Global asymptotic stability of the size distribution in probabilistic models of the cell cycle

Probabilistic models of the cell cycle maintain that cell generation time is a random variable given by some distribution function, and that the probability of cell division per unit time is a function only of cell age (and not, for instance, of cell size). Given the probability density, f(t), for time spent in the random compartment of the cell cycle, we derive a recursion relation for _n(x), the probability density for cell size at birth in a sample of cells in generation n. For the case of exponential growth of cells, the recursion relation has no steady-state solution. For the case of linear cell growth, we show that there exists a unique, globally asymptotically stable, steady-state birth size distribution, _*(x). For the special case of the transition probability model, we display _*(x) explicitly.This work was supported by the National Science Foundation under grants MCS8301104 (to J.J.T.) and MCS8300559 (to K.B.H.), and by the National Institutes of Health under grant GM27629 (to J.J.T.).     

Biomass and production of Argyrodiaptomus furcatus,a tropical calanoid copepod in Broa Reservoir,southern Brazil

The biomass and the production of Argyrodiaptomus furcatus (Sars), the most abundant copepod in Broa Reservoir (São Carlos, São Paulo State), were estimated, determining in the laboratory the development time and the quantity of organic carbon and establishing the relationship between these two parameters. The daily production was calculated from P = B(1- e^gt) and the annual production was obtained by integrating daily production against time. The maximum production of Argyrodiaptomus furcatus in the reservoir depends on the region considered and on the period of the year. The maximum production was 45.15 mg C m^–3d^–1 in March, 1976 at station II, region of macrophytes and 6.74 mg C m^–3d^–1 at station IV, near the dam. The mean production for the year is 6.26 mg C m^–3d^–1 at station II and 1.43 mg C m^–3d^–1 at station IV.     

Regulatory Mechanisms of Reproductive Effort in Plants II. Plasticity in Reproductive Energy Allocation and Propagule Output of Glycine max Merr. (Leguminosae) Cultivated at Varying Densities and Nitrogen Levels

Abstract Plasticity in growth, reproductive energy allocation (RA), and reproductive output were studied in Glycine max Merr. Cv. Enrei (Leguminosae) grown under varying densities and soil nitrogen levels.
Marked plastic responses were detected in individual biomass, the patterns of resource allocation to total reproductive structures (RA) and also to propagules, reproductive outputs, and propagule weight under changing densities and soil nitrogen levels. Plants cultivated at higher densities exhibited proportionately lower individual biomass, lower RA, lower seed output, and smaller seed size in response to increasing density and decreasing soil nitrogen levels, although some deviations were observed, especially in the highest density plot with no fertilization. Differences due to different N-levels were not as great as those to changing density, which may in part be due to the fact that soybean has nitrogen-fixing bacteria in root tubercles, just as in any other Leguminosae. Fecundity was also maintained at the similar high rates of 80–97% in all plots examined, although slight but steady decreases were noted with increasing density. This resemblance in fecundity may be due to its strong inbreeding system.
Another important finding was that seed production under limited resource availability, notably lack of ample solar radiation due to strong interference at higher density plots, is exceedingly costly. This was most clearly exhibited by a sharp increase in relative energy partitioning to a single propagule in response to the increased density, the relative energy cost to a single propagule (RA) increasing from one to seven-fold. The results obtained in this study coincide well with the findings made in other plants, e.g., Helianthus annuus, Oryza sativa , and Coix ma-yuen , with the same experimental designs.     

High-frequency1H NMR studies of the effects of growth factors and phorbol esters on normal syrian hamster diploid fibroblast cells

The nuclear magnetic resonance (NMR) parameters, spin-lattice (T₁), and spin-spin (T₂) relaxation time, are usually longer for neoplastic cells than for normal cells of the same cell type. This has generally been true at low NMR frequencies (≤100 MHz) when comparisons have been made between normal and neoplastic cells that have both spent a short time in culture. We have previously demonstrated that although the T₁ values of paired normal and neoplastic Syrian hamster (SH) fibroblastic cells in culture are not significantly different when measured at 300 MHz, the 300 MHz T₂ values for the neoplastic cells are smaller than those of the normal cells. (Xin et al. (1986),Cell Biophysics 8, 213.) Since treatment of normal diploid cells with polypeptide growth factors or tumor promoters frequently results in reversible expression of neoplasia-associated phenotypes, T₁ and T₂ were obtained at 300 MHz for treated and untreated SH cells to see if these compounds could also produce smaller 300 MHz T₂ values. Secondary culture SH fetal fibroblast cells were treated with epidermal growth factor (EGF), fibroblast growth factor (FGF), phorbol-12,13-didecanoate (PDD) and 4-α-phorbol-12,13-didecanoate (4αPDD). Treatment with either growth factor resulted in smaller T₂ values, but a statistically significant decrease was not observed for PDD or 4αPDD. The observed reductions in T₂ values were correlated with the morphological and growth-stimulatory effects of these compounds on the cells.     

光对尾穗苋幼苗内苋红素合成的诱导

不同苗龄的尾穗苋黄化苗对10 min,15Wm~(-2)白光的反应能力不同。光诱导的苋红素合成始于播种后第 20h,至50h合成能力最大,82h以后幼苗对短时光照的反应能力趋于消失。苋红素合成的滞后期为3h,光处理后18h色素积累达到高峰。光调节苋红素合成符合红光—远红光可逆诱导反应等两个基本模式,确证光敏色素参与调控苋红素合成.     

杂色曲霉在人胃液中体外培养产生杂色曲霉素的研究

本文用正交实验设计法探讨了杂色曲霉(Aspergillus versicolr)在加有两类不同性质营养物的人胃液中产生杂色曲霉素(Sterigmatocystin,简称ST)的条件。发现在26℃斜面静置培养12天后可产生ST。加入半合成物质的最佳配伍是:蔗糖1,000.0mg;蛋白胨50.0mg;KH_2PO_4 7.5mg;MgSO_4·7H_2O_2.5mg;人胃液10.0ml,称之为SPKM人胃液培养基。加入天然物质的最佳配伍是:玉米粉0.5g;豆腐粉0.25g,人胃液10.0ml,称之为CS人胃液培养基。还进一步研究了pH值和培养时间对杂色曲霉产毒菌株在SPKM和CS人胃液培养基中生长及产生ST的影响。根据临床胃酸缺乏程度分级标准,分为pH 1.0,3.0,6.5,8.0四个组。发现在两种人胃液培养基中,无论是杂色曲霉生长,还是产生ST,pH3.0到6.5是发生质变的范围。在两种人胃液培养基pH为6.5时,37℃静置培养8天有痕量ST产生,10天后就明显增加。所以杂色曲霉产生的ST可能是慢性萎缩性胃炎易癌变的原因之一。