000 03264nam a22005895i 4500
001 978-3-319-15606-4
003 DE-He213
005 20200420221259.0
007 cr nn 008mamaa
008 150225s2015 gw | s |||| 0|eng d
020 _a9783319156064
_9978-3-319-15606-4
024 7 _a10.1007/978-3-319-15606-4
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTEC004000
_2bisacsh
082 0 4 _a519
_223
100 1 _aAhsen, Mehmet Eren.
_eauthor.
245 1 0 _aAnalysis of Deterministic Cyclic Gene Regulatory Network Models with Delays
_h[electronic resource] /
_cby Mehmet Eren Ahsen, Hitay �Ozbay, Silviu-Iulian Niculescu.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkh�auser,
_c2015.
300 _aXIII, 94 p. 15 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Electrical and Computer Engineering,
_x2191-8112
505 0 _aPreface -- Introduction -- Basic Tools from Systems and Control Theory -- Functions with Negative Schwarzian Derivatives -- Deterministic ODE-Based Model with Time Delay -- Gene Regulatory Networks under Negative Feedback -- Gene Regulatory Networks under Positive Feedback -- Summary and Concluding Remarks -- References.
520 _aThis brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. An introductory chapter provides some insights into molecular biology and GRNs. The mathematical tools necessary for studying the GRN model are then reviewed, in particular Hill functions and Schwarzian derivatives. One chapter is devoted to the analysis of GRNs under negative feedback with time delays and a special case of a homogenous GRN is considered. Asymptotic stability analysis of GRNs under positive feedback is then considered in a separate chapter, in which conditions leading to bi-stability are derived. Graduate and advanced undergraduate students and researchers in control engineering, applied mathematics, systems biology and synthetic biology will find this brief to be a clear and concise introduction to the modeling and analysis of GRNs.
650 0 _aMathematics.
650 0 _aGene expression.
650 0 _aSystem theory.
650 0 _aBiomathematics.
650 0 _aControl engineering.
650 0 _aRobotics.
650 0 _aMechatronics.
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aMathematical and Computational Biology.
650 2 4 _aGene Expression.
650 2 4 _aControl, Robotics, Mechatronics.
700 1 _a�Ozbay, Hitay.
_eauthor.
700 1 _aNiculescu, Silviu-Iulian.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319156057
830 0 _aSpringerBriefs in Electrical and Computer Engineering,
_x2191-8112
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-15606-4
912 _aZDB-2-ENG
942 _cEBK
999 _c53098
_d53098