Talks and Poster Presentations (with Proceedings-Entry):
A. Murthy, I. Ariful, E. Bartocci, E. Cherry, F. Fenton, J. Glimm, S. Smolka, R. Grosu:
"Approximate Bisimulations for Sodium Channel Dynamics";
Talk: The 10th ACM International Conference on Computational Methods in Systems Biology (CMSB 2012),
- 2012-10-05; in: "Proc. of CMSB 2012: the 10th ACM International Conference on Computational Methods in Systems Biology",
LNCS / Springer,
We show that in the context of the Iyer et al. 67-variable cardiac myocycte model (IMW), it is possible to replace the detailed 13-state probabilistic model of the sodium channel dynamics with a much simpler Hodgkin-Huxley (HH)-like two-state sodium channel model, while only incurring a bounded approximation error. The technical basis for this result is the construction of an approximate bisimulation between the HH and IMW sodium channel models, both of which are input-controlled (voltage in this case) CTMCs. The construction of the appropriate approximate bisimulation, as well as the overall result regarding the behavior of this modified IMW model, involves: (1) Identification of the voltage-dependent parameters of the m and h gates in the HH-type channel via a two-step fitting process, carried out over more than 22,000 representative observational traces of the IMW channel. (2) Proving that the distance between observations of the two channels is bounded. (3) Exploring the sensitivity of the overall IMW model to the HH-type sodium-channel approximation. Our extensive simulation results experimentally validate our findings, for varying IMW-type input stimuli.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.