A5087672354- Nonlinear Dynamics and Pattern Formation
- Gene Regulatory Network Analysis
- Theoretical and Computational Physics
- Plant Molecular Biology Research
- stochastic dynamics and bifurcation
- Slime Mold and Myxomycetes Research
- Advanced Thermodynamics and Statistical Mechanics
- Light effects on plants
- Circadian rhythm and melatonin
- Leaf Properties and Growth Measurement
- Spectroscopy and Quantum Chemical Studies
- Plant Reproductive Biology
- Evolution and Genetic Dynamics
- Mathematical and Theoretical Epidemiology and Ecology Models
- Greenhouse Technology and Climate Control
- Protein Structure and Dynamics
- Fungal and yeast genetics research
- Chaos control and synchronization
- Catalysis and Oxidation Reactions
- Phase Equilibria and Thermodynamics
- Microbial Metabolic Engineering and Bioproduction
- DNA and Nucleic Acid Chemistry
- Plant and Biological Electrophysiology Studies
- Nonlinear Photonic Systems
- nanoparticles nucleation surface interactions
Virginia Tech
2004-2022
Mongolian Academy of Sciences
2000-2018
Institute of Physics and Technology
2016
Fritz Haber Institute of the Max Planck Society
1996-2008
Youngstown State University
2002
University of Georgia
2002
Computational Physics (United States)
2002
Kyoto University
1998-2000
Louisiana State University
1999-2000
The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array identical oscillators separates sharply into two domains, one composed mutually synchronized unique frequency and other desynchronized distributed frequencies. We apply theory similar successfully explained onset collective synchronization globally coupled distribution. A space-dependent order...
A chemical reaction network for the regulation of quinic acid ( qa ) gene cluster Neurospora crassa is proposed. An efficient Monte Carlo method walking through parameter space possible networks developed to identify an ensemble deterministic kinetics models with rate constants consistent RNA and protein profiling data. This was successful in identifying a model fitting available data on cluster.
By employing mirror electron microscopy (MEM) to image the Pt(110) surface during catalytic oxidation of CO we observe that a fine cellular structure (typical dimension 1--5 \ensuremath{\mu}m) develops under conditions at which rate oscillations occur. Based on an analysis using complex Ginzburg-Landau equation, it is demonstrated such forms generally in oscillatory medium presence global coupling.
A three-component reaction-diffusion model is proposed as the first example to exhibit chemical turbulence with multiaffine fractal structures, underlying mechanism being same for similar discovered recently in some nonlocally coupled oscillator systems. The role played by strongly diffusive component can be substituted a long-wave random force, and this idea leads our proposal of second, far simpler given randomly driven FitzHugh-Nagumo nerve conduction equation.
We study the bifurcations of a set nine nonlinear ordinary differential equations that describe regulation cyclin-dependent kinase triggers DNA synthesis and mitosis in budding yeast, Saccharomyces cerevisiae. show Clb2-dependent exhibits bistability (stable steady states high or low activity). The transition from to activity is driven by transient activation Cln2-dependent kinase, reverse Clb2 degradation machinery. four-variable model retains main features nine-variable model. In...
A simple mean-field idea is applicable to the pattern dynamics of large assemblies limit-cycle oscillators with non-local coupling. This demonstrated by developing a mathematical theory for following two specific examples dynamics. Firstly, we discuss propagation phase waves in noisy oscillatory media, particular concern existence critical condition persistent throughout medium, and also possibility noise-induced turbulence. Secondly, an exotic class patterns peculiar coupling called chimera...
We study a cell population described by minimal mathematical model of the eukaryotic cycle subject to periodic forcing that simultaneously perturbs dynamics engine and growth, we show can be synchronized in mode-locked regime. By simplifying two variables, for phase progression mass cell, calculate Lyapunov exponents obtain parameter window synchronization. also discuss effects intrinsic mitotic fluctuations, asymmetric division, weak mutual coupling on pace
In recent years, it has become increasingly apparent that antisense transcription plays an important role in the regulation of gene expression. The circadian clock is no exception: transcript mammalian core-clock PERIOD2 (PER2), which we shall refer to as Per2AS RNA, oscillates with a period and nearly 12 h phase shift from peak expression Per2 mRNA. this paper, ask whether regulatory by studying silico potential effects interactions between RNAs on rhythms. Based antiphasic pattern,...
The small-amplitude equation appropriate for self-oscillatory fields with nonlocal coupling is studied numerically in the Benjamin-Feir stable regime. Depending on system size, two characteristic forms of turbulent behavior are observed. For relatively small size L, whole space splits into domains distinct dynamics, while larger L fluctuations become better characterized by spatial intermittency power-law scaling.
Populations of oscillators that present both local and global coupling can exhibit diffusive instabilities leading to a rich variety wave patterns. We investigate the selection these structures near supercritical Hopf bifurcation described by modified complex Ginzburg-Landau equation.
We show that at the onset of a cyclic fold bifurcation, birhythmic medium composed glycolytic oscillators displays turbulent dynamics. By computing largest Lyapunov exponent, spatial correlation function, and average transient lifetime, we classify it as weak turbulence nature. Virtual heterogeneities generating unstable fast oscillations account for turbulence. In presence wave number instability, can be reinjected, leading to stationary also find similar in cell cycle model. These findings...
In a differential equation model of the molecular network governing cell growth and division, cycle phases transitions through checkpoints are associated with certain bifurcations underlying vector field. If is driven by another rhythmic process, interactions between forcing lead to emergent orbits oscillations. this paper, varying amplitude frequency synthesis rates regulatory proteins mass rate in minimal eukaryotic cycle, we study changes probability distributions interdivision time at...
OPINION article Front. Plant Sci., 23 May 2016Sec. Biophysics and Modeling Volume 7 - 2016 | https://doi.org/10.3389/fpls.2016.00674
Abstract Plant morphology is inherently mathematical in that describes plant form and architecture with geometrical topological descriptors. The geometries topologies of leaves, flowers, roots, shoots their spatial arrangements have fascinated biologists mathematicians alike. Beyond providing aesthetic inspiration, quantifying has become pressing an era climate change a growing human population. Modifying morphology, through molecular biology breeding, aided by perspective, critical to...
We report a mechanism of pattern formation in growing bistable systems coupled indirectly. A modified Fujita et al. model is studied as an example reaction-diffusion system nondiffusive activator and inhibitor molecules immersed the medium fast diffusive agent. Here we show that, grows, new domain nucleates spontaneously area where local level agent becomes critical. Newly nucleated domains are stable different from Turing's monostable systems. Domains spatially confined by even if diffuse....
Shoot apical meristems (SAMs) give rise to all above-ground tissues of a plant. Expansion meristematic tissue is derived from the growth and division stem cells that reside in central zone SAM. This reservoir maintained by expression transcription factor WUSCHEL responsible for development zone. self-activating downregulated signaling pathway initiated CLAVATA proteins, which are upregulated WUSCHEL. classic activator–inhibitor network can generate localized patterns activity Turing...