TY - GEN
T1 - An application of system theory to stochastic models for first order chemical reactions
AU - Zhang, Xueying
AU - De Cock, Katrien
AU - Bugallo, Mónica F.
AU - Djurić, Petar M.
PY - 2005
Y1 - 2005
N2 - A new approach for the computation of probability distributions for coupled first order chemical reactions is introduced. The approach is based on system theory, where the system states are chemical species and the signals are probabilities. We derive the transfer functions of the so defined systems and show that they can be applied to various reaction environments. The use of block diagrams offers a clear, visual, and convenient way to decompose a complicated reaction system into simpler sub-systems and vice versa. Since the state of the system is defined as a molecule species instead of molecule population, with this method one can study chemical reactions involving any number of molecules.
AB - A new approach for the computation of probability distributions for coupled first order chemical reactions is introduced. The approach is based on system theory, where the system states are chemical species and the signals are probabilities. We derive the transfer functions of the so defined systems and show that they can be applied to various reaction environments. The use of block diagrams offers a clear, visual, and convenient way to decompose a complicated reaction system into simpler sub-systems and vice versa. Since the state of the system is defined as a molecule species instead of molecule population, with this method one can study chemical reactions involving any number of molecules.
UR - https://www.scopus.com/pages/publications/33646806493
U2 - 10.1109/ICASSP.2005.1416384
DO - 10.1109/ICASSP.2005.1416384
M3 - Conference contribution
AN - SCOPUS:33646806493
SN - 0780388747
SN - 9780780388741
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - V637-V640
BT - 2005 IEEE ICASSP '05 - Proc. - Design and Implementation of Signal Proces.Syst.,Indust. Technol. Track,Machine Learning for Signal Proces. Education, Spec. Sessions
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05
Y2 - 18 March 2005 through 23 March 2005
ER -