# Sep 30, 2014: Tobias Heindel: Beyond the Rate Equation -- Average motif counts in Markov chains of graph transformation systems

September 30, 2014 | Beyond the Rate Equation -- Average motif counts in Markov chains of graph transformation systems |

Room: Carre 3A | Tobias Heindel |

12:30-13:30 | The dynamics of the average molecule count of a chemical species in a test tube over time is the paradigm example for motif counts in continuous time systems with discrete state space. More generally, we can consider average counts of "observable" graph motifs in Markov processes that are specified by graph transformation systems (GTS). Such average counts can be used to measure network flows, protein production in cells, and the speed of DNA-walkers. |