermodynamically. However, these and the stable dications, 3–7 have considerable kinetic barriers for deprotonation. Each of the structures 3–7 contains one or more two-electron three-center (2e–3c) bonds. Aluminum atoms of these dications carry most of the positive charges, as indicated by NBO charge calculations.Dedicated to Professor Dr. Paul von Ragué Schleyer on the occasion of his 75th birthday     

Inhibierungserscheinungen bei der alkoholischen Gärung,I. Einfluß der Ethanolkonzentration auf die spezifische Ethanolbildungsgeschwindigkeit von Saccharomyces cerevisiae

Differential values of the specific ethanol production rate \documentclass{article}\pagestyle{empty}\begin{document}$$ v_{(t)} = \frac{1}{{x_{(t)} }} \cdot \frac{{dP}}{{dt}} $$ \end{document} can be calculated exactly from experimental batch fermentation process data by use of a nonlinear regression programme. The method used is based on the fact, that the function P = f(t) can be approximated by an exponential equation. The specific ethanol production rate is calculated then from the first differential derivation of this equation using the appropriated values of actual biomass concentration. For two strains of Saccharomyces cerevisiae a linear and nonlinear kinetic pattern, respectively, was found for product formation. This result can be explained by a simple mathematical relation according to ν=ν₀ ? a . P^b,in which the exponent becomes 1 in the case of linear kinetic pattern.     

In Situ pH Measurement in Partly Frozen Aqueous Solution Using the Fluorescent Probe 8-Hydroxypyrene-1,3,6-Trisulfonic Acid

A method based on the fluorescence probe 8-hydroxypyrene-1,3,6-trisulfonic acid for in situ measurement of pH in partly frozen aqueous solutions was developed using multifrequency, phase-modulated fluorescence spectroscopy inherently correcting for light scattering. The probe was determined to have pK _a = 7.72 ± 0.03 at 25.0 °C extrapolated to zero ionic strength with as derived from temperature dependence (5 to 25 °C investigated). Ionic strength dependence of pK _a determined experimentally was described using Debye–Hückel formalism for ionic strength up to 3 M. Temperature and ionic strength dependence were combined to yield for determination of pH at subzero temperatures with α experimentally determined from the ratio between fluorescence intensity after excitation at 454 and 415 nm, α = FI(454 nm)/2.5·FI(415 nm). Fluorescence could be described as a decay of a single excited state with a fluorescence life time of 5.40 ± 0.05 ns at 25 °C, and excited state acid–base equilibration was shown not to interfere with the pH measurement. Using the method, pH of a 0.25 M phosphate buffer with pH = 6.8 at 25 °C was shown to decrease gradually to pH = 4.2 in the ice slurry at −13 °C.     

Sampling bias in estimating Design II variance components with S1 families

Summary The use of several S₁ individuals to represent an S₀ individual permits the use of a Design II mating scheme for plants with only one pistillate flower per plant. Estimates of additive (V _A ) and dominance (V _D ) variance from this mating scheme will be biased upwards, when a small number (10) of individuals of each S₁ line are used. This bias can be computed, and the additive and dominance estimates can be corrected. Of particular interest is the observation that the additive genetic variance contributes to bias in estimates of V _D . When S₀ plants are non inbred and their selfedprogeny (S₁ lines) are used to represent them in developing families for use in the Design II, where m₁ is the number of individuals used to represent an S₁ line in developing half sib-families and m₂ is the number of individuals used to represent the S₁ line in making up full sib-families. For example, in a 3×3 Design II, with about 10 individuals used to represent each S₁ line in each cross, m₂ = 10 and m₁ = 30. When m₁ = m₂ = 1, and Joint contribution from Department of Agronomy, University of Nebraska 68583, and the S. S. Cameron Laboratory, Werribee, Victoria 3030, Australia. Published as paper No. 7395, Journal Series     

(H)NCAHA and (H)CANNH experiments for the determination of vicinal coupling constants related to the ϕ-torsion angle

Summary A set of three-dimensional triple-resonance experiments is described which provide , , and coupling constants. The pulse sequences generate E.COSY-like multiplet patterns and comprise a magnetization transfer from the amide proton to the α-proton or vice versa via the directly bound heteronuclei. For residues with the ¹H^α spin resonating close to the H₂O signal, a modified HNCA experiment can be employed to measure the vicinal ¹H^N,¹H^α couplings. Ambiguities associated with the conversion of values into ϕ-angle constraints for protein structure determination can be resolved with the knowledge of the heteronuclear ³J-couplings. In favourable cases, stereospecific assignments of glycine α-protons can be obtained by employing the experiments described here in combination with NOE data. The methods are applied to flavodoxin from Desulfovibrio vulgaris.     

A Combined Patch-Clamp and Electrorotation Study of the Voltage- and Frequency-Dependent Membrane Capacitance Caused by Structurally Dissimilar Lipophilic Anions

Interactions of structurally dissimilar anionic compounds with the plasma membrane of HEK293 cells were analyzed by patch clamp and electrorotation. The combined approach provides complementary information on the lipophilicity, preferential affinity of the anions to the inner/outer membrane leaflet, adsorption depth and transmembrane mobility. The anionic species studied here included the well-known lipophilic anions dipicrylamine (DPA⁻), tetraphenylborate (TPB⁻) and [W₂(CO)₁₀(S₂CH)]⁻, the putative lipophilic anion and three new heterocyclic W(CO)₅ derivatives. All tested anions partitioned strongly into the cell membrane, as indicated by the capacitance increase in patch-clamped cells. The capacitance increment exhibited a bell-shaped dependence on membrane voltage. The midpoint potentials of the maximum capacitance increment were negative, indicating the exclusion of lipophilic anions from the outer membrane leaflet. The adsorption depth of the large organic anions DPA⁻, TPB⁻ and increased and that of W(CO)₅ derivatives decreased with increasing concentration of mobile charges. In agreement with the patch-clamp data, electrorotation of cells treated with DPA⁻ and W(CO)₅ derivatives revealed a large dispersion of membrane capacitance in the kilohertz to megahertz range due to the translocation of mobile charges. In contrast, in the presence of TPB⁻ and no mobile charges could be detected by electrorotation, despite their strong membrane adsorption. Our data suggest that the presence of oxygen atoms in the outer molecular shell is an important factor for the fast translocation ability of lipophilic anions.     

Sources of variability in spotted owl population growth rate: testing predictions using long-term mark–recapture data

For long-lived iteroparous vertebrates that annually produce few young, life history theory predicts that reproductive output (R) and juvenile survival should influence temporal variation in population growth rate (λ) more than adult survival does. We examined this general prediction using 15 years of mark–recapture data from a population of California spotted owls (Strix occidentalis occidentalis). We found that survival of individuals ≥1 year old (ϕ) exhibited much less temporal variability , where CV is coefficient of variation, than R and that R was strongly influenced by environmental stochasticity. Although λ was most sensitive ( ; log-transformed sensitivity) to ϕ and much less sensitive to either R or juvenile survival (survival rate of owls from fledging to 1 year old; ), we estimated that R contributed as much as ϕ to the observed annual variability in λ. The contribution of juvenile survival to variability in λ was proportional to its These results are consistent with the hypothesis that natural selection may have favored the evolution of longevity in spotted owls as a strategy to increase the probability of experiencing favorable years for reproduction. Our finding that annual weather patterns that most affected R (temperature and precipitation during incubation) and ϕ (conditions during winter related to the Southern Oscillation Index) were equally good at explaining temporal variability in λ supports the conclusion that R and ϕ were equally responsible for variability in λ. Although currently accepted conservation measures for spotted owl populations attempt to enhance survival, our results indicated that conservation measures that target R may be as successful, as long as actions do not reduce ϕ.     

Explicit solutions of Fisher's equation for a special wave speed

The travelling waves for Fisher's equation are shown to be of a simple nature for the special wave speeds . In this case the equation is shown to be of Painlevé type, i.e. solutions admit only poles as movable singularities. The general solution for this wave speed is found and a method is presented that can be applied to the solution of other nonlinear equations of biological and physical interest.     

The stable carbon and nitrogen isotopic composition of vegetation in tropical forests of the Amazon Basin, Brazil

Here we present the within-site, seasonal, and interannual variations of the carbon (δ¹³C) and nitrogen (δ¹⁵N) isotope ratios of leaves, wood, bark and litter from four sites in the Amazon region, Brazil. Samples were collected in Manaus (3° 06′07′′ S; 60°01′30′′ W), Ji-Paraná (10°53′07′′ S; 61°57′06′′ W), and Santarém (2°26′35′′ S; 54°42′30′′ W) with mean annual precipitation of 2207, 2040 and 1909 mm respectively. The overall average for all leaf samples was for δ¹³C and for δ¹⁵N (n=756). The leaf δ values at these sites were often but not always statistically distinct from each other. The δ¹³C values varied from to . Pronounced differences in δ¹³C values occurred with height associated with differences in forest structure. The δ¹³C of leaf dry matter showed seasonal variations associated with the length of the dry season, despite the fact that total annual precipitation was similar among the studied sites. Leaf δ¹⁵N values ranged from to a maximum value of , and the Santarém sites showed more enriched values than Manaus and Ji-Paraná sites. No seasonal variation was detected in the δ¹⁵N of leaves, but significant differences were observed among sites and with changes in canopy height. The isotope ratio data are consistent with our current understanding of the roles of light, water availability, and recycling of soil-respired CO₂ influences on δ¹³C and consistent with our understanding that an open nitrogen cycle can lead to high δ¹⁵N values despite a significant number of legumes in the vegetation.     

Modification of the data-processing method for the turbidimetric bioassay of nisin

The data processing method of the turbidimetric bioassay of nisin was modified to facilitate its industrial application. The influence of the initial indicator concentration was minimized by a redefined specific dose of the bacteriocin as the quotient between the titer of the added bacteriocin and the initial population density of the indicator in the suspension. It was found that d _c = 0.125 μg ml⁻¹ was the critical dose of nisin that can cause a complete inhibition of the indicator, Pediococcus acidilactici UL5, with an initial OD of 0.135. To eliminate the interference of the cell debris, an equation, , exploiting d _c, was formulated to obtain the intrinsic survival proportion. The use of the specific dose of the bacteriocin and the intrinsic survival proportion as parameters of the dose/response curve greatly enhanced its repeatability and feasibility. A dual-dosage approach was developed to further simplify the conventional standard dose/response curve method.     

A study of the effects of water carbonate alkalinity on some parameters of blood acid-base status in rainbow trout (Salmo gairdneri R.)

Summary The effects of two levels of water carbonate alkalinity (CA=0.3–0.5 meq·l⁻¹ and CA=12–13.5 meq·l⁻¹) on arterial blood acid-base status ( , pHa, [HCO ₃ ⁻ ]+[CO ₃ ⁻⁻ ]), oxygen consumption ( ) and plasma ionic composition (Na⁺, K⁺, Cl⁻) were investigated in trout living in normoxic-normocapnic water at 15°C. The results show that a high level of carbonate alkalinity induced a decrease in and a situation of mixed respiratory and metabolic acidosis compared to that in low CA water. These changes are accompanied by significant changes in ionic composition but the levels of oxygen consumption are unchanged. The role of the different capacitance coefficients of water for CO₂ and the effects of the different ionic composition of water on ionic and gascous exchanges are discussed. Equipe de Recherche associée au CNRS N° 070622     

Complexation of oxoanions and cationic metals by the biscatecholate siderophore azotochelin

Azotochelin is a biscatecholate siderophore produced by the nitrogen-fixing soil bacterium Azotobacter vinelandii. The complexation properties of azotochelin with a series of oxoanions [Mo(VI), W(VI) and V(V)] and divalent cations [Cu(II), Zn(II), Co(II) and Mn(II)] were investigated by potentiometry, UV–vis and X-ray spectroscopy. Azotochelin forms a strong 1:1 complex with molybdate (log K = 7.6 ± 0.4) and with tungstate and vanadate; the stability of the complexes increases in the order Mo < V < W (log K _app^Mo = 7.3 ± 0.4; log K _app^V = 8.8 ± 0.4 and log K _app^W = 9.0 ± 0.4 at pH 6.6). The Mo atom in the 1:1 Mo–azotochelin complex is bound to two oxo groups in a cis position and to the two catecholate groups of azotochelin, resulting in a slightly distorted octahedral configuration. Below pH 5, azotochelin appears to form polynuclear complexes with Mo in addition to the 1:1 complex. Azotochelin also forms strong complexes with divalent metals. Of the metals studied, Cu(II) binds most strongly to azotochelin , followed by Zn(II) , Mn(II) and Co(II) . Since very few organic ligands are known to bind strongly to oxoanions (and particularly molybdate) at circumneutral pH, the unusual properties of azotochelin may be used for the separation and concentration of oxoanions in the laboratory and in the field. In addition, azotochelin may prove useful for the investigation of the biogeochemistry of Mo, W and V in aquatic and terrestrial systems. Electronic supplementary material Supplementary material is available in the online version of this article at and is accessible for authorized users.     

Results of the oxygen Fick method in a closed blood circulation model including “total arteriovenous diffusive shunt of oxygen”

It is considered that arteriovenous diffusive shunts of oxygen may cause inaccuracy of the oxygen Fick method as where is the pulmonary oxygen uptake, is the cardiac output, and CaO₂ and CvO₂ are the arterial and venous oxygen contents, respectively. A simple circulation model, including the whole circulation with nine well-mixed compartments (C1, ... C9), is constructed: the is assigned as constant as 6000 ml min⁻¹; the blood portions of 60 ml move at an interval of 600 ms. C1 and C2 compartments, each having 60 ml volume, represent the blood of pulmonary microcirculation, C3 represents the arterial blood with a volume of 1500 ml, C4, ..., C8, each also having a volume of 60 ml, represent the blood of peripheral microcirculation, whereas C9 represents the venous blood with a volume of 3000 ml. The pulmonary oxygen uptake , related to C1 and C2, the oxygen release , related to C4,...,C8, as well as a “total arteriovenous diffusive shunt of oxygen” , from the arterial blood (C3) to the venous blood (C9), are calculated simultaneously. The alveolar gas has a constant oxygen partial pressure, and the pulmonary diffusion capacity is also constant; similar to modeling the pulmonry, oxygen diffusion, constant partial oxygen pressures for all peripheral tissues as well as constant diffusion capacities for all peripheral oxygen diffusion are also assigned. The diffusion capacities for the (between C3 and C9) are arbitrarily assigned. The Fick method gives incorrect results depending on the total arteriovenous diffusive shunt of oxygen . But the mechanism determining the magnitude of remains unclear.     

Relative strengths of benthic algal nutrient and grazer limitation along a lake productivity gradient

The relative effects of nutrients and herbivores on primary producers are rarely compared across ecosystems that vary in potential primary productivity. Furthermore, proposed mechanisms to explain such patterns remain understudied. Here, I examine the strength of nutrient and grazer (herbivore) limitation (i.e., the extent to which producers’ growth is limited by insufficient nutrient supply or herbivory) of benthic algae across 13 southwest Michigan lakes that vary widely in productivity (i.e., resource supply). I compare the observed patterns of algal limitation and species composition to those predicted by two simple models: one that includes multiple species and species’ traits (the food-web model) and one that includes no variation in species or traits (the food-chain model). Species in the food-web model are assumed to display a tradeoff between resource competitive ability and resistance to herbivory (the “keystone predator” tradeoff). Among these lakes, benthic algal nutrient limitation was positive and declined significantly along a lake N:P gradient. In contrast, grazer limitation was negative and was not significantly related to any of the measured lake productivity variables. Negative grazer limitation indicated that the removal of grazers caused unexpected declines in algal biomass, which were potentially due to indirect, positive effects (e.g., nutrient recycling) of grazers. Nutrient limitation was significantly stronger than grazer limitation across lakes, which was more consistent with the food-web versus food-chain model. Changes in algal composition were also broadly consistent with predictions of the food-web model in that vulnerable, superior nutrient competitors dominated in low productivity lakes and more grazer-resistant species were observed in high productivity lakes. In general, these results point to the importance of examining limiting factors across systems and the consideration of key species’ traits when predicting and interpreting patterns.     

The regulation of K+ influx in excised barley roots

The electrochemical potential differences for potassium, between excised barley (Hordeum vulgare L.) roots and external media containing 0.05 mM KCl+0.5 mM CaSO₄, were determined over a 4-h period during which initially low-K⁺ roots accumulated K⁺ by pretreatment in 50 mM KCl plus 0.5 mM CaCl₂. This pretreatment resulted in increased internal [K⁺], decreased K⁺ influx (as measured from 0.05 mM KCl+0.5 mM CaSO₄) and decreased values of . These observations indicate that the decline of K⁺ influx associated with increased internal K⁺ concentration cannot be accounted for by passive adjustment to the electrochemical gradient for this ion.     

Transport of H+, K+, Na+ and Ca++ in Streptococcus

Summary The streptococci differ from other bacteria in that cation translocations (with the possible exception of one of the K⁺ uptake systems) occur by primary transport systems, i.e., by cation pumps which use directly the free energy released during hydrolysis of chemical bonds to power transport. Transport systems in other bacteria, especially for Na⁺ and Ca⁺⁺, are often secondary, using the free energy of another ion gradient to drive cation transport. In streptococci H⁺ efflux occurs via the F₁F₀-ATPase. This enzyme is composed of eight distinct subunits. Three of the subunits are embedded in the membrane and form a H⁺ channel; this is called the F₀ portion of the enzyme. The other five subunits form the catalytic part of the enzyme, called F₁, which faces the cytoplasm and can easily be stripped from the membrane. Physiologically, this enzyme functions as a H⁺-ATPase, pumping protons out of the cell to form an electrochemical proton gradient, . The F₁F₀-ATPase, however, is fully reversible and if supplied with P_i, ADP and a + of sufficient magnitude (ca –200 mv) catalyzes the synthesis of ATP. Streptococcus faecalis can accumulate K⁺ and establish a gradient of 50 000:1 (in>out) under some conditions. Uptake occurs by two transport systems. The dominant, constitutive system requires both an electrochemical proton gradient and ATP to operate. The minor, inducible K⁺ transport system, which has many similarities to the K⁺-ATPase of the Kdp transport system found in Escherichia coli, requires only ATP to power K⁺ uptake.Sodium extrusion occurs by a Na⁺/H⁺-ATPase. Exchange is electroneutral and there is no requirement for a . The possibility that the Na⁺/H⁺-ATPase may consist of two parts, a catalytic subunit and a Na⁺/H⁺ antiport subunit, is suggested by the finding that damage to the Na⁺ transport system either through mutation or protease action leads to the appearance of -requiring Na⁺/H⁺ antiporter activity.Ca⁺⁺ like Na⁺ is extruded from metabolizing, intact cells. Transport requires no but does require ATP. Reconstitution of Ca⁺⁺ transport activity with accompanying Ca⁺⁺-stimulated ATPase activity into proteoliposomes suggests that Ca⁺⁺ is transported by a Ca⁺⁺-translocating ATPase.Where respiring organelles and bacteria use secondary transport systems the streptococci have developed cation pumps. The streptococci, which are predominantly glycolyzing bacteria, generate a much inferior to that of respiring organisms and organelles. The cation pumps may have developed simply in response to an inadequate .Abbreviations electrochemical potential of protons - membrane potential - pH pH gradient - p proton-motive force - DCCD N,Na¹-dicyclohexlcarbodiimide - TCS tetrachlorosalicylanilide - FCCP carbonylcyanide-p-trifluoromethylphenylhydrazone - CCCP carbonylcyanie-m-chlorophenylhydrazone - TPMP⁺ triphenylmethyl phosphonium ion - DDA⁺ dibenzyldimethylammonium ion - Hepes 4-(2-hydroxyethyl)-1-piperazineethanesulfonic acid - EGTA ethyleneglycol-bis (amino-ethyl-ether)-N,N-tetraacetic acid     

EPR evidence for generation of hydroxyl radical triggered byN-acetylchitooligosaccharide elicitor and a protein phosphatase inhibitor in suspension-cultured rice cells

Summary N-acetylchitooligosaccharides, fragments of the backbone of fungal cell wall, trigger rapid membrane responses such as transient depolarization, and elicit defense reactions including phytoalexin production in suspension-cultured rice cells. The generation of reactive oxygen species triggered by the oligosaccharide signal was analyzed with EPR spectroscopy using a spin trapping system, 4-pyridyl 1-oxideN-tert-butyl nitrone (4-POBN) and ethanol. OH generation was detected as the -hydroxyethyl adduct of 4-POBN after elicitation. Superoxide dismutase, catalase or diethylenetriamine pentaacetic acid, a metal chelator, inhibited generation, proposing the following reaction sequence: generation of in response to the oligosaccharide elicitor, followed by dismutation to H₂O₂, then generation of by the reaction of H₂O₂ with Fe²⁺ that is generated by the reduction of Fe³⁺ by . Generation of the same reactive oxygen species was also triggered by calyculin A, a protein phosphatase inhibitor, alone, suggesting the involvement of protein phosphorylation in its regulation during the oligosaccharide signal transduction.Abbreviations DMPO 5,5-dimethyl-1-pyrroline N-oxide - DTPA diethylenetriamine pentaacetic acid - 4-POBN 4-pyridyl 1-oxideN-tert-butylnitrone - SOD Superoxide dismutase - 4-hydroxy-TEMPO 2,2,6,6-tetramethyl-4-hydroxypiperidine-1-oxyl     

Survival Chances of Mutants Starting With One Individual

A simple theoretical model of a Darwinian system (a periodic system with a multiplication phase and a selection phase) of entities (initial form of polymer strand, primary mutant and satellite mutants) is given. First case: one mutant is considered. One individual of the mutant appears in the multiplication phase of the first generation. The probabilities to find N individuals of the mutant after the multiplication phase M of the n-th generation (with probability δ of an error in the replication, where all possible errors are fatal errors) and after the following selection phase S (with probability β that one individual survives) are given iteratively. The evolutionary tree is evaluated. Averages from the distributions and the probability of extinction are obtained. Second case: two mutants are considered (primary mutant and new form). One individual of the primary mutant appears in the multiplication phase of the first generation. The probabilities to find N _p individuals of the primary mutant and N _m individuals of the new form after the multiplication phase M of the n-th generation (probability ɛ of an error in the replication of the primary mutant giving the new form) and after the following selection phase S (probabilities β _p and β _m that one individual each of the primary mutant and of the new form survives) are given iteratively. Again the evolutionary tree is evaluated. Averages from the distributions are obtained. The online version of the original article can be found at .