19 citations · 33 across the 6 of their papers we have counts for
6 papers
Adaptive conduction delays and phase locking in spiking Haken Lighthouse networks
Stephen Coombes, Rüdiger Thul, Stefan Ruschel +1
We develop a theory of phase-locked activity in delayed spiking networks using the Haken Lighthouse model as an analytically tractable event-based description of neural dynamics. F…
Oscillatory networks: Insights from piecewise-linear modeling
Stephen Coombes, Mustafa Sayli, Rüdiger Thul +3
There is enormous interest -- both mathematically and in diverse applications -- in understanding the dynamics of coupled oscillator networks. The real-world motivation of such net…
Adhesion-driven patterns in a calcium-dependent model of cancer cell movement
Katerina Kaouri, Vasiliki Bitsouni, Andreas Buttenschön +1
Cancer cells exhibit increased motility and proliferation, which are instrumental in the formation of tumours and metastases. These pathological changes can be traced back to malfu…
Evolution of moments and correlations in non-renewal escape-time processes
Wilhelm Braun, Rüdiger Thul, André Longtin
The theoretical description of non-renewal stochastic systems is a challenge. Analytical results are often not available or can only be obtained under strong conditions, limiting t…
Sign-changes as a universal concept in first-passage time calculations
Wilhelm Braun, Rüdiger Thul
First-passage time problems are ubiquitous across many fields of study including transport processes in semiconductors and biological synapses, evolutionary game theory and percola…
First passage times in integrate-and-fire neurons with stochastic thresholds
Wilhelm Braun, Paul C. Matthews, Rüdiger Thul
We consider a leaky integrate-and-fire neuron with deterministic subthreshold dynamics and a firing threshold that evolves as an Ornstein-Uhlenbeck process. The formulation of this…