Search PubMed⌕ Search

SEARCH · Search PubMed

Results for “Stability analysis”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 523 records · Page 29Linked to original sources

[Magnetic resonance analysis of the subscapularis muscle after open anterior shoulder stabilization].

PURPOSE: Analysis of the magnetic resonance imaging of the subscapularis musculotendinous unit (SSC) after primary and revision open shoulder stabilization and their correlation with the clinical function. MATERIALS AND METHODS: In a retrospective cohort study, 13 patients (mean age of group A: 36.5 years) after primary and 12 (mean age of group B: 34.2 years) after revision open stabilization underwent postoperative MRI of the shoulder. The digital data was analyzed with respect to the vertical und transverse diameters (V[slashed circle], T[slashed circle]) in a defined image slice. A signal intensity analysis was performed (infraspinatus/subscapularis signal-to-noise ratio = ISP/SSC SNR). The clinical examination included the SSC tests and signs and the Constant and Rowe score. Twelve healthy volunteers (group C) served as the control. RESULTS: From group C to group B, the mean V[slashed circle] of the SSC decreased significantly (p < 0.05) as did the mean T[slashed circle] of the cranial part of the SSC muscle (= crSSC) (p < 0.05). The mean T[slashed circle] of the caudal part of the SSC muscle (= caSSC) did not differ significantly between all groups (p > 0.05). The ISP-SSC SNR was significantly lower (p < 0.05) in the crSSC of groups A und B than in group C. In the caSSC, the SNR increased in groups A and B. In 53.8 % of group A and 92.3 % of group B, clinical signs of SSC insufficiency were found. There was no significant difference between the Constant and the Rowe score in both groups (p > 0.05). Complete tendon ruptures were not observed in any case. CONCLUSIONS: MRI enables semi-quantitative analysis of the postoperative changes of the subscapularis muscle. The decrease of the ISP/SSC SNR points to a fatty degeneration in the crSSC. The results provide indications of the causes of the clinical dysfunction of the subscapularis musculotendinous unit after open shoulder stabilization.

Adult↗

Polarization coupling and pattern selection in a type-II optical parametric oscillator.

We study the role of a direct intracavity polarization coupling in the dynamics of transverse pattern formation in type-II optical parametric oscillators. Transverse intensity patterns are predicted from a stability analysis, numerically observed, and described in terms of amplitude equations. Standing wave intensity patterns for the two polarization components of the field arise from the nonlinear competition between two concentric rings of unstable modes in the far field. Close to threshold a wavelength is selected leading to standing waves with the same wavelength for the two polarization components. Far from threshold the competition stabilizes patterns in which two different wavelengths coexist.

Journal Article↗

Physico-chemical properties, analytical determinations and stability of sertaconazole nitrate.

Sertaconazole nitrate, the nitrate salt of 7-chloro-3-[1-(2,4-dichlorophenyl)-2-(1H-imidazol-1-yl)ethoxy-methyl] benzo[b]thiophene (sertaconazole, FI-7045, CAS 99592-32-2), is a new azole antifungal, which has proved to have a wide spectrum and high activity. This paper describes its physico-chemical properties, structural identification including polymorphism, detection of impurities, determination of related compounds, separation, quantification and purity assays using high-performance liquid chromatography (HPLC) and quantitative assays specially elemental and functional analysis. Stability of sertaconazole nitrate in solid form under accelerated (light, humidity and temperature) and real time conditions and in suspension form at different pH values (acid and basic) was also studied. The results show that sertaconazole nitrate is extremely stable under all the conditions tested, both in solid and in suspension form. Sertaconazole nitrate in solid form packaged in tight sealed amber glass bottles was stable for over 5 years under normal storage conditions.

Antifungal Agents↗

Cotransfer and phenotypic stabilisation of syntenic and asyntenic mink genes into mouse cells by chromosome-mediated gene transfer.

By means of metaphase chromosomes, the genes for mink thymidine kinase (TK) and hypoxanthine-phosphoribosyltransferase (HPRT) were transferred to mutant mouse cells, LMTK-, A9 (HPRT-) and teratocarcinoma cells, PCC4-aza 1 (HPRT-). Eighteen colonies were isolated from LMTK- (series A), 9 from A9 (series B) and none from PCC4-aza 1. The transformed clones contained mink TK or HPRT. Analysis of syntenic markers in series B demonstrated that one clone contained mink glucose-6-phosphate dehydrogenase (G6PD) and the other alpha-galactosidase; in series A, nine clones contained mink galactokinase (GALK) and six mink aldolase C (ALDC). Analysis of 12 asyntenic markers located in ten mink chromosomes showed the presence of only aconitase-1 (ACON1) (the marker of mink chromosome 12) in three clones of series A. The clones lost mink ACON1 between the fifth to tenth passages. Cytogenetic analysis established the presence of a fragment of mink chromosome 8 in eight clones of series A, but not in series B. The clones of series A lost mink TK together with mink GALK and ALDC during back-selection; in B, back-selection retained mink G6PD. No stable TK+ phenotype was detected in clones with a visible fragment of mink chromosome 8. Stability analysis demonstrated that about half of the clones of series B have stable HPRT+ phenotype whereas only three clones of series A have stable TK+ phenotype. It is suggested that the recipient cells, LMTK- and A9, differ in their competence for genetic transformation and integration of foreign genes.

Animals↗

Electroconvective instability in concentration polarization and nonequilibrium electro-osmotic slip.

This paper concerns the comparison of electroconvective instability in concentration polarization at an ion-selective membrane with previously reported nonequilibrium electro-osmotic instability. Electro-osmotic formulation represents an asymptotic limit case of the electroconvective one. An improved nonequilibrium electro-osmotic slip formula is derived. Linear stability analysis for various nonequilibrium electro-osmotic formulations is carried out, including the analytic studies of the short- and long-wave limits. The obtained results are compared with those for a full electroconvective formulation. It is observed that the shortwave singularity typical for the nonequilibrium electro-osmotic instability is removed in the full electroconvective formulation. The effect of ionic diffusivities ratio on stability is discussed.

Journal Article↗

Modelling thin-film dewetting on structured substrates and templates: bifurcation analysis and numerical simulations.

We study the dewetting process of a thin liquid film on a chemically patterned solid substrate (template) by means of a thin-film evolution equation incorporating a space-dependent disjoining pressure. Dewetting of a thin film on a homogeneous substrate leads to fluid patterns with a typical length scale, that increases monotonously in time (coarsening). Conditions are identified for the amplitude and periodicity of the heterogeneity that allow to transfer the template pattern onto the liquid structure ("pinning") emerging from the dewetting process. A bifurcation and stability analysis of the possible liquid ridge solutions on a periodically striped substrate reveal parameter ranges where pinning or coarsening ultimately prevail. We obtain an extended parameter range of multistability of the pinning and coarsening morphologies. In this regime, the selected pattern depends sensitively on the initial conditions and potential finite perturbations (noise) in the system as we illustrate with numerical integrations in time. Finally, we discuss the instability to transversal modes leading to a decay of the ridges into rows of drops and show that it may diminish the size of the parameter range where the pinning of the thin film to the template is successful.

Biomedical Engineering↗

Qualms regarding the range of validity of the glansdorff-prigogine criterion for stability of non-equilibrium States.

Doubt is raised concerning the range of validity of a stability criterion for non-equilibrium states which has been proposed by Glansdorff and Prigogine. In the case of a particular autocatalytic reaction, the stability analysis presented by Glansdorff and Prigogine, and by Eigen and by Katchalsky in their reviews of this problem, does not agree with our analysis, which is based upon exact solution of the relevant rate equations. We also find disagreement between the analysis based upon the Glansdorff-Prigogine criterion and our analysis of a second example which involves non-equilibrium steady states. The situation is quite delicate because seemingly innocent approximations (e.g., the use of specialized conditions in the autocatalytic reaction X + Y right arrow over left arrow 2X discussed in the sequel) may lead to the impression that the scope of validity of the criterion is wider than it actually is. By considering the stability of the equilibrium state, we conclude that the second differential of the entropy, which is at the heart of the Glansdorff-Prigogine criterion, is likely to be relevant for stability questions close to equilibrium only.

Journal Article↗

Predicting regulation of the phosphorylation cycle of KaiC clock protein using mathematical analysis.

Abstract The cyanobacterial clock protein KaiC regulates the circadian cycle by exhibiting rhythms in transcription, translation, and phosphorylation. KaiC phosphorylation persists in circadian cycling even under transcription-less conditions and was reconstituted in vitro by incubating KaiC, KaiA, and KaiB. This presents a novel perspective for circadian oscillation occurring due to interactions between clock proteins. Using mathematical models, the authors investigated the mechanism for the transcription-less KaiC phosphorylation cycle. They developed a simple model based on the possible KaiC behavior, which is experimentally suggested by Kitayama et al. (2003, EMBO J, 22:2127-2134). They hypothesized that the KaiC-KaiA complex formation, followed by a decrease in free KaiA molecules, may attenuate the KaiC phosphorylation rate, and it acts as negative feedback in the system. However, this model was shown not to be adequate to generate the KaiC phosphorylation cycle. The authors developed the general version of the model and determined the necessary condition to generate the KaiC phosphorylation cycle. Linear stability analysis revealed that oscillations can occur when the distance of feedback between the recipient reaction and the effector is far enough. Furthermore, they classified negative feedback regulations in the closed system into 2 types: destabilizing inhibition and stabilizing inhibition. Based on this result, the authors predicted that, in addition to the identified states of KaiC, another unknown state must be present between KaiC phosphorylation and the complex formation. By incorporating the unknown state into the previous model, they realized the periodic pattern reminiscent of the KaiC phosphorylation cycle in computer simulation. This result implies that the KaiC-KaiA complex formation requires more than 1 step of posttranslational modification, including phosphorylation or conformational change of KaiC.

Algorithms↗

A mathematical model for assessing control strategies against West Nile virus.

Since its incursion into North America in 1999, West Nile virus (WNV) has spread rapidly across the continent resulting in numerous human infections and deaths. Owing to the absence of an effective diagnostic test and therapeutic treatment against WNV, public health officials have focussed on the use of preventive measures in an attempt to halt the spread of WNV in humans. The aim of this paper is to use mathematical modelling and analysis to assess two main anti-WNV preventive strategies, namely: mosquito reduction strategies and personal protection. We propose a single-season ordinary differential equation model for the transmission dynamics of WNV in a mosquito-bird-human community, with birds as reservoir hosts and culicine mosquitoes as vectors. The model exhibits two equilibria; namely the disease-free equilibrium and a unique endemic equilibrium. Stability analysis of the model shows that the disease-free equilibrium is globally asymptotically stable if a certain threshold quantity (R0), which depends solely on parameters associated with the mosquito-bird cycle, is less than unity. The public health implication of this is that WNV can be eradicated from the mosquito-bird cycle (and, consequently, from the human population) if the adopted mosquito reduction strategy (or strategies) can make R0<1. On the other hand, it is shown, using a novel and robust technique that is based on the theory of monotone dynamical systems coupled with a regular perturbation argument and a Liapunov function, that if R0>1, then the unique endemic equilibrium is globally stable for small WNV-induced avian mortality. Thus, in this case, WNV persists in the mosquito-bird population.

Algorithms↗

A mechanism of induction of the mouse zinc-fingers and homeoboxes 1 (ZHX1) gene expression by interleukin-2.

The effect of IL-2 on the expression of the mouse zinc-fingers and homeoboxes 1 (ZHX1) gene was investigated in a mouse cytotoxic T cell line, CTLL-2 cells. IL-2 specifically induced the expression of ZHX1 mRNA. The level of ZHX1 mRNA was decreased in the absence of IL-2. These alterations were in parallel with the status of cell proliferation. The signaling pathways involved in the induction were examined. AG-490, wortmannin, and LY294002 blocked the induction by IL-2. Nuclear run-on assays and a mRNA stability analysis revealed that the half-life of ZHX1 mRNA but not the transcription rate of the gene was increased by IL-2. Thus, we conclude that IL-2 induces the expression of the mouse ZHX1 gene in CTLL-2 cells, that both Janus kinase 3/signal transducer and activator of transcription 5 and phosphoinositide 3-kinase pathways are involved in the induction, and that the increased mRNA stability results in the induction.

Animals↗

Dewetting of thin liquid films near soft elastomeric layers.

Thin liquid film instabilities driven by van der Waals forces and in the proximity of soft elastomeric layers are considered in this work through two model problems: (i) a liquid film resting on an elastomeric layer and (ii) a liquid film bounded from one side by a rigid substrate and from the other side by an elastomeric layer. The elastomeric layers are modeled as linear viscoelastic solids, van der Waals forces are assumed to act only in the liquid, and lubrication theory and linear stability analysis are applied. For a liquid film resting on an elastomeric layer, substrate deformability has a destabilizing effect, as evidenced by an increase in the maximum growth rate and range of unstable wavenumbers. The destabilization worsens for thicker solid layers and is due to a lowering of the effective liquid-air interfacial tension. For an elastomeric layer resting on a liquid film, layer deformability has a stabilizing effect for thin layers but a destabilizing effect for thicker layers, with the former due to an enhancement and the latter due to a reduction of the effective solid-air interfacial tension. The results presented here suggest the possibility of exploiting the dewetting of thin liquid films to create topographically patterned surfaces on soft polymeric solids.

Journal Article↗

Guaranteed robust stability of the closed-loop systems for digital controller implementations via orthogonal hermitian transform.

In this paper, an approach for robust stability analysis of a digital closed-loop system for digital controller implementations subject to finite word length (FWL) effects is proposed. Uncertainties caused by the roundoff and computational errors subject to FWL effects are expressed in function of mantissa bit number when the mode of floating-point arithmetic is used in the process. Then, based on the Small Gain Theorem and the Bellman-Grownwall Lemma, a sufficient stability criterion for the digital closed-loop system is derived. The eigenvalue sensitivity of the closed-loop system is developed in terms of mixed matrix-2/Frobenius norms. Then, by minimizing this eigenvalue sensitivity and using orthogonal Hermitian transform as well, an optimal similarity transformation can be obtained. By substituting this optimal transformation into the stability criterion, a minimum mantissa bit number used for implementing the stabilizing digital controllers can be determined. The main contributions are that this approach provides an analytical closed-form solution for obtaining the optimal transformation and, in addition to the stability criterion, leads to the implementation of the stabilizing controllers with a lower mantissa bit number when using this optimal one. Finally, detailed numerical design processes and simulation results are used to illustrate the effectiveness of the proposed scheme.

Algorithms↗

The Gravitational Stability of the Interface between Two Electrorheological Fluids

The propagation of gravitational waves between two semi-infinite superposed electrorheological fluids is investigated. Criteria for stability in the presence of a vertical or a horizontal electric field are examined. A modified Chandrasekhar transcendental dispersion relation is obtained. Stability analysis is discussed throughout the case of a small dimensionless phase velocity. The influence of the nondimensional parameters on the growth rate of the Rayleigh-Taylor instability is discussed. The behavior of the growth rate with respect to the stratified viscosity, as well as the stratified retardation time in the presence or absence of an electric field, is investigated. It is shown that a vertical electric field retards the stabilizing influence of both the retardation time and the viscosity, while the presence of a tangential field suppresses the destabilizing influence of the stratified density. A mechanism that shields against the destabilizing influence of the vertical electric field is observed. This shielding mechanism is due to viscous and elastic effects.

Journal Article↗

Diagnosis of knee instability using sonography.

OBJECTIVE: A sonographic method has been developed to diagnose knee joint instabilities and to gain exactly quantifiable and reproducible measurements. DESIGN: Based on biomechanical considerations, a new positioning device to analyse knee instabilities sonographically has been developed and tested in in vivo studies. BACKGROUND: Common instrumental testing techniques are difficult to reproduce and show a lack of reliability. METHOD: Using sonography the cortical line of the femur and tibia are observed. At the same time a translation of these two partners at the knee joint is provoked in a defined position using the special holding device and under a defined amount of stress. Using this method 142 healthy people, placed in different age groups, were tested to establish standard values for the physiological knee joint translation. A prearthroscopic stability analysis was performed on 101 patients. RESULTS: This study proves that the special device developed, together with the technique used, provides reliable and exact measurements for knee instability in different translation directions. In healthy subjects the lateral compartment always showed a larger translation than the medial compartment. A gradual increase in translation was determined in the age groups over 30 years. A significant difference of 0.0001 was shown between knee stability and instabilities. Moreover, a further differentiation between partial and total ACL ruptures and chronic instabilities was determined. This provides an important advantage not offered by usual instrumental testing techniques. CONCLUSIONS: The ability to diagnose even a very low extent of instability and to differentiate between different kinds of instabilities enables exact controls to be carried out for both conservative and operative treatment.

Journal Article↗

Using Lyapunov exponents to predict the onset of chaos in nonlinear oscillators.

An analytic technique for predicting the emergence of chaotic instability in nonlinear nonautonomous dissipative oscillators is proposed. The method is based on the Lyapunov-type stability analysis of an arbitrary phase trajectory and the standard procedure of calculating the Lyapunov characteristic exponents. The concept of temporally local Lyapunov exponents is then utilized for specifying the area in the phase space where any trajectory is asymptotically stable, and, therefore, the existence of chaotic attractors is impossible. The procedure of linear coordinate transform optimizing the linear part of the vector field is developed for the purpose of maximizing the stability area in the vicinity of a stable fixed point. By considering the inverse conditions of asymptotic stability, this approach allows formulating a necessary condition for chaotic motion in a broad class of nonlinear oscillatory systems, including many cases of practical interest. The examples of externally excited one- and two-well Duffing oscillators and a planar pendulum demonstrate efficiency of the proposed method, as well as a good agreement of the theoretical predictions with the results of numerical experiments. The comparison of the proposed method with Melnikov's criterion shows a potential advantage of using the former one at high values of dissipation parameter and/or multifrequency type of excitation in dynamical systems.

Journal Article↗

PASHEMOS: a versatile program written in Pascal to simulate patterns on the shells of molluscs, according to the Meinhardt model.

In this paper we describe PASHEMOS, a user-friendly program written in Pascal to solve the Meinhardt-Klingler model numerically. This model studies the shell pattern pigmentation of molluscs. Moreover, PASHEMOS enables theoretical analysis to be performed on the different steady states. The program takes into account the four differential equation systems established in the model. It numerically solves these systems. This program is developed in such a way that both the equation system type and the parameter values can be chosen. The pattern is displayed in each case, and other output possibilities are available (i.e. three-dimensional concentration plotting, phase plane, phase space, stability analysis). The implementation of the program for the case of a three-variable system is shown as an example of PASHEMOS handling. Program applications for other models are also discussed.

Algorithms↗

Independent component analysis using an extended infomax algorithm for mixed subgaussian and supergaussian sources.

An extension of the infomax algorithm of Bell and Sejnowski (1995) is presented that is able blindly to separate mixed signals with sub- and supergaussian source distributions. This was achieved by using a simple type of learning rule first derived by Girolami (1997) by choosing negentropy as a projection pursuit index. Parameterized probability distributions that have sub- and supergaussian regimes were used to derive a general learning rule that preserves the simple architecture proposed by Bell and Sejnowski (1995), is optimized using the natural gradient by Amari (1998), and uses the stability analysis of Cardoso and Laheld (1996) to switch between sub- and supergaussian regimes. We demonstrate that the extended infomax algorithm is able to separate 20 sources with a variety of source distributions easily. Applied to high-dimensional data from electroencephalographic recordings, it is effective at separating artifacts such as eye blinks and line noise from weaker electrical signals that arise from sources in the brain.

Algorithms↗

Convective instability induced by two-points nonlocality.

We consider diffusive nonlinear systems with nonlocal two-points coupling, generally induced by misalignment in optical feedback. We expand the stability analysis in F. Papoff and R. Zambrini [Phys. Rev. Lett. 94, 243903 (2005)] to determine convective and absolute thresholds. Nonlocality leads to different effects in comparison to well-known problems with drift, as the existence of opposite phase and group velocities for some modes and an instability region. The theoretical predictions are in agreement with numerical results in a nonlocal system with saturable nonlinearity over wide parameter regions. The knowledge of the stability diagram for any uniform state allows us to interpret the rich dynamics due to the interplay between finite size, noise, and multiple states.

Journal Article↗