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BP: Fachverband Biologische Physik
BP 26: Posters II
BP 26.49: Poster
Donnerstag, 28. Februar 2008, 17:00–19:30, Poster A
Which Network Connectivities generate a given Dynamics? II: Network Reconstruction — •Frank van Bussel1,2, Lishma Anand1,2, Raoul-Martin Memmesheimer1,2, and Marc Timme1,2 — 1Network Dynamics Group, MPI f. Dynamics & Self-Organization — 2Bernstein Center for Computational Neuroscience, Göttingen
We present two alternative perspectives towards understanding relations between structure and dynamics in neural networks. In the first contribution, we present a design method [1], that enables us to find all networks as well as the structurally optimal network that generate a given neural spiking dynamics.
In this second part, we present a method to reconstruct the connectivity of a given network from its response dynamics to external driving signals. For a given driving signal, measuring how the collective state changes, reveals information about how the units are interconnected [2]. Sufficiently many repetitions for different driving conditions yield the entire network connectivity from measuring the response dynamics only [3]. We discuss possible applications to dimensionally reduced time series from coupled high-dimensional systems.
[1] R.-M. Memmesheimer and M. Timme,
Phys. Rev. Lett. 97:188101 (2006); Physica D 224:182 (2006).
[2] M. Timme, Europhys. Lett. 76:367 (2006).
[3] M. Timme, Phys. Rev. Lett. 98:224101 (2007).