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PubMed1992

Survival of small populations under demographic stochasticity.

We estimate the mean time to extinction of small populations in an environment with constant carrying capacity but under stochastic demography. In particular, we investigate the interaction of stochastic variation in fecundity and sex ratio under several different schemes of density dependent population growth regimes. The methods used include Markov chain theory, Monte Carlo simulations, and numerical simulations based on Markov chain theory. We find a strongly enhanced extinction risk if stochasticity in sex ratio and fluctuating population size act simultaneously as compared to the case where each mechanism acts alone. The distribution of extinction times deviates slightly from a geometric one, in particular for short extinction times. We also find that whether maximization of intrinsic growth rate decreases the risk of extinction or not depends strongly on the population regulation mechanism. If the population growth regime reduces populations above the carrying capacity to a size below the carrying capacity for large r (overshooting) then the extinction risk increases if the growth rate deviates from an optimal r-value.

Animals↗
PubMed2004

Anemia management in heart failure: a thick review of thin data.

Heart failure is defined as the inability of the heart to pump blood at an amount sufficient to meet the metabolic needs of the body. In heart failure, the inability to meet the body's metabolic needs is based on hemodynamic derangement and suboptimal oxygen-carrying capacity of the blood itself. Current pharmacologic therapy attempts to improve survival and reduce symptomatology by optimizing hemodynamics to increase oxygen delivery, but does not address oxygen-carrying capacity. Unfortunately, there is a high prevalence of anemia in patients with heart failure, which compromises oxygen-carrying capacity, is an independent predictor of mortality, and may be caused in part by pharmacologic agents that confer morbidity and mortality benefits in this population. Recombinant human erythropoietin supplementation improves the functional capacity of the failing myocardium, reverses and antagonizes the detrimental remodeling induced by autoimmune activity, and may reduce mortality and morbidity among patients receiving maximal pharmacologic therapy for heart failure. However, limited clinical data prohibit widespread recommendations for its use in patients with heart failure.

Anemia↗
PubMed1999

Ecological character displacement in quantitative genetic models.

We study, both analytically and numerically, models of ecological character displacement for two species that compete for the same set of food sources. These models include quantitative genetics and Lotka-Volterra type competition and are symmetric with respect to the two species. We allow for various shapes of the carrying capacity and the competition function, and we discuss under what general conditions large character displacement can occur. While some of these conditions, like genetic rigidity, or flat and truncated carrying capacity curves, were known before, we also find that slow dynamics of the genetic variance, steep slopes in the interaction function and carrying capacities that are not truncated can lead to large displacements. We interpret these conditions biologically and also give new insights into models which have been previously investigated.

Animals↗
PubMed1984

Polymerized pyridoxylated hemoglobin: a red cell substitute with normal oxygen capacity.

Polymerization of pyridoxylated stroma free hemoglobin (poly SFH-P) yields a solution with a normal hemoglobin concentration, normal colloid osmotic pressure (COP), and a suitable P50. In the present study we compared its in vivo O2-carrying capacity and intravascular persistence with those of pyridoxylated hemoglobin (SFH-P), following a partial exchange transfusion (900 ml) in adult baboons (n = 4 in each group). Poly SFH-P in plasma had an O2-carrying capacity that was 77% greater than that achieved with SFH-P (8.0 versus 4.5 vol%). Furthermore, poly SFH-P provided 5.0 vol% at the end of 24 hours and 2.5 vol% at the end of 48 hours; in contrast SFH-P provided only 2.2 vol% at the end of 6 hours and none within 24 hours. A normal COP was maintained throughout the postexchange period with poly SFH-P despite a 68% increase in plasma protein concentration (from 7.1 to 11.9 gm/dl). The plasma P50 of poly SFH-P decreased from 16 torr immediately after exchange to 12 torr at the end of 48 hours. The in vivo rate of conversion to methemoglobin was similar with both solutions. Polymerized pyridoxylated hemoglobin is currently the only modification of hemoglobin solution that approximates the O2-carrying capacity of whole blood and can be infused without altering the plasma COP.

Animals↗
PubMed1975

Comparison of logistic equations for population growth.

Two different forms of the logistic equation for population growth appear in the ecological literature. In the form of the logistic equation that appears in recent ecology textbooks the parameters are the instantaneous rate of natural increase per individual and the carrying capacity of the environment. In the form of the logistic equation that appears in some older literature the parameters are the instantaneous birth rate per individual and the carrying capacity. The decision whether to use one form or the other depends on which form of the equation is biologically more realistic. In this study the form of the logistic equation in which the instantaneous birth rate per individual is a parameter is shown to be more realistic in terms of the birth and death processes of population growth. Application of the logistic equation to calculate yield from an exploited fish population also shows that the parameters must be the instantaneous birth rate per individual and the carrying capacity.

Mathematics↗
PubMed2000

Managing Recreational Trail Environments for Mountain Bike User Preferences.

/ The carrying capacity model is an effective tool for the management of a wildland recreation resource. Within the model are four primary subcapacities, namely, physical capacity, biological capacity, social capacity, and facility capacity; combined, they are essential to the appropriate management of wildland recreation resource environments. This study focuses on environmental factors of recreational environments that are primarily used by mountain bikers. Little research has been conducted on the social carrying capacity of mountain biking environments, relative to the amount of physical and biological capacity research that has been conducted. The objective of this study was to further resource management knowledge of the mountain bike user in order to better incorporate social carrying capacity into the management of bike use environments. An email survey was used to identify such issues as mountain biker preference of soil erosion management techniques and to measure the effect on experience of resultant factors of soil erosion and trail design. Other issues, such as environmental concern, biker perception of other users, and biker commitment, were also measured. A 58% response rate was achieved. Data gathered from bikers in the United States, United Kingdom, Australia, and New Zealand (N = 406), highlight some important issues concerning the design and management of wildland recreation environments that are primarily used for mountain biking. For example, bikers were found to significantly prefer water bars above all other tested soil erosion management techniques; trail erosion factors, including the presence of rocks, roots, and gullies, all added to biking experiences on average; trail design factors, such as the presence of turns, bumps, jumps, and obstacles, all added to biking experiences in general. These findings were used to address questions that resource managers should consider when striving to effectively manage wildland recreation areas primarily used for mountain biking.

Journal Article↗
PubMed1977

Blood respiratory properties of Bison bison.

The respiratory properties and basic hematology of blood from seven adult bison and one calf were determined. Average oxygen-carrying capacity was 22.2 ml/100 ml blood from adults and 17.0 in calf blood; hemoglobin averaged 17.1 g/100 ml in adults and 13.6 in the calf. Half saturation of the blood occurred at 32mm Hg Po2 at pH 7.40 and 37 degrees C. The average Bohr effect was -0.40. Erythrocytes numbered 8.6 X 10(6)/mm3 and were 52 micron 3 in mean volume. Adult and calf cells differed in mean cell hemoglobin, adults 19.9 pg/cell vs 15.9 in the calf, and this difference evidently caused differences in Haldane effect, standard bicarbonate, and buffering capacity. Bison are capable of prolonged running. Two features of the blood that promote this capacity are its comparatively great oxygen-carrying capacity and low oxygen affinity.

Age Factors↗
PubMed2004

'Refusing treatment--please see': an analysis of capacity assessments carried out by a liaison psychiatry service.

The assessment of capacity to consent to a healthcare decision is an important part of day-to-day work in general hospitals. The role of liaison psychiatric services in assessment of capacity has not been well studied in British practice. We looked at all such referrals (35) to a liaison psychiatric service in a teaching hospital in the course of one year. The commonest referrals were regarding capacity to consent to a therapeutic procedure, followed by post-discharge placement and ability to self-discharge. Organic mental disorders were the most frequent cause of incapacity. 20 (57%) of the referrals were for patients who had refused the intervention in question, and in 12 of these the contentious issue was resolved. Liaison psychiatric services can be useful not only in offering a second opinion or clarifying the influence of psychopathology on decision-making ability but also mediating between the patient and the clinical team.

Adult↗
PubMed2006

Mechanistic models to perform population risk assessment with the midge Chironomus riparius: application to heavy metals.

Mechanistic models can substantially contribute to population risk assessment to assess effects on population and to increase the relevance of the toxicity parameters estimated at an individual level. We use four mechanistic models to change the scale from concentration to effects on individuals and from individuals to population with the midge Chironomus riparius: a kinetics model; an energy-based effects model, linking effects on the life cycle and compound body residues; a matrix approach to derive population growth rate; and an energy-based population model to derive carrying capacity. The whole "model battery" was applied to cadmium and copper. The data came from growth, survival, and reproduction tests. We also incorporated information about compounds physiological mode of action and kinetics. Thresholds at population level were derived through comparisons with our control database. We showed that our two population endpoints (carrying capacity and population growth rate) provide complementary information about toxicity risks, even if, in our study, population growth rate appeared to be slightly more sensitive than carrying capacity. We found population no effect concentration of, respectively, 0.42 and 9.3 mg/kg for cadmium and copper. We also showed that information about physiological mode of action was relevant, whereas a kinetics test was unnecessary.

Animals↗
PubMed2003

Water quality management in the Kaoping River watershed, Taiwan.

The Kaoping River basin is the largest and the most intensively used river basin in Taiwan. It is 171 km long and drains a catchment of more than 3,250 km2. Based on the current water quality analysis, the Kaoping River is heavily polluted. Concern about the deteriorating condition of the river led the Government of Taiwan to amend the relevant legislation and strengthen the enforcement of the discharge regulations to effectively manage the river and control the pollution. Investigation results demonstrate that both point and non-point source pollutants are now the causes of biochemical oxygen demand (BOD), nutrients, and pathogens in the river. The main water pollution sources are livestock wastewater from hog farms, municipal wastewater, industrial wastewater, non-point source (NPS) pollutants from agricultural areas, and leachate from riverbank landfills. The current daily BOD, NH3-N, and TP loadings to Kaoping River are 74,700, 39,400, and 5,100 kg, respectively. However, the calculated BOD, NH3-N, and TP carrying capacities are 27,700, 4,200, and 600 kg per day. To protect public health and improve the river water quality, a comprehensive management and construction strategy is proposed. The proposed strategy includes the following measures to meet the calculated river carrying capacity: (1) a hog ban in the entire Kaoping River basin, (2) sewer system construction to achieve 30% of connection in the basin within 10 years, (3) removal of 10 riverbank landfills, and (4) enforcement of the industrial wastewater discharge standards. After the implementation of the proposed measures, the water quality should be significantly improved and the BOD and nutrient loadings can be reduced to below the calculated carrying capacities.

Agriculture↗
PubMed2006

Evolutionary predictions should be based on individual-level traits.

Recent theoretical studies have analyzed the evolution of habitat specialization using either the logistic or the Ricker equation. These studies have implemented evolutionary change directly in population-level parameters such as habitat-specific intrinsic growth rates r or carrying capacities K. This approach is a shortcut to a more detailed analysis where evolutionary change is studied in underlying morphological, physiological, or behavioral traits at the level of the individual that contribute to r or K. Here we describe two pitfalls that can occur when such a shortcut is employed. First, population-level parameters that appear as independent variables in a population dynamical model might not be independent when derived from processes at the individual level. Second, patterns of covariation between individual-level traits are usually not conserved when mapped to the level of demographic parameters. Nonlinear mappings constrain the curvature of trade-offs that can sensibly be assumed at the population level. To illustrate these results, we derive a two-habitat version of the logistic and Ricker equations from individual-level processes and compare the evolutionary dynamics of habitat-specific carrying capacities with those of underlying individual-level traits contributing to the carrying capacities. Finally, we sketch how our viewpoint affects the results of earlier studies.

Animals↗
PubMed1997

Positive feedback and angiogenesis in tumor growth control.

In vivo tumor growth data from experiments performed in our laboratory suggest that basic fibroblast growth factor (bFGF) and vascular endothelial growth factor (VEGF) are angiogenic signals emerging from an up-regulated genetic message in the proliferating rim of a solid tumor in response to tumor-wide hypoxia. If these signals are generated in response to unfavorable environmental conditions, i.e. a decrease in oxygen tension, then the tumor may play an active role in manipulating its own environment. We have idealized this type of adaptive behavior in our mathematical model via a parameter which represents the carrying capacity of the host for the tumor. If that model parameter is held constant, then environmental control is limited to tumor shape and mitogenic signal processing. However, if we assume that the response of the local stroma to these signals is an increase in the host's ability to support an ever larger tumor, then our models describe a positive feedback control system. In this paper, we generalize our previous results to a model including a carrying capacity which depends on the size of the proliferating compartment in the tumor. Specific functional forms for the carrying capacity are discussed. Stability criteria of the system and steady state conditions for these candidate functions are analyzed. The dynamics needed to generate stable tumor growth, including countervailing negative feedback signals, are discussed in detail with respect to both their mathematical and biological properties.

Animals↗
PubMed2006

Amino acid mixture improves training efficiency in athletes.

This review discusses some of the beneficial effects of a dietary amino acid supplement on muscle function, fatigue, and recovery in exercising athletes. The supplement, a mixture of amino acids that included the branched-chain amino acids, arginine and glutamine, was studied chronically at several daily dose levels for extended periods of time (10, 30, and 90 d). Outcome variables included physical measures of muscle strength, fatigue and damage, and blood indices of muscle damage and oxygen-carrying capacity. One beneficial effect of the amino acid supplement was a quicker recovery from the muscle fatigue that followed eccentric exercise training. A dose-response study of the amino acid mixture at 2.2, 4.4, and 6.6 g/d for 1 mo showed that at the highest dose, indices of blood oxygen-carrying capacity were increased and those of muscle damage were decreased at the end of the trial. When the amino acid mixture was given for 90 d to elite rugby players during training at a dose of 7.2 g/d, a blood-component analysis indicated improvements in the oxygen-carrying capacity of the blood. Together, the studies suggest that the amino acid supplement contributed to an improvement in training efficiency through positive effects on muscle integrity and hematopoiesis.

Adult↗
PubMed1983

Density-dependent selection incorporating intraspecific competition. II. A diploid model.

A diploid model is introduced and analyzed in which intraspecific competition is incorporated within the context of density-regulated selection. It is assumed that each genotype has a unique carrying capacity corresponding to the equilibrium population size when only that type is present. Each genotypic fitness at a single diallelic autosomal locus is a decreasing function of a distinctive effective population size perceived as a result of intraspecific competition. The resulting fitnesses are both density and frequency dependent with selective advantage determined by a balance between genotypic carrying capacity and sensitivity to intraspecific competition. A major finding is that intergenotypic interactions may allow genetic variation to be more easily maintained than in the corresponding model of purely density-dependent selection. In addition, numerical study confirms the possible existence of multiple interior equilibria and that neither overdominance in fitness nor carrying capacity is necessary for stability. The magnitude of the equilibrium population size and optimization principles are also discussed.

Alleles↗
PubMed2004

Modeling impacts on populations: fathead minnow (Pimephales promelas) exposure to the endocrine disruptor 17beta-trenbolone as a case study.

Evaluation of population-level impacts is critical to credible ecological risk assessments. In this study, a predictive model was developed to translate changes in fecundity of the fathead minnow (Pimephales promelas) in a short-term laboratory toxicity test to alterations in population growth rate. The model uniquely combines a Leslie population projection matrix and the logistic equation. Application of the model requires only a life table for the organism of interest, a measure of carrying capacity for the given population, and an estimation of the effect of a stressor on vital rates. The model was applied to investigate population dynamics for fathead minnow exposed to the androgen receptor agonist 17beta-trenbolone. Organismal-level responses for fathead minnows exposed to varying levels of 17beta-trenbolone were used to determine projected alterations in a population existing in a small body of water containing varying concentrations of the androgen. Fathead minnow populations occurring at carrying capacity and subsequently exposed to 0.027 microg/L of 17beta-trenbolone exhibited a 51% projected decrease in average population size after 2 years of exposure. Populations at carrying capacity exposed to concentrations of 17beta-trenbolone > or = 0.266 microg/L exhibited a 93% projected decrease in average population size after 2 years of exposure. Overall, fathead minnow populations exposed to continued concentrations of 17beta-trenbolone equal to or greater than 0.027 microg/L were projected to have average equilibrium population sizes that approached zero.

Androgens↗
PubMed2002

Partitioning of benzene in blood: influence of hemoglobin type in humans and animals.

Earlier studies have shown that air/blood partition coefficients (PCs) for many volatile organic chemicals (VOCs) are much higher in rat blood than in human blood. It has been suggested that the discrepancy could be attributed to the fact that hemoglobin (Hb) in rat blood exists in a quasi-crystalline form of hydrophobicity greater than that of normal human Hb (HbA) and thus has a higher carrying capacity for VOCs. In the present study, we used benzene as a prototypic VOC to examine its relative partitioning into human and animal blood. Additionally, we sought to ascertain whether the water-insoluble form of hemoglobin (HbS) found in subjects with homozygous sickle cell (SC) disease has a greater VOC-carrying capacity than does HbA blood. At a low-O(2) tension, HbS switches to water-insoluble polymers, which physically deforms the red blood cells (RBCs) to the sickle shape. We equilibrated HbA, HbS, Hartley guinea pig, CD1 mouse, and rat (F-344, Wistar, and Sprague-Dawley) blood and their respective fractions with benzene vapor (80 or 400 ppm) for 3 hr at 37 degrees C in air-tight vials. We introduced benzene vapor into the vial head space that contained air or respiratory mixtures of venous-type (low-O(2)) or arterial-type (high-O(2)) gases. The blood measurements included the PC, Hb, partial pressures of O(2)(pO(2)) and CO(2)(pCO(2), pH, and percentage of SCs. The benzene concentration had no effect on these parameters, and the high- and low-O(2) gas mixtures produced the expected changes in pO(2), pCO(2), and pH. At equilibrium, the low-O(2) HbS blood had approximately 85% SCs compared with roughly 15% with air or high-O(2) gas. PCs for rat and mouse blood were about 100% higher than those for human and guinea pig blood, but the PC for deoxygenated HbS blood was only slightly higher than that for HbA or oxygenated HbS blood. Benzene showed higher affinities for RBCs in the deoxygenated HbS, rat, and mouse blood and higher affinity for plasma in the guinea pig blood. There was no evidence of disproportionate partitioning of benzene into oxygenated HbS or into HbA blood forms. These data suggest that the water solubility of Hb alone appears to have little effect on the VOC-carrying capacity of blood and that the influence of species is large in comparison. These latter differences in partitioning may depend on the number of hydrophobic sites on the surface of the plasma/heme proteins and thus be unique to the species.

Animals↗
PubMed2006

Impact of local temperature increase on the early development of biofilm-associated ciliate communities.

Indications of global climate change and associated unusual temperature fluctuations have become increasingly obvious over the past few decades. Consequently, the relevance of temperature increases for ecological communities and for whole ecosystems is one of the major challenges of current ecological research. One approach to investigating the effects of increasing temperatures on communities is the use of fast-growing microbial communities. Here we introduce a river bypass system in which we tested the effect of temperature increases (0, 2, 4, 6 degrees C above the long-term average) on both the colonization speed and the carrying capacity of biofilm-associated ciliate communities under different seasonal scenarios. We further investigated interactions of temperature and resource availability by cross-manipulations in order to test the hypothesis that temperature-mediated effects will be strongest in environments that are not resource-limited. Strong seasonal differences in both tested parameters occurred under natural conditions (no resource addition), and the effects of temperature increase at a given time were relatively low. However, increasing temperature can significantly accelerate the colonization speed and reduce the carrying capacity in particular seasons. These effects were strongest in winter. Simultaneous manipulation of temperature and of resource availability amplified the response to temperature increase, adumbrating strong interactive control of populations by temperature and resource availability. Our results show that the response of communities to local temperature increases strongly depends on the seasonal setting, the resource availability and the stage of succession (early colonization speed vs. carrying capacity).

Analysis of Variance↗
PubMed2004

Phytoplankton blooms and fish recruitment rate: effects of spatial distribution.

We consider the spatio-temporal dynamics of a spatially-structured generalization of the phytoplankton-zooplankton-fish larvae model system proposed earlier (Biktashev et al., 2003, J. Plankton Res. 5, 21-33; James et al., 2003, Ecol. Model. 160, 77-90). In contrast to Pitchford and Brindley (2001, Bull. Math. Biol. 63, 527-546), who were concerned with small scale patchiness (i.e., 1-10 m), on which the (stochastic) raptorial behaviour of individual larvae is important, we address here the much larger scale 'patchy' problems (i.e., 10-100 km), on which both larvae and plankton may be regarded as passive tracers of the fluid motion, dispersed and mixed by the turbulent diffusion processes. In particular, we study the dependence of the fish recruitment on carrying capacities of the plankton subsystem and on spatio-temporal evolution of that subsystem with respect to the larvae hatching site(s). It is shown that the main features found both in the nonstructured and age-structured spatially uniform models are observed in the spatially structured case, but that spatial effects can significantly modify the overall quantitative outcome. Spatial patterns in the metamorphosed fish distribution are a consequence of quasi-local interaction of larvae with plankton, in which the dispersion of larvae by large scale turbulent eddies plays little part due to the relatively short timescale of the larvae development. As a result, in a strong phyto/zooplankton subsystem, with fast reproduction rate and large carrying capacity of phytoplankton and high conversion ratio of zooplankton, recruitment success depends only on the localization and timing of the hatching with respect to the plankton patches. In a weak phyto/zooplankton system, with slow reproduction rate and small carrying capacity of phytoplankton and low conversion ratio of zooplankton, the larvae may significantly influence the evolution of the plankton patches, which may lead to nontrivial cooperative effects between different patches of larvae. However, in this case, recruitment is very low.

Animals↗