First-passage time in a bistable potential with colored noise

A precise digital simulation of a bistable system under the effect of colored noise is carried out. A set of data for the mean first-passage time is obtained. The results are interpreted and compared with presently available theories, which are revisited following a new insight. Discrepancies that have been discussed in the literature are understood within our framework.

Insight toward the first-passage time in a bistable potential with highly colored noise

The exponential coefficient in the first-passage-time problem for a bistable potential with highly colored noise is predicted to be (8/27 by all existing theories. On the other hand, we show herein that all existing numerical evidence seems to indicate that the coefficient is actually larger by about (4/3, i.e., that the numerical factor in the exponent is approximately (32/81. Existing data cover values of ¿V0/D up to ~20, where V0 is the barrier height, ¿ the correlation time of the noise, and D the noise intensity. We provide an explanation for the modified coefficinet, the explanation also being based on existing numerical simulations. Whether the value (8/27 predicted by all large-¿ theories is achieved for even larger values of ¿V0/D is unknown but appears questionable (except perhaps for enormously large, experimentally inaccessible values of this factor) in view of currently available results.

The Fokker-Planck equation for a bistable potential

The Fokker-Planck equation is studied through its relation to a Schrodinger-type equation. The advantage of this combination is that we can construct the probability distribution of the Fokker-Planck equation by using well-known solutions of the Schrodinger equation. By making use of such a combination, we present the solution of the Fokker-Planck equation for a bistable potential related to a double oscillator. Thus, we can observe the temporal evolution of the system describing its dynamic properties such as the time tau to overcome the barrier. By calculating the rates k = 1/tau as a function of the inverse scaled temperature 1/D, where D is the diffusion coefficient, we compare the aspect of the curve k x 1/D, with the ones obtained from other studies related to four different kinds of activated process. We notice that there are similarities in some ranges of the scaled temperatures, where the different processes follow the Arrhenius behavior. We propose that the type of bistable potential used in this study may be used, qualitatively, as a simple model, whose rates share common features with the rates of some single rate-limited thermally activated processes. (C) 2014 Elsevier B.V. All rights reserved.

Escape over a potential barrier driven by colored noise: Large but finite correlation times

The recent theory of Tsironis and Grigolini for the mean first-passage time from one metastable state to another of a bistable potential for long correlation times of the noise is extended to large but finite correlation times.

Variational supersymmetric approach to evaluate Fokker-Planck probability

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Poços quânticos e transferência de elétrons

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Solução da equação de Fokker-Planck para o potencial do oscilador harmônico duplo

Pós-graduação em Biofísica Molecular - IBILCE

Equação de Fokker-Planck, supersimetria e enovelamento de proteína

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Regulation of bistable ICEclc transfer in pseudomonas knackmussii B13

L'élément génétique intégratif et conjugatif auto-transférable de 103 kb qui se trouve dans le génome de Pseudomonas knackmussii B13 (ICEc/c) confère la capacité de dégrader le 3-chlorobenzoate et le 2-aminophénol. L'élément ICE c/c peut être transféré par conjugaison de la souche B13 à diverses bêta- et gamma- protéobactéries. Seule une sous-population de 3 à 5% des cellules transfère l'élément, les cellules dites "compétentes pour le transfert". L'acquisition de la compétence pour le transfert est vraisemblablement la conséquence d'une régulation bistable, conduisant une partie des cellules au transfert de l'élément ICE c/c tandis que, dans les autres, l'élément reste quiescent et ne se transfère pas. À ce jour, les mécanismes et les acteurs moléculaires qui régulent l'activation bistable de l'élément sont restés inconnus. Mon travail de doctorat visait à identifier les éléments bistables du régulon de la compétence pour le transfert et d'analyser les fondements moléculaires de la bistabilité de l'élément ICE c/c chez P. knackmussii. Le premier chapitre introduit le thème du transfert génétique horizontal avec un accent particulier sur les éléments intégratifs et conjugatifs (ICE) et ICEcIc. L'état actuel des connaissances sur l'organisation génétique, la régulation, l'intégration et le transfert de différents modèles de ICEs est exposé en détail. En outre, je m'étends sur les phénomènes d'hétérogénéité et de bistabilité phénotyplques, qu'on peut distinguer dans une population isogénique dans des conditions de culture homogènes, et qui sont susceptibles de jouer un rôle dans le transfert de l'élément ICE c/c, dans la mesure où il ne s'active et n'est transférable que dans une très petite sous-population de cellules. Dans le chapitre 2, je présente une analyse globale des régions promotrices minimales des gènes appartenant au régulon de la compétence pour le transfert de l'élément ICE c/c. Nous avons étudié les caractéristiques d'expression des promoteurs et, s'ils s'avéraient bistables, leur activation dans le temps par comparaison avec le mutant lntB13. Pour ce faire, nous avons utilisé des fusions de promoteurs avec des gènes rapporteurs et testé l'expression bistable chez P. knackmussii par microscopie à épifluorescence. Pour six promoteurs présentant une expression bistable, nous avons employé de la microscopie temporelle pour déterminer la chronologie de leur expression par rapport à Pint et PinR. Parmi eux, nous avons identifié deux gènes exprimés précocement et trois gènes exprimés tardivement dans le processus d'acquisition de la compétence de transfert. Dans le chapitre 3, j'expose une analyse d'expression génétique pour l'un des groupes de gènes dont la transcription est la plus élevée dans la région conservée de ICE c/c, les gènes orf81655-orf68241 contenus dans une région de 14 kb. Nous montrons d'abord que cet opéron fait partie du même régulon bistable que intB13 et inrR et analysons les caractéristiques génétiques qui conduisent à une transcription élevée. Nous étudions les fonctions biologiques de ce groupe de gènes par des délétlons ciblées et montrons que certaines d'entre elles empêchent le transfert de l'élément. Nous approfondissons la caractérlsatlon de I'orf8l655 en construisant une fusion transcrlptionnelle avec le gène codant pour la protéine fluorescente verte (egfp) (en utilisant le système minl-Tn5). L'expression de Vorf81655 dans des cellules individuelles est comparée au signal mesuré par hybridation in situ en fluorescence (FISH) sur le ARN messager du gène. En utilisant FISH, des délétlons du promoteur et de l'analyse directe de transcription, nous avons localisé la région promotrice du groupe de gènes. En outre, nous avons utilisé des mutations dirigées pour comprendre la bistabilité de cette région promotrice, caractérisée par une transcription très élevée et une traduction lente de l'ARN messager.  Dans le chapitre 4, nous nous efforçons de comprendre comment la bistabilité est générée au sein du régulon te de l'élément ICE c/c. Pour ce faire, nous avons tenté de reconstituer une expression bistable, dans un hôte qui ne présente pas de bistabilité naturellement, à partir d'éléments génétiques individuels. L'hôte choisi est Pseudomonas putida dans lequel nous avons introduit une copie unique de Pint, PinR ou PaipA fusionnés à la egfp, construits qui permettent d'observer l'apparition de bistabilité. Nous avons ensuite construit différents assemblages de composants génétiques de l'élément ICE c/c, en nous concentrant sur la région parA-inrR. En effet, nous avons pu démontrer qu'une expression bistable apparaît dans P. putida grâce à ces éléments en l'absence de l'élément ICE c/c complet. À noter que la plupart des construits génétiques activent PaipA ou P|,,R, mais qu'un seul recrée la bistabilité de Pint, ce qui suggère que la région parA-inrR permet à la fois d'engendrer la bistabilité et d'opérer la transition entre les promoteurs précoces et les promoteurs tardifs du régulon de la bistabilité. Dans le chapitre 5, nous concluons sur une discussion de la pertinence de nos résultats et sur de futures perspectives de recherche. -- The 103-kb self-transmissible integrative and conjugative element (ICE) of Pseudomonas knackmussii B13 (ICEc/c) confers the capacity to degrade 3- chlorobenzoate and 2-aminophenol. ICEc/c can be conjugated from strain B13 to a variety of Beta- and Gammaproteobacteria. Interestingly, ICE c/c transfer is observed in a subpopulatlon of cells (3-5%) only, the so-called 'transfer competent' cells. The formation of transfer competence (tc) is thought to be the consequence of a 'bistable' decision, which forces those cells to follow the developmental path which leads to ICEc/c transfer, whereas in others ICE c/c remains silent and does not transfer. So far, the mechanisms and molecular partners generating this bistable transfer activation in cells of P. knackmussii B13 remain mostly unidentified. This thesis aimed at understanding the extent of the tc bistability regulon and to dissect the molecular basis of bistabillty formation of ICEc/c in P. knackmussii. The first chapter is a general Introduction on horizontal gene transfer (HGT) with particular emphasis on ICEs and ICE c/c. The emphasis is made on the current knowledge about the HGT gene organization, regulation and specific integration and transfer aspects of the different ICEs models. Furthermore, I focus on the phenomena of phenotypic heterogeneity and bistability (the property of two distinguishable phenotypes existing within an isogenic population under homogeneous conditions), which may play a particular role in ICEc/c behaviour, since ICE activation and transfer only occurs in a very small subpopulation of cells. In Chapter Two, I focus on a global analysis of the different core promoters that might belong to the ICEc/c tc pathway regulon. We studied both expression patterns of ICEc/c promoters and, once being identified as "bistable", their temporal activation compared to that of intB13. In order to do this, we used promoter reporter fusions and tested blstability expression in P. knackmussii using epifluorescence microscopy. For the 6 promoters that showed bistable expression, we used time-lapse microscopy to study the timing of promoter expression in comparison to that of P,,,t or PlnR. We could establish two "early" and 3 "late" phase promoters in the process of transfer competence. In Chapter Three, I focused my attention on analysis of gene expression of one of the most highly transcribed gene clusters in the conserved core region of ICEc/c, a 14-kb gene cluster formed by the genes orf81655-orf68241. First we showed that this operon is part of the same bistability 'regulon' as intB13 and inrR, and analysed the genetic features that lead to high transcription. We studied the potential biological function of this cluster for ICE c/c by making specific gene deletions, showing that some interrupt ICEc/c transfer. We further analysed the orfdl655 promoter by constructing transcriptional egfp fusion reporter strains using the miniTn5 delivery system. Expression of the orf81655 promoter in single cells was compared to signals measured by Fluorescence In Situ Hybridization (FISH) on orfSl655 mRNA. We localized the promoter region of the gene cluster using FISH, promoter deletions, and by direct transcript analysis. We further used site-directed mutagenesis to understand the bistability character of the promoter region and the extremely high transcription but low translation from this mRNA. In Chapter Four, we set out to understand how bistability is generated in the tc pathway of ICEc/c. For this we tried rebuilding bistable expression from ICEc/c individual gene components in a host, which normally does not display bistability. As host we used P. putida without ICEc/c but with a single copy Pint-, PlnR- or PalpA- egfp fusion that enabled us to verify bistability formation. Subsequently, we built different assemblages of ICEc/c gene components, focusing on the parA-inrR region. Indeed, we found that bistable expression can be build from those components in P. putida without ICEc/c. Interestingly, most genetic constructs activated PaipA or PlnR, but only one resulted in bistable activation of PinT. This suggests that the parA-inrR region acts as a bistability "generator", but also as a bistability "relay" from early to late promoters in the tc pathway hierarchy. In the final fifth chapter, we conclude with a discussion of the relevance of the present thesis and the resulting perspectives for future studies.

Bistable systems with stochastic noise: virtues and limits of effective one-dimensional Langevin equations

The understanding of the statistical properties and of the dynamics of multistable systems is gaining more and more importance in a vast variety of scientific fields. This is especially relevant for the investigation of the tipping points of complex systems. Sometimes, in order to understand the time series of given observables exhibiting bimodal distributions, simple one-dimensional Langevin models are fitted to reproduce the observed statistical properties, and used to investing-ate the projected dynamics of the observable. This is of great relevance for studying potential catastrophic changes in the properties of the underlying system or resonant behaviours like those related to stochastic resonance-like mechanisms. In this paper, we propose a framework for encasing this kind of studies, using simple box models of the oceanic circulation and choosing as observable the strength of the thermohaline circulation. We study the statistical properties of the transitions between the two modes of operation of the thermohaline circulation under symmetric boundary forcings and test their agreement with simplified one-dimensional phenomenological theories. We extend our analysis to include stochastic resonance-like amplification processes. We conclude that fitted one-dimensional Langevin models, when closely scrutinised, may result to be more ad-hoc than they seem, lacking robustness and/or well-posedness. They should be treated with care, more as an empiric descriptive tool than as methodology with predictive power.

Optical bistable devices as sensing elements

The nonlinear optical properties of many materials and devices have been the main object of research as potential candidates for sensing in different places. Just one of these properties has been, in most of the cases, the basis for the sensing operation. As a consequence, just one parameter can be detected. In this paper, although just one property will be employed too, we will show the possibility to sense different parameters with just one type of sensor. The way adopted in this work is the use of the optical bistability obtained from different photonic structures. Because this optical bistability has a strong dependence on many different parameters the possibility to sense different inputs appears. In our case, we will report the use of some non-linear optical devices, mainly Semiconductor Optical Amplifiers, as sensing elements. Because their outputs depend on many parameters, as the incident light wavelength, polarization, intensity and direction, applied voltage and feedback characteristics, they can be employed to detect, at the same time, different type of signals. This is because the way these different signals affect to the sensor response is very different too and appears under a different set of characteristics.

Design, Synthesis And Biological Evaluation Of Hybrid Bioisoster Derivatives Of N-acylhydrazone And Furoxan Groups With Potential And Selective Anti-trypanosoma Cruzi Activity.

Hybrid bioisoster derivatives from N-acylhydrazones and furoxan groups were designed with the objective of obtaining at least a dual mechanism of action: cruzain inhibition and nitric oxide (NO) releasing activity. Fifteen designed compounds were synthesized varying the substitution in N-acylhydrazone and in furoxan group as well. They had its anti-Trypanosoma cruzi activity in amastigotes forms, NO releasing potential and inhibitory cruzain activity evaluated. The two most active compounds (6, 14) both in the parasite amastigotes and in the enzyme contain the nitro group in para position of the aromatic ring. The permeability screening in Caco-2 cell and cytotoxicity assay in human cells were performed for those most active compounds and both showed to be less cytotoxic than the reference drug, benznidazole. Compound 6 was the most promising, since besides activity it showed good permeability and selectivity index, higher than the reference drug. Thereby the compound 6 was considered as a possible candidate for additional studies.

Antimicrobial And Antiproliferative Potential Of Anadenanthera Colubrina (vell.) Brenan.

The aim of the present study was to perform an in vitro analysis of the antimicrobial and antiproliferative potential of an extract from Anadenanthera colubrina (Vell.) Brenan (angico) and chemically characterize the crude extract. Antimicrobial action was evaluated based on the minimum inhibitory concentration (MIC), minimum bactericidal/fungicidal concentration, and the inhibition of formation to oral biofilm. Cell morphology was determined through scanning electron microscopy (SEM). Six strains of tumor cells were used for the determination of antiproliferative potential. The extract demonstrated strong antifungal activity against Candida albicans ATCC 18804 (MIC = 0.031 mg/mL), with similar activity found regarding the ethyl acetate fraction. The extract and active fraction also demonstrated the capacity to inhibit the formation of Candida albicans to oral biofilm after 48 hours, with median values equal to or greater than the control group, but the difference did not achieve statistical significance (P > 0.05). SEM revealed alterations in the cell morphology of the yeast. Regarding antiproliferative activity, the extract demonstrated cytostatic potential in all strains tested. The present findings suggest strong antifungal potential for Anadenanthera colubrina (Vell.) Brenan as well as a tendency toward diminishing the growth of human tumor cells.

Whole Cortical And Default Mode Network Mean Functional Connectivity As Potential Biomarkers For Mild Alzheimer's Disease.

The search for an Alzheimer's disease (AD) biomarker is one of the most relevant contemporary research topics due to the high prevalence and social costs of the disease. Functional connectivity (FC) of the default mode network (DMN) is a plausible candidate for such a biomarker. We evaluated 22 patients with mild AD and 26 age- and gender-matched healthy controls. All subjects underwent resting functional magnetic resonance imaging (fMRI) in a 3.0 T scanner. To identify the DMN, seed-based FC of the posterior cingulate was calculated. We also measured the sensitivity/specificity of the method, and verified a correlation with cognitive performance. We found a significant difference between patients with mild AD and controls in average z-scores: DMN, whole cortical positive (WCP) and absolute values. DMN individual values showed a sensitivity of 77.3% and specificity of 70%. DMN and WCP values were correlated to global cognition and episodic memory performance. We showed that individual measures of DMN connectivity could be considered a promising method to differentiate AD, even at an early phase, from normal aging. Further studies with larger numbers of participants, as well as validation of normal values, are needed for more definitive conclusions.

Antioxidant And Anti-diabetic Potential Of Passiflora Alata Curtis Aqueous Leaves Extract In Type 1 Diabetes Mellitus (nod-mice).

Leaves of Passiflora alata Curtis were characterized for their antioxidant capacity. Antioxidant analyses of DPPH, FRAP, ABTS, ORAC and phenolic compounds were made in three different extracts: aqueous, methanol/acetone and ethanol. Aqueous extract was found to be the best solvent for recovery of phenolic compounds and antioxidant activity, when compared with methanol/acetone and ethanol. To study the anti-inflammatory properties of this extract in experimental type 1 diabetes, NOD mice were divided into two groups: the P. alata group, treated with aqueous extract of P. alata Curtis, and a non-treated control group, followed by diabetes expression analysis. The consumption of aqueous extract and water ad libitum lasted 28 weeks. The treated-group presented a decrease in diabetes incidence, a low quantity of infiltrative cells in pancreatic islets and increased glutathione in the kidney and liver (p<0.05), when compared with the diabetic and non-diabetic control-groups. In conclusion, our results suggest that the consumption of aqueous extract of P. alata may be considered a good source of natural antioxidants and compounds found in its composition can act as anti-inflammatory agents, helping in the control of diabetes.