Search filters

List of works by Ralf Metzler

A self-avoiding walk with neural delays as a model of fixational eye movements

scientific article published on 11 October 2017

Acceleration of bursty multiprotein target search kinetics on DNA by colocalisation.

scientific article published on 15 January 2018

Aging effects and population splitting in single-particle trajectory averages

scientific article

Aging scaled Brownian motion ⬇️

scientific article published on 7 April 2015

Aging underdamped scaled Brownian motion: Ensemble- and time-averaged particle displacements, nonergodicity, and the failure of the overdamping approximation ⬇️

scientific article published on 12 January 2017

Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach

scientific article published in Physical Review Letters

Anomalous and normal diffusion of proteins and lipids in crowded lipid membranes

scientific article published in January 2013

Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions

scientific article (publication date: 17 April 2013)

Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes ⬇️

scientific article

Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking

scientific article published in November 2014

Anomalous diffusion of phospholipids and cholesterols in a lipid bilayer and its origins

scientific article published on 31 October 2012

Anomalous statistics of random relaxations in random environments

scientific article published on 26 February 2013

Apparent anomalous diffusion and non-Gaussian distributions in a simple mobile–immobile transport model with Poissonian switching

scientific article published in 2022

Area coverage of radial Lévy flights with periodic boundary conditions

scientific article

Barrier crossing driven by Lévy noise: universality and the role of noise intensity

scientific article published on 02 April 2007

Bayesian analysis of single-particle tracking data using the nested-sampling algorithm: maximum-likelihood model selection applied to stochastic-diffusivity data

scientific article published on 01 November 2018

Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing

scientific article published on 01 August 2018

Bifurcation, bimodality, and finite variance in confined Lévy flights

scientific article published on 28 January 2003

Breathing dynamics based parameter sensitivity analysis of hetero-polymeric DNA ⬇️

scientific article published on 01 March 2014

Breathing dynamics in heteropolymer DNA.

scientific article published on 19 January 2007

Bubble merging in breathing DNA as a vicious walker problem in opposite potentials.

scientific article

Bulk-mediated diffusion on a planar surface: full solution

scientific article published in October 2012

Bulk-mediated surface diffusion along a cylinder: Propagators and crossovers

scientific article published on 27 April 2009

Burst statistics in an early biofilm quorum sensing model: the role of spatial colony-growth heterogeneity

scientific article published on 19 August 2019

Chaperone-assisted translocation.

scientific article published in June 2004

Comment on "Anomalous heat conduction and anomalous diffusion in one-dimensional systems".

scientific article

Comment on "Why is the DNA denaturation transition first order?"

scientific article published on 18 April 2003

Conservative random walks in confining potentials

scientific article published on 30 November 2018

Correlated continuous-time random walks in external force fields.

scientific article published on 2 May 2012

Corrigendum: Real sequence effects on the search dynamics of transcription factors on DNA

scientific article published on 26 August 2015

Coupled dynamics of DNA breathing and of proteins that selectively bind to single-stranded DNA.

scientific article published on 27 September 2005

Critical adsorption of periodic and random polyampholytes onto charged surfaces

scientific article published on 21 August 2017

Critical adsorption of polyelectrolytes onto charged Janus nanospheres ⬇️

scientific article published on 23 June 2014

DNA bubble dynamics as a quantum Coulomb problem.

scientific article published on 15 February 2007

Deformation propagation in responsive polymer network films. ⬇️

scientific article

Denaturation transition of stretched DNA

scientific article published on 09 January 2008

Determining the DNA stability parameters for the breathing dynamics of heterogeneous DNA by stochastic optimization

scientific article published on 01 October 2011

Diffusion of Integral Membrane Proteins in Protein-Rich Membranes

scientific article published on 19 August 2017

Diffusion of finite-size particles in two-dimensional channels with random wall configurations

scientific article published in April 2014

Diffusion on random-site percolation clusters: theory and NMR microscopy experiments with model objects.

scientific article published on 25 January 2002

Directed motion emerging from two coupled random processes: translocation of a chain through a membrane nanopore driven by binding proteins.

scientific article published on 4 November 2005

Directedeness, correlations, and daily cycles in springbok motion: From data via stochastic models to movement prediction

scientific article published on 7 November 2023

Distance matters: the impact of gene proximity in bacterial gene regulation

scientific article published on 10 May 2013

Distributed-order diffusion equations and multifractality: Models and solutions

scientific article published on 7 October 2015

Dynamic approach to DNA breathing.

scientific article published in December 2005

Dynamics of DNA breathing: weak noise analysis, finite time singularity, and mapping onto the quantum Coulomb problem.

scientific article published on 21 December 2007

Effective surface motion on a reactive cylinder of particles that perform intermittent bulk diffusion

scientific article published on 01 May 2011

Equilibrium shapes of flat knots

scientific article published on 19 April 2002

Ergodicity breaking and particle spreading in noisy heterogeneous diffusion processes ⬇️

scientific article published in April 2015

Ergodicity, rejuvenation, enhancement, and slow relaxation of diffusion in biased continuous-time random walks

scientific article published on 01 August 2018

Exact solution of a linear molecular motor model driven by two-step fluctuations and subject to protein friction

scientific article published on 16 August 2004

Facilitated Diffusion of Transcription Factor Proteins with Anomalous Bulk Diffusion

scientific article published on 20 January 2017

Facilitated diffusion with DNA coiling.

scholarly article

Finite-time effects and ultraweak ergodicity breaking in superdiffusive dynamics

scientific article published on 10 January 2013

First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time ⬇️

scientific article published on 8 February 2016

First passage time distribution of chaperone driven polymer translocation through a nanopore: homopolymer and heteropolymer cases

scientific article published in December 2011

First passage time of N excluded-volume particles on a line

scientific article published on 17 October 2005

First passages in bounded domains: When is the mean first passage time meaningful?

scientific article published on 27 September 2012

First-passage statistics for aging diffusion in systems with annealed and quenched disorder. ⬇️

scientific article published on 28 April 2014

Fluctuations of random walks in critical random environments

scientific article published on 01 August 2018

Force-extension relations for polymers with sliding links

scientific article published on 15 August 2002

Fractal dimension and localization of DNA knots

scientific article published on 29 January 2007

Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries.

scientific article published in February 2010

From continuous time random walks to the fractional fokker-planck equation

scientific article published in January 2000

Gaussianity Fair: The Riddle of Anomalous yet Non-Gaussian Diffusion

scientific article published on 5 January 2017

Generalised Geometric Brownian Motion: Theory and Applications to Option Pricing

scientific article published on 18 December 2020

Generalized chapman-kolmogorov equation: A unifying approach to the description of anomalous transport in external fields

scientific article published in November 2000

Generalized facilitated diffusion model for DNA-binding proteins with search and recognition states

scientific article published on 15 May 2012

Geometry controlled anomalous diffusion in random fractal geometries: looking beyond the infinite cluster

scientific article published on 27 October 2015

Gumbel central limit theorem for max-min and min-max

scientific article published on 01 August 2019

Helical packaging of semiflexible polymers in bacteriophages

scientific article published on 26 February 2004

Heterogeneous biological membranes regulate protein partitioning via fluctuating diffusivity

scientific article published in August 2023

How DNA coiling enhances target localization by proteins

scientific article

How molecular motors work in the crowded environment of living cells: coexistence and efficiency of normal and anomalous transport

scientific article

How subdiffusion changes the kinetics of binding to a surface.

scientific article published on August 2009

In vivo anomalous diffusion and weak ergodicity breaking of lipid granules.

scientific article published on 25 January 2011

In vivo facilitated diffusion model

scientific article

In vivo non-specific binding of lambda CI and Cro repressors is significant.

scientific article published in April 2004

Inequivalence of time and ensemble averages in ergodic systems: exponential versus power-law relaxation in confinement

scientific article published on 27 February 2012

Interactions of rod-like particles on responsive elastic sheets.

scientific article published on 5 August 2016

Intermembrane docking reactions are regulated by membrane curvature.

scientific article published on December 2011

Inverted critical adsorption of polyelectrolytes in confinement

scientific article published on June 2015

Kinetics of polymer looping with macromolecular crowding: effects of volume fraction and crowder size. ⬇️

scientific article published in January 2015

Kramers-like escape driven by fractional Gaussian noise

scientific article published on 19 April 2010

Leapover lengths and first passage time statistics for Lévy flights.

scientific article published on 19 October 2007

Levy flights do not always optimize random blind search for sparse targets

scientific article (publication date: 25 February 2014)

Linear response, fluctuation-dissipation, and finite-system-size effects in superdiffusion

scientific article

Lévy noise-driven escape from arctangent potential wells

scientific article published on 01 December 2020

Manipulating single enzymes by an external harmonic force

scientific article published on 19 April 2007

Manipulation and Motion of Organelles and Single Molecules in Living Cells.

scientific article

Master equation approach to DNA breathing in heteropolymer DNA.

scientific article published on 16 February 2007

Microscopic origin of the logarithmic time evolution of aging processes in complex systems

scientific article published on 14 May 2013

Modelling experimentally measured of ciprofloxacin antibiotic diffusion in Pseudomonas aeruginosa biofilm formed in artificial sputum medium

scientific article published on 03 December 2020

Molecular motors pulling cargos in the viscoelastic cytosol: how power strokes beat subdiffusion

scientific article published on August 2014

Molecular switching with nonexponential relaxation patterns: a random walk approach

scientific article published on 19 December 2000

Natural cutoff in Lévy flights caused by dissipative nonlinearity

scientific article published on 19 July 2005

Noisy continuous time random walks

scientific article published in September 2013

Non-Brownian diffusion in lipid membranes: Experiments and simulations

scientific article

Non-Gaussian, non-ergodic, and non-Fickian diffusion of tracers in mucin hydrogels

scientific article published on 01 March 2019

Non-Gaussian, transiently anomalous, and ergodic self-diffusion of flexible dumbbells in crowded two-dimensional environments: Coupled translational and rotational motions

scientific article published in 2021

Non-Gaussianity, population heterogeneity, and transient superdiffusion in the spreading dynamics of amoeboid cells

scientific article published on 01 September 2018

Non-universal tracer diffusion in crowded media of non-inert obstacles. ⬇️

scientific article published on 4 December 2014

Nonergodicity, fluctuations, and criticality in heterogeneous diffusion processes ⬇️

scientific article published on 28 July 2014

Nonspecific binding of the OR repressors CI and Cro of bacteriophage lambda.

scientific article

Numerical approach to unbiased and driven generalized elastic model

scientific article

Optimal target search on a fast-folding polymer chain with volume exchange

scientific article published on 22 December 2005

Optimization and universality of Brownian search in a basic model of quenched heterogeneous media. ⬇️

scientific article published on 21 May 2015

Particle invasion, survival, and non-ergodicity in 2D diffusion processes with space-dependent diffusivity

scientific article published on March 2014

Persistent Sinai-type diffusion in Gaussian random potentials with decaying spatial correlations

scientific article published on 22 November 2017

Poisson-process limit laws yield Gumbel max-min and min-max

scientific article published on 01 August 2019

Polymer physics of the cell. Preface

scientific article published on 01 July 2009

Polymer translocation into a fluidic channel through a nanopore ⬇️

scientific article published on August 27, 2010

Polymer translocation into laterally unbounded confined environments

scientific article published on 01 August 2010

Polymer translocation out of confined environments

scientific article published on 11 August 2009

Polymer translocation: the first two decades and the recent diversification

scientific article

Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes

scientific article

Power spectral density of a single Brownian trajectory: what one can and cannot learn from it

Probability density of the fractional Langevin equation with reflecting walls

scientific article published on 01 October 2019

Protein Crowding in Lipid Bilayers Gives Rise to Non-Gaussian Anomalous Lateral Diffusion of Phospholipids and Proteins

Quantification of noise in bifunctionality-induced post-translational modification

scientific article

Quantifying non-ergodic dynamics of force-free granular gases ⬇️

scientific article published on 7 August 2015

Quantifying non-ergodicity of anomalous diffusion with higher order moments.

scientific article published on 20 June 2017

Quantitative analysis of single particle trajectories: mean maximal excursion method

scientific article

Random time-scale invariant diffusion and transport coefficients

scientific article

Real sequence effects on the search dynamics of transcription factors on DNA.

scientific article published on 8 July 2015

Scaled Brownian motion: a paradoxical process with a time dependent diffusivity for the description of anomalous diffusion ⬇️

scientific article published in August 2014

Sequence dependence of the binding energy in chaperone-driven polymer translocation through a nanopore

scientific article published on 10 January 2011

Sequence sensitivity of breathing dynamics in heteropolymer DNA.

scientific article published on 21 September 2006

Signal focusing through active transport.

scientific article published on 2 July 2015

Single DNA denaturation and bubble dynamics

article

Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking

scientific article published on 4 January 2011

Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary

scientific article published on 16 May 2007

Subdiffusive transport close to thermal equilibrium: from the langevin equation to fractional diffusion

scientific article published in June 2000

Supercoiling induces denaturation bubbles in circular DNA

scientific article published on 11 November 2010

Superdiffusion dominates intracellular particle motion in the supercrowded cytoplasm of pathogenic Acanthamoeba castellanii.

scientific article

Target search of N sliding proteins on a DNA

scientific article

The RARE model: A generalized approach to random relaxation processes in disordered systems

scientific article published on 01 December 2012

The chain sucker: translocation dynamics of a polymer chain into a long narrow channel driven by longitudinal flow

scientific article published on 01 April 2011

The diffusion of doxorubicin drug molecules in silica nanoslits is non-Gaussian, intermittent and anticorrelated

scientific article published on 19 October 2020

The future is noisy: the role of spatial fluctuations in genetic switching

scientific article published on 23 July 2001

The random walk's guide to anomalous diffusion: a fractional dynamics approach

article

The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

Tight and loose shapes in flat entangled dense polymers

scientific article published on 01 October 2003

Tightness of slip-linked polymer chains

scientific article published on 12 June 2002

Time averages and their statistical variation for the Ornstein-Uhlenbeck process: Role of initial particle distributions and relaxation to stationarity

scientific article published on 01 August 2018

Towards a full quantitative description of single-molecule reaction kinetics in biological cells

scientific article published on 01 June 2018

Towards deterministic equations for Lévy walks: the fractional material derivative

scientific article published on 16 January 2003

Transient aging in fractional Brownian and Langevin-equation motion.

scientific article published on 12 December 2013

Transient superdiffusion of polydisperse vacuoles in highly motile amoeboid cells

scientific article published on 01 April 2019

Trapping of diffusing particles by periodic absorbing rings on a cylindrical tube

scientific article published on 01 May 2019

Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusion.

scientific article published on 27 July 2016

Variance-corrected Michaelis-Menten equation predicts transient rates of single-enzyme reactions and response times in bacterial gene-regulation

scientific article

When translocation dynamics becomes anomalous

scientific article published in October 2003

Wonderful world of single biopolymer thermodynamics. Comment on "Biophysical characterization of DNA binding from single molecule force measurements" by K.R. Chaurasiya et al

article

Paulina is supported by:

About Paulina

Help