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Bistable systems

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https://www.readbyqxmd.com/read/28505827/intermittent-feedback-induces-attractor-selection
#1
Kiran Yadav, Neeraj Kumar Kamal, Manish Dev Shrimali
We present a method for attractor selection in multistable dynamical systems. It involves a feedback term that is active only when the dynamics of the system is in a particular fraction of state space of the attractor. We implement this method first on a simplest symmetric chaotic flow and then on a bistable neuronal system. We find that adding this space-dependent feedback term to the dynamical equations of these systems will drive the dynamics to the desired attractor by annihilating the other. We further demonstrate that the attractor selection due to this feedback term can be used in construction of logic gates, which is one of the practical applications of the proposed method...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505800/kramers-problem-for-a-dimer-effect-of-noise-correlations
#2
R K Singh
The Kramers problem for a dimer in a bistable piecewise linear potential is studied in the presence of correlated noise processes. The effect of such a correlation is to redistribute the thermal power between the dynamical degrees of freedom, and this leads to significant deviations in the dynamics of the system from the case of independent noise processes. The distribution of first passage times from one minima to the basin of attraction of the other minima is found to have exponentially decaying tails with the parameter dependent on the amount of correlation and the coupling between the particles...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28505785/noise-induced-polarization-switching-in-complex-networks
#3
Jan O Haerter, Albert Díaz-Guilera, M Ángeles Serrano
The combination of bistability and noise is ubiquitous in complex systems, from biology to social interactions, and has important implications for their functioning and resilience. Here we use a simple three-state dynamical process, in which nodes go from one pole to another through an intermediate state, to show that noise can induce polarization switching in bistable systems if dynamical correlations are significant. In large, fully connected networks, where dynamical correlations can be neglected, increasing noise yields a collapse of bistability to an unpolarized configuration where the three possible states of the nodes are equally likely...
April 2017: Physical Review. E
https://www.readbyqxmd.com/read/28494968/bistability-and-nonmonotonic-induction-of-the-lac-operon-in-the-natural-lactose-uptake-system
#4
Dominique Zander, Daniel Samaga, Ronny Straube, Katja Bettenbrock
The Escherichia coli lac operon is regulated by a positive feedback loop whose potential to generate an all-or-none response in single cells has been a paradigm for bistable gene expression. However, so far bistable lac induction has only been observed using gratuitous inducers, raising the question about the biological relevance of bistable lac induction in the natural setting with lactose as the inducer. In fact, the existing experimental evidence points to a graded rather than an all-or-none response in the natural lactose uptake system...
May 9, 2017: Biophysical Journal
https://www.readbyqxmd.com/read/28488415/a-bistable-microelectromechanical-system-actuated-by-spin-crossover-molecules
#5
Maria D Manrique-Juarez, Fabrice Mathieu, Victoria Shalabaeva, Jean Cacheux, Sylvain Rat, Liviu Nicu, Thierry Leïchlé, Lionel Salmon, Gábor Molnár, Azzedine Bousseksou
We report on a bistable MEMS device actuated by spin-crossover molecules. The device consists of a freestanding silicon microcantilever with an integrated piezoresistive detection system, which was coated with a 140 nm thick film of the [Fe(HB(tz)3 )2 ] (tz=1,2,4-triazol-1-yl) molecular spin-crossover complex. Switching from the low-spin to the high-spin state of the ferrous ions at 338 K led to a reversible upward bending of the cantilever in agreement with the change in the lattice parameters of the complex...
May 10, 2017: Angewandte Chemie
https://www.readbyqxmd.com/read/28485372/optically-levitated-nanoparticle-as-a-model-system-for-stochastic-bistable-dynamics
#6
F Ricci, R A Rica, M Spasenović, J Gieseler, L Rondin, L Novotny, R Quidant
Nano-mechanical resonators have gained an increasing importance in nanotechnology owing to their contributions to both fundamental and applied science. Yet, their small dimensions and mass raises some challenges as their dynamics gets dominated by nonlinearities that degrade their performance, for instance in sensing applications. Here, we report on the precise control of the nonlinear and stochastic bistable dynamics of a levitated nanoparticle in high vacuum. We demonstrate how it can lead to efficient signal amplification schemes, including stochastic resonance...
May 9, 2017: Nature Communications
https://www.readbyqxmd.com/read/28448638/a-minimal-model-of-burst-noise-induced-bistability
#7
Johannes Falk, Marc Mendler, Barbara Drossel
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour. The system is a modified version of the Schlögl model, which is a chemical reaction system with only one type of molecule. The strength of the intrinsic noise is varied without changing the deterministic description by introducing bursts in the autocatalytic production step. We study the transitions between monostable and bistable behavior in this system by evaluating the number of maxima of the stationary probability distribution...
2017: PloS One
https://www.readbyqxmd.com/read/28437965/comparison-between-optical-bistabilities-versus-power-and-frequency-in-a-composite-cavity-atom-system
#8
Zhaoyang Zhang, Danmeng Ma, Jun Liu, Yanyong Sun, Lin Cheng, Ghulam Abbas Khan, Yanpeng Zhang
By making use of the changes in optical properties such as absorption and dispersion around the resonance generated via electromagnetically induced transparency (EIT), we theoretically and experimentally investigate a "∞"-shape optical bistability (OB) versus frequency on the probe transmission with a Λ-shape EIT window in a rubidium atomic ensemble confined in a three-mirror optical ring cavity. Compared to the traditional OB reflected by a hysteresis loop versus power, such newly demonstrated optical bistable behavior (represented by a "∞"-shape non-overlapping region) by scanning probe and cavity detuning can experience dual bistabilities and be more sensitive to the change of experimental parameters...
April 17, 2017: Optics Express
https://www.readbyqxmd.com/read/28416663/bistable-metamaterial-for-switching-and-cascading-elastic-vibrations
#9
Osama R Bilal, André Foehr, Chiara Daraio
The realization of acoustic devices analogous to electronic systems, like diodes, transistors, and logic elements, suggests the potential use of elastic vibrations (i.e., phonons) in information processing, for example, in advanced computational systems, smart actuators, and programmable materials. Previous experimental realizations of acoustic diodes and mechanical switches have used nonlinearities to break transmission symmetry. However, existing solutions require operation at different frequencies or involve signal conversion in the electronic or optical domains...
May 2, 2017: Proceedings of the National Academy of Sciences of the United States of America
https://www.readbyqxmd.com/read/28415377/delay-induced-depinning-of-localized-structures-in-a-spatially-inhomogeneous-swift-hohenberg-model
#10
Felix Tabbert, Christian Schelte, Mustapha Tlidi, Svetlana V Gurevich
We report on the dynamics of localized structures in an inhomogeneous Swift-Hohenberg model describing pattern formation in the transverse plane of an optical cavity. This real order parameter equation is valid close to the second-order critical point associated with bistability. The optical cavity is illuminated by an inhomogeneous spatial Gaussian pumping beam and subjected to time-delayed feedback. The Gaussian injection beam breaks the translational symmetry of the system by exerting an attracting force on the localized structure...
March 2017: Physical Review. E
https://www.readbyqxmd.com/read/28415353/noise-induced-symmetry-breaking-far-from-equilibrium-and-the-emergence-of-biological-homochirality
#11
Farshid Jafarpour, Tommaso Biancalani, Nigel Goldenfeld
The origin of homochirality, the observed single-handedness of biological amino acids and sugars, has long been attributed to autocatalysis, a frequently assumed precursor for early life self-replication. However, the stability of homochiral states in deterministic autocatalytic systems relies on cross-inhibition of the two chiral states, an unlikely scenario for early life self-replicators. Here we present a theory for a stochastic individual-level model of autocatalytic prebiotic self-replicators that are maintained out of thermal equilibrium...
March 2017: Physical Review. E
https://www.readbyqxmd.com/read/28415301/nonlinear-signaling-on-biological-networks-the-role-of-stochasticity-and-spectral-clustering
#12
Gonzalo Hernandez-Hernandez, Jesse Myers, Enrique Alvarez-Lacalle, Yohannes Shiferaw
Signal transduction within biological cells is governed by networks of interacting proteins. Communication between these proteins is mediated by signaling molecules which bind to receptors and induce stochastic transitions between different conformational states. Signaling is typically a cooperative process which requires the occurrence of multiple binding events so that reaction rates have a nonlinear dependence on the amount of signaling molecule. It is this nonlinearity that endows biological signaling networks with robust switchlike properties which are critical to their biological function...
March 2017: Physical Review. E
https://www.readbyqxmd.com/read/28396937/bifurcation-analysis-and-global-dynamics-of-a-mathematical-model-of-antibiotic-resistance-in-hospitals
#13
Xiuli Cen, Zhilan Feng, Yiqiang Zheng, Yulin Zhao
Antibiotic-resistant bacteria have posed a grave threat to public health by causing a number of nosocomial infections in hospitals. Mathematical models have been used to study transmission dynamics of antibiotic-resistant bacteria within a hospital and the measures to control antibiotic resistance in nosocomial pathogens. Studies presented in Lipstich et al. (Proc Natl Acad Sci 97(4):1938-1943, 2000) and Lipstich and Bergstrom (Infection control in the ICU environment. Kluwer, Boston, 2002) have provided valuable insights in understanding the transmission of antibiotic-resistant bacteria in a hospital...
April 10, 2017: Journal of Mathematical Biology
https://www.readbyqxmd.com/read/28375247/optical-bistability-in-coupled-optomechanical-cavities-in-the-presence-of-kerr-effect
#14
A Asghari Nejad, H R Askari, H R Baghshahi
We theoretically investigate optical bistability for a hybrid optomechanical system, where two cavities (an optomechanical cavity and a traditional one) are coupled together. A Kerr medium is inserted in the optomechanical cavity and there is an ultra-cold atomic gas inside the other. Dynamics of the system is described by Heisenberg-Langevin equations of motion in the steady-state regime. Bistability is observed in intracavity intensity for the optomechanical cavity, and the response of this phenomenon to optical parameters of the system is investigated...
April 1, 2017: Applied Optics
https://www.readbyqxmd.com/read/28364729/intestinal-microbiome-landscaping-insight-in-community-assemblage-and-implications-for-microbial-modulation-strategies
#15
Sudarshan A Shetty, Floor Hugenholtz, Leo Lahti, Hauke Smidt, Willem M de Vos
High individuality, large complexity and limited understanding of the mechanisms underlying human intestinal microbiome function remain the major challenges for designing beneficial modulation strategies. Exemplified by the analysis of intestinal bacteria in a thousand Western adults, we discuss key concepts of the human intestinal microbiome landscape, i.e. the compositional and functional 'core', the presence of community types and the existence of alternative stable states. Genomic investigation of core taxa revealed functional redundancy, which is expected to stabilize the ecosystem, as well as taxa with specialized functions that have the potential to shape the microbiome landscape...
March 1, 2017: FEMS Microbiology Reviews
https://www.readbyqxmd.com/read/28323019/comparison-of-perceptual-properties-of-auditory-streaming-between-spectral-and-amplitude-modulation-domains
#16
Shimpei Yamagishi, Sho Otsuka, Shigeto Furukawa, Makio Kashino
The two-tone sequence (ABA_), which comprises two different sounds (A and B) and a silent gap, has been used to investigate how the auditory system organizes sequential sounds depending on various stimulus conditions or brain states. Auditory streaming can be evoked by differences not only in the tone frequency ("spectral cue": ΔFTONE, TONE condition) but also in the amplitude modulation rate ("AM cue": ΔFAM, AM condition). The aim of the present study was to explore the relationship between the perceptual properties of auditory streaming for the TONE and AM conditions...
March 17, 2017: Hearing Research
https://www.readbyqxmd.com/read/28286945/controlled-sol-gel-transitions-by-actuating-molecular-machine-based-supramolecular-polymers
#17
Antoine Goujon, Giacomo Mariani, Thomas Lang, Emilie Moulin, Michel Rawiso, Eric Buhler, Nicolas Giuseppone
The implementation of artificial molecular machines in polymer science is an important objective that challenges chemists and physicists in order to access an entirely new class of smart materials. To design such systems, the amplification of a mechanical actuation from the nanoscale up to a macroscopic response in the bulk material is a central issue. In this article we show that bistable [c2]daisy chain rotaxanes (i.e., molecular muscles) can be linked into main-chain Upy-based supramolecular polymers. We then reveal by an in depth quantitative study that the pH actuation of the mechanically active rotaxane at the nanoscale influences the physical reticulation of the polymer chains by changing the supramolecular behavior of the Upy units...
March 23, 2017: Journal of the American Chemical Society
https://www.readbyqxmd.com/read/28280580/organization-of-biogeochemical-nitrogen-pathways-with-switch-like-adjustment-in-fluctuating-soil-redox-conditions
#18
Sanjay Lamba, Soumen Bera, Mubasher Rashid, Alexander B Medvinsky, Gui-Quan Sun, Claudia Acquisti, Amit Chakraborty, Bai-Lian Li
Nitrogen is cycled throughout ecosystems by a suite of biogeochemical processes. The high complexity of the nitrogen cycle resides in an intricate interplay between reversible biochemical pathways alternatively and specifically activated in response to diverse environmental cues. Despite aggressive research, how the fundamental nitrogen biochemical processes are assembled and maintained in fluctuating soil redox conditions remains elusive. Here, we address this question using a kinetic modelling approach coupled with dynamical systems theory and microbial genomics...
January 2017: Royal Society Open Science
https://www.readbyqxmd.com/read/28273072/bistable-front-dynamics-in-a-contractile-medium-travelling-wave-fronts-and-cortical-advection-define-stable-zones-of-rhoa-signaling-at-epithelial-adherens-junctions
#19
Rashmi Priya, Guillermo A Gomez, Srikanth Budnar, Bipul R Acharya, Andras Czirok, Alpha S Yap, Zoltan Neufeld
Mechanical coherence of cell layers is essential for epithelia to function as tissue barriers and to control active tissue dynamics during morphogenesis. RhoA signaling at adherens junctions plays a key role in this process by coupling cadherin-based cell-cell adhesion together with actomyosin contractility. Here we propose and analyze a mathematical model representing core interactions involved in the spatial localization of junctional RhoA signaling. We demonstrate how the interplay between biochemical signaling through positive feedback, combined with diffusion on the cell membrane and mechanical forces generated in the cortex, can determine the spatial distribution of RhoA signaling at cell-cell junctions...
March 2017: PLoS Computational Biology
https://www.readbyqxmd.com/read/28246663/steady-state-statistical-correlations-predict-bistability-in-reaction-motifs
#20
Suchana Chakravarty, Debashis Barik
Various cellular decision making processes are regulated by bistable switches that take graded input signals and convert them to binary all-or-none responses. Traditionally, a bistable switch generated by a positive feedback loop is characterized either by a hysteretic signal response curve with two distinct signaling thresholds or by characterizing the bimodality of the response distribution in the bistable region. To identify the intrinsic bistability of a feedback regulated network, here we propose that bistability can be determined by correlating higher order moments and cumulants (≥2) of the joint steady state distributions of two components connected in a positive feedback loop...
March 1, 2017: Molecular BioSystems
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