Modeling and Analysis of Stochastic Reaction Kinetics in Biomolecular Systems
Sign Up to like & getrecommendations! Published in 2020 at "New Generation Computing"
DOI: 10.1007/s00354-020-00095-y
Abstract: Chemical reactions in small-volume reactors such as biological cells are highly variable due to the stochastic collision events of the small number of molecules. To analyze and design these stochastic biomolecular reactions, computational tools have… read more here.
Keywords: modeling analysis; reaction kinetics; biomolecular systems; analysis stochastic ... See more keywords
Random Dynamics of Stochastic Reaction–Diffusion Systems with Additive Noise
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DOI: 10.1007/s10884-015-9431-4
Abstract: For a typical autocatalytic stochastic reaction–diffusion system with additive noises, the multicomponent reversible Gray–Scott reaction–diffusion system on a two-dimensional bounded domain, the existence of a random attractor and its attracting regularity are proved through the… read more here.
Keywords: dynamics stochastic; reaction diffusion; reaction; random dynamics ... See more keywords
Stochastic reaction-diffusion modeling of calcium dynamics in 3D-dendritic spines of Purkinje Cells.
Sign Up to like & getrecommendations! Published in 2021 at "Biophysical journal"
DOI: 10.1016/j.bpj.2021.03.027
Abstract: Calcium (Ca2+) is a second messenger assumed to control changes in synaptic strength in the form of both long-term depression (LTD) and long-term potentiation (LTP) at Purkinje cell dendritic spine synapses via inositol trisphosphate (IP3)… read more here.
Keywords: ca2 transients; purkinje cell; reaction diffusion; ca2 ... See more keywords
Regularity of random attractors for fractional stochastic reaction–diffusion equations on Rn
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.02.011
Abstract: Abstract We investigate the regularity of random attractors for the non-autonomous non-local fractional stochastic reaction–diffusion equations in H s ( R n ) with s ∈ ( 0 , 1 ) . We prove the… read more here.
Keywords: regularity random; diffusion equations; fractional stochastic; reaction diffusion ... See more keywords
Higher-order Wong–Zakai approximations of stochastic reaction–diffusion equations on RN
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.132147
Abstract: Abstract In this paper, we consider the higher-order Wong–Zakai approximations of the non-autonomous stochastic reaction–diffusion equation driven by additive/multiplicative white noises. The solutions between the approximation equation and stochastic reaction–diffusion equation are compared in higher-order… read more here.
Keywords: higher order; stochastic reaction; reaction diffusion;
An algebraic method to calculate parameter regions for constrained steady-state distribution in stochastic reaction networks.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5047579
Abstract: Steady state is an essential concept in reaction networks. Its stability reflects fundamental characteristics of several biological phenomena such as cellular signal transduction and gene expression. Because biochemical reactions occur at the cellular level, they… read more here.
Keywords: calculate parameter; reaction networks; steady state; reaction ... See more keywords
Growth and depletion in linear stochastic reaction networks.
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2214282119
Abstract: This paper is about a class of stochastic reaction networks. Of interest are the dynamics of interconversion among a finite number of substances through reactions that consume some of the substances and produce others. The… read more here.
Keywords: network; stochastic reaction; reaction; growth ... See more keywords
Stability for stochastic reaction–diffusion systems driven by G-Brownian motion
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Control"
DOI: 10.1080/00207179.2021.1885742
Abstract: In this paper, we deal with a class of stochastic reaction–diffusion systems driven by G-Brownian motion (G-SRDSs, in short). The criterions on quasi-surely exponential stability and finite-time st... read more here.
Keywords: diffusion systems; reaction diffusion; systems driven; brownian motion ... See more keywords
Mean square finite-time boundary stabilisation and H∞ boundary control for stochastic reaction-diffusion systems
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2019.1615574
Abstract: ABSTRACT In this paper, the boundary control problem of stochastic reaction-diffusion systems (SRDSs) is studied. First, a distribution controller is designed, and a sufficient condition is established to achieve mean square finite-time stability. Then a… read more here.
Keywords: finite time; square finite; mean square; boundary control ... See more keywords
Kinetic Uncertainty Relations for the Control of Stochastic Reaction Networks.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.108101
Abstract: Nonequilibrium stochastic reaction networks are commonly found in both biological and nonbiological systems, but have remained hard to analyze because small differences in rate functions or topology can change the dynamics drastically. Here, we conjecture… read more here.
Keywords: uncertainty relations; reaction networks; reaction; kinetic uncertainty ... See more keywords
Synchronization analysis for stochastic reaction-diffusion Cohen-Grossberg neural networks with Neumann boundary conditions via periodically intermittent control
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DOI: 10.1186/s13662-017-1193-3
Abstract: In this paper, mathematical analysis is proposed on the synchronization problem for stochastic reaction-diffusion Cohen-Grossberg neural networks with Neumann boundary conditions. By introducing several important inequalities and using Lyapunov functional technique, some new synchronization criteria… read more here.
Keywords: diffusion; control; reaction diffusion; diffusion cohen ... See more keywords