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ACKNOWLEDGMENT
TheworkwassupportedbytheGrant-in-AidforScientific Research((C)18K04208),JapanSocietyforthePromotionof Science.
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[3] [4] [5]
[6] [7] [8] [9]
[10] [1] [12]
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A.M.BorlandandX.Yang:“Informingtheimprovement佃 dbiodesign ofcrasulaceanacidmetabolismviasystemdynarnicsmodeling",New phytologist,20:946-ー949(2013).
B. Blasius,R. Nef f,F. Beck,and U. Lut tge :“ Oscil latory model of crasulaceanacidmetabolismwithadynamichysteresisswitch",Proc. R.Soc.Lond.B,26:93-101(19). F.Beck,B.Blasius,U.Lutge,R.Nef,andU.Rascher:"Stochastic noiseinterferscoherentlywithamodelbiologicalclockandproduces specificdynamicbehaviour",Proc.R.Soc.Lond.B,268:1307-1313 (201).
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R.Sakamoto,A.Goto,H.SuemitsuandT.Matsuo:“PhaseShiftof BiologicalRhythminCrasulaceanAcidMetabolismbyControling LihjtIntensity",Proc.01SICE2013,783-786,2013.
R.Sakamoto,C.Matoba,H.Suemitsu,andT.Matsuo“:FedbackControl ofBiologicalRhythminCrasulaceanAcidMetabolismbyC02-Uptake Signal",IFAC-PapersOnLine,48-18,59-64(2015).
H.Fukuda,J.Kodama,andS.Kai “Circadianrhythmformation inplantsedling:globalsynchronizationandbifurcationasacoupled nonlinearoscilatorsystem",BioSystems,77,41-46,204.
S.Hashizu,H.Suemitsu,and T.Matsuo, "Cel Synchronization of Crasulacean Acid Metabolism plant with Fedback Loop",ICT- ROB0T2016,ThCT2.1,Sept7-9,Bexico,Busan,Korea(2016).
A.M.Borland,H.-B.Guo,X.Yang,and1.c.Cushman“:Orchestration ofcarbohydrateprocesingforcrasulaceanacidmetabolismぺCurent OpinioninPlantBiology,31,18-124(2016).
U.Rascher,M.-T.Hu,仕 K.Siebke,B.Osmond,F.Beck,andU.Lutge :“ Spatiotemporal variation of metabolism in a plant circadian rhythm: Thebiologicalclockasanasemblyofcoupledindividualoscilators, PNAS,98-20,1801-18
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Fig. 13. (midle)decisionvariables,(botom)Jg,品 (t).
v. CONCLUSION
In this paper,w e presented the model of the sum of the C O2uptakesofC A Mplantsasalinearcombinationofdelayed oscilationwavesofcels.Next,weproposedthecontinuous- timemomentumgradientdescentforsearchingaminimumof theobjectivefunctionandapplythisoptimizationmethodto thesignalseparationproblem.
time
Time evolution of real-time optimizer, (top) objective function,
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