Force-frequency relations in hypertrophic heart muscle: a mathematical model for excitation-contraction coupling.

Static and dynamic chrono-inotropic responses were recorded from both normal and hypertrophic rat auricular myocardium. The slope of the static force-frequency relation for hypertrophic hearts was steeper than that for control hearts. Computer experiments were designed to study the cellular mechanisms underlying the changes in the force-frequency response associated with heart hypertrophy, with the aid of a mathematical model for excitation-contraction coupling in rat heart. A set of equations was derived which permitted to study the effects on the chronoinotropic relations of both the geometrical dimensions of cardiomyocytes and the sarcoplasmic reticulum, and of the variation in activity of mechanisms for Ca movements through the sarcolemma and the sarcoreticular membrane. A comparison of data obtained from simulated and real experiments suggested that the features characteristic of force-frequency relations for hypertrophic heart are a result of an enhanced volume of intracellular Ca-stores rather than of the total volume of the cardiomyocyte.     

In situ determinations of bacterial selectivity and filtration rates by five cladoceran zooplankters in a hypertrophic subtropical reservoir

Cladoceran in situ feeding rates on natural bacteria labelledwith [methyl-³H] were studied in parallel with feeding ratedeterminations on ¹⁴C-labelled Chlorella in a hypertrophic subtropicalreservoir (Lake Hartbeespoort) through spring and summer (1986/87).Community filtration rates (CFR5) on bacteria and algae weresimilar, but selection for Chlorella (relative to natural bacteria)increased from midsummer in association with declining bacterialdensity and increasing dominance of ‘inedible’ componentsof the natural phytoplankton. Species-specific filtration rates(SSFRs) were determined for Daphnia pulexllongispina, Ceriodaphniareticulata, Diaphanosoma excisum, Bosmina longirostris and Moinamicrura during their respective seasonal occurrence in the studyperiod. SSFRs on algae and bacteria increased with body length(L, mm) in all species apart from Bosmina. Species-specificdifferences in absolute feeding rate (FR, ml animal^–1day^–1), the slope of the FR-L relationship and bacteriaselectivity were evident. The feeding rate of all cladoceranson bacteria is described by the power equation FR 5.231L^1.42FR values on bacteria relative to FR values on algae averaged     

Physical and chemical features of a tropical hypertrophic reservoir permanently stratified

Physical and chemical parameters of Pao-Cachinche reservoir (Venezuela) were measured in four stations (S1-S4) during an eighteen months period from September 1997 to February 1999. The tributaries of this reservoir introduce high amounts of nutrients from domestic wastewaters and from poultry and pig farms located in the basin. Thermal stratification was well established throughout the study period. Mountainous topography protects the water surface from mechanical action of wind, preventing water mixing. Hypoxic/anoxic conditions prevailed from 6–7 m depth down to the bottom in the limnetic stations. A strong smell of H₂S was detected below the 10 m level. The low water transparency (max. 1.5 m) may be mainly attributed to a high biogenic turbidity. Water salinity was low, as the maximum conductivity measured (260 μS cm^?1) suggests. The water was alkaline in the upper layers during the day time (pH >8.0), due to the high phytoplanktonic productivity, whereas in deeper layers, where decomposition processes predominate, pH was acidic (close to 6.0). Orthophosphate concentrations were high, reaching maximal concentrations in the deeper part of the reservoir (greater than 800 μg l^?1). Total phosphorus exceeded 1000 μg l^?1 in the hypolimnion during the dry season. Ammonia was the dominant inorganic nitrogen species, and its values were greater than 4000 μg l^?1 in the hypolimnetic layer during the dry season. Nitrates and nitrites were present in relatively low concentrations, except for the Paito stream entrance, where nitrate concentrations remained above 260 μg l^?1. Pao–Cachinche reservoir can be considered hypertrophic, according to Salas & Martinó’s criteria for tropical warm lakes, and could be classified as meromictic and warm monomictic, according to Lewis tropical lake types.     

Flow cytometric discrimination of various phycobilin-containing phytoplankton groups in a hypertrophic reservoir

BACKGROUND: Knowledge of phytoplankton structure is important information in water quality control. Lake restoration and sanitation measures in particular must be evaluated on the organismic level to valuate biological effects and assess the risk of potentially toxic Cyanobacteria blooms. We used and comparatively tested three independent methods for phytoplankton analysis in a hypertrophic reservoir under restoration. METHODS: Nine unialgal cultures and outdoor samples were examined by high-performance liquid chromatography pigment analysis, microscopical cell counting, and flow cytometric (FCM) light scatter and fluorescence analysis to measure the percentage contribution of the major algal groups to chlorophyll a and biovolume. The FCM instrument settings and identification criteria were developed using a single excitation wavelength at 514 nm to differentiate nine algal species representing the major groups of algae. Fluorescence was detected at 585, 620, 650, and 680 nm. RESULTS: The results show that FCM is the only method for determining changes in the phytoplankton composition on both a chlorophyll a and biovolume basis. CONCLUSIONS: Each of the three methods has specific advantages and disadvantages, and should be chosen depending on the experimental problem. FCM sorting allows the combination of all three and offers further new perspectives.     

Long-term changes of cladoceran community in a shallow hypertrophic reservoir in Hungary

The diatom Didymosphenia geminata has been reported in literature as a species of cold and oligotrophic waters. In the 1960s it was found in small quantities in southern Poland in oligotrophic, submontane and mountane waters, but was not found there in the years immediately afterwards. However, in the 1990s it unexpectedly appeared in the Carpathian tributaries of the River Vistula, which are mostly mesotrophic in character. In the River San it formed masses below the Solina and Myczkowce reservoirs, where changes in the trophic state had been observed for some years. It is concluded that D. geminata has a wider capacity for adaptation than has previously been assumed. Either the material in the R. San is a different ecotype or the underlying factors favouring the species are rather different from those assumed previously.     

A model for actin-filament length distribution in a lamellipod

A mathematical model is derived to describe the distributions of lengths of cytoskeletal actin filaments, along a 1 D transect of the lamellipod (or along the axis of a filopod) in an animal cell. We use the facts that actin filament barbed ends are aligned towards the cell membrane and that these ends grow rapidly in the presence of actin monomer as long as they are uncapped. Once a barbed end is capped, its filament tends to be degraded by fragmentation or depolymerization. Both the growth (by polymerization) and the fragmentation by actin-cutting agents are depicted in the model, which takes into account the dependence of cutting probability on the position along a filament. It is assumed that barbed ends are capped rapidly away from the cell membrane. The model consists of a system of discrete-integro-PDE's that describe the densities of barbed filament ends as a function of spatial position and length of their actin filament “tails”. The population of capped barbed ends and their trailing filaments is similarly represented. This formulation allows us to investigate hypotheses about the fragmentation and polymerization of filaments in a caricature of the lamellipod and compare theoretical and observed actin density profiles. Received: 19 May 2000 / Revised version: 12 March 2001 / Published online: 19 September 2001     

A mathematical model for the leukocyte filtration process

Leukocyte filters are applied clinically to remove leukocytes from blood. In order to optimize leukocyte filters, a mathematical model to describe the leukocyte filtration process was developed by modification of a general theoretical model for depth filtration. The model presented here can be used to predict the time-dependent leukocyte filtration as a function of cell-cell interaction in the filter, filter efficiency, filter capacity, filter dimensions, and leukocyte concentration in the suspension applied to the filter. The results of different leukocyte filtration experiments previously reported in the literature could be well described by the present model. (c) 1995 John Wiley & Sons, Inc.     

Phytoplankton dynamics in a shallow,hypertrophic reservoir (Lake Arancio,Sicily)

Phytoplankton abundance and composition in the hypertrophic man-made Lake Arancio was analyzed, based on a programme of weekly sampling from May 1990 to November 1991 and supported by measurements of limnological parameters. The highest value of phytoplankton biomass (78 mg l^–1) was observed in October 1990, during a bloom of the desmid Closterium limneticum var. fallax, while the lowest (0.15 mg l^–1) was measured in April 1991. During spring, autumn and winter 1990, species of the genus Closterium dominated the community, in the sequence: C. aciculare, C. limneticum var. fallax, C. limneticum. The summer community was more diverse with the predominance of organisms belonging to Chlorophyceae (Chlamydomonas, Eudorina, Coelastrum) and Cyanophyceae (Microcystis, Anabaena). In spring 1991, there was a long clear-water phase during which small green algae (Ankyra, Oocystis) and cryptomonads dominated. Subsequently, the summer season was characterized by a clear sequence of dominants, drawn, in turns, from species belonging to: Bacillariophyceae, Dinophyceae, Cyanophyceae, Euglenophyceae. The physics of the reservoir and its depth, owing to filling/draining constraints in a summer-arid climate, appeared to play a key role in the dynamics of phytoplankton community.     

Smooth muscle length adaptation and actin filament length: a network model of the cytoskeletal dysregulation

Length adaptation of the airway smooth muscle cell is attributable to cytoskeletal remodeling. It has been proposed that dysregulated actin filaments may become longer in asthma, and that such elongation would prevent a parallel-to-series transition of contractile units, thus precluding the well-known beneficial effects of deep inspirations and tidal breathing. To test the potential effect that actin filament elongation could have in overall muscle mechanics, we present an extremely simple model. The cytoskeleton is represented as a 2-D network of links (contractile filaments) connecting nodes (adhesion plaques). Such a network evolves in discrete time steps by forming and dissolving links in a stochastic fashion. Links are formed by idealized contractile units whose properties are either those from normal or elongated actin filaments. Oscillations were then imposed on the network to evaluate both the effects of breathing and length adaptation. In response to length oscillation, a network with longer actin filaments showed smaller decreases of force, smaller increases in compliance, and higher shortening velocities. Taken together, these changes correspond to a network that is refractory to the effects of breathing and therefore approximates an asthmatic scenario. Thus, an extremely simple model seems to capture some relatively complex mechanics of airway smooth muscle, supporting the idea that dysregulation of actin filament length may contribute to excessive airway narrowing.     

Effects of limiting nutrients and N:P ratios on the phytoplankton growth in a shallow hypertrophic reservoir

The purpose of this study was to evaluate the effects of limiting nutrients and the N:P ratios on the growth of phytoplankton (mainly cyanobacteria) in a shallow hypertrophic reservoir between November 2002 and December 2003. Nutrient enrichment bioassays (NEBs) were conducted, along with analyses of seasonal ambient nutrients and phytoplankton taxa, in the reservoir. The average DIN:TDP and TN:TP mass ratios in the ambient water were 90 (range: 17–187) and 34 (13–60), respectively, during the study period. The dissolved inorganic phosphorus showed seasonal variation, but less than that of inorganic nitrogen. The TN:TP ratios ranged from 13 to 46 (mean: 27 ± 6) during June–December when the cyanobacteria, Microcystis, dominated the phytoplankton composition. The NEBs showed that phytoplankton growth was mainly stimulated by the phosphorus (all of total 17 cases), rather than the nitrogen concentration (8 of 17 cases). The rapid growth rate of cyanobacteria was evident with TN:TP ratios less than 30. According to the results of the NEBs with different N concentrations (0.07, 0.7 and 3.5 mg l⁻¹), but the same N:P ratios and when the nitrogen concentration was highest, the cyanobacterial growth reached a maximum at N:P ratios <1. Overall, the response of cyanobacterial growth was a direct function of added phosphorus in the NEBs, and was greater with increased N concentrations. Thus, cyanobacterial blooms favored relatively low N:P ratios in this hypertrophic reservoir system. An erratum to this article is available at .     

Towards a mathematical model of the aortic reservoir

It is well known from experiments that the circulation is going on under physiological parameters, only if the rigidity of the aortic wall is sufficiently small. We show that the result can be confirmed by the one-dimensional mathematical model describing the dynamics of the aortic reservoir (AR) by means of a hyperbolic system of PDE.     

Fish predation and reduction in body size in a Cladoceran population: palaeoecological evidence

SUMMARY. 1 We studied the recent history (1852-1982) of Lake Pyhä-järvi, south-west Finland, using both cladoceran microfossils and independent historical data. The objective of the study was to assess the impact of introduced planktivorous whitefish Coregonus lavaretus s.1. on zooplankton, especially on the main prey species Bosmina coregoni Baird s.str.
2. A size-frequency analysis of carapace remains preserved in the sediments clearly shows a size shift in a Bosmina coregoni population. The carapace length of B. coregoni decreased by 11.0% after the introduction of the size-selective planktivorous whitefish, indicating a parallel body-size reduction.
3.During the study period no changes could be found in the carapace length of Chydorus sphaericus O. F. Müller, which was not preyed upon.     

Influence of diet shifts in underyearling fish on phosphorus recycling in a hypertrophic biomanipulated reservoir

1. In addition to effects of direct predation by planktivorous fish, nutrient recycling by fish may also contribute to structuring foodwebs in lakes. There is little evidence, however, about whether underyearling fish undergoing several ontogenetic diet shifts may have a comparable bottom-up impact. 2. This study examined seasonal patterns of phosphorus (P) concentration and external load, phytoplankton, zooplankton and benthos, and diet shifts in three underyearling fish [perch (Perca fluviatilis), roach (Rutilus rutilus) and ruffe (Gymnocephalus cernuus)] in the shallow, hypertrophic biomanipulated Bautzen reservoir, Germany. Phosphorus metabolism of fish was calculated by a balanced bioenergetics model on the basis of fish diet, growth and water temperature. 3. The fish showed several shifts from planktivory to other food sources during the sampling period from May to September. These shifts were probably caused by the seasonal succession of the zooplankton community, mainly the midsummer decline of Daphnia galeata. 4. The diet shifts in fish also had consequences for the amount of P consumed and released. During periods of dominant zooplanktivory, the excretion of P did not exceed the removal of P stored in pelagic prey. By contrast, if benthivory dominated, fish subsidized the pelagic P pool by excreting more P from benthic prey than had been removed from the pelagic area. This occurred predominantly in perch and ruffe during periods of low zooplankton biomass, whereas the roach ate more algae and therefore excreted less P of benthic origin. 5. Phosphorus release by underyearling fish was estimated at a maximum of 0.1 mg m^–3 JY day^–1. This value was negligible compared with both the external load of P to Bautzen reservoir and the concentration of P in the pelagic area during summer. It is therefore concluded that both the predominance of underyearling zooplanktivorous fish and the high Daphnia biomass during certain periods of the year in the Bautzen reservoir may be the reason that nutrient release by the fish structured the foodweb only marginally. 6. This study suggests that biomanipulation has altered both top-down and bottom-up impacts of fish in Bautzen reservoir. The highest efficiency of foodweb manipulations may be obtained after reduction of the external P loading below a certain threshold. In turn, if external restoration of eutrophied lakes is not accompanied by changes in fish community, then the combined forces of strong zooplanktivory and high P recycling of dense stocks of zooplanktivorous and benthivorous fish may hold the water in a eutrophic-like stage, even if external load has been significantly reduced.     

Life history of Daphnia galeata in a hypertrophic reservoir and consequences of non-consumptive mortality for the initiation of a midsummer decline

SUMMARY 1. Field and laboratory investigations were combined in a 2‐year study on the initiation of a midsummer decline of Daphnia galeata Sars in a hypertrophic reservoir. Quantitative field samples were taken twice a week, and, adult and juvenile mortality rates were calculated. Patterns of reproduction and survival of daphnids born during spring and early summer under fluctuating food conditions were determined in life‐table experiments. 2. The abundance of Daphnia increased strongly in early May and declined in June 1998 (midsummer decline). In 1999, Daphnia density increased only slowly in spring and remained constantly high throughout the summer. 3. Food conditions (concentrations of POC_{<30 μm}) for daphnids deteriorated in both years in response to increasing Daphnia densities, resulting in a clear‐water phase of about 4 weeks. When Daphnia abundance declined in 1998, POC_{<30 μm} concentrations increased greatly, whereas in 1999 food conditions improved only slightly and Secchi depth remained high. 4. Survival of daphnids in life‐table experiments decreased greatly after food became rare and was strongly reduced in those animals born during the clear‐water phase compared with those born later. In addition, age at first reproduction was retarded during the clear‐water phase, resulting in very low population growth rates. Survivorship patterns in life‐table experiments suggest a strong impact of non‐consumptive mortality on Daphnia population dynamics. 5. Field data of mortality point to differences in mortality patterns between years, probably resulting from different predation impacts of juvenile fish. In both years, however, adult mortality contributed substantially to overall mortality at the end of the clear‐water phase. As bottom‐up effects on D. galeata were very similar in both years, the significance of non‐consumptive mortality on the initiation of midsummer declines appears to depend largely on recruitment patterns before the clear‐water phase. A high impact can be expected when Daphnia populations are dominated by a peak cohort of nearly identical age during the clear‐water phase.     

Mice expressing mutant myosin heavy chains are a model for familial hypertrophic cardiomyopathy.

BACKGROUND: Familial hypertrophic cardiomyopathy (HCM) is an autosomal dominant disease characterized by ventricular hypertrophy, myocellular disarray, arrhythmias, and sudden death. Mutations in several contractile proteins, including cardiac myosin heavy chains, have been described in families with this disease, leading to the hypothesis that HCM is a disease of the sarcomere. MATERIALS AND METHODS: A mutation in the myosin heavy chain (Myh) predicted to interfere strongly with myosin's binding to actin was designed and used to create an animal model for HCM. Five independent lines of transgenic mice were produced with cardiac-specific expression of the mutant Myh. RESULTS: Although the mutant Myh represents a small proportion (1-12%) of the heart's myosin, the mice exhibit the cardiac histopathology seen in HCM patients. Histopathology is absent from the atria and primarily restricted to the left ventricle. The line exhibiting the highest level of mutant Myh expression demonstrates ventricular hypertrophy by 12 weeks of age, but the further course of the disease is strongly affected by the sex of the animal. Hypertrophy increases with age in female animals while the hearts of male show severe dilation by 8 months of age, in the absence of increased mass. CONCLUSIONS: The low levels of the transgene protein in the presence of the phenotypic features of HCM suggest that the mutant protein acts as a dominant negative. In addition, the distinct phenotypes developed by aging male or female transgenic mice suggest that extragenic factors strongly influence the development of the disease phenotype.     

A model of microbial contamination of a water reservoir

A three year record of daily fecal coliform counts in a Massachusetts water reservoir has the appearance of an irregular time series punctuated by outbursts of varying duration. The pattern is described in terms of a probabilistic model where the fluctuations in the ‘regular’ and ‘explosive’ regimes are governed by two sets of probabilities. It has been assumed that the random oscillations has a lognormal distribution, and that once an explosion threshold has been exceeded the increments or decrements in the population size have fixed probability distributions. The threshold for triggering an outburst was estimated by examining the randomness of the autocorrelation function of the record after it is filtered to eliminate peaks of progressively increasing magnitude. Once the threshold has been identified, the mean and standard deviation of the underlying lognormal distribution could be estimated directly from remains found in the record after all the peaks were removed. The probabilities of an increment and decrement during the outbursts and their relative magnitudes could also be estimated using simple formulas. These estimated parameter values were then used to generate realistic records with known threshold levels, which were subsequently used to assess the procedure’s feasibility and sensitivity.     

A model for restriction fragment length distributions.

We develop here a model for restriction fragment length distributions based on DNA dimer frequencies in humans. Mean fragment lengths are computed for known restriction enzymes. This model is tested using data from the hybridization of a series of arbitrary single-copy DNA probes screened with a set of restriction enzymes. The fit to the model appears good. We apply the model to the problem of how much DNA is scanned by a set of enzymes. This result is then further applied to optimizing the search for insertion/deletion DNA-polymorphisms.     

Gender and aging in a transgenic mouse model of hypertrophic cardiomyopathy

Mutations in the cardiac myosin heavy chain (MHC) can cause familial hypertrophic cardiomyopathy (FHC). A transgenic mouse model has been developed in which a missense (R403Q) allele and an actin-binding deletion in the alpha-MHC are expressed in the heart. We used an isovolumic left heart preparation to study the contractile characteristics of hearts from transgenic (TG) mice and their wild-type (WT) littermates. Both male and female TG mice developed left ventricular (LV) hypertrophy at 4 mo of age. LV hypertrophy was accompanied by LV diastolic dysfunction, but LV systolic function was normal and supranormal in the young TG females and males, respectively. At 10 mo of age, the females continued to present with LV concentric hypertrophy, whereas the males began to display LV dilation. In female TG mice at 10 mo of age, impaired LV diastolic function persisted without evidence of systolic dysfunction. In contrast, in 10-mo-old male TG mice, LV diastolic function worsened and systolic performance was impaired. Diminished coronary flow was observed in both 10-mo-old TG groups. These types of changes may contribute to the functional decompensation typically seen in hypertrophic cardiomyopathy. Collectively, these results further underscore the potential utility of this transgenic mouse model in elucidating pathogenesis of FHC.