Berlin 2018 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 15: Postersession III
BP 15.74: Poster
Dienstag, 13. März 2018, 14:00–16:00, Poster B
Efficiency and sensory capacity of molecular sensors with thermal noise — •Andreas Ehrmann1, David Hartich2, and Udo Seifert1 — 1II. Institut für Theoretische Physik, Universität Stuttgart, Germany — 2Max Planck Institute for Biophysical Chemistry, Göttingen, Germany
For a molecular sensory system following an external stochastic signal, we examine the efficiency and sensory capacity [1]. Within the framework of stochastic thermodynamics of bipartite systems, the efficiency relates the rate with which the sensor learns about the signal to the free energy that is dissipated by the sensor. On the other hand, the sensory capacity is a purely information theoretic quantity that achieves its maximum value 1 if the instantaneous state of the sensor contains as much information about a signal as the whole time-series of the sensor. For a two state sensor estimating a fluctuating ligand concentration as signal, which is modeled by a Langevin equation, the maximal sensory capacity is shown to be achieved if the time scales of signal and sensor are almost equal, and if the noise amplitude of the signal is small enough. We show that the addition of a dissipative second component to the sensor, which serves as a memory, increases the sensory capacity. We compare our results to an analytically solvable model, in which signal, sensor and memory are approximated with coupled linear Langevin equations [1].
[1] D. Hartich, A. C. Barato, and U. Seifert, Phys. Rev E 93, 022116 (2016)