naa a22 4500 510774199 CHVBK 20180411083225.0 cr unu---uuuuu 180411e20131201xx s 000 0 eng 10.1007/s40295-015-0059-8 doi (NATIONALLICENCE)springer-10.1007/s40295-015-0059-8 A Hybrid Parameter Estimation Algorithm for S-System Model of Gene Regulatory Networks [Elektronische Daten] [Jer-Nan Juang, Steven Shiau, Wesson Wu] The reconstruction of a gene regulatory network expressed in terms of a S-system model may be accomplished by a simple task of parameter estimation. Empirical data indicate that biological gene networks are sparsely connected and the average number of upstream-regulators per gene is less than two, implying that most of parameter variables in the S-system model are zero. It is thus desired to search for a parameter estimation algorithm that is capable of identifying the connectivity of the gene network and determining its reduced number of non-zero parameters. A hybrid algorithm is presented for identification and parameter estimation of gene network structure described by a S-system model. It combines an optimization process with a system identification method commonly used in the aerospace community. Constraint equations in a matrix form are formulated to deal with the steady state and the network connectivity conditions. The system parameter vector resides in the null space of the constraint matrix. The resulting network structure and system parameters are optimally tuned by minimizing the error of state time history. A numerical experiment is given to illustrate the hybrid parameter estimation algorithm. American Astronautical Society, 2015 S-system model nationallicence Parameter estimation nationallicence System identification nationallicence Gene regulatory network nationallicence Juang Jer-Nan Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan aut Shiau Steven Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan aut Wu Wesson Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan aut The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 559-576 0021-9142 60:3-4<559 2013 60 40295 https://doi.org/10.1007/s40295-015-0059-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s40295-015-0059-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Juang Jer-Nan Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan aut NATIONALLICENCE 700 1- Shiau Steven Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan aut NATIONALLICENCE 700 1- Wu Wesson Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan aut NATIONALLICENCE 773 0- The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 559-576 0021-9142 60:3-4<559 2013 60 40295 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer