26 citations · 57 across the 5 of their papers we have counts for
5 papers
Network location and clustering of genetic mutations determine chronicity in a stylized model of genetic diseases
Piotr Nyczka, Johannes Falk, Marc-Thorsten Hütt
In a highly simplified view, a disease can be seen as the phenotype emerging from the interplay of genetic predisposition and fluctuating environmental stimuli. We formalize this s…
Context in Synthetic Biology: Memory Effects of Environments with Mono-molecular Reactions
Johannes Falk, Leo Bronstein, Maleen Hanst +2
Synthetic biology aims at designing modular genetic circuits that can be assembled according to the desired function. When embedded in a cell, a circuit module becomes a small subn…
Analysis of stochastic bifurcations with phase portraits
Marc Mendler, Johannes Falk, Barbara Drossel
We propose a method to obtain phase portraits for stochastic systems. Starting from the Fokker-Planck equation, we separate the dynamics into a convective and a diffusive part. We…
A Minimal Model of Burst-Noise Induced Bistability
Johannes Falk, Marc Mendler, Barbara Drossel
We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between mon…
On the effect of the drive on self-organized criticality
Marco Winkler, Johannes Falk, Wolfgang Kinzel
The well known Sandpile model of self-organized criticality generates avalanches of all length and time scales, without tuning any parameters. In the original models the external d…