The kinetics of mycelial growth.

Based on the assumption that mycelial growth follows the logistic growth law, formulae have been developed to express the growth of fungal colonies under a variety of geometric constraints. Analysis was done of Deppe's (1973) results on surface colony growth, where the mass of the colony grew exponentially during most colonial growth, and of Trinci's (1970) results on submerged "pellet" growth, where the mass of the colony increased as the cube of time during most colony growth. In both cases, the linear dimensions of the colony were increasing linearly while the mass was changing in these quantitatively different manners. It is concluded that these disparate growth behaviours result from different habits of growth; in two-dimensional colony growth a new region of space if invaded by an amount of mycelium small in proportion to the final "carrying capacity" of the region, and in three-dimensional colony growth a region is invaded with an amount of mycelium almost equal to the region's final limiting mycelial mass. Thus, the types of growth law for colony mass which are applicable for a particular organism in a particular physical environment depend critically on the degree to which the invading hyphae initially occupy the space.     

Delayed maturation in the colonial coralGoniastrea aspera (Scleractinia): whole-colony mortality, colony growth and polyp egg production

The present study examines (1) the cost of reproduction on colony growth, and (2) relationships among sexual maturity, whole-colony mortality rate and colony growth rate inGoniastrea aspera free from external influences by macrobenthos. Survival of colonies in permanent plots was followed for two years. Egg production by polyps in colonies collected just before the first spawning of a year was estimated by dissecting the polyps. Growth of the colonies (increase in number of polyps) was followed over one annual reproductive cycle. The cost of egg production on colony growth was apparent through colony ontogeny: (1) immature colonies had a greater annual growth rate than mature colonies, but produced almost no eggs; (2) in mature colonies, growth rate was negatively correlated with NE/PV (number of eggs per polyp volume mm^-3). Annual whole-colony mortality was high in colonies with fewer than11 polyps in initial colony size, while mortality was extremely low once a colony grew beyond this size. This critical size for low whole-colony mortality was much smaller than the colony size (40 polyps) which would attain maturity one year later. Age at maturity was estimated as six years. While survival to maturity may be a selective force for the evolution of delayed maturation, the present data suggest that high colony fecundity, achieved after a long growth period as an immature colony, and an abrupt decrease of colony growth rate after maturation are the crucial forces.     

Quantifying Two-Dimensional Filamentous and Invasive Growth Spatial Patterns in Yeast Colonies

The top-view, two-dimensional spatial patterning of non-uniform growth in a Saccharomyces cerevisiae yeast colony is considered. Experimental images are processed to obtain data sets that provide spatial information on the cell-area that is occupied by the colony. A method is developed that allows for the analysis of the spatial distribution with three metrics. The growth of the colony is quantified in both the radial direction from the centre of the colony and in the angular direction in a prescribed outer region of the colony. It is shown that during the period of 100–200 hours from the start of the growth of the colony there is an increasing amount of non-uniform growth. The statistical framework outlined in this work provides a platform for comparative quantitative assays of strain-specific mechanisms, with potential implementation in inferencing algorithms used for parameter-rate estimation.     

Morphogenetic evolution of hydroid colony pattern

A scheme of evolution of hydrozoan colony pattern is proposed based upon the consideration of macro-morphogenesis. Four main processes play decisive roles(1) hard skeleton formation by soft tissues, (2) changes in duration of the growth phase relative to the transition to differentiation in interdependent zones of growth, (3) ratio in growth rates between adjacent zones of growth within the rudiment, the shoot, or the whole colony, and (4) spatial relationships among growth zones. The main tendency in morphological evolution of the hydroids is an increasing integration of the colony as revealed by increasing complexity of its structure. That is from a temporary colony towards the permanent one with highly organised shoots, as hydranths and branches are localised in a strictly arranged manner. An analysis of diverse data allows one to state that the main morphogenetic mechanism of increasing complexity in the hydroid colony is convergence, then fusion, of adjacent growth zones, a variant of heterochrony.     

The amoebal cell of Physarum polycephalum: colony formation and growth.

Two stages of colony growth were observed during microscopic studies of Physarum polycephalum amoebae. During the first stage, “spreading growth,” the colony is composed of dispersed single cells. During the second stage, “aggregate growth,” most of the active cells in a colony are aggregated in a ring at the colony boundary. Measurements of cell movement as a function of bacterial concentration indicate that, during both spreading and aggregate growth, cell movements are not affected by changes in bacterial concentration but that the transition from spreading to aggregate growth occurs earlier on plates with lower bacterial concentrations. These results indicate that autonomous characteristics of the amoebae are more important for the determination of colony form than local variations in the concentrations of nutrients.The genetic determination of colony form is demonstrated by the existence of mutants that display specific alterations in colony morphology. Because the aggregate rings of these mutants move at an increased rate, mutant clones appear as variant sectors of wild-type colonies. The increased rate of mutant ring movement suggests that this selection method may be a useful technique for isolating mutant myxamoebae with defects in movement and behavior.     

The growth and form of bacterial colonies.

A simple method is described for measuring the profile of bacterial colonies. Profiles were determined for colonies of Bacillus cereus, Escherichia coli and Staphylococcus albus of different ages. In spite of differences in cell morphology, the colony profiles had a common basic structure consisting of steeply rising leading edge connected by a ridge to an interior region where height also rose, though less steeply, to a flat or domed centre. The colony mass increased exponentially through part of the growth phase. It is suggested that net colony growth consists of a combination of leading edge growth, which is unrestricted and approaches the maximum specific growth rate of the organism, and diffusion-limited growth in the colony interior. Common elements of profiles from each species may be a consequence of such differences in growth rate.     

The detection of subclasses of granulosa cells with differing responsiveness to EGF, FGF, and gonadotropin preparations using an anchorage-independent clonal agar assay

Subpopulations of granulosa cells of differing responsiveness to epidermal growth factor (EGF), fibroblast growth factor (FGF), pituitary gonadotropin preparations, and rat erythrocyte suspensions (RBC) have been detected using an anchorage-independent clonal agar assay. All growth factor preparations were capable of enhancing colony formation when added alone, and elicited cloning efficiencies as high as 35% when added to the culture system at optimal concentrations in a variety of combinations. The FGF preparation was the single most effective stimulator of colony formation, augmenting both colony numbers and colony size at concentrations as low as 50 ng/ml. However, unlike the other growth factors in this assay system, a plateau in responsiveness could not be reached even at levels as high as 1 microgram/ml. NIH-FSH-P2 and NIAMMD-bLH-4 were considerably less potent than other growth factors. Both preparations were inactive at concentrations less than 1 microgram/ml and produced an optimal response at 10 micrograms/ml.     

T-lymphocyte colony formation of murine thymocytes in agar contained in glass capillaries

Optimal growth conditions are presented for a new colony test with mouse thymocytes in agar contained in glass capillaries. The kinetics of colony growth and the dependence from the PHA-, I1-2-, agar- and 2-mercaptoethanol concentration are shown. The colony forming cells are identified as T-lymphocytes by usual morphology and by an indirect immunoperoxidase method using mouse anti-Thy 1.2 antibodies.     

The determination of growth rates of individual colonies in agarose using high-resolution automated image analysis

This paper describes the evaluation of a colony formation assay using automated image analysis, which permits the tracking of growth at the individual colony level, such that a growth rate can be estimated for each colony followed. In principle, this will permit quantitative characterization of cellular heterogeneity in growth rate and cellular heterogeneity in response to proliferation-modifying agents. In addition, we have demonstrated the possibility of using correlative microscopy to relate growth rate to other parameters, using metabolic viability as an example. This should be useful for determining cellular characteristics associated with proliferative behavior and response to proliferation-modifying agents.     

What determines the growth of individual castes in social trematodes?

Phenotypic diversification among colony members often leads to formation of physical castes which are morphologically specialised for particular tasks within the colony. The relative abundance of these castes and their body sizes represent two key aspects of the demography of a colony that may reflect the colony’s needs and conditions, and ultimately influence its survival and reproductive success. In a recently discovered social trematode, Philophthalmus sp., which exhibits a reproductive division of labour, the role of competition and colony composition in shaping reproductive success and behaviour of colony members has been documented. As body size variation within physical castes often influences colony efficiency, we investigated how the growth of reproductive and non-reproductive morphs of Philophthalmus sp. responds to competitive pressure, and to other attributes of colony demography such as colony size and composition. Our survey of a natural population and in vitro experiments demonstrate that the growth of reproductive colony members reflects the interaction between colony composition and the presence of a competitor, while the non-reproductive members simply grow larger in the presence of the intra-host competitor, Maritrema novaezealandensis. Furthermore, the close association between the volume and reproductive capacity of the reproductive members corroborates an adaptive value of colony member size in determining the fitness of the trematode colony as a whole. The present study is the first to demonstrate a fitness consequence, and identify the determinants, of the growth of colony members in social trematodes.     

Improvements on colony morphology identification towards bacterial profiling

Colony morphology may be an indicator of phenotypic variation, this being an important adaptive process adopted by bacteria to overcome environmental stressors. Furthermore, alterations in colony traits may reflect increased virulence and antimicrobial resistance. Despite the potential relevance of using colony morphological traits, the influence of experimental conditions on colony morphogenesis has been scarcely studied in detail. This study aims to clearly and systematically demonstrate the impact of some variables, such as colony growth time, plate colony density, culture medium, planktonic or biofilm mode of growth and strain genetic background, on bacterial colony morphology features using two Pseudomonas aeruginosa strains. Results, based on 5-replicate experiments, demonstrated that all variables influenced colony morphogenesis and 18 different morphotypes were identified, showing different sizes, forms, colours, textures and margins. Colony growth time and composition of the medium were the variables that caused the highest impact on colony differentiation both derived from planktonic and biofilm cultures. Colony morphology characterization before 45 h of incubation was considered inadequate and TSA, a non-selective medium, provided more colony diversity in contrast to P. aeruginosa selective media. In conclusion, data obtained emphasized the need to perform comparisons between colony morphologies in equivalent experimental conditions to avoid misinterpretation of microbial diagnostics and biomedical studies. Since colony morphotyping showed to be a reliable method to evaluate phenotypic switching and also to infer about bacterial diversity in biofilms, these unambiguous comparisons between morphotypes may offer a quite valuable input to clinical diagnosis, aiding the decision-making towards the selection of the most suitable antibiotic and supportive treatments.     

Determination of anti-Aspergillus activity of antifungal agents based on the dynamic growth rate of a single hypha

The dynamic growth rate of a single hypha of Aspergillus niger was analysed using an automatic system. A colony of A. niger was in contact with saline, saline containing an antifungal agent, and flushing saline, in sequence. The growth rate of a test hypha selected arbitrarily from the colony responded dynamically to the antifungal agent. The minimum concentration that caused the complete inhibition of hyphal growth was defined as the minimum inhibitory concentration (MIC). The MIC values obtained were compared with those determined by conventional methods based on increasing rate of colony diameter or dry matter weight.     

Cellular automata simulations of fungal growth on solid substrates

Growth of filamentous fungi on the surface of cereal grains is a critical aspect of solid substrate fermentation (SSF). Numerous mathematical models have been developed to describe various aspects of fungal growth in SSF. These models consider hyphal geometry and nutrient availability as determinants of colony morphology and fungal physiological state. This work describes the use of cellular automata (CA) as an alternative method of modeling fungal growth. CA models reliant on a very limited set of rules or "knowledge base" display a rich array of behaviors that mimic fungal growth. By incorporating probablistic growth rules into CA models, colony characteristics such as biomass accumulation rate, colony radial growth rate, mycelial density and fungal differentiation are readily generated.     

Growth of yeast colonies on solid media

Colonies on nutrient agar of the aerobic yeast Candida utilis show linear increases in diameter and height with time throughout most of the growth cycle. The concentration of glucose in the agar has a negligible effect on radial growth rate although an increase in the glucose concentration prolongs the linear radial growth phase. The rate of increase in height of the colony is proportional to the square root of the initial glucose concentration. A new model that considers both glucose diffusion and oxygen diffusion in the colony is consistent with the observed colony profiles.     

Growth factor and somatic cell regulation of mouse gonocyte-derived colony formation in vitro

At birth, the mouse gonocyte does not resume mitotic activity for several days in vivo but, in an in vitro clonogenic system, cell division commences soon after culture. Somatic testis cell underlays had potent inhibitory activity on gonocyte-derived colony formation (23 +/- 15% compared with 84 +/- 1% in controls; P = 0.0001) when added to cultures of gonocytes in vitro. A Sertoli cell line, TM4B, had an even more pronounced effect on gonocyte clonogenic capacity, with 1 +/- 1% compared with 72 +/- 17% colony formation in controls (P = 0.0003). Testis cells appeared to have a direct inhibitory effect since testis-conditioned medium did not show a significant reduction in the number of colonies. The observed reduction in colony formation with the testis cell underlay was not accounted for by decreased attachment of gonocytes as simultaneous addition of a single cell suspension of testis cells was still effective in significantly reducing colony number when compared with controls (P = 0.01). Therefore, the observed inhibition exerted by testis cells appears to be a consequence of decreased proliferation of gonocytes. Growth factors belonging to the transforming growth factor beta superfamily which are known to be expressed in testis, such as transforming growth factor beta and epidermal growth factor, did not exert any inhibitory action on gonocyte-derived colony formation when added together or alone. However, a shift to a smaller colony size occurred in the presence of transforming growth factor beta and transforming growth factor beta plus epidermal growth factor, indicating a reduction in colony cell proliferation. Evidence for the expression of the Müllerian inhibiting substance receptor on newborn gonocytes using in situ hybridization was inconclusive. This finding was in agreement with the lack of a direct action of Müllerian inhibiting substance on the formation of gonocyte-derived colonies in vitro. Leukaemia inhibitory factor, alone or in combination with forskolin, had neither an inhibitory nor an enhancing effect on gonocyte-derived colony formation. An in vitro clonogenic method to assay for the proliferation of gonocytes in the presence of specific growth factors, cell lines, testis cell underlays and cell suspensions was used to identify a somatic cell-mediated inhibitor which may be responsible for the inhibitory action on gonocyte proliferation in vivo shortly after birth.     

Allometry of resource capture in colonial cnidarians and constraints on modular growth

1. Indeterminacy in growth of colonial organisms, such as corals, is commonly attributed to their modular construction which frees the colony from the allometric constraints that limit the size of single modules. However, as a colony grows, there may be a decrease in resource availability to interior modules because of active depletion and/or passive deflection by modules on the exterior. The effects of 'self-shading' on resource capture in modular animals are modelled using a simple allometric growth function.
2. The model assumes that resource capture by a module scales as an exponent ( γ ) of colony size (i.e. number of modules). Data taken from the literature indicate that model values of γ for light and prey capture range from – 0·80 to – 1·16 for branching and encrusting corals. Module-specific rates of resource use (i.e. metabolism) are less affected by colony size. Therefore, as a colony grows, net resource state eventually reaches zero, making further growth unsustainable or determinate.
3. The model also predicts an inverse relationship between module size and colony size such as that observed in Caribbean corals. This negative correlation results from the additive effects of module size and colony size on the degree of self-shading.
4. Resource capture is affected by growth form and flow regime, and the interaction between them can account for some of the morphological variation in corals and other colonial suspension feeders.     

Logistic model for soldier production in aphids

Summary The number of aphid soldiers in a colony is positively correlated with colony size. This positive correlation has been repeatedly confirmed for the bamboo aphid Pseudoregma bambucicola. To explain this, we present a simple model assuming logistic growth of the aphid colony. The model predicts that a first soldier is more readily produced in large colonies than in small colonies. This is because the productivity of each reproductive decreases as the colony size increases, and also because the efficiency of defense increases as the number of reproductives defended by the soldier increases. The latter effect disappears when the number of reproductives exceeds N_p, the critical number of reproductives that a predator could damage. This argument holds for a second, a third, and an ith soldier in general. Although we assume logistic growth of the aphid colony, the model is applicable to any form of colony growth with minor changes of some premises.Received 12 February 2003; revised 28 March 2003; accepted 22 April 2003.     

The characteristics of an anchorage-independent clonal agar assay for primary explanted bovine granulosa cells

Normal, primary explanted, bovine granulosa cells grow reproducibly in agar culture as anchorage-independent clones. Epidermal growth factor (EGF) and rat erythrocytes are effective stimulators of colony formation, and when both are added to the culture medium at optimal concentrations, there is an enhancement of colony numbers and colony size, indicative of an independent, and operationally additive, mode of action for the two factors. The ability of cells propagated from agar clones to secrete progesterone, and to augment progesterone secretion 4-fold in the presence of 1 mM dbcAMP is proof that colonies originate from and are composed of functional granulosa cells. Maximal colony numbers are present at day 10 of incubation, and colony forming cells undergo self-renewal as assessed by the ability of cells from primary colonies to reclone in agar. Absolute cloning efficiency, however, is dependent on a number of factors. Inherent variability exists in cloning efficiency of granulosa cells from individual follicles. Quantitative and qualitative clonal growth was improved at an osmolality of less than 300 mOsm when compared with higher osmolalities. Cl-1 medium and the alpha modification of Eagle's medium were equally effective in supporting agar clonogenic growth, whereas both Ham's F12 and NCTC 135 media exhibited poor clonogenic growth supporting properties. The substitution of agarose for agar did not affect colony numbers but colonies grown in the presence of agarose tended to be smaller and more uniform in size.     

Nonlinearity in the Growth of Bacterial Colonies: Conditions and Causes

The universally recognized kinetic model of colony growth, introduced by Pirt, predicts a linear increase of colony size. The linearity follows from the assumption that the colony expands through the growth of only such cells that are located immediately behind the moving colony front, in the so-called peripheral zone of constant width and density. In this work, Pirt's model was tested on two bacteria—Alcaligenes sp. and Pseudomonas fluorescens—having markedly distinct cultural properties and grown on an agarized medium with pyruvate. The colony size dynamics was followed for different densities of the inoculum, ranging from a single cell to a microdroplet of bacterial suspension (10⁵–10⁶ cells), and for different depths of the agar layer, determining the amount of available substrate. A linear growth mode was observed only with P. fluorescens and only in the case of growth from a microdroplet. When originating from a single cell, colonies of both organisms displayed nonlinear growth with a distinct peak of K _r (the rate of colony radius increase) occurring after 2–3 days of growth. The growth of P. fluorescens colonies showed virtually no dependence on the depth of the agarized medium, whereas the rate of colony size increase of Alcaligenes sp. turned out to be directly related to the medium layer thickness. The departure from linearity is consistently explained by a new kinetic scheme stipulating a possible contribution to the colony growth not only of peripheral cells but also (much more distinct in Alcaligenes) of cells at the colony center. The colony growth dynamics is determined not only by the concentration of the limiting substrate but also by the amount of autoinhibitor, the synthesis of which is governed by the age of cells. The distinctions of growth from a single cell and microdroplet could also originate as a result of dissociation into the R- and S-forms and competition between the corresponding subpopulations for oxygen and the common substrate.     

Responses to damage in an arborescent bryozoan: Effects of injury location

A common consequence of the predation or physical disturbance of sessile modular animals is the removal of part of the colony. This damage is often sub-lethal, and leaves the remainder of the colony to repair and regenerate lost tissue. Damage may, however, have lasting effects on the life history characteristics of a colony. We examined the effects of damage on growth and reproduction in the arborescent bryozoan Bugula neritina (Linnaeus), with a particular focus on the effects of the location of that damage. We predicted that a damaged colony would initially allocate more energy to damage repair and subsequent growth, increasing in size to decrease the risk of mortality, at the expense of its short-term reproductive potential. A short-term experiment assessed the immediate regenerative capacities of colonies, while a longer-term experiment measured overall colony responses to damage at different colony locations. In this experiment, zooids were removed in three colony regions; all on one colony branch, spread evenly across all growing tips, and a third, intermediate pattern. A third experiment tested the effects of predator-induced damage versus damage alone, by measuring the recovery of colonies subjected to either a predation event by the nudibranch Polycera hedgpethi, or to an imitation predation event, where an equivalent section of the colony was removed manually. Regeneration was rapid, with budding resuming a few days after damage occurred. Removing around 20% of the colony did not consistently alter colony growth rates in any experiment, but the onset of reproduction was delayed by 7 to 20 days, and subsequent colony fecundity reduced by as much as 70% in one damage treatment. The removal of the same amount of tissue by nudibranch predators, or manually removed in a treatment that mimicked this predation, had no detrimental effect on the onset of reproduction or the eventual reproductive output. Nudibranchs removed tissue by consuming whole colony branches, and the experimental treatment that removed one branch also had the least effect of three damage treatments. These results suggest the severity of long-term effects depends on the location of the injury, and that B. neritina does not modify its growth or reproductive patterns to minimise these effects.