Lévy noise induced transition and enhanced stability in a gene regulatory network

A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction–diffusion equations

(2018) Fengyan Wu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Data assimilation and parameter estimation for a multiscale stochastic system with α-stable Lévy noise

(2017) Yanjie Zhang et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Lévy noise-induced escape in an excitable system

(2017) Rui Cai et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Governing equations for probability densities of Marcus stochastic differential equations with Lévy noise

(2017) Xu Sun et al.   Stochastics and Dynamics

Stochastic basins of attraction for metastable states

(2016) Larissa Serdukova et al.   CHAOS

Noise Expands the Response Range of the Bacillus subtilis Competence Circuit

(2016) Andrew Mugler et al.   PLoS Computational Biology

Transitions in a genetic transcriptional regulatory system under Lévy motion

(2016) Yayun Zheng et al.   Scientific Reports

A note on compact finite difference method for reaction–diffusion equations with delay

(2015) Dongfang Li et al.   APPLIED MATHEMATICAL MODELLING

Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises

(2015) Xiao Wang et al.   APPLIED MATHEMATICS AND COMPUTATION

Asymmetric non-Gaussian effects in a tumor growth model with immunization

(2014) Mengli Hao et al.   APPLIED MATHEMATICAL MODELLING

Delay and noise induced regime shift and enhanced stability in gene expression dynamics

(2014) Tao Yang et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises

(2014) T. Gao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Genetic and non-genetic instability in tumor progression: link between the fitness landscape and the epigenetic landscape of cancer cells

(2013) Sui Huang   CANCER AND METASTASIS REVIEWS

Noise- and delay-induced regime shifts in an ecological system of vegetation

(2013) Chunhua Zeng et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

How basin stability complements the linear-stability paradigm

(2013) Peter J. Menck et al.   Nature Physics

Early signatures of regime shifts in gene expression dynamics

(2013) Mainak Pal et al.   PHYSICAL BIOLOGY

Functional Roles of Pulsing in Genetic Circuits

(2013) J. H. Levine et al.   SCIENCE

Transcriptional burst frequency and burst size are equally modulated across the human genome

(2012) R. D. Dar et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

A computational analysis for mean exit time under non-Gaussian Lévy noises

(2011) Huiqin Chen et al.   APPLIED MATHEMATICS AND COMPUTATION

Lévy flights in evolutionary ecology

(2011) Benjamin Jourdain et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Split Newton iterative algorithm and its application

(2010) Dongfang Li et al.   APPLIED MATHEMATICS AND COMPUTATION

Dynamical behavior of the activator–repressor circuit model under random fluctuations

(2010) Jae Kwan Lee et al.   Communications in Nonlinear Science and Numerical Simulation

Functional roles for noise in genetic circuits

(2010) Avigdor Eldar et al.   NATURE

First exit times for Lévy-driven diffusions with exponentially light jumps

(2009) Peter Imkeller et al.   ANNALS OF PROBABILITY

Architecture-Dependent Noise Discriminates Functionally Analogous Differentiation Circuits

(2009) Tolga Çağatay et al.   CELL

Stability measures in metastable states with Gaussian colored noise

(2009) Alessandro Fiasconaro et al.   PHYSICAL REVIEW E

Bistability, Epigenetics, and Bet-Hedging in Bacteria

(2008) Jan-Willem Veening et al.   Annual Review of Microbiology

Nature, Nurture, or Chance: Stochastic Gene Expression and Its Consequences

(2008) Arjun Raj et al.   CELL

Uncovering mechanisms of bistability in biological systems

(2008) Joseph R Pomerening   CURRENT OPINION IN BIOTECHNOLOGY

LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION

(2008) A. A. DUBKOV et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS