Rohlf, Thimo, Bornholdt, Stefan
Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation...
Rohlf, Thimo, Winkler, Christopher R.
Genetic regulation is a key component in development, but a clear understanding of the structure and dynamics of genetic networks is not yet at hand. In this paper we investigate these properties...
Self-organized criticality and adaptation in discrete dynamical networks (2008)
Rohlf, Thimo, Bornholdt, Stefan
It has been proposed that adaptation in complex systems is optimized at the critical boundary between ordered and disordered dynamical regimes. Here, we review models of evolving dynamical networks...
Assessing Random Dynamical Network Architectures for Nanoelectronics (2008)
Teuscher, Christof, Gulbahce, Natali, Rohlf, Thimo
Independent of the technology, it is generally expected that future nanoscale devices will be built from vast numbers of densely arranged devices that exhibit high failure rates. Other than that,...
Genetic regulation is a key component in development, but a clear understanding of the structure and dynamics of genetic networks is not yet at hand. In this work we investigate these properties...
When correlations matter - response of dynamical networks to small perturbations (2008)
Rohlf, Thimo, Gulbahce, Natali, Teuscher, Christof
We systematically study and compare damage spreading for random Boolean and threshold networks under small external perturbations (damage), a problem which is relevant to many biological networks. We...
Stochastic Network Model of Receptor Cross-Talk Predicts Anti-Angiogenic Effects (2008)
Bauer, Amy L., Jackson, Trachette L., Jiang, Yi, Rohlf, Thimo
Cancer invasion and metastasis depend on angiogenesis. The cellular processes (growth, migration, and apoptosis) that occur during angiogenesis are tightly regulated by signaling molecules. Thus,...
We study an evolutionary algorithm that locally adapts thresholds and wiring in Random Threshold Networks, based on measurements of a dynamical order parameter. A control parameter $p$ determines the...
Critical Line in Random Threshold Networks with Inhomogeneous Thresholds (2007)
We calculate analytically the critical connectivity $K_c$ of Random Threshold Networks (RTN) for homogeneous and inhomogeneous thresholds, and confirm the results by numerical simulations. We find a...
Damage Spreading and Criticality in Finite Random Dynamical Networks (2007)
Rohlf, Thimo, Gulbahce, Natali, Teuscher, Christof
We systematically study and compare damage spreading at the sparse percolation (SP) limit for random boolean and threshold networks with perturbations that are independent of the network size $N$....
Long-range memory elementary 1D cellular automata: Dynamics and nonextensivity (2006)
Rohlf, Thimo, Tsallis, Constantino
We numerically study the dynamics of elementary 1D cellular automata (CA), where the binary state $\sigma_i(t) \in \{0,1\}$ of a cell $i$ does not only depend on the states in its local neighborhood...
Morphogenesis by coupled regulatory networks (2004)
Rohlf, Thimo, Bornholdt, Stefan
Based on a recently proposed non-equilibrium mechanism for spatial pattern formation [cond-mat/0312366] we study how morphogenesis can be controlled by locally coupled discrete dynamical networks,...
Statistical physics of dynamical networks and morphogenesis / (2004)
Kiel, University, Diss., 2004.
Self-organized pattern formation and noise-induced control from particle computation (2003)
Rohlf, Thimo, Bornholdt, Stefan
We propose a new non-equilibrium model for spatial pattern formation on the basis of local information transfer. Unlike standard models of pattern formation it is not based on the Turing instability....
Criticality in Random Threshold Networks: Annealed Approximation and Beyond (2002)
Rohlf, Thimo, Bornholdt, Stefan
Random Threshold Networks with sparse, asymmetric connections show complex dynamical behavior similar to Random Boolean Networks, with a transition from ordered to chaotic dynamics at a critical...
Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics (2000)
Bornholdt, Stefan, Rohlf, Thimo
We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average...
THIMO ROHLF, CHRISTOPHER R. WINKLER
Genetic regulation is a key component in development, but a clear understanding of the structure and dynamics of genetic networks is not yet at hand. In this paper we investigate these properties...