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PubMed1983

Age structure in predator-prey systems: intraspecific carnivore interaction, passive diffusion, and the paradox of enrichment.

An existing arthropod predator-prey model incorporating age structure in the carnivore through the use of the von Foerster equation is extended to include the effects of intraspecific carnivore interaction and passive diffusion or migration. A linear stability analysis of the community equilibrium point of that differential-integral equation system is performed and the resulting secular equation analyzed by the method of D-partitions. These stability results are then compared to those obtained by employing an analogous differential equation model without age structure, in particular as they relate to the so-called paradox of enrichment. In the absence of passive diffusion, it is shown that, unlike for a differential equation model, the paradox of enrichment can occur even with a carnivore which exhibits intraspecific competition. This destabilizing effect of age structure is seen to occur most dramatically when interspecific interactions are large, while the effect of passive diffusion is to offset that tendency and restabilize the system. These predictions are in accordance with relevant experimental evidence involving mites.

Aging↗
PubMed1999

[Experimental stability of a new implant-free fixation technique in ACL replacement].

The purpose of the study is to establish data on the stability of an ACL replacement. In 40 human cadaver knees, either a mid patellar ligament third with a trapezoid bone block on one side was fixed on the femoral side in a 2-diameter drill hole, or a conventional interference screw fixation was applied. Average primary stability amounted to 570 N (+/- 100 N) for the bone-blocking technique, and to 402 N ( +/- 79 N) for the interference screw fixation. When statistically tested by variance analysis, stability was significantly higher for the bone blocking technique than with interference screw fixation (p < 0.05). Thus, when using a mid-patellar ligament third for ACL reconstruction, the new implant-free technique described here appears to be a practical and reliable method for femoral graft fixation.

Adult↗
PubMed2000

Recombinant polioviruses expressing hepatitis B virus-specific cytotoxic T-lymphocyte epitopes.

T-cell immune response to recombinant poliovirus expressing foreign antigens has not been elucidated well. In order to investigate the potential use of poliovirus as a T-cell vaccine vector, we constructed recombinant polioviruses expressing HBV-derived CTL epitopes, HBsAg(28-39) (L(d)-restricted; IPQSLDSWWTSL) and HBc(93-100) (K(b)-restricted; MGLKFRQL) at the junction between the P2 and P3 regions, designated V3CDs and V3CDc, respectively. The V3CDs and V3CDc recombinant viruses replicated efficiently in HeLa cells and showed a similar infection profile to that of the wild-type Mahoney strain in one-step growth kinetics. Genetic stability analysis showed that V3CDc retained the foreign insert over twelve successive passages examined, whereas V3CDs lost part of the foreign insert after four passages. Our results indicated that the stability of the inserted foreign sequences was rather affected by their nucleotide sequence than by their length when located between the P2 and P3 regions. The junction between these nonstructural protein-coding regions is a novel site for the construction of replication-competent recombinant poliovirus. Immunization of BALB/c (H-2(d)) and C57BL/6 mice (H-2(b)) with V3CDs and V3CDc, respectively, elicited significant antigen-specific CTL responses to HBsAg(28-39) but not to HBcAg(93-100).

Amino Acid Sequence↗
PubMed2003

Period responses to Zeitgeber signals stabilize circadian clocks during entrainment.

Circadian clocks with characteristic period (tau) can be entrained to light/dark (LD) cycles by means of(i) phase shifts which are due to D/L "dawn" and/or L/D "dusk" transitions, (ii) period changes associated with long-term light exposure, or (iii) by combinations of the above possibilities. Based on stability analysis of a model circadian clock it was predicted that nocturnal burrowing mammals would benefit less from period responses than their diurnal counterparts. The model further predicted that maximal stability of circadian clock is reached when the clock slightly changes both its phase and period in response to light stimuli. Analyses of empirical phase response curve (PRC) and period response curve (tauRC) of some diurnal and nocturnal mammals revealed that PRCs of both diurnal and nocturnal mammals have similar waveform while tauRCs of nocturnal mammals are of smaller amplitude than those of diurnal mammals. The shape of the tauRC also changes with age and with increasing strength of light stimuli. During erratic fluctuations in light intensity under different weather conditions, the stability of phase of entrainment of circadian clocks appears to be achieved by an interplay between phase and period responses and the strength of light stimuli.

Animals↗
PubMedDate not supplied

Relation between the longitudinal development of personality characteristics and biological and lifestyle risk factors for coronary heart disease.

OBJECTIVE: This study was undertaken to assess the stability of personality characteristics (ie, inadequacy, rigidity, dominance, self-sufficiency, and social inadequacy) over a 15-year period covering adolescence and young adulthood and to analyze the longitudinal relationships between personality characteristics and both biological (ie, lipoproteins, blood pressure, and body fatness) and lifestyle (ie, physical activity, dietary intake, smoking, and alcohol consumption) risk factors for coronary heart disease (CHD). METHODS: The data were derived from the Amsterdam Growth and Health Study, an observational longitudinal study in which, over a period from 13 to 27 years of age, six repeated measurements were performed on 181 subjects. Both the stability analysis and the analysis of the longitudinal relationships were performed by generalized estimating equations (GEE). This method is suitable for both continuous and dichotomous outcome variables, by using all available longitudinal data. RESULTS: Stability coefficients for the personality characteristics varied between 0.39 for self-sufficiency and dominance and 0.53 for social inadequacy. Self-sufficiency was inversely related to total serum cholesterol (only male subjects) and body fatness; inadequacy was inversely related to systolic blood pressure. Dominance (female subjects) was positively related to body fatness and social inadequacy (male subjects) was positively related to total serum cholesterol. Furthermore, inadequacy was positively related to smoking behavior. Social inadequacy and rigidity were inversely related to smoking behavior. Self-sufficiency was inversely related to alcohol consumption. CONCLUSIONS: Over a period of 15 years, personality characteristics showed marginal stability. Weak relationships were found between personality characteristics and both biological and lifestyle CHD risk factors.

Adolescent↗
PubMed2002

Faraday instability on viscous ferrofluids in a horizontal magnetic field: oblique rolls of arbitrary orientation.

A linear stability analysis of the free surface of a horizontally unbounded ferrofluid layer of arbitrary depth subjected to vertical vibrations and a horizontal magnetic field is performed. A nonmonotonic dependence of the stability threshold on the magnetic field is found at high frequencies of the vibrations. The reasons for the decrease of the critical acceleration amplitude caused by a horizontal magnetic field are discussed. It is revealed that the magnetic field can be used to select the first unstable pattern of Faraday waves. In particular, a rhombic pattern as a superposition of two different oblique rolls can occur. A scaling law is presented which maps all data into one graph for the tested range of viscosities, frequencies, magnetic fields, and layer thicknesses.

Journal Article↗
PubMed1998

Resonance frequency analysis: measuring implant stability and osseointegration.

Achievement and maintenance of implant stability are prerequisites for long-term positive outcomes for osseointegrated implants. Thus, implant stability is the key to clinical success. Until recently, it was not possible for the clinician to predictably distinguish implants with different degrees of stability. Because there seems to be a correlation between implant failure and bone properties, it is possible that clinically firms implants with poor stability are more prone to failure than more stable implants. This article discusses the development and possible future use of a novel technique for clinical measurement of implant stability and osseointegration--resonance frequency analysis.

Dental Implantation, Endosseous↗
PubMed1983

Localized bacterial infection in a distributed model for tissue inflammation.

Phagocyte motility and chemotaxis are included in a distributed mathematical model for the inflammatory response to bacterial invasion of tissue. Both uniform and non-uniform steady state solutions may occur for the model equations governing bacteria and phagocyte densities in a macroscopic tissue region. The non-uniform states appear to be more dangerous because they allow large bacteria densities concentrated in local foci, and in some cases greater total bacteria and phagocyte populations. Using a linear stability analysis, it is shown that a phagocyte chemotactic response smaller than a critical value can lead to a non-uniform state, while a chemotactic response greater than this critical value stabilizes the uniform state. This result is the opposite of that found for the role of chemotaxis in aggregation of slimemold amoebae because, in the inflammatory response, the chemotactic population serves as an inhibitor rather than an activator. We speculate that these non-uniform steady states could be related to the localized cell aggregation seen in chronic granulomatous inflammation. The formation of non-uniform states is not necessarily a consequence of defective phagocyte chemotaxis, however. Rather, certain values of the kinetic parameters can yield values for the critical chemotactic response which are greater than the normal response. Numerical computations of the transient inflammatory response to bacterial challenge are presented, using parameter values estimated from the experimental literature wherever possible.

Animals↗
PubMed2005

Cancer self remission and tumor stability-- a stochastic approach.

The paper aims to express the spontaneous regression and progression of a malignant tumor system as a prey--predator like system. The model is a three dimensional deterministic system, consisting of tumor cells, hunting predator cells and resting predator cells. Local stability analysis is performed along with numerical simulations to support the analytical findings. Moreover, the deterministic model is extended to a stochastic one allowing random fluctuations around the positive interior equilibrium. The stochastic stability properties of the model are investigated both analytically and numerically. The thresholds obtained from our study may be helpful to control the malignant tumor growth.

Humans↗
PubMed2002

Symmetry-breaking instability in a prototypical driven granular gas.

Symmetry-breaking instability of a laterally uniform granular cluster (strip state) in a prototypical driven granular gas is investigated. The system consists of smooth hard disks in a two-dimensional box, colliding inelastically with each other and driven, at zero gravity, by a "thermal" wall. The limit of nearly elastic particle collisions is considered, and granular hydrodynamics with the Jenkins-Richman constitutive relations is employed. The hydrodynamic problem is completely described by two scaled parameters and the aspect ratio of the box. Marginal stability analysis predicts a spontaneous symmetry-breaking instability of the strip state, similar to that predicted recently for a different set of constitutive relations. If the system is big enough, the marginal stability curve becomes independent of the details of the boundary condition at the driving wall. In this regime, the density perturbation is exponentially localized at the elastic wall opposite the thermal wall. The short- and long-wavelength asymptotics of the marginal stability curves are obtained analytically in the dilute limit. The physics of the symmetry-breaking instability is discussed.

Journal Article↗
PubMed2002

Breathers in a discrete nonlinear Schrödinger-type model: Exact stability results.

Following our earlier work [Phys. Rev. Lett. 84, 3570 (2000)] we present an exact linear stability analysis of one-site monochromatic breathers in a piecewise smooth discrete nonlinear Schrödinger-type model. Destabilization of the breather occurs by virtue of a growth rate becoming positive as a stability border is crossed, while above a critical spatial decay rate (lambda(c)) the breather is found to be intrinsically unstable. The model admits of other exact breather solutions, including multisite monochromatic breathers for which the profile variable (phi(n)) crosses a relevant threshold at more than one site. In particular, we consider exact two-site breather solutions with phase difference delta between the two sites above threshold, and present stability results for delta=pi (antiphase breather; the in-phase breather with delta=0 happens to be intrinsically unstable). We obtain a band of extended eigenmodes, together with a pair of localized symmetric modes and another pair of localized antisymmetric ones. The frequencies of the localized modes vary as the parameters characterizing the breather are made to vary, and destabilization occurs through the Krein collision of a quartet of growth rates, leading to temporal growth of a pair of symmetric eigenmodes of nonzero frequency. We clarify the limit N--> infinity (N is the gap length between the sites above threshold) when the two-site breather reduces to a pair of decoupled one-site breathers. The model offers the possibility of obtaining spatially random vortex-type breathers.

Journal Article↗
PubMed2003

A robust subspace algorithm for principal component analysis.

We present a noise robust PCA algorithm which is an extension of the Oja subspace algorithm and allows tuning the noise sensitivity. We derive a loss function which is minimized by this algorithm and interpret it in a noisy PCA setting. Results on the local stability analysis of this algorithm are given and it is shown that the locally stable equilibria are those which minimize the loss function.

Algorithms↗
PubMed2001

Linear and nonlinear analysis of the stability of gestural organization in speech movement sequences.

Recent procedures have been developed that allow the analysis of gestural stability across repetitions of phrase-length utterances by linearly normalizing aspects of the articulatory signal. This process produces an index of variability called spatiotemporal index, or STI (Smith, Goffman, Zelaznik, Ying, & McGillem, 1995). Consistent findings that different STIs underlie changes in speaking rates in normally speaking adults have been found in subsequent studies by Smith and colleagues. However some researchers have raised concerns that linearly normalized data do not adequately account for the nonlinear aspects in the articulatory signal (Lucero, Munhall, Gracco, & Ramsey, 1997). The present study compared findings from linear and nonlinear normalization procedures in the analysis of lower-lip displacement of phrase-length utterances for a group of 8 speakers and across three rates. Findings indicated that at a group level, gestural stability, although higher for each rate contingency, was similar to that found in earlier STI studies. However, variability was greater, and 4 of the 8 subjects failed to consistently demonstrate greater stability at habitual rate, followed by fast and then slow rate. A nonlinearly normalized analysis of the same data produced significantly lower stability indices, and variability was also reduced. It is argued that a nonlinear normalization procedure based on lower-lip displacement holds advantages in the analysis of phrase-length speech data over both linear and alternative nonlinear normalization techniques.

Adolescent↗
PubMed2000

Investigation of the chemical stability of an erythromycin-tretinoin lotion by the use of an optimization system.

A combination of 2% erythromycin and 0.05% tretinoin in an alcohol-isopropanol lotion was prepared. Two parameters were investigated for their influence on the stability of erythromycin and/or tretinoin, namely pH and the concentration of butylhydroxytoluene (BHT) as antioxidant. To investigate these two parameters, an optimization technique was used with two factors (pH and concentration of BHT) at two levels. Accelerated stability analysis was performed at 45 degrees C in the dark to exclude isomerization of tretinoin. To analyse erythromycin and tretinoin in the combination preparation, a TLC method, previously developed in the laboratory, was used. The degradation of erythromycin seemed to be much faster than the tretinoin degradation. Optimal stability is shown in the pH range of 8.2-8.6 for erythromycin and 7.2-8.2 for tretinoin while the concentration of BHT had no significant influence.

Anti-Bacterial Agents↗
PubMed2004

Increased glutathione S-transferase P1-1 expression by mRNA stabilization in hemin-induced differentiation of K562 cells.

GSTP1-1 gene expression mechanisms were investigated in hemin-induced erythroid differentiation of K562 cells. Hemoglobin production during differentiation was followed by a significant increase in GSTP1-1 mRNA (1.7-fold, P < 0.01) and protein (1.2-fold, P < 0.01) after 4 days of induction. This increase in mRNA production was not due to transcriptional up-regulation by GATA-1 previously shown to regulate GSTP1-1 during erythroid and megakaryocytic differentiation. Moreover, a drastic decrease in differentiation-specific GATA-1 mRNA expression was correlated to a reduction in GATA-1 promoter binding activity. Neither AP-1 nor NF-kappaB transcription factor binding activities could provide an explanation to the GSTP1-1 mRNA overexpression in hemin-treated cells. GSTP1-1 mRNA stability analysis using actinomycin D as an inhibitor of mRNA neosynthesis showed that mRNA half-life was doubled in hemin-induced erythroid differentiation of K562 cells. These results allow us to add stabilization of GSTP1-1 mRNA as a novel regulatory mechanism during hemin-mediated differentiation of K562 cells.

Acyltransferases↗
PubMed1995

Nonlinear dynamical analysis of turbulence in a stable cloud layer.

An eight mode truncated spectral model based on Burgers' approximation to the one-dimensional Navier-Stokes equations is used to compute the Lyapunov dimension of the dynamical attractor for turbulence in a stable cloud layer. The model results are compared with the correlation dimension obtained earlier from a time series of radar Doppler and reflectivity signals from a turbulent layer in a marine stratus cloud. The analysis supports a weak coupling explanation for the lower correlation dimension found for the reflectivity time series compared with that for the Doppler time series. Turbulent Prandtl number emerges from the analysis as a flow parameter which can enlarge the dimension of the model's dynamical attractor, but the attractor dimension computed for the model remains lower than the radar Doppler correlation dimension. Linear stability analysis of the model's equilibrium states suggests that a nontruncated version of the model will possess an attractor which is also of lower dimension than the radar Doppler correlation dimension. (c) 1995 American Institute of Physics.

Journal Article↗
PubMed2006

The roles of substrate thermal stability and P2 and P1' subsite identity on matrix metalloproteinase triple-helical peptidase activity and collagen specificity.

The hydrolysis of collagen (collagenolysis) is one of the committed steps in extracellular matrix turnover. Within the matrix metalloproteinase (MMP) family distinct preferences for collagen types are seen. The substrate determinants that may guide these specificities are unknown. In this study, we have utilized 12 triple-helical substrates in combination with 10 MMPs to better define the contributions of substrate sequence and thermal stability toward triple helicase activity and collagen specificity. In general, MMP-13 was found to be distinct from MMP-8 and MT1-MMP(Delta279-523), in that enhanced substrate thermal stability has only a modest effect on activity, regardless of sequence. This result correlates to the unique collagen specificity of MMP-13 compared with MMP-8 and MT1-MMP, in that MMP-13 hydrolyzes type II collagen efficiently, whereas MMP-8 and MT1-MMP are similar in their preference for type I collagen. In turn, MMP-1 was the least efficient of the collagenolytic MMPs at processing increasingly thermal stable triple helices and thus favors type III collagen, which has a relatively flexible cleavage site. Gelatinases (MMP-2 and MMP-9(Delta444-707)) appear incapable of processing more stable helices and are thus mechanistically distinct from collagenolytic MMPs. The collagen specificity of MMPs appears to be based on a combination of substrate sequence and thermal stability. Analysis of the hydrolysis of triple-helical peptides by an MMP mutant indicated that Tyr(210) functions in triple helix binding and hydrolysis, but not in processing triple helices of increasing thermal stabilities. Further exploration of MMP active sites and exosites, in combination with substrate conformation, may prove valuable for additional dissection of collagenolysis and yield information useful in the design of more selective MMP inhibitors.

Amino Acid Sequence↗
PubMed1992

Characterization of the stabilizing effect of point mutations of pyruvate oxidase from Lactobacillus plantarum: protection of the native state by modulating coenzyme binding and subunit interaction.

Point mutations in the gene of pyruvate oxidase from Lactobacillus plantarum, with proline residue 178 changed to serine, serine 188 to asparagine, and alanine 458 to valine, as well as a combination of the three single point mutations, lead to a significant functional stabilization of the protein. The enzyme is a tetrameric flavoprotein with tightly bound cofactors, FAD, TPP, and divalent metal ions. Thus, stabilization may be achieved either at the level of tertiary or quaternary interactions, or by enhanced cofactor binding. In order to discriminate between these alternatives, unfolding, dissociation, and cofactor binding of the mutant proteins were analyzed. The point mutations do not affect the secondary and tertiary structure, as determined by circular dichroism and protein fluorescence. Similarly, the amino acid substitutions neither modulate the enzymatic properties of the mutant proteins nor do they stabilize the structural stability of the apoenzymes. This holds true for both the local and the global structure with unfolding transitions around 2.5 M and 5 M urea, respectively. On the other hand, deactivation of the holoenzyme (by urea or temperature) is significantly decreased. The most important stabilizing effect is caused by the Ala-Val exchange in the C-terminal domain of the molecule. Its contribution is close to the value observed for the triple mutant, which exhibits maximum stability, with a shift in the thermal transition of ca. 10 degrees C. The effects of the point mutations on FAD binding and subunit association are interconnected. Because FAD binding is linked to oligomerization, the stability of the mutant apoenzyme-FAD complexes is increased. Accordingly, mutants with maximum apparent FAD binding exhibit maximum stability. Analysis of the quaternary structure of the mutant enzymes in the absence and in the presence of coenzymes gives clear evidence that both improved ligand binding and subunit interactions contribute to the observed thermal stabilization.

Alanine↗