Some conditions for sustained oscillations in biochemical chains with feedback inhibition

A chain ofn reactions is considered in which the last substance inhibits the production of the first with degreep, p being the order of the inhibition. Maintained oscillations are possible for certain values of the parameters under the following conditions: (1) If there is no time delay, then there must be at least three compartments (n=3) and either the degree of inhibition is sufficiently large (p>8 forn=3) or there must be enzymatic removal from the first compartment, in which casep≥1. (2) If there are time delays, but there is no enzymatic removal, the degree of the inhibition must be greater than or equal to 2 for any value ofn. (3) If there is a time delay in addition to enzymatic removal, one compartment with simple first order inhibition is sufficient. Conditions on the parameters necessary for maintained oscillations are given for many of the cases discussed.     

Pathogenic stability of Alternaria longipes (Ell. & Ev.) Mason subjected to different methods of isolation,storage and inoculum production

Summary The pathogenic stability ofA. longipes was greatest when the composition of the medium promoted maximum sporulation and minimal mycelial proliferation.A Whatman No. 17 filter paper disc saturated with an 0.1 % dextrose infusion medium from carrots and potatoes minimised mycelial proliferation, and promoted rapid and extensive spore production in two to four days at 25° C. Approximately 75% of the cultural period on 2% PDA was devoted to mycelial proliferation. The difference in extent of mycelial growth in the filter paper and standard methods was apparently instrumental in eliminating a decline in pathogenicity when using the former method. Weekly mycelial subculturing on 2% PDA caused rapid drop in pathogenicity and a total loss of pathogenicity and sporulative ability between the 62nd and 76th day.The use of a modified filter paper method for large scale inoculum production for greenhouse and field variety trials is discussed.     

Genetic diversity analysis by RAPD in Cathaya argyrophylla Chun et Kuang

Genetic diversity level ofCathaya argyrophylla was confirmed by random amplified polymorphic DNA (RAPD) markers. Seventy five samples (individuals), collected from Hunan and Sichuan provinces of China were used in the study. 21 10-mer oligonucleotide primers detected 106 sites, and 34 (32%) of them were polymorphic. The level of genetic variation in C.argyrophylla was lower than those of other conifers, and was considered to be associated with the complexity of habitats. The percentages of polymorphic sites (PPS) in the Hunan and Sichuan populations were 18% and 25% respectively. 7.99% of genetic variation existed between the two populations; this value was higher than the mean value (6.8%) among populations in conifers displayed by allozyme. Some subpopulations ofC. argyrophylla were greatly differentiated because of site mutation and genetic drift. The highest value of genetic difference between subpopulations amounted to 16. 23%. In addition, a concept of diversity coefficient (DC), a value used to measure the genetic diversity level, and its calculation were proposed. The low genetic diversity level ofC. argyrophylla was thought to be one of the factors causing its endangered status. Project supported by the National Natural Science Foundation of China.     

Determination of equilibrium constants and maximum binding capacities in complexIn vitro systems: I. The mammillary system

It is shown that in a system containingn types of mutually noninteracting binding sites, the association constants are then roots of annth order polynomial while the maximum binding capacities can be evaluated by solving a set ofn simultaneous linear equations. Thenth order polynomial and the system ofn linear equations are defined in terms of 2n intermediate coefficients, the coefficients being themselves evaluated by substituting 2n sets of appropriate experimental data into an auxiliary system of 2n linear equations. The existence and uniqueness of the solutions are established.     

KINETIC ANALYSIS OF INTERACTIVE EFFECTS OF CADMIUM AND NITRATE ON GROWTH OF THALASSIOSIRA FLUVIATIUS (BACILLARIOPHYCEAE)1,2

The effect of cadmium on growth rates of Thalassiosira fluviatilis Hustedt and Isochrysis galbana Parke at non-limiting nutrient concentrations is described by the lerusalimskii equation. At limiting nitrate concentrations, the effect of Cd on growth rate of T fluviatilis is described by analogy to the general equation of enzyme inhibition in which the reaction involves a single intermediate. When cells are stressed by Cd, not only is the maximum growth rate reduced, but the half-saturation growth parameter is increased. The value of log (k₁/k₂) can be used to describe the type and degree of interaction between a nutrient and an inhibitor, k, and k₂ate the inhibitor concentrations resulting in 50% growth inhibition as nutrient concentration approaches zero and an infinitely large value respectively. Results show that for T fluviatilis, the degree of inhibition by Cd is more severe at low than at high NO₃-levels but the difference in seventy diminishes at Cd concentration increases.     

On the distribution of the general irreversiblen-compartmental model having time-dependent transition probabilities

The cumulant generating function and first two moments are derived for the stochastic distribution of units in a general irreversiblen-compartment model with time-dependent transition probabilities. In this model, a unit in the first compartment can transfer to any one of the remainingn−1 compartments and a unit in the second compartment can transfer to any of the remainingn−2 compartments and so on. In addition, a unit can enter or leave the system through any compartment. The work is related to previous research and a numerical example is given.     

Bicarbonate kinetics in Indian males

Measurement of rates ofin vivo substrate oxidation such as that of glucose, fatty acids and amino acids, are based on tracer (¹⁴C or¹³C) data, and often depend on the isotopic content of expired CO₂. The recovery of tracer-labelled CO₂ generated from the oxidation of¹³C labelled substrates may not be 100% over short term. This can lead to underestimation of oxidation rate of substrates, and consequently a correction for the incomplete recovery of tracer has to be applied by the determination of the recovery of¹³CO₂ in the breath during tracer bicarbonate infusions. We have studied the recovery of tracer-labelled bicarbonate using a bolus administration model, and further characterized kinetics of bicarbonate using a three-compartment model, to assess which compartmental fluxes changed during the change from a fasted state to fed state. Recovery of bicarbonate was lower at 69% and 67% (fasted and fed state) than the value of 71% and 74% found during earlier longer term of continuous infusions. During feeding, there was a 20-fold increase in the flux of bicarbonate between the central compartment and the compartment that was equivalent to the viscera. This study shows that the difference between the fasted and fed state recovery of tracer bicarbonate similar to that obtained with continuous infusions, and that bicarbonate fluxes show large changes between different compartments in the body depending on metabolic state.     

Analytical conditions for the conservative form of the ecological equations

The analytical conditions by which a Volterra's general system describingn interacting species can be put in the “conservative” form have been examined. The cases forn=2, 3, 4 have been analyzed in detail and a general condition for any value ofn is deduced. The analytical and biological constraints following by this approach are compared to the conclusions drawn by Leigh on the ground of purely biological considerations.     

Campylobacter,salmonella and chlamydia in free-living birds of Croatia

Campylobacteriosis, salmonellosis and avian chlamydiosis are zoonotic diseases in which birds have been suggested to play an important role as reservoirs. We have investigated the prevalence of Campylobacter and Salmonella spp. and Chlamydophila sp. in 107 free-living birds belonging to 25 species from 13 families from Croatia in order to examine the natural infections caused by these agents. Campylobacter jejuni-like organisms were isolated from 2 of 107 free-living bird species examined (1.9%). Salmonella was isolated from 8 fresh fecal specimens from free-living bird species (7.4%). These isolates were identified as S. typhimurium in 4 (3.7%), and S. enteriditis in 4 (3.7%) free-living birds. These samples originated from feral pigeons (Columba livia domesticus; n=14; 28.6%), rook (Corvus frugilegus; n=13; 15.4%), buzzard (Buteo buteo; n=12; 16.7%), black-headed gull (Larus ridibundus; n=8; 12.5%) and tawny owl (Strix aluco; n=8; 12.5%). The presence of Chlamydophila sp. was not detected in the free-living birds examined during this study. Epidemiological aspects and possible significance of the examined birds as a source of infections for domestic animals and humans are discussed.     

Surface area of woody organs of an evergreen broadleaf forest tree in Japan and Southeast Asia

Architecture of evergreen broadleaf trees in evergreen warm-temperate and tropical forests was analyzed with a ratio (U/Ac) of total surface area of aboveground woody organs to leaf area (one-sided surface area) of each felled tree. The ratio,U/Ac, tended to decrease with the increasing ofdbh. There was little difference in a range of the ratio at eachdbh class between a warmtemperate forest and a tropical rainforest. The ratios of larger trees correlated with their relative growth rates ofdbh among similar sized trees. Canopy trees tended to stop their growth at some value of a ratio, a threshold value being about 1.5, irrespective of forest types. The threshold value showed the critical condition that annual respiration of woody organs of a tree consumed nearly all surplus production. On the basis of the pipe model, an ideal maximum tree height was considered with the ratio, and was estimated at 110 m and 70 m in a tropical rainforest and a warm-temperate forest, respectively.     

Biosystematic studies on the genusIsoetes in Japan I. Variations of the somatic chromosome numbers

The somatic chromosome number of three Japanese species ofIsoetes, I. asiatica, I. japonica andI. sinensis, was determined in 199 individuals from 49 populations. The chromosome number ofI. asiatica was 2n=22, confirming previous reports. However,I. japonica andI. sinensis displayed a diversity in chromosome number. Six cytotypes, 2n=66, 67, 77, 87, 88 and 89, were found inI. japonica; 2n=67, 87, 88 and 89 are new counts in the genusIsoetes. The plants with 2n=66 were the most frequent (72% of total individuals examined) and were distributed throughout Honshu and Shikoku. The plants with 2n=88 occurred in western Honshu and a limited region in northeastern Honshu where the plants with 2n=77 were also found. In contrast, four cytotypes, 2n=44, 65, 66 and 68, were found inI. sinensis. The chromosome numbers ofI. sinensis were reported here for the first time. The plants with 2n=44 occurred only in Kyushu, while the plants with 2n=66 were found throughout a large area of western Japan.     

Effects of carbon dioxide on the spatially separate electrogenic ion pumps and the growth rate in the hypocotyl ofVigna sesquipedalis

Carbon dioxide, introduced into the gas phase of the experimental chamber, has distinct effects on two spatially separate membrane potentials and the rate of elongation growth in hypocotyl segments ofVigna sesquipedalis Wight. Both membrane potentials (V _ps andV _px=the electric potential difference between the parenchyma symplast and the surface of the hypocotyl, and that between the parenchyma symplast and the xylem, respectively) hyperpolarized rapidly but transiently at the introduction of CO₂. Prolonged exposure of the hypocotyl to high concentrations of CO₂ (above 10%) caused depolarization of membrane potentials above the level before CO₂ introduction. When CO₂ was replaced with air, the membrane potentials exhibited a distinct depolarization response of transient nature. The growth rate of the hypocotyl segments exhibited similar responses to CO₂ as did the membrane potentials (the increase and the decrease of the growth rate were corresponded to the hyperpolarization and the depolarization, respectively), but these responses always followed the changes of the membrane potentials. The CO₂-induced maximum hyperpolarization ofV _ps and the maximum increase of the growth rate were closely correlated. All these responses were strictly dependent on aerobic metabolism. These results indicate that CO₂ may regulate elongation growth in two ways: by affecting the activity of the electrogenic ion pump via intracellular acidification, and also by acting via apoplastic acidification as a wall-loosening acid.Symbols and abbreviations V _sx electric potential difference between the surface (S) and the xylem (X) of the hypocotyl - V _px electric potential difference between the inside of a parenchyma cell (P) andX - V _ps electric potential difference betweenP andS - V _ps (CO₂, max) the maximum value of CO₂-induced hyperpolarization ofV _ps - GR(CO₂, max) the maximum value of CO₂-induced increase of the growth rate - IAA indole-3-acetic acid     

Note on a combinatorial problem

In the first part of this paper we have assembled some properties of the quantitiesR _m ⁿ , whereR _m ⁿ denotes the number of distributions ofn different objects intom indifferent parcels, with no empty parcels allowed. We then discuss the following problem (N. Rashevsky, 1954, 1955 a,b, 1956): to find the total number,G _n , of graphs that can be obtained from the biotopological transformation (T ⁽¹⁾ X) for a given value of the parametern. This is related to the distribution ofn indifferent objects intom different boxes. A formula forG _n is given which, however, is not very convenient for practical computations because it involves a summation over certain “admissible partitions” of the numbermn (m is a second parameter of the transformation). Some theorems are derived; with their help we can simplify the calculation ofG _n to a small extent. The numbersG _n are calculated forn≤9 and estimated forn=10. It is found thatG ₇≈5.4×10⁴,G ₈≈8.3×10⁵,G ₉≈1.4×10⁷, andG ₁₀≈3×10⁸. These values ofn are those which might be used in connection with N. Rashevsky’s work (cf. Rashevsky, 1956).     

Age-related prevalence of antibodies to infective larvae ofWuchereria bancrofti in normal individuals from a filaria-endemic region

Antibody isotypic levels (IgM, IgE and IgG subclasses) to infective larvae (L₃) ofWuchereria bancrofti were measured in 104 normal individuals from a filaria-endemic region in Orissa. The titres of antibodies were considerably higher in adults (n = 25, 25.1± 3.8 year) than in children (n = 52, 7.1 ± 2.1 year). Young children (n = 14) less than four years were seronegative to all isotypes other than IgM, the sero-conversion to which was achieved in the children (n=15) by the age of 7.5±1.2 years. The prevalence of other isotypes increased with age and reached a maximum in early adulthood (18.6 ±1.6 years), which persisted in older adults (> 30 years). However, the increase in IgG₃ prevalence with age was less marked. IgG₂ was detected only after 10 years of age. Compared to the high prevalence (100%) of IgM, IgE, IgG₁, and IgG₂, in adults. IgG₃ and IgG₄ prevalences were low, 35% and 28% respectively. IgA level to L₃ antigen was found to be extremely low even in adults. These data indicate that the prevalence of L₃ antibodies was different for different isotypes and the acquisition of antibody response essentially followed an age dependent pattern.     

Grooming behaviour ofApis cerana,Apis mellifera andApis dorsata and its effect on the parasitic mitesVarroa jacobsoni andTropilaelaps clareae

OneApis mellifera and oneApis cerana observation hive were used to test the response to individually introducedVarroa jacobsoni mites. Within 60s, 88.6% of the involved cerana worker bees (n=44) showed auto-grooming behaviour. Within 5 min, allo-grooming behaviour, involving up to four nestmates, was observed in 33.3% of the infested bees. Successful mite removal was observed in 75% of the not-prematurely discontinued observations (n=36); 32% of the mites removed were caught with the mandibles.For mellifera auto-grooming behaviour was observed in most cases but delayed in comparison to cerana, and allo-grooming behaviour was rarely observed. Within 5 min, 48% of the mites in notprematurely discontinued observations (n=25) were removed, but none of the mites was caught with the mandibles.ForApis dorsata auto-grooming behaviour in response to the infestation withTropilaelaps clareae andVarroa mites is reported for the first time.Varroa was removed at a higher rate thanTropilaelaps. The higher survival chance ofTropilaelaps seems to be due to differences in mite behaviour and the preference for certain parts of the bee-body.     

Protein polymorphism and genetic divergence in slow loris (genusNycticebus)

In this study, protein electrophoresis was assayed to detect genetic variation in GenusNycticebus. A total of 29 samples (2N. coucang and 27N. pygmaeus) were analyzed for 42 genetic loci. In the 27 samples ofN. pygmaeus, 4 loci were observed to be polymerphic. Therefore, the estimatedP value (proportion of polymorphic loci) is 0.095, theA value (average number of alleles each locus) is 1.045, and theH value (mean individual heterozygosity) is 0.040. After comparing theH ofN. pygmaeus with those of other primates reported, we found that the protein variation inN. pygmaeus is slightly lower than the average level. Additionally, we also observed obivious allele difference betweenN. pygmaeus andN. coucang. There are no shared alleles between these two species in eight loci. TheNei's genetic distance between them was calculated as 0.2541, which falls in the spectrum of genetic difference between species in primates.     

A partial digest approach to restriction site mapping

We present a new, practical algorithm to resolve the experimental data in restriction site analysis, which is a common technique for mapping DNA. Specifically, we assert that multiple digestions with a single restriction enzyme can provide sufficient information to identify the positions of the restriction sites with high probability. The motivation for the new approach comes from combinatorial results on the number of mutually homeometric sets in one dimension, where two sets ofn points are homeometric if the multiset ofn(n−1)/2 distances they determine are the same. Since experimental data contain errors, we propose algorithms for reconstructing sets from noisy interpoint distances, including the possibility of missing fragments. We analyse the performance of these algorithms under a reasonable probability distribution, establishing a relative error limit ofr=Θ(1/n ²) beyond which our technique becomes infeasible. Through simulations, we establish that our technique is robust enough to reconstruct data with relative errors of up to 7.0% in the measured fragment lengths for typical problems, which appears sufficient for certain biological applications.     

Hybridization of chromosome-polymorphic populations of the inquiline ant,Doronomyrmex kutteri (Hym., Formicidae)

Summary The workerless, inquiline ant,Doronomyrmex kutteri has isolated populations with a haploid chromosome number ofn=23 both in the Alps (Swiss and South Tyrolean Alps) and in Sweden, and a population withn=25 in southern Germany. Crossbreeding of sexuals from all populations proved successful. Backcrosses of F1-females with males from the parental populations produced F2-females, and hybrid males withn=23, 24, or 25 chromosomes. The chromosome polymorphism is not due to B-chromosomes. Probably then=25 karyotype originated from then=23 karyotype by two Robertsonian fissions (2 ¯M 4 ¯A), since then=25 karyotype was found in only one of the populations. Diploid males occurred frequently in colonies from four out of five sites investigated.     

REPRODUCTIVE PHENOLOGY OF LAMINARIA SACCHARINA (L.) LAMOUR. (PHAEOPHYTA) AT THE SOUTHERN LIMIT OF ITS DISTRIBUTION IN THE NOTHWESTERN ATLANTIC OCEAN1,2

Laminaria saccharina (L) Lamour. Sporophytes were monitored monthly from October 1982 to September 1983 to investigate reproduction phenology and relationshiops to growth paatterns aaat its southern limit of distribution in the northwest Atlantic Ocean (Long Island Soundd). Plants exhibited an annual growth pattern. Growth raate, bladelehgth, maximum width, area, stiipe lehgth an wet weight swhoed the same seasonal pattern and reached maximum values between May and June. Only blade thickness continued to increase tthrooughout the ovservation period. Blade dissintegration occurred dduring August and September. Reproductive sporophytes occurred throughout the observation period; the greatest frequency of appearance occurred in October (43.8%) and June (37.8%). The blade area covered by sori ranged from 2.4% (Janaury) to 6.1% (August). Meiospore release under laboratory conditions was maximum in May and minimum in July. No meio-spores were released in August Sporulation was not correlated with meristematic growth of nitrogen content How ever, reproductive plants were generally larger and thicker throughout the sporulation period, and had a greater carbort content is spring than nonreproductive plants. Fecundity and reproductive success of female gametophytes were maximum in spring and minimum in winter. The growth of early sporophyte stages in the laboratory was greatest in early spring; however, juvenile macroscopic stages were hardly observed in the field during summer months due to warm water temperatures. “Over-summering” of gamelophytes and / or microscopic sporophytes may account for the annual cycle of Laminaria at its southern limit of distribution.     

Variability of n‐Alkanes and Nonacosan‐10‐ol in Natural Populations of Picea omorika

This is the first report of population variability of the contents of n‐alkanes and nonacosan‐10‐ol in the needle epicuticular waxes of Serbian spruce (Picea omorika). The hexane extracts of needle samples originated from three natural populations in Serbia (Vranjak, Zmajeva?ki potok, and Mile?evka Canyon) were investigated by GC and GC/MS analyses. The amount of nonacosan‐10‐ol varied individually from 50.05 to 74.42% (65.74% in average), but the differences between the three investigated populations were not statistically confirmed. The results exhibited variability of the composition of n‐alkanes in the epicuticular waxes with their size ranging from C₁₈ to C₃₅. The most abundant n‐alkanes were C₂₉, C₃₁, and C₂₇ (35.22, 13.77, and 12.28% in average, resp.). The carbon preference index of all the n‐alkanes (CPI_total) of the P. omorika populations (average of populations I–III) ranged from 3.3 to 11.5 (mean of 5.9), while the average chain length (ACL) ranged from 26.6 to 29.2. The principal component and cluster analyses of the contents of nine n‐alkanes showed the greatest difference for the population growing in the Mile?evka Canyon. The obtained results were compared with previous literature data given for other Picea species, and this comparison was briefly discussed.