10.1109/TCBB.2012.91
Henzinger, Thomas A
Thomas A
Henzinger0000−0002−2985−7724
Mateescu, Maria
Maria
Mateescu
The propagation approach for computing biochemical reaction networks
IEEE
2012
2018-12-11T11:56:52Z
2019-11-14T08:42:20Z
journal_article
https://research-explorer.app.ist.ac.at/record/2302
https://research-explorer.app.ist.ac.at/record/2302.json
22778152
We introduce propagation models (PMs), a formalism able to express several kinds of equations that describe the behavior of biochemical reaction networks. Furthermore, we introduce the propagation abstract data type (PADT), which separates concerns regarding different numerical algorithms for the transient analysis of biochemical reaction networks from concerns regarding their implementation, thus allowing for portable and efficient solutions. The state of a propagation abstract data type is given by a vector that assigns mass values to a set of nodes, and its (next) operator propagates mass values through this set of nodes. We propose an approximate implementation of the (next) operator, based on threshold abstraction, which propagates only "significant" mass values and thus achieves a compromise between efficiency and accuracy. Finally, we give three use cases for propagation models: the chemical master equation (CME), the reaction rate equation (RRE), and a hybrid method that combines these two equations. These three applications use propagation models in order to propagate probabilities and/or expected values and variances of the model's variables.