Stochastic processes in cell biology

From MaRDI portal
Publication:2249143

DOI10.1007/978-3-319-08488-6zbMath1402.92001OpenAlexW615651129MaRDI QIDQ2249143

Paul C. Bressloff

Publication date: 9 July 2014

Published in: Interdisciplinary Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08488-6




Related Items (91)

Mittag-Leffler functions in superstatisticsStability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional DomainGeneralized linear Boltzmann equation, describing non-classical particle transport, and related asymptotic solutions for small mean free pathsPath integral methods for stochastic differential equationsComputing rates of Markov models of voltage-gated ion channels by inverting partial differential equations governing the probability density functions of the conducting and non-conducting statesWeak Milstein scheme without commutativity condition and its error boundClassification of stochastic processes by convolutional neural networksA Stochastic Hybrid Framework for Obtaining Statistics of Many Random Walkers in a Switching EnvironmentON DETERMINISTIC FINITE STATE MACHINES IN RANDOM ENVIRONMENTSPostponing production exponentially enhances the molecular memory of a stochastic switchThe law of iterated logarithm for the estimations of diffusion-type processesOn the emergence of traffic jams in a stochastic traffic flow driven by additive and multiplicative white Gaussian noise processesSwitching diffusions and stochastic resettingDirected intermittent search with stochastic resettingEscape from Subcellular Domains with Randomly Switching BoundariesExact simulation of the jump times of a class of piecewise deterministic Markov processesStationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback CircuitsTime-dependent propagators for stochastic models of gene expression: an analytical methodLikelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noiseLimited by sensing -- a minimal stochastic model of the lag-phase during diauxic growthQuasi-steady-state reduction of a model for cytoplasmic transport of secretory vesicles in stimulated chromaffin cellsOptimal and stable random pattern formationsFractional Fokker-Planck-Kolmogorov equations associated with SDEs on a bounded domainA variational method for analyzing limit cycle oscillations in stochastic hybrid systemsSmall noise and long time phase diffusion in stochastic limit cycle oscillatorsComputing optimal properties of drugs using mathematical models of single channel dynamicsDynamically active compartments coupled by a stochastically gated gap junctionAn efficient approach for calculating default probabilities for cash-flow based project finance with reserve accountWKB theory of large deviations in stochastic populationsA Markovian arrival stream approach to stochastic gene expression in cellsThe 3D Narrow Capture Problem for Traps with Semipermeable InterfacesStochastic models of regulation of transcription in biological cellsIncorporating Computational Challenges into a Multidisciplinary Course on Stochastic ProcessesHeteroclinic cycling and extinction in May-Leonard models with demographic stochasticityExistence and stability of symmetric and asymmetric patterns for the half-Laplacian Gierer–Meinhardt system in one-dimensional domainJump locations of jump-diffusion processes with state-dependent ratesMean escape time for randomly switching narrow gates in a steady flowCoupling sample paths to the thermodynamic limit in Monte Carlo estimators with applications to gene expressionFirst passage times and minimum actions for a stochastic minimal bistable systemOn the Mean Square Displacement in Lévy WalksWaves in a stochastic cell motility modelNonparametric estimation of trend for stochastic processes driven by \(G\)-Brownian motion with small noiseNoise induced bistability in a fluctuating environmentEffects of cell geometry on reversible vesicular transportStatistical test for fractional Brownian motion based on detrending moving average algorithmBidirectionality from cargo thermal fluctuations in motor-mediated transportProbabilistic and Piecewise Deterministic models in BiologyA Stochastic Optimal Control Model for BCG Immunotherapy in Superficial Bladder CancerDoubly Stochastic Poisson Model of Flagellar Length ControlStochastic hybrid systems in cellular neuroscienceStochastic Turing pattern formation in a model with active and passive transportStochastic switching in biology: from genotype to phenotypeAnomalous diffusion and random search in xyz-comb: exact resultsPattern formation in bacterial colonies with density-dependent diffusionBifurcation analysis of pattern formation in a two-dimensional hybrid reaction-transport modelMinimum distance parameter estimation for SDEs with small \(\alpha\)-stable noisesA neutral evolution test derived from a theoretical amino acid substitution modelMean first passage times for piecewise deterministic Markov processes and the effects of critical pointsFirst-passage processes on a filamentous track in a dense traffic: optimizing diffusive search for a target in crowding conditionsReduction of a stochastic model of gene expression: Lagrangian dynamics gives access to basins of attraction as cell types and metastabiltySolving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral viewOn penalized estimation for dynamical systems with small noiseFinite-size effects and switching times for Moran process with mutationGene expression noise is affected differentially by feedback in burst frequency and burst sizeQuasi-potential calculation and minimum action method for limit cycleStochastic modelling of slow-progressing tumors: analysis and applications to the cell interplay and control of low grade gliomasMost probable dynamics of a genetic regulatory network under stable Lévy noiseLévy noise induced transition and enhanced stability in a gene regulatory networkAnalysis of Nonprocessive Molecular Motor Transport Using Renewal Reward TheoryDiffusion in an age-structured randomly switching environmentEffective Permeability of a Gap Junction with Age-Structured SwitchingEmergence of oscillatory behaviors for excitable systems with noise and mean-field interaction: a slow-fast dynamics approachPhase Reduction of Stochastic Biochemical OscillatorsSystematic Measures of Biological Networks I: Invariant Measures and EntropyDiffusion in Cells with Stochastically Gated Gap JunctionsA PDE-DDE Model for Cell Polarization in Fission YeastFast generation of Gaussian random fields for direct numerical simulations of stochastic transportA Mechanism for Turing Pattern Formation with Active and Passive TransportExtreme first passage times of piecewise deterministic Markov processesCoherent spin states and stochastic hybrid path integralsMixture distributions in a stochastic gene expression model with delayed feedback: a WKB approximation approachMathematical models of gene expressionTarget search of a protein on DNA in the presence of position-dependent biasStochastic Active-Transport Model of Cell PolarizationOn Continuum Approximations of Discrete-State Markov Processes of Large System SizeHeavy-tailed distributions in a stochastic gene autoregulation modelResidence times of a Brownian particle with temporal heterogeneityBiophysical models of PAR cluster transport by cortical flow in \textit{C. elegans} early embryogenesisExpected exit time for time-periodic stochastic differential equations and applications to stochastic resonancePattern formations and optimal packingSearch of stochastically gated targets with diffusive particles under resetting




This page was built for publication: Stochastic processes in cell biology