Journal Articles
2023

A. PerezCervera, B. Gutkin, P. J. Thomas, and B. Lindner
A Universal Description of Stochastic Oscillators. PNAS, accepted (2023);
see also
preprint on the arxiv

K. Engbring, D. Boriskovsky, Y. Roichman, and B. Lindner
A nonlinear fluctuationdissipation test for Markovian systems Phys. Rev. X, accepted (2023)

J. Ranft and B. Lindner
Theory of the asynchronous state of structured rotator networks and its application to recurrent networks of excitatory and inhibitory units 107, 044306 Phys. Rev. E (2023)

M. Su and B. Lindner
Active Brownian particles in a biased periodic potential. 46, 22 EPJE (2023)

M. Su, D. Bernardi, and B. Lindner
Pursuit problem with a stochastic prey that sees its chasers. New J. Phys. 25, 023033 (2023)

L. Ramlow. M. Falcke, and B. Lindner
An integrateandfire approach to Calcium signaling. Part I: Renewal model. Biophys. J. 122, 713 (2023)

J. Franzen, L. Ramlow, and B. Lindner
The steady state and response to a periodic stimulation of the firing rate for a theta neuron with correlated noise. J. Comp. Neurosci. 51 107 (2023)
2022

B. Lindner
Fluctuationdissipation relations for spiking neurons. Phys. Rev. Lett. 129, 198101 (2022)
 J. Ranft and B. Lindner
A selfconsistent analytical theory for rotator networks under stochastic forcing: effects of intrinsic noise and common input. Chaos 32 063131 (2022)
 G. Knoll and B. Lindner
Information Transmission in Recurrent Networks: Consequences of network noise for synchronous and asynchronous signal encoding
Phys. Rev. E 105 044411 (2022)

A. PerezCervera, B. Lindner, and P. Thomas
Quantitative comparison of the meanreturntime phase and the stochastic asymptotic phase for noisy oscillators. Biol. Cybern. 116 219 (2022)

K. Holzhausen, P. J. Thomas, and B. Lindner
Analytical approach to the meanreturntimephase of isotropic stochastic oscillators Phys. Rev. E 105 024202 Phys. Rev. E (2022)
[see also https://arxiv.org/abs/2108.07240]

K. Holzhausen, L. Ramlow, S. Pu, P. J. Thomas, and B. Lindner
Meanreturntime phase of a stochastic oscillator provides an approximate renewal description for the associated point process. Biol. Cybern. 116 235 (2022)

R. Kullmann, G. Knoll, D. Bernardi and B. Lindner
Critical current for giant Fano factor in neural models with bistable firing dynamics and implications for signal transmission. Phys. Rev. E 105 014416 (2022)

D. Bernardi and B. Lindner
Run with the Brownian Hare, Hunt with the Deterministic Hounds Phys. Rev. Lett. 128 040601 (2022) [see also the
synopsis on our paper]
2021

A. PerezCervera, B. Lindner, and P. Thomas
Isostables for stochastic oscillators Phys. Rev. Lett. 127 254101 (2021)

L. Ramlow and B. Lindner
Interspike interval correlations in neuron models with adaptation and correlated noise PLoS Comp. Biol. 17 e1009261 (2021)

S. Vellmer and B. Lindner
FokkerPlanck approach to neural networks and to decision problems  A unique method for stochastic models in computational and cognitive neuroscience
EPJST 30 2929 (2021)

V. N. Friedhoff, L. Ramlow, B. Lindner, and M. Falcke
Models of stochastic Ca spiking  Established approaches and inspirations from models of neuronal spikes EPJST 230 2911 (2021)

G. Knoll and B. Lindner Recurrencemediated Suprathreshold
Stochastic Resonance J. Comp. Neurosci. 49, 407 (2021)

L. SchimanskyGeier B. Lindner, S. Milster, and A. B. Neiman
Demixing of two species via reciprocally concentrationdependent diffusivity
Phys. Rev. E 103 022113 (2021)

D. Bernardi, G. Doron, M. Brecht, and B. Lindner
A network model of the barrel cortex combined with a differentiator detector reproduces features of the behavioral response to singleneuron stimulation
PLoS Computational Biology 17 e1007831 (2021)

G. N. Farah and B. Lindner
Exponentially distributed noise  its correlation function and its effect on nonlinear dynamics
J. Phys. A: Math. Theor. 54 035003 (2021)
2020

B. Karamched, M. Stickler, W. Ott, B. Lindner, Z. P. Kilpatrick, and K. Josic
Heterogeneity improves speed and accuracy in social networks
Phys. Rev. Lett. 125, 218302 (2020)

S. Vellmer and B. Lindner
Decisiontime statistics of nonlinear diffusion models: Characterizing long sequences of subsequent trials.
J. Math. Psychol. 99, 102445 (2020)

Z. Bostner, G. Knoll, and B. Lindner
Information filtering by coincidence detection of synchronous
population output: Analytical approaches to the coherence function of a twostage neural system
Biol. Cyb. 114, 403 (2020)

D. Bernardi and B. Lindner
Receiver operating characteristic curves for a simple stochastic process that carries a
static signal
Phys. Rev. E 101, 062132 (2020)
 R. Betkiewicz, B. Lindner, and M.P. Nawrot
Circuit and cellular mechanisms facilitate the transformation from dense to sparse coding in the insect olfactory system eNeuro 7, 030518 (2020)

A. Cao, B. Lindner, and P. Thomas
A partial differential equation for the meanfirstreturntime phase of planar stochastic oscillators. SIAM J. App. Math. 80, 422 (2020)
2019

M. A. Zaks and A. Pikovsky
Synchrony breakdown and noiseinduced oscillation death in ensembles of serially connected spintorque oscillators.
The European Physical Journal B 92, 160 (2019)

S. Vellmer and B. Lindner
Theory of spiketrain power spectra for multidimensional integrateandfire models. Phys. Rev. Research 1, 023024 (2019)

P. Thomas and B. Lindner
Phase descriptions of a multidimensional OrnsteinUhlenbeck process.
Phys. Rev. E 99 ,062221 (2019)

D. Bernardi and B. Lindner
Detecting singlecell stimulation in a large network of integrateandfire neurons.
Phys. Rev. E 99 , 032304 (2019)

M. Kähne, S. Rüdiger and B. Lindner
Gap junctions set the speed and nucleation rate of stage I retinal waves.
PLoS Comp. Biol. 15 , e1006355 (2019)

J. Bauermann and B. Lindner
Multiplicative noise is beneficial for the transmission of sensory signals in simple neuron models.
178, 25 Biosystems (2019)
2018
 R. F. O. Pena, M. A. Zaks and A. C. Roque
Dynamics of spontaneous activity in random networks with multiple neuron
subtypes and synaptic noise
Journal of Computational Neuroscience 45, 1 (2018)
 M. A. Zaks and A. Nepomnyashchy
Subdiffusive and superdiffusive transport in plane steady viscous flows
Proceedings of NAS, doi: 10.1073/pnas.1717225115(2018)
 V. S. Afraimovich, M. A. Zaks and M. I. Rabinovich
Mindtomind heteroclinic coordination:
Model of sequential episodic memory initiation
Chaos 28, 053107 (2018)
 A. van Meegen and B. Lindner
Selfconsistent correlations of randomly coupled rotators in the asynchronous state Phys. Rev. Lett. 121, 258302 (2018)

S. O. Voronenko and B. Lindner
Improved lower bound for the mutual information between signal and
neural spike count Biol. Cyb. 112 523 (2018)

R. F.O. Pena, S. Vellmer, D. Bernardi, A. C. Roque and B. Lindner
Selfconsistent scheme for spiketrain power spectra in heterogeneous sparse networks Front. Comput. Neurosci. 12 , 9 (2018)

M. Beiran, A. Kruscha, J. Benda and B. Lindner
Coding of timedependent stimuli in homogeneous and heterogeneous neural populations J. Comp. Neurosci. 44, 189 (2018)
2017

P. Pöschke, I. M. Sokolov, M. A. Zaks and A. A. Nepomnyashchy
Transport on intermediate time scales in flows with catâ€™s eye patterns Phys. Rev. E 96 , 062128 (2017)

F. Droste and B. Lindner
Updownlike background spiking can enhance neural information transmission eNeuro 4 , e028217 (2017)

J. Doose and B. Lindner
Evoking prescribed spike times in stochastic neurons Phys. Rev. E 36 , 032109 (2017)
 M. A. Zaks and A. Pikovsky Chimeras and complex cluster states in arrays of spintorque oscillators Scientific Reports 7 , 4648 (2017)
 L. Willareth, I. M. Sokolov, Y. Roichman and B. Lindner
Generalized fluctuationdissipation theorem as a test of the Markovianity of a system EPL 118 , 20001 (2017)
 D. Bernardi and B. Lindner Optimal detection of a localized perturbation in random networks of
integrateandfire neurons Phys. Rev. Lett. 118 , 268301 (2017)
 J. GinerBaldo, P. J. Thomas, and B. Lindner
Power spectrum of a noisy system close to a heteroclinic orbit J. Stat. Phys. 168 , 447 (2017)
 F. Droste and B. Lindner Exact analytical results for integrateandfire neurons driven by excitatory shot noise J. Comp. Neurosci. 43, 81 (2017)
 F. Droste and B. Lindner Exact results for power spectrum and susceptibility of a leaky integrateandfire neuron with twostate noise Phys. Rev. E 95 012411 (2017)
 S. Voronenko and B. Lindner Weakly nonlinear response of noisy neurons New J. Phys. 19 033038 (2017)
 J. Grewe, A. Kruscha, B. Lindner, and J. Benda Synchronous Spikes are necessary but not Sufficient for a Synchrony Code PNAS 114 E1977 (2017)
 F. Feudel, L. S. Tuckerman, M. A. Zaks and R. Hollerbach Hysteresis of dynamos in rotating spherical shell convection Physical Review Fluids 2 , 053902 (2017)
2016
 B. Lindner Mechanisms of information filtering in neural systems IEEE Transactions on Molecular, Biological, and MultiScale Communications 2 5 (2016)
 J. Doose, G. Doron, M. Brecht, and B. Lindner Noisy juxtacellular stimulation in vivo leads to reliable spiking and reveals highfrequency coding in single neurons J. Neurosci. 36 11120 (2016)
 A. Kruscha and B. Lindner Partial synchronous output of a neuronal population under weak common noise: analytical approaches to the correlation statistics Phys. Rev. E 94 , 022422 (2016)
 B. Lindner and I. M. Sokolov Giant diffusion of underdamped particles in a biased periodic potential Phys. Rev. E 93 , 042106 (2016)

S. Blankenburg and B. Lindner The effect of positive interspike interval correlations on neuronal information transmission Math. Biosci. Eng. 13 , 461 (2016)
2015

T. Schwalger and B. Lindner
Analytical approach to an integrateandfire model with spiketriggered adaptation Phys. Rev. E 92 , 062703 (2015)

A. Kruscha and B. Lindner
Spike count distribution in a neural population under weak common stimulation Phys. Rev. E 92 , 052817 (2015)

S. Blankenburg, W. Wu, B. Lindner, and S. Schreiber Information filtering in resonant neurons
J. Comput. Neurosci. 39 , 349 (2015)

S. Wieland, D. Bernardi, T. Schwalger, and B. Lindner
Slow fluctuations in recurrent networks of spiking neurons Phys. Rev. E 92 040901(R) (2015)

M. Götz, K. F. Hodeck, P. Witzel, A. Nandi, B. Lindner, and D. Heinrich Probing Cytoskeleton Dynamics by Intracellular Particle Transport Analysis Eur. J. Phys. Spec. Top. 224 , 1169 (2015)

R. M. Amro, B. Lindner, and A. B. Neiman Phase diffusion in unequally noisy coupled oscillators
Phys. Rev. Lett. 115 , 034101 (2015)

T. Schwalger, F. Droste, and B. Lindner
Statistical structure of neural spiking under nonPoissonian or other nonwhite stimulation
J. Comp. Neurosci. 39 , 29 (2015)

L. Shiau, T. Schwalger, and B. Lindner Interspike interval correlation in a stochastic exponential
integrateandfire model with subthreshold
and spiketriggered adaptation J. Comp. Neurosci. 38 589 (2015)

F. MüllerHansen, F. Droste, and B. Lindner
Statistics of a neuron model driven by asymmetric colored noise Phys. Rev. E 91 , 022718 (2015)

S. Voronenko, W. Stannat, and B. Lindner Shifting Spike Times or Adding and Deleting Spikes  How Different Types of Noise Shape Signal Transmission in Neural Populations J. Math. Neurosci. 5 ,1 (2015)

D. Bernardi and B. Lindner
A FrequencyResolved Mutual Information Rate and its Application to Neural Systems J. Neurophysiol. 113 , 1342 (2015)

P. J. Thomas and B. Lindner Reply Phys. Rev. Lett. 115 , 069402 (2015)
to the comment by A. Pikovsky to our article in PRL (2014) [see also previous versions of comment and reply on the arXiv]
2014

P. J. Thomas and B. Lindner Asymptotic Phase for Stochastic Oscillators Phys. Rev. Lett. 113 , 254101 (2014)

J. Kromer, R. D. Pinto, B. Lindner and L. SchimanskyGeier Noisecontrolled metastability in an excitable system with positive feedback EPL 108 , 20007 (2014)

B. Dummer, S. Wieland, and B. Lindner
Selfconsistent determination of the spiketrain power spectrum in a neural network with sparse connectivity Front. Comp. Neurosci. 8 , 104 (2014)

F. Fruth, F. Jülicher, and B. Lindner
An active oscillator model describes the statistics of spontaneous otoacoustic emissions
Biophys. J.107, 815 (2014)

F. Droste and B. Lindner
Integrateandfire neurons driven by asymmetric dichotomous noise
Biol. Cybern. 108 , 825 (2014)

J. A. Kromer, B. Lindner, and L. SchimanskyGeier
Eventtriggered feedback in noisedriven phase oscillators
Phys. Rev. E 89 , 032138 (2014)

A. Vüllings, E. Schöll, and B. Lindner
Spectra of delaycoupled heterogeneous noisy nonlinear oscillators
Eur.Phys. J. B 87 , 31 (2014)
2013

T. Schwalger and B. Lindner
Patterns of interval correlations in neural oscillators with adaptation Front. Comp. Neurosci. 7 , 164 (2013)

F. Droste, T. Schwalger, and B. Lindner
Interplay of two signals in a neuron with shortterm synaptic plasticity Front. Comp. Neurosci. 7 , 86 (2013)

C. Bauermeister, T. Schwalger, D.F. Russell, A.B. Neiman, and B. Lindner
Characteristic Effects of Stochastic Oscillatory Forcing on Neural Firing Statistics: Analytical Theory and Application to Paddlefish Electroreceptor Afferents PLoS Computational Biology 9 , 1003170 (2013)

T. Schwalger, D. Miklodi and B. Lindner
When the leak is weak  how the firstpassage statistics of a biased random walk can approximate the ISI statistics of an adapting neuron
Eur. Phys. J. Spec. Topics 222 , 2655 (2013)
2012
 N. Sharafi, J. Benda, and B. Lindner Information filtering by synchronous spikes in a neural population
J. Comp. Neurosci. 34 , 285 (2013) [see also Erratum: Information filtering by synchronous spikes in a neural population information transfer,
J. Comp. Neurosci. (2015)]

I. Kalinina , A. Nandi, P. Delivani, M. R. Chacon, A. Klemm, D. RamunnoJohnson, A. Krull, B. Lindner, N. Pavin, and I. M. TolicNorrelykke
Pivoting of microtubules around the spindle pole accelerates kinetochore capture
Nature Cell Biol. 15 , 82 (2012)

K. Fisch, T. Schwalger, B. Lindner, A. V. M. Herz, and J. Benda
Channel noise from both slow adaptation currents and fast currents is required to explain spikeresponse variability in a sensory neuron J. Neurosci. 32 , 17332 (2012)

A. Nandi,
D. Heinrich, and
B. Lindner,
Distributions of diffusion measures from a local meansquare displacement analysis
Phys. Rev. E 86 , 021926 (2012)

T. Schwalger, J. TianaAlsina, M. C. Torrent, J. GarciaOjalvo, and B. Lindner
Interspikeinterval correlations induced by twostate switching in an excitable system Eur. Phys. Lett. 99 , 10004 (2012)

K. Dierkes, F. Jülicher, and B. Lindner
A meanfield approach to elastically
coupled hair bundles Eur. Phys. J. E 35 , 37
(2012)

P. Romanczuk, M. Bär, W. Ebeling, B. Lindner, and L. SchimanskyGeier
Active Brownian Particles: From Individual to Collective Stochastic Dynamics
Eur. Phys. J. Spec. Topics 202 , 1 (2012)

P.S. Burada and B. Lindner
Escape rate of an active Brownian particle over a potential barrier
Phys. Rev. E 85 022102 (2012)

M. Otten,
A. Nandi,
D. Arcizet,
M. Gorelashvili,
B. Lindner,
and D. Heinrich
Local Motion Analysis Reveals Impact of the Dynamic Cytoskeleton on
Intracellular Subdiffusion
Biophys. J. 102 758 (2012)
Articles in proceedings and books; abstracts

M. A. Zaks and A. Nepomnyashchy
Anomalous transport in steady plane viscous flows: simple models
Chapter V in: "Advances in Dynamics, Patterns, Cognition: Challenges in Complexity" (Springer, 2017)

F. Fruth, F. Jülicher, and B. Lindner
Spontaneous otoacoustic emissions in an active nonlinear
cochlear model in the time domain
AIP Proceedings of the 12th International Mechanics of Hearing Workshop AIP Conf. Proc. 1703, 090013 (2015)

K. Dierkes und B. Lindner
Haariges Hören  Haarzellen im Innenohr lassen sich als aktives NichtgleichgewichtsSystem auffassen,
Physik Journal 13 , 37 (2014)

B. Lindner
LowPass Filtering of Information in the Leaky IntegrateandFire Neuron Driven by White Noise, in Visarath In, Antonio Palacios, Patrick Longhini (eds.)
International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012) (Springer, 2012)
Submitted
Edited volumes
B. Lindner, U. Erdmann, and I. Sokolov
The Dynamics of Nonlinear Stochastic Systems The European Physical Journal  Special Topics Vol. 187 (2010) >