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PubMed2000

Simple stochastic models and their power-law type behaviour.

A power-law relationship between the mean and variance of ecological time series has been shown to hold for a vast number of species. Here we examine the behaviour of single-species stochastic models and concentrate in particular on the mean-variance relationship as the carrying capacity becomes large. Single-species stochastic models can be written as Markov chains, and the long-term distribution of population sizes and hence power-law scaling can be found analytically. The various power-law scalings that arise have very different biological implications for the effects of stochasticity and the departure from the deterministic paradigm. Finally we extend our analysis to consider the complicating factors of spatial heterogeneity, nontrivial deterministic dynamics, and multispecies models.

Bias↗
PubMed2002

The impact of consumer-resource cycles on the coexistence of competing consumers.

This article seeks to determine the extent to which endogenous consumer-resource cycles can contribute to the coexistence of competing consumer species. It begins with a numerical analysis of a simple model proposed by Armstrong and McGehee. This model has a single resource and two consumers, one with a linear functional response and one with a saturating response. Coexistence of the two consumer species can occur when the species with a saturating response generates population cycles of the resource, and also has a lower resource requirement for zero population growth. Coexistence can be achieved over a wide range of relative efficiencies of the two consumers provided that the functional response of the saturating consumer reaches its half-saturation value when the resource population is a small fraction of its carrying capacity. In this case, the range of efficiencies allowing coexistence is comparable to that when two competitors have stable dynamics and a high degree of resource partitioning. A variety of modifications of this basic model are analyzed to investigate the consequences for coexistence of different resource growth equations, different functional and numerical response shapes, and other factors. Large differences in functional response shape appear to be the most important factor in producing robust coexistence via resource cycles. If the unstable species has a concave numerical response, this greatly expands the conditions allowing coexistence. If the stable consumer species has a convex (accelerating) functional and/or numerical response, the range of conditions allowing coexistence is also expanded. We argue that large between-species differences in functional response form can often be produced by between-consumer differences in the adaptive adjustments of foraging effort to food density. Consumer-resource cycles can also expand the conditions allowing coexistence when there is resource partitioning, but do so primarily when resource partitioning is relatively slight; this makes the ease of coexistence relatively independent of consumer similarity.

Ecosystem↗
PubMed1997

Construction of ovine adenovirus recombinants by gene insertion or deletion of related terminal region sequences.

An ovine adenovirus which may be the prototype for a new group of adenoviruses has been engineered as a gene transfer vector. One recombinant containing a 0.95-kb insertion expressed a sheep parasite antigen from the ovine adenovirus major late promoter and tripartite leader sequences. It was shown that insertions of at least 4.3 kb were tolerated at either one of two sites in the genome without the introduction of a compensating deletion. The unique structure of this viral genome was further emphasized by the discovery that four open reading frames at the right hand end show significant identity to each other but not to other sequences in the databases. Two other unrelated open reading frames were also present. RT-PCR analysis identified two transcripts in this region which were derived from a promoter which was located very close to, or within the ITR sequence. Splicing removed all but the first and last of the ORFs from these RNAs, suggesting that some sequences might be nonessential for replication in vitro. A approximately 2-kb deletion, which removed or truncated the internal reading frames was introduced into the region without affecting virus viability. The carrying capacity of OAV recombinants should therefore be at least 6.3 kb. The relative packaging capacity of OAV (114%) therefore exceeds that of Ad5 (105%), although a comparison of virus particle sizes by electron microscopy showed that OAV was smaller than Ad5. These studies improve the potential utility of OAV as a gene transfer vector.

Adenoviridae↗
PubMed2005

Modeling of the response of ptO2 in rat brain to changes in physiological parameters.

It is known that oxygen tension in tissue (ptO2) will change in response to an alteration of physiological parameters including: pCO2 in arterial blood, blood flow, capillary density, oxygen carrying capacity, and p50 of hemoglobin. We have used modeling to compute the change of PtO2 in response to changes of each physiological parameter and related these changes to experimental data. The oxygen distribution in a Krogh cylinder was computed assuming a linear decrease of hemoglobin saturation from the arterial to the venous end of the capillary. Parameters of the model were used to compute the baseline cerebral PtO2 expressed as the mean value of the PtO2 over the whole cylinder. These parameters were adjusted to derive PtO2 values close to those measured at the relevant experimental conditions. Then each desired parameter was varied to calculate the change in PtO2 related to this parameter. Effects of different factors on cerebral PtO2 were modeled and compared with experimental values obtained with various experimental interventions including: changing CBF, modifying p50 with the allosteric modifier RSR13, modification of capillary density, and hemoglobin content. An acceptable agreement of the computed and the experimental changes of the cerebral PtO2 was obtained for these experimental conditions.

Acclimatization↗
PubMed2004

Cyanide hazards to plants and animals from gold mining and related water issues.

Cyanide extraction of gold through milling of high-grade ores and heap leaching of low-grade ores requires cycling of millions of liters of alkaline water containing high concentrations of potentially toxic sodium cyanide (NaCN), free cyanide, and metal-cyanide complexes. Some milling operations result in tailings ponds of 150 ha and larger. Heap leach operations that spray or drip cyanide onto the flattened top of the ore heap require solution processing ponds of about 1 ha in surface area. Puddles of various sizes may occur on the top of heaps, where the highest concentrations of NaCN are found. Solution recovery channels are usually constructed at the base of leach heaps, some of which may be exposed. All these cyanide-containing water bodies are hazardous to wildlife, especially migratory waterfowl and bats, if not properly managed. Accidental spills of cyanide solutions into rivers and streams have produced massive kills of fish and other aquatic biota. Freshwater fish are the most cyanide-sensitive group of aquatic organisms tested, with high mortality documented at free cyanide concentrations >20 microg/L and adverse effects on swimming and reproduction at >5 microg/L. Exclusion from cyanide solutions or reductions of cyanide concentrations to nontoxic levels are the only certain methods of protecting terrestrial vertebrate wildlife from cyanide poisoning; a variety of exclusion/cyanide reduction techniques are presented and discussed. Additional research is recommended on (1) effects of low-level, long-term, cyanide intoxication in birds and mammals by oral and inhalation routes in the vicinity of high cyanide concentrations; (2) long-term effects of low concentrations of cyanide on aquatic biota; (3) adaptive resistance to cyanide; and (4) usefulness of various biochemical indicators of cyanide poisoning. To prevent flooding in mine open pits, and to enable earth moving on a large scale, it is often necessary to withdraw groundwater and use it for irrigation, discharge it to rapid infiltration basins, or, in some cases, discharge it to surface waters. Surface waters are diverted around surface mining operations. Adverse effects of groundwater drawdown include formation of sinkholes within 5 km of groundwater drawdown; reduced stream flows with reduced quantities of wate available for irrigation, stock watering, and domestic, mining and milling, and municipal uses; reduction or loss of vegetation cover for wildlife, with reduced carrying capacity for terrestrial wildlife; loss of aquatic habitat for native fishes and their prey; and disruption of Native American cultural traditions. Surface discharge of excess mine dewatering water and other waters to main waterways may contain excess quantities of arsenic, total dissolved solids, boron, copper, fluoride, and zinc. When mining operations cease, and the water pumps are dismantled, these large open pits may slowly fill with water, forming lakes. The water quality of pit lakes may present a variety of pressing environmental problems.

Animals↗
PubMed1989

Changes in regional cerebral blood flow and sucrose space after 3-4 weeks of hypobaric hypoxia (0.5 ATM).

In summary, we can come to a number of meaningful conclusions regarding chronic exposure to hypobaric hypoxia in rats (refer to Figure 1). First, despite an increased hematocrit, and thus increased oxygen carrying capacity, regional cerebral blood flow is elevated after 4 weeks of chronic hypobaric hypoxia. This elevation in blood flow occurs even though the rat hyperventilates to lower than normal arterial CO2 content which would ordinarily decrease cerebral blood flow. Second, although blood flow is increased in both chronic and acute hypoxia, the increases can not be through similar mechanisms since in the acute hypoxic condition there is also an increase in local blood volume that is absent in the chronic response. Third, the effect of chronic hypoxic exposure on cerebral blood flow persists for at least 4 hours after the animal is returned to normobaric normoxia. Fourth, sometime between 4 and 24 hours of recovery is necessary to reverse the effect of chronic hypoxia on cerebral blood flow. One day after having been returned to normobaric normoxia cerebral blood flow had returned to control. On the other hand, hematocrit was still elevated in these rats. Thus, the change in hematocrit does not seem to be associated in any mechanistic manner with the blood flow response.

Animals↗
PubMed1997

Environmental stress and evolution: a theoretical study.

A haploid population subject to recurrent deleterious mutations and two environments that provide two different profiles of selection coefficients over loci are modeled. The population is supposed to inhabit one "home" environment where it evolves the corresponding genetic constitution. One generation of the population is then exposed to the second, "foreign" environment. The decline in the mean population fitness is considered as a measure of stress in the population caused by the foreign environment. I define the relative strength of stress as 1 minus the ratio of the mean fitnesses in the foreign and home environments, and give the corresponding analytical expression. The stress strength is composed of three different contributors: the environmental component of stress, which is determined by purely external, non-genetic factors of the foreign environment (its carrying capacity), and two genetic components. The latter consists of the environment x genetic component, caused by the direct influence of the foreign environment on selection coefficients, and of the evolutionary component that is due to the adaptation of the population to the home environment. Among others, it is shown that even if the home and foreign environments were equivalent, so that both the environmental and environmental x genetic components of stress were absent, stress would still occur in the foreign environment due to the evolutionary component. The model also predicts that stressful foreign environments cause an increase in the genotypic variance of fitness. Some other features of population variability in stressful environments are discussed. A general conclusion that can be drawn from this model is that a certain environment may be claimed as stressful only if considered with respect to both a given population and the environment in which the population has evolved.

Animals↗
PubMed1996

The diffusion model for migration and selection in a dioecious population.

The diffusion approximation is derived for migration and selection at a multiallelic locus in a dioecious population subdivided into a lattice of panmictic colonies. Generations are discrete and nonoverlapping; autosomal and X-linked loci are analyzed. The relation between juvenile and adult subpopulation numbers is very general and includes both soft and hard selection; the zygotic sex ratio is the same in every colony. All the results hold for both adult and juvenile migration. If ploidy-weighted average selection, drift, and diffusion coefficients are used, then the ploidy-weighted average allelic frequencies satisfy the corresponding partial differential equation for a monoecious population. The boundary conditions and the unidimensional transition conditions for coincident discontinuities in the carrying capacity and migration rate extend identically. The previous unidimensional formulation and analysis of symmetric, nearest-neighbor migration of a monoecious population across a geographical barrier is generalized to symmetric migration of arbitrary finite range, and the transition conditions are shown to hold for a dioecious population. Thus, the entire theory of clines and of the wave of advance of favorable alleles is applicable to dioecious populations.

Animals↗
PubMed1994

Population size dependent incidence in models for diseases without immunity.

Epidemiological models of SIS type are analyzed to determine the thresholds, equilibria, and stability. The incidence term in these models has a contact rate which depends on the total population size. The demographic structures considered are recruitment-death, generalized logistic, decay and growth. The persistence of the disease combined with disease-related deaths and reduced reproduction of infectives can greatly affect the population dynamics. For example, it can cause the population size to decrease to zero or to a new size below its carrying capacity or it can decrease the exponential growth rate constant of the population.

Demography↗
PubMed1979

Deterministic single-locus density-dependent selection.

Density-regulated selection is considered for a single, multiallele gene locus and separated generations. Characteristics resulting from the basic assumption that the average population fitness decreases with increasing density are derived. Under this assumption, it proves to be necessary to distinguish between regions of allelic frequencies which imply limited population growth, unlimited growth, or ultimate extinction when the population stays in the respective region. Particular attention is given to the investigation of the region of limited growth and the 'carrying capacity function' theta defined on it. Relationships between theta and the average fitness (adaptive surface) in the non-density dependent model are explained. Besides stability properties of equilibrium points, more general characteristics concerning the asymptotic behavior of population trajectories are treated. In this context, the problems of sudden loss of alleles and of population extinction as a result of large fluctuations in density are discussed.

Alleles↗
PubMed1983

Parasites at the origin of life.

This paper is concerned with parasitic virus-like particles and their hosts. It is proposed that parasitism must have occurred at an early stage of evolution, soon after the first self-reproducing systems had formed. When chemical building blocks for self-reproducing systems became scarce, current theories envision that some self-reproducing systems evolved the capability to synthesize materials for self-replication from chemical precursors in the environment. It is proposed that at about the same time parasitic systems (phages) arose that replicated at the expense of host systems by diverting host materials to the replication of their own genomes. With the aid of a mathematical model we demonstrate that host and phages can coexist in a stable equilibrium, depending upon the carrying capacity of the environment. If the latter falls below a threshold, then the parasites die out. A parasite that has the capability to integrate into the host genome is replicated along with it and thus escapes extinction during periods of population bottlenecks of the host population. The presence of phages creates evolutionary pressures favoring host defenses against them. Thus, modern bacteria are able to degrade most invading DNA (through restriction enzymes). Defense capabilities require a share of the genome, thus adding to the genetic complexity of organisms.

Biological Evolution↗
PubMed1989

A competitive exclusion principle for pathogen virulence.

For a modified Anderson and May model of host parasite dynamics it is shown that infections of different levels of virulence die out asymptotically except those that optimize the basic reproductive rate of the causative parasite. The result holds under the assumption that infection with one strain of parasite precludes additional infections with other strains. Technically, the model includes an environmental carrying capacity for the host. A threshold condition is derived which decides whether or not the parasites persist in the host population.

Animals↗
PubMed1986

Hemodynamic oxygen transport and 2,3-diphosphoglycerate changes after transfusion of patients in acute respiratory failure.

The goals of management of patients with respiratory failure include improving arterial oxygenation with PEEP and red cell transfusion to maintain oxygen carrying capacity, both of which contribute to improving tissue oxygen delivery. However, standard CPD-stored blood is rapidly depleted of 2,3 diphosphoglycerate (2,3 DPG) and ATP, with resultant inadequacy of the red cell oxygen transport function. In 15 patients requiring mechanical ventilation with PEEP whose initial Hct less than or equal to 35%, we studied the effect of transfusion of 7 ml/kg of CPD-stored packed red blood cells on hemodynamic and oxygen delivery variables, pulmonary venous admixture (QA/QT), and erythrocytic P50, 2,3 DPG and ATP concentrations. Hemodynamics were not significantly altered by transfusion. 2,3 DPG decreased significantly from 14.5 +/- 1.1 to 13.1 +/- 1.5 mcmol/g Hb (mean +/- SD, p less than 0.05). There was no significant change in P50 or ATP. QA/QT rose significantly, from 20.1 +/- 7.8 to 28.9 +/- 12.3% (mean +/- SD, p less than 0.02). In our patients, an increase in arterial oxygen content obtained by transfusion was not followed by any associated decrease in cardiac work, as implied by solution of equations for oxygen delivery and oxygen consumption. The rise in QA/QT is undesirable in patients requiring PEEP, since it complicates management of their mechanical ventilatory support.

2,3-Diphosphoglycerate↗
PubMed1990

Respiratory and metabolic responses in the horse during moderate and heavy exercise.

Thoroughbred horses were exercised to fatigue on a treadmill at 62% and 100% of their VO2max. Hypoxemia occurred at the onset of exercise under both exercise conditions. This hypoxemia persisted to fatigue during the heavy exercise but progressively diminished as the exercise continued and had disappeared by the end of exercise at the lighter load. As a result of the hypoxemia the oxygen content of arterial blood during exercise at VO2max was 17% below its carrying capacity. However, under both experimental conditions the CaO2 still exceeded that of rest owing to an elevation in hemoglobin concentration. The temperature of blood at the point of fatigue was similar, 41.0 +/- 0.2 degrees C and 41.1 +/- 0.2 degrees C, for exercise at 62% and 100% VO2max, respectively. Muscle samples collected at rest and at the termination of exercise did not demonstrate major differences between the exercise conditions except for a higher [lactate] and lower pH following the heavy exercise. From these results it can be suggested that the combined effects of an elevated body temperature, changes in muscle pH, and oxygen delivery may all be factors contributing to limit exercise capacity in the horse.

Adenosine Triphosphate↗
PubMed1976

[Roentgenologic and morphologic studies of experimental tibial-plateau fractures (author's transl)].

Experimental tibial-plateau fractures had been produced to a series of 12 knee joints of corpses. The knee-joints had been exposed to vertical pressure in an extended position. The exerted pressure and the achieved deformation had been noted down in a diagram. The following radiological and morphological examination of the specimen showed that clear impressed fractured had arrived in case of a small deformation, whereas stronger compression had always caused combinated impression and split fractures. Impressions up to a depth of 3 to 5 mm cannot be proved radiologically. A certain unknown figure must be reckoned with in cases of distorsions of the knee-joint without a striking radiological finding. This will, however, hardly involve therapeutic consequences, because the carrying capacity of the tibial condyle will not be considerably reduced by such small impressions, and there is no fear of a further impression under load.

Biomechanical Phenomena↗
PubMed1975

Competitive ability of amylolytic bacteria in activated sludge.

Shifts were induced into the microbial community of activated sludge by the pulse addition of soluble starch. The subsequent changes of amylolytic and proteolytic microbial populations were recorded. Four amylolytic strains were isolated and characterized with regard to carrying capacity, specific surface and growth kinetics. The competitive ability of these strains was studied by means of two-member competition experiments. These experiments were analysed according to the Lotka-Volterra model and the de Wit method. The different results obtained suggest that the dominance of the amylolytic Pseudomonas sp. (code 01) is based on a combined occurrence of high amylolytic activity, large relative cell surface, high maximum specific growth rate and reduced sensitivity towards associated proteolytic populations.

Aeromonas↗
PubMed1977

Capillary-venous hematocrit differences in newborn infants. I. Relationship to blood volume, peripheral blood flow, and acid base parameters.

Venous and capillary hematocrit, acid base values, and circulatory parameters were measured simultaneously in 92 newborn infants within six hours of birth. Gestational age ranged from 26 to 41 weeks. The capillary/venous hematocrit ratio (Hctc/Hctv) was greater than 1.00 in 89 infants. We found significant inverse correlations between Hctc/Hctv and several parameters, such as pH (r = -0.82), standard bicarbonate (r = -0.73), systolic blood pressure (r = -0.51), and peripheral blood flow (r = -0.70). Most of the infants with a Hctc/Hctv of 1.20 and above had red cell mass values of less than 35 ml/kg. However, blood volume apparently did not influence the Hctc/Hctv. Gestational age appeared to affect Hctc/Hctv only before 30 weeks, when compared with the Hctc/Hctv of term infants. Our results indicate that disturbed circulation, and in particular, disturbed microcirculation is involved in the development of high Hctc/Hctv ratios. We strongly advise that hematocrits obtained by skin prick from a sick newborn infant should not be relied on as they may give misleading information on oxygen carrying capacity to vital organs.

Acid-Base Equilibrium↗
PubMed1989

Changes in vasomotion pattern and local arteriolar resistance during stepwise pressure reduction.

Changes in vasomotion parameters and their consequences for local arteriolar resistance were studied in transverse arterioles and their first order side branches in the tenuissimus muscle of 10 young urethane anesthetized rabbits during stepwise reduction of arterial pressure, using intravital microscopy. To assess the influence of vasomotion on mean local arteriolar resistance, the effective vascular diameter, as a measure of mean flow carrying capacity, was calculated. The contribution of vasomotion to the mean local resistance is limited in transverse arterioles, but important in first order side branches, dominating the flow fluctuations in the downstream capillaries. During pressure reduction, an over-all increase in vasomotion cycle length and amplitude was found in both transverse arterioles and first order side branches, concomitant with an increase in effective arteriolar diameter and a decrease in local blood flow and reduced velocity, as a measure of wall shear rate. Flow autoregulation was observed in 70% of the arterioles. The changes in cycle length and amplitude showed only limited correlations with local blood flow, reduced velocity, arterial pressure and effective arteriolar diameter. This indicates that it is unlikely that only one of these variables is responsible for the changes in the vasomotion parameters.

Animals↗