caa a22 4500 445842849 CHVBK 20180317145350.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s11047-009-9143-y doi (NATIONALLICENCE)springer-10.1007/s11047-009-9143-y Stochastic Petri net models of Ca2+ signaling complexes and their analysis [Elektronische Daten] [Ruth Lamprecht, Gregory Smith, Peter Kemper] Mathematical models of Ca2+ release sites derived from Markov chain models of intracellular Ca2+ channels exhibit collective gating reminiscent of the experimentally observed phenomenon of stochastic Ca2+ excitability (i.e., puffs and sparks). Ca2+ release site models are composed of a number of individual channel models whose dynamic behavior depends on the local Ca2+ concentration which is influenced by the state of all channels. We consider this application area to illustrate how stochastic Petri nets and in particular stochastic activity networks can be used to model dynamical phenomena in cell biology. We highlight how state-sharing composition operations as supported by the Möbius framework can represent both mean-field and spatial coupling assumptions in a natural manner. We investigate how state-of-the-art techniques for the numerical and simulative analysis of Markov chains associated with stochastic Petri nets scale when modeling Ca2+ signaling complexes of physiological size and complexity. Springer Science+Business Media B.V., 2009 Petri net nationallicence Stochastic activity networks nationallicence Ca2+ release sites nationallicence Lamprecht Ruth Department of Computer Science, College of William and Mary, 23187, Williamsburg, VA, USA aut Smith Gregory Department of Applied Sciences, College of William and Mary, 23187, Williamsburg, VA, USA aut Kemper Peter Department of Computer Science, College of William and Mary, 23187, Williamsburg, VA, USA aut Natural Computing Springer Netherlands 10/3(2011-09-01), 1045-1075 1567-7818 10:3<1045 2011 10 11047 https://doi.org/10.1007/s11047-009-9143-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11047-009-9143-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lamprecht Ruth Department of Computer Science, College of William and Mary, 23187, Williamsburg, VA, USA aut NATIONALLICENCE 700 1- Smith Gregory Department of Applied Sciences, College of William and Mary, 23187, Williamsburg, VA, USA aut NATIONALLICENCE 700 1- Kemper Peter Department of Computer Science, College of William and Mary, 23187, Williamsburg, VA, USA aut NATIONALLICENCE 773 0- Natural Computing Springer Netherlands 10/3(2011-09-01), 1045-1075 1567-7818 10:3<1045 2011 10 11047 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer