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1.
MicroPubl Biol ; 20242024.
Artigo em Inglês | MEDLINE | ID: mdl-38505394

RESUMO

In the early stage of the nematode Caenorhabditis elegans embryogenesis, the zygote divides asymmetrically into a symmetric fast lineage and an asymmetric slow lineage, producing 16 and 8 cells respectively almost at the same time, followed by the onset of gastrulation. It was recently reported that this cell division pattern is optimal for rapid cell proliferation. In this work, we compare the cell lineages of 9 nematode species, revealing that this pattern is conserved for >60 million years. It further suggests that such lineage design has an important functional role and it might speed up embryonic development in the nematode kingdom, not limited to C. elegans , and independent of the maternal-zygotic transition dynamics.

2.
Phys Rev E ; 104(5-1): 054409, 2021 Nov.
Artigo em Inglês | MEDLINE | ID: mdl-34942757

RESUMO

Nematode species are well-known for their invariant cell lineage pattern during development. Combining knowledge about the fate specification induced by asymmetric division and the anti-correlation between cell cycle length and cell volume in Caenorhabditis elegans, we propose a minimal model to simulate lineage initiation by altering cell volume segregation ratio in each division, and quantify the derived pattern's performance in proliferation speed, fate diversity, and space robustness. The stereotypic pattern in C. elegans embryo is found to be one of the most optimal solutions taking minimum time to achieve the cell number before gastrulation, by programming asymmetric divisions as a strategy.


Assuntos
Proteínas de Caenorhabditis elegans , Caenorhabditis elegans , Animais , Divisão Celular , Linhagem da Célula , Desenvolvimento Embrionário
3.
Nat Commun ; 12(1): 1147, 2021 02 19.
Artigo em Inglês | MEDLINE | ID: mdl-33608519

RESUMO

Within a short period of time, COVID-19 grew into a world-wide pandemic. Transmission by pre-symptomatic and asymptomatic viral carriers rendered intervention and containment of the disease extremely challenging. Based on reported infection case studies, we construct an epidemiological model that focuses on transmission around the symptom onset. The model is calibrated against incubation period and pairwise transmission statistics during the initial outbreaks of the pandemic outside Wuhan with minimal non-pharmaceutical interventions. Mathematical treatment of the model yields explicit expressions for the size of latent and pre-symptomatic subpopulations during the exponential growth phase, with the local epidemic growth rate as input. We then explore reduction of the basic reproduction number R0 through specific transmission control measures such as contact tracing, testing, social distancing, wearing masks and sheltering in place. When these measures are implemented in combination, their effects on R0 multiply. We also compare our model behaviour to the first wave of the COVID-19 spreading in various affected regions and highlight generic and less generic features of the pandemic development.


Assuntos
COVID-19/prevenção & controle , COVID-19/transmissão , Controle de Doenças Transmissíveis/métodos , Modelos Teóricos , Pandemias/prevenção & controle , Número Básico de Reprodução , Busca de Comunicante , Humanos , Funções Verossimilhança , Máscaras , Distanciamento Físico , Quarentena
4.
Proc Natl Acad Sci U S A ; 118(4)2021 01 26.
Artigo em Inglês | MEDLINE | ID: mdl-33431650

RESUMO

The science around the use of masks by the public to impede COVID-19 transmission is advancing rapidly. In this narrative review, we develop an analytical framework to examine mask usage, synthesizing the relevant literature to inform multiple areas: population impact, transmission characteristics, source control, wearer protection, sociological considerations, and implementation considerations. A primary route of transmission of COVID-19 is via respiratory particles, and it is known to be transmissible from presymptomatic, paucisymptomatic, and asymptomatic individuals. Reducing disease spread requires two things: limiting contacts of infected individuals via physical distancing and other measures and reducing the transmission probability per contact. The preponderance of evidence indicates that mask wearing reduces transmissibility per contact by reducing transmission of infected respiratory particles in both laboratory and clinical contexts. Public mask wearing is most effective at reducing spread of the virus when compliance is high. Given the current shortages of medical masks, we recommend the adoption of public cloth mask wearing, as an effective form of source control, in conjunction with existing hygiene, distancing, and contact tracing strategies. Because many respiratory particles become smaller due to evaporation, we recommend increasing focus on a previously overlooked aspect of mask usage: mask wearing by infectious people ("source control") with benefits at the population level, rather than only mask wearing by susceptible people, such as health care workers, with focus on individual outcomes. We recommend that public officials and governments strongly encourage the use of widespread face masks in public, including the use of appropriate regulation.


Assuntos
COVID-19 , Busca de Comunicante , Máscaras , SARS-CoV-2 , COVID-19/epidemiologia , COVID-19/prevenção & controle , Humanos
5.
Phys Biol ; 17(2): 026001, 2020 02 28.
Artigo em Inglês | MEDLINE | ID: mdl-31851962

RESUMO

The early embryogenesis in the nematode Caenorhabditis elegans is well-known for its stereotypic precision of cell arrangements and their lineage relationship. Much research has been focused on how biochemical processes achieve the highly reproducible cell lineage tree. However, the origin of the robustness in the cell arrangements is poorly understood. Here, we set out to provide a mechanistic explanation of how combining mechanical forces with the order and orientation of cell division ensures a robust arrangement of cells. We used a simplified mechanical model to simulate the arrangement of cells in the face of different disturbances. As a result, we revealed three fail-safe principles for cell self-organization in early nematode embryogenesis: ordering, simultaneity, and the division orientation of cell division events. Our work provides insight into the developmental strategy and contributes to the understanding of how robust or variable the cell arrangement can be in developing embryos.


Assuntos
Caenorhabditis elegans/embriologia , Caenorhabditis elegans/metabolismo , Desenvolvimento Embrionário , Animais , Caenorhabditis elegans/citologia
6.
Nat Commun ; 10(1): 5613, 2019 12 09.
Artigo em Inglês | MEDLINE | ID: mdl-31819049

RESUMO

Collective oscillations of cells in a population appear under diverse biological contexts. Here, we establish a set of common principles by categorising the response of individual cells against a time-varying signal. A positive intracellular signal relay of sufficient gain from participating cells is required to sustain the oscillations, together with phase matching. The two conditions yield quantitative predictions for the onset cell density and frequency in terms of measured single-cell and signal response functions. Through mathematical constructions, we show that cells that adapt to a constant stimulus fulfil the phase requirement by developing a leading phase in an active frequency window that enables cell-to-signal energy flow. Analysis of dynamical quorum sensing in several cellular systems with increasing biological complexity reaffirms the pivotal role of adaptation in powering oscillations in an otherwise dissipative cell-to-cell communication channel. The physical conditions identified also apply to synthetic oscillatory systems.


Assuntos
Adaptação Fisiológica , Percepção de Quorum , Simulação por Computador , Glicólise , Modelos Biológicos , Dinâmica não Linear , Saccharomyces cerevisiae/metabolismo
7.
Sci Rep ; 9(1): 5317, 2019 03 29.
Artigo em Inglês | MEDLINE | ID: mdl-30926935

RESUMO

CXCR1, a member in G-protein coupled receptor (GPCR) family, binds to chemokine interleukin-8 (IL-8) specifically and transduces signals to mediate immune and inflammatory responses. Despite the importance of CXCR1, high-resolution structure determination is hindered by the challenges in crystallization. It has been shown that properly designed mutants with enhanced thermostability, together with fusion partner proteins, can be useful to form crystals for GPCR proteins. In this study, in silico protein design was carried out by using homology modeling and molecular dynamics simulations. To validate the computational modeling results, the thermostability of several mutants and the wild type were measured experimentally. Both computational results and experimental data suggest that the mutant L126W has a significant improvement in the thermostability. This study demonstrated that in silico design can guide protein engineering and potentially facilitate protein crystallography research.


Assuntos
Simulação de Acoplamento Molecular , Simulação de Dinâmica Molecular , Muramidase/química , Muramidase/metabolismo , Engenharia de Proteínas , Receptores de Interleucina-8A/química , Receptores de Interleucina-8A/metabolismo , Sequência de Aminoácidos , Sítios de Ligação , Muramidase/genética , Mutação , Ligação Proteica , Domínios e Motivos de Interação entre Proteínas , Estabilidade Proteica , Receptores de Interleucina-8A/genética , Relação Estrutura-Atividade , Termodinâmica
8.
J Biol Chem ; 294(3): 794-804, 2019 01 18.
Artigo em Inglês | MEDLINE | ID: mdl-30455349

RESUMO

Non-cryogenic protein structures determined at ambient temperature may disclose significant information about protein activity. Chloride-pumping rhodopsin (ClR) exhibits a trend to hyperactivity induced by a change in the photoreaction rate because of a gradual decrease in temperature. Here, to track the structural changes that explain the differences in CIR activity resulting from these temperature changes, we used serial femtosecond crystallography (SFX) with an X-ray free electron laser (XFEL) to determine the non-cryogenic structure of ClR at a resolution of 1.85 Å, and compared this structure with a cryogenic ClR structure obtained with synchrotron X-ray crystallography. The XFEL-derived ClR structure revealed that the all-trans retinal (ATR) region and positions of two coordinated chloride ions slightly differed from those of the synchrotron-derived structure. Moreover, the XFEL structure enabled identification of one additional water molecule forming a hydrogen bond network with a chloride ion. Analysis of the channel cavity and a difference distance matrix plot (DDMP) clearly revealed additional structural differences. B-factor information obtained from the non-cryogenic structure supported a motility change on the residual main and side chains as well as of chloride and water molecules because of temperature effects. Our results indicate that non-cryogenic structures and time-resolved XFEL experiments could contribute to a better understanding of the chloride-pumping mechanism of ClR and other ion pumps.


Assuntos
Actinomycetales/química , Canais de Cloreto/química , Rodopsinas Microbianas/química , Cristalografia por Raios X , Domínios Proteicos
9.
Talanta ; 189: 1-7, 2018 Nov 01.
Artigo em Inglês | MEDLINE | ID: mdl-30086891

RESUMO

Cells show a timely and appropriate physiological adjustment on all levels of cellular activities in response to nutrient stress. However, the regulations for cells under different carbon/nitrogen influxes are poorly understood. To unveil a fully metabolic regulatory profile, we applied a mass spectrometry based "bottom-up" approach to investigate the metabolic response of Escherichia coli to nutrient stress. A novel cell sample preparation procedure was developed to decrease the variation and leakage of intracellular metabolites. Volatile ion-pair reagent tributylamine was used to improve the retention and selectivity of charged metabolites on a C18 reversed-phase column. The growth rate and intracellular concentrations of 12 central carbon metabolites were measured systematically under various carbon/nitrogen influxes by manipulating titratable promoters. Fructose-1,6-biphosphate (FBP) concentration as a sensor of carbon influx was positively correlated with the growth rate, whereas α-ketoglutarate (αkg), served as a coordinator of carbon and nitrogen flux showed different dependence on growth rate between carbon limitation and nitrogen limitation. By integrating different behaviors of the metabolites with knowledge from previous reports, a scenario of feedback control under carbon and nitrogen limitations was proposed. Our findings revealed the key role of αkg in the coordination of carbon and nitrogen utilization under nutrition stress and highlighted the great potential of mass spectrometry based approach in deciphering the complex metabolic network.


Assuntos
Escherichia coli/citologia , Escherichia coli/metabolismo , Espaço Intracelular/metabolismo , Metabolômica/métodos , Estresse Fisiológico , Carbono/metabolismo , Cromatografia Líquida , Ciclo do Ácido Cítrico , Escherichia coli/efeitos dos fármacos , Glicólise , Espaço Intracelular/efeitos dos fármacos , Ácidos Cetoglutáricos/metabolismo , Nitrogênio/metabolismo , Estresse Fisiológico/efeitos dos fármacos , Espectrometria de Massas em Tandem
10.
J Struct Biol ; 199(2): 87-101, 2017 08.
Artigo em Inglês | MEDLINE | ID: mdl-28223044

RESUMO

The G-protein coupled receptors (GPCRs) share a conserved heptahelical fold in the transmembrane (TM) region, but the exact arrangements of the seven TM helices vary with receptors and their activation states. The differences or the changes have been observed in the experimentally solved structures, but have not been systematically and quantitatively investigated due to lack of suitable methods. In this work, we describe a novel method, called 7×7 RMSD matrix that is proposed specifically for comparing the characteristic 7TM bundle structures of GPCRs. Compared to the commonly used overall TM bundle RMSD as a single parameter, a 7×7 RMSD matrix contains 49 parameters, which reveal changes of the relative orientations of the seven TMs. We demonstrate the novelty and advantages of this method by tackling two problems that are challenging for the existing methods. With this method, we are able to identify and quantify the helix movements in the activated receptor structures and reveal structural conservation and divergence as well as the structural relationships of different GPCRs in terms of the relative orientations of the seven TMs.


Assuntos
Biologia Computacional/métodos , Domínios Proteicos , Receptores Acoplados a Proteínas G/química , Animais , Humanos , Proteínas de Membrana/química , Métodos , Conformação Proteica em alfa-Hélice , Dobramento de Proteína
11.
Phys Rev Lett ; 117(7): 070601, 2016 Aug 12.
Artigo em Inglês | MEDLINE | ID: mdl-27563943

RESUMO

Energy flows in biomolecular motors and machines are vital to their function. Yet experimental observations are often limited to a small subset of variables that participate in energy transport and dissipation. Here we show, through a solvable Langevin model, that the seemingly hidden entropy production is measurable through the violation spectrum of the fluctuation-response relation of a slow observable. For general Markov systems with time scale separation, we prove that the violation spectrum exhibits a characteristic plateau in the intermediate frequency region. Despite its vanishing height, the plateau can account for energy dissipation over a broad time scale. Our findings suggest a general possibility to probe hidden entropy production in nanosystems without direct observation of fast variables.

12.
Artigo em Inglês | MEDLINE | ID: mdl-26565198

RESUMO

Above two dimensions, diffusion of a particle in a medium with quenched random traps is believed to be well described by the annealed continuous-time random walk. We propose an approximate expression for the first-passage-time (FPT) distribution in a given sample that enables detailed comparison of the two problems. For a system of finite size, the number and spatial arrangement of deep traps yield significant sample-to-sample variations in the FPT statistics. Numerical simulations of a quenched trap model with power-law sojourn times confirm the existence of two characteristic time scales and a non-self-averaging FPT distribution, as predicted by our theory.


Assuntos
Difusão , Modelos Teóricos , Fatores de Tempo
13.
Artigo em Inglês | MEDLINE | ID: mdl-26382359

RESUMO

We revisit the Kuramoto model to explore the finite-size scaling (FSS) of the order parameter and its dynamic fluctuations near the onset of the synchronization transition, paying particular attention to effects induced by the randomness of the intrinsic frequencies of oscillators. For a population of size N, we study two ways of sampling the intrinsic frequencies according to the same given unimodal distribution g(ω). In the "random" case, frequencies are generated independently in accordance with g(ω), which gives rise to oscillator number fluctuation within any given frequency interval. In the "regular" case, the N frequencies are generated in a deterministic manner that minimizes the oscillator number fluctuations, leading to quasiuniformly spaced frequencies in the population. We find that the two samplings yield substantially different finite-size properties with clearly distinct scaling exponents. Moreover, the hyperscaling relation between the order parameter and its fluctuations is valid in the regular case, but it is violated in the random case. In this last case, a self-consistent mean-field theory that completely ignores dynamic fluctuations correctly predicts the FSS exponent of the order parameter but not its critical amplitude.

14.
PLoS One ; 8(2): e54867, 2013.
Artigo em Inglês | MEDLINE | ID: mdl-23457455

RESUMO

In Saccharomyces cerevisiae, external high osmolarity activates the HOG MAPK pathway, which controls various aspects of osmoregulation. MAPKKK Ssk2 is activated by Ssk1 in the SLN1 branch of the osmoregulatory HOG MAPK pathway under hyperosmotic stress. We observed that Ssk2 can be activated independent of Ssk1 upon osmotic shock by an unidentified mechanism. The domain for the Ssk1p-independent activation was identified to be located between the amino acids 177∼240. This region might be involved in the binding of an unknown regulator to Ssk2 which in turn activates Ssk2p without Ssk1p under hyperosmotic stress. The osmotic stress response through the Ssk1p-independent Ssk2p activation is strong, although its duration is short compared with the Ssk1p-dependent activation. The alternative Ssk2p activation is also important for the salt resistance.


Assuntos
MAP Quinase Quinase Quinases/metabolismo , Proteínas de Saccharomyces cerevisiae/metabolismo , Saccharomyces cerevisiae/fisiologia , Sequência de Aminoácidos , Ativação Enzimática , MAP Quinase Quinase Quinases/química , MAP Quinase Quinase Quinases/genética , Sistema de Sinalização das MAP Quinases , Proteínas Quinases Ativadas por Mitógeno/metabolismo , Dados de Sequência Molecular , Mutação , Pressão Osmótica , Fosforilação , Estrutura Terciária de Proteína , Saccharomyces cerevisiae/química , Saccharomyces cerevisiae/genética , Proteínas de Saccharomyces cerevisiae/química , Proteínas de Saccharomyces cerevisiae/genética , Alinhamento de Sequência
15.
Phys Rev Lett ; 108(19): 198102, 2012 May 11.
Artigo em Inglês | MEDLINE | ID: mdl-23003092

RESUMO

Engineered bacteria in which motility is reduced by local cell density generate periodic stripes of high and low density when spotted on agar plates. We study theoretically the origin and mechanism of this process in a kinetic model that includes growth and density-suppressed motility of the cells. The spreading of a region of immotile cells into an initially cell-free region is analyzed. From the calculated front profile we provide an analytic ansatz to determine the phase boundary between the stripe and the no-stripe phases. The influence of various parameters on the phase boundary is discussed.


Assuntos
Fenômenos Fisiológicos Bacterianos , Modelos Biológicos , Bactérias/crescimento & desenvolvimento , Aderência Bacteriana
16.
Sci Rep ; 2: 436, 2012.
Artigo em Inglês | MEDLINE | ID: mdl-22666539

RESUMO

Using bacteria as therapeutic agents against solid tumors is emerging as an area of great potential in the treatment of cancer. Obligate and facultative anaerobic bacteria have been shown to infiltrate the hypoxic regions of solid tumors, thereby reducing their growth rate or causing regression. However, a major challenge for bacterial therapy of cancer with facultative anaerobes is avoiding damage to normal tissues. Consequently the virulence of bacteria must be adequately attenuated for therapeutic use. By placing an essential gene under a hypoxia conditioned promoter, SalmonellaTyphimurium strain SL7207 was engineered to survive only in anaerobic conditions (strain YB1) without otherwise affecting its functions. In breast tumor bearing nude mice, YB1 grew within the tumor, retarding its growth, while being rapidly eliminated from normal tissues. YB1 provides a safe bacterial vector for anti-tumor therapies without compromising the other functions or tumor fitness of the bacterium as attenuation methods normally do.


Assuntos
Bactérias Anaeróbias/fisiologia , Interações Hospedeiro-Patógeno , Neoplasias/microbiologia , Salmonella typhimurium/fisiologia , Animais , Bactérias Anaeróbias/genética , Bactérias Anaeróbias/patogenicidade , Vacinas Bacterianas/farmacologia , Terapia Biológica/métodos , Neoplasias da Mama/microbiologia , Neoplasias da Mama/patologia , Neoplasias da Mama/terapia , Linhagem Celular Tumoral , Feminino , Engenharia Genética/métodos , Humanos , Hipóxia , Camundongos , Camundongos Nus , Neoplasias/patologia , Neoplasias/terapia , Salmonella typhimurium/genética , Salmonella typhimurium/patogenicidade , Carga Tumoral/efeitos dos fármacos , Virulência/genética , Ensaios Antitumorais Modelo de Xenoenxerto/métodos
17.
Science ; 334(6053): 238-41, 2011 Oct 14.
Artigo em Inglês | MEDLINE | ID: mdl-21998392

RESUMO

Periodic stripe patterns are ubiquitous in living organisms, yet the underlying developmental processes are complex and difficult to disentangle. We describe a synthetic genetic circuit that couples cell density and motility. This system enabled programmed Escherichia coli cells to form periodic stripes of high and low cell densities sequentially and autonomously. Theoretical and experimental analyses reveal that the spatial structure arises from a recurrent aggregation process at the front of the continuously expanding cell population. The number of stripes formed could be tuned by modulating the basal expression of a single gene. The results establish motility control as a simple route to establishing recurrent structures without requiring an extrinsic pacemaker.


Assuntos
Escherichia coli K12/crescimento & desenvolvimento , Escherichia coli K12/fisiologia , Acil-Butirolactonas/metabolismo , Carga Bacteriana , Proliferação de Células , Meios de Cultura , Difusão , Escherichia coli K12/citologia , Escherichia coli K12/genética , Regulação Bacteriana da Expressão Gênica , Redes Reguladoras de Genes , Cinética , Modelos Biológicos , Movimento , Percepção de Quorum , Biologia Sintética
18.
Mol Biosyst ; 7(5): 1537-48, 2011 May.
Artigo em Inglês | MEDLINE | ID: mdl-21350749

RESUMO

High-fructose diet-fed rats as one of the insulin resistant models was used widely for understanding the mechanisms of type 2 diabetes mellitus. Systems-level metabolic profiling of the rat model, however, has not been deciphered clearly. To address this issue, mass spectrometry-based metabolomics was employed to unlock the metabolic snapshots of the oral glucose tolerance test (oGTT) effect in either healthy or diabetic rats, as well as to delineate the metabolic signatures in tissues of rats fed with high-fructose diet. Several differentiating metabolites were highlighted to reveal the metabolic perturbation of the oGTT effects in healthy and diabetic rats, which involved amino acid biosynthesis, polyunsaturated fatty acids, phospholipids and purine metabolism. Surprisingly, the patterns of relationships for the metabolic phenotypes by using data mining revealed that glucose ingestion might induce the healthy group to display its trajectory towards diabetic status, while only a very slight influence was observed on the high-fructose diet-fed rats 120 min after glucose ingestion. The data treatment for liver, skeletal muscle and brain tissues suggested that oxidative stress, such as lipid peroxidation and the declined antioxidant, the elevated amino acids and the perturbation of fatty acids, were caused by the high-fructose diet in liver and skeletal muscle tissues. On the other hand, the up-regulation in purine biosynthesis and the decreased concentrations for amino acids were observed in the cerebral cortex and hippocampus tissues. Collectively, the obtained results might provide a new insight not only for the impairment of glucose tolerance but also for the dietary style in rats.


Assuntos
Carboidratos da Dieta/farmacologia , Frutose/farmacologia , Glucose/metabolismo , Metabolômica/métodos , Aminoácidos/sangue , Aminoácidos/metabolismo , Animais , Antioxidantes/classificação , Antioxidantes/metabolismo , Glicemia/metabolismo , Encéfalo/efeitos dos fármacos , Encéfalo/metabolismo , Análise por Conglomerados , Diabetes Mellitus Tipo 2/sangue , Diabetes Mellitus Tipo 2/metabolismo , Carboidratos da Dieta/administração & dosagem , Ácidos Graxos/sangue , Ácidos Graxos/metabolismo , Frutose/administração & dosagem , Glucose/administração & dosagem , Glucose/farmacocinética , Teste de Tolerância a Glucose , Peroxidação de Lipídeos/efeitos dos fármacos , Fígado/efeitos dos fármacos , Fígado/metabolismo , Masculino , Espectrometria de Massas/métodos , Metaboloma/efeitos dos fármacos , Metabolômica/instrumentação , Modelos Biológicos , Músculo Esquelético/efeitos dos fármacos , Músculo Esquelético/metabolismo , Análise de Componente Principal , Ratos , Ratos Sprague-Dawley , Transdução de Sinais/efeitos dos fármacos
19.
Phys Biol ; 7(1): 016005, 2009 Dec 21.
Artigo em Inglês | MEDLINE | ID: mdl-20026878

RESUMO

Because of the stochastic nature of biochemical processes, the copy number of any given type of molecule inside a living cell often exhibits large temporal fluctuations. Here, we develop analytic methods to investigate how the noise arising from a bursting input is reshaped by a transport reaction which is either linear or of the Michaelis-Menten type. A slow transport rate smoothes out fluctuations at the output end and minimizes the impact of bursting on the downstream cellular activities. In the context of gene expression in eukaryotic cells, our results indicate that transcriptional bursting can be substantially attenuated by the transport of mRNA from nucleus to cytoplasm. Saturation of the transport mediators or nuclear pores contributes further to the noise reduction. We suggest that the mRNA transport should be taken into account in the interpretation of relevant experimental data on transcriptional bursting.


Assuntos
Transporte Ativo do Núcleo Celular , RNA Mensageiro/metabolismo , Transcrição Gênica , Modelos Biológicos
20.
Phys Rev Lett ; 99(18): 184101, 2007 Nov 02.
Artigo em Inglês | MEDLINE | ID: mdl-17995410

RESUMO

The entrainment transition of coupled random frequency oscillators is revisited. The Kuramoto model (global coupling) is shown to exhibit unusual sample-dependent finite-size effects leading to a correlation size exponent nu=5/2. Simulations of locally coupled oscillators in d dimensions reveal two types of frequency entrainment: mean-field behavior at d>4 and aggregation of compact synchronized domains in three and four dimensions. In the latter case, scaling arguments yield a correlation length exponent nu=2/(d-2), in good agreement with numerical results.

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