Citations for Reconstrucing sleep dynamics with data assimilation (Sedigh-Sarvestani et al., 2012)
| Legends: | Link to a Model | Reference cited by multiple papers |
Sedigh-Sarvestani M, Schiff SJ, Gluckman BJ (2012) Reconstructing mammalian sleep dynamics with data assimilation. PLoS Comput Biol 8:e1002788 [PubMed]
References and models cited by this paper | References and models that cite this paper | |||||
Abarbanel HD, Creveling DR, Jeanne JM (2008) Estimation of parameters in nonlinear systems using balanced synchronization. Phys Rev E Stat Nonlin Soft Matter Phys 77:016208 [Journal] [PubMed] Akesson BM, Jb_jrgensen , Poulsen NK, Sb_jrgensen (2008) A generalized autocovariance leastsquares method for Kalman filter tu Journal Of Process Control 18:769-779 Anderson JL, Anderson SL (2011) Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts American Meterological Society 127:2741-58 Behn CG, Brown EN, Scammell TE, Kopell NJ (2007) Mathematical model of network dynamics governing mouse sleep-wake behavior. J Neurophysiol 97:3828-40 [Journal] [PubMed] Borbély AA (1982) A two process model of sleep regulation. Hum Neurobiol 1:195-204 [PubMed] Chase RM, Pincus DB (2011) Sleep-related problems in children and adolescents with anxiety disorders. Behav Sleep Med 9:224-36 [Journal] [PubMed] Coogan AN, Thome J (2011) Chronotherapeutics and psychiatry: setting the clock to relieve the symptoms. World J Biol Psychiatry 12 Suppl 1:40-3 [Journal] [PubMed] Deng B, Wang J, Che Y (2009) A combined method to estimate parameters of neuron from a heavily noise-corrupted time series of active potential. Chaos 19:015105 [Journal] [PubMed] Deurveilher S, Semba K (2005) Indirect projections from the suprachiasmatic nucleus to major arousal-promoting cell groups in rat: implications for the circadian control of behavioural state. Neuroscience 130:165-83 [Journal] [PubMed] Diniz Behn CG, Booth V (2010) Simulating microinjection experiments in a novel model of the rat sleep-wake regulatory network. J Neurophysiol 103:1937-53 [Journal] [PubMed] Eberle C, Ament C (2011) The Unscented Kalman Filter estimates the plasma insulin from glucose measurement. Biosystems 103:67-72 [Journal] [PubMed] Fleshner M, Booth V, Forger DB, Diniz Behn CG (2011) Circadian regulation of sleep-wake behaviour in nocturnal rats requires multiple signals from suprachiasmatic nucleus. Philos Trans A Math Phys Eng Sci 369:3855-83 [Journal] [PubMed] Freestone DR, Aram P, Dewar M, Scerri K, Grayden DB, Kadirkamanathan V (2011) A data-driven framework for neural field modeling. Neuroimage 56:1043-58 [Journal] [PubMed] Fuller PM, Saper CB, Lu J (2007) The pontine REM switch: past and present. J Physiol 584:735-41 [Journal] [PubMed] Hattar S, Liao HW, Takao M, Berson DM, Yau KW (2002) Melanopsin-containing retinal ganglion cells: architecture, projections, and intrinsic photosensitivity. Science 295:1065-70 [Journal] [PubMed] Hofstra WA, de Weerd AW (2009) The circadian rhythm and its interaction with human epilepsy: a review of literature. Sleep Med Rev 13:413-20 [Journal] [PubMed] Hu X, Nenov V, Bergsneider M, Glenn TC, Vespa P, Martin N (2007) Estimation of hidden state variables of the Intracranial system using constrained nonlinear Kalman filters. IEEE Trans Biomed Eng 54:597-610 [Journal] [PubMed] Huang D (2004) Synchronization-based estimation of all parameters of chaotic systems from time series Phys Rev E 69:6-9 Huang ZL, Urade Y, Hayaishi O (2011) The role of adenosine in the regulation of sleep. Curr Top Med Chem 11:1047-57 [PubMed] Jacquez JA, Greif P (1985) Numerical parameter identifiability and estimability: Integrating identifiability, estimability, and optimal sampling design Mathematical Biosciences 77:201-227 Jatoth RK, Kumar TK (2009) Particle swarm optimization based tuning of unscented Kalman filter for bearings only trackin Advances in Recent Technologies in Communication and Computing, 2009. ARTCom 09. International Conference :444-448 Julier SJ, Uhlmann JK (1997) A new extension of the Kalman filter to nonlinear systems P Spie 3068:182-193 Kalman RE (1960) A new approach to linear filtering and prediction problems Trans ASME J Basic Eng 82:35-45 Kalman RE (1960) On the general theory of control systems Proc Ifac 1st International Congress 1:481-92 Kalnay E (2003) mospheric modeling, data assimilation and predictability :1-364 Konnur R (2003) Synchronization-based approach for estimating all model parameters of chaotic systems. Phys Rev E Stat Nonlin Soft Matter Phys 67:027204 [Journal] [PubMed] Korniyenko OV, Sharawi MS, Aloi DN (2005) Neural network based approach for tuning KALMAN filter Electro Information Technology, 2005 IEEE International Conference :1-5 Kothare SV, Zarowski M (2011) Sleep and epilepsy: common bedfellows. J Clin Neurophysiol 28:101-2 [Journal] [PubMed] Krout KE, Kawano J, Mettenleiter TC, Loewy AD (2002) CNS inputs to the suprachiasmatic nucleus of the rat. Neuroscience 110:73-92 [PubMed] Letellier C, Aguirre L (2010) Interplay between synchronization, observability, and dynamics. Phys Rev E 82: 1-11.
PubMedID: And Dynamics Phys Rev E 82:1-11 Letellier C, Aguirre LA (2002) Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables. Chaos 12:549-558 [Journal] [PubMed] Letellier C, Aguirre LA (2009) Symbolic observability coefficients for univariate and multivariate analysis. Phys Rev E Stat Nonlin Soft Matter Phys 79:066210 [Journal] [PubMed] Letellier C, Aguirre LA, Maquet J (2005) Relation between observability and differential embeddings for nonlinear dynamics. Phys Rev E Stat Nonlin Soft Matter Phys 71:066213 [Journal] [PubMed] Margaria G, Riccomagno E, White LJ (2004) Structural identifiability analysis of some highly structured families of statespace models using differential algebra. J Math Biol 49:433-54 [Journal] [PubMed] Maybhate A, Amritkar RE (1999) Use of synchronization and adaptive control in parameter estimation from a time series Phys Rev E 59:284-293 McCarley RW, Hobson JA (1975) Neuronal excitability modulation over the sleep cycle: a structural and mathematical model. Science 189:58-60 [PubMed] Mehra R (1970) On the identification of variances and adaptiveKalman filtering Ieee Transactions On Automatic Control 15:175-184 Michael AC, Borland LM (2007) Eectrochemical Methods for Neuroscience, Chapter 19 Miyoshi T (2011) he Gaussian approach to adaptive covariance ination and its implementation with the local ensemble transform Monthly Weather Review 139:1519-35 Mohamed AH, Schwarz (1999) Adaptive Kalman filtering for INS-GPS Journal Of Geodesy 73:193-203 Odelson BJ, Lutz A, Rawlings JB (2006) The autocovariance least-squares method for estimating covariances: application to model-based control of chemical reactors Ieee Transactions On Control Systems Technology 14:532-540 Ohno K, Sakurai T (2008) Orexin neuronal circuitry: role in the regulation of sleep and wakefulness. Front Neuroendocrinol 29:70-87 [Journal] [PubMed] Parlitz U (1996) Estimating model parameters from time series by autosynchronization. Phys Rev Lett 76:1232-1235 [Journal] [PubMed] Pecora LM, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Lett 64:821-824 [Journal] [PubMed] Phillips AJ, Robinson PA (2007) A quantitative model of sleep-wake dynamics based on the physiology of the brainstem ascending arousal system. J Biol Rhythms 22:167-79 [Journal] [PubMed]
Porkka-Heiskanen T, Strecker RE, McCarley RW (2000) Brain site-specificity of extracellular adenosine concentration changes during sleep deprivation and spontaneous sleep: an in vivo microdialysis study. Neuroscience 99:507-17 [PubMed] Quach M, Brunel N, d'Alché-Buc F (2007) Estimating parameters and hidden variables in non-linear state-space models based on ODEs for biological networks inference. Bioinformatics 23:3209-16 [Journal] [PubMed] Quigg M (2000) Circadian rhythms: interactions with seizures and epilepsy. Epilepsy Res 42:43-55 [PubMed] Rajamani MR, Rawlings JB (2009) Estimation of the disturbance structure from data using semidefinite programming and optimal weighting Automatica 45:142-148 Raue A, Becker V, Klingmüller U, Timmer J (2010) Identifiability and observability analysis for experimental design in nonlinear dynamical models. Chaos 20:045105 [Journal] [PubMed] Raue A, Kreutz C, Maiwald T, Bachmann J, Schilling M, Klingmüller U, Timmer J (2009) Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihood. Bioinformatics 25:1923-9 [Journal] [PubMed] Raue A, Kreutz C, Maiwald T, Klingmuller U, Timmer J (2011) Addressing parameter identifiability by model-based experimentation. IET Syst Biol 5:120-30 [Journal] [PubMed] Rempe MJ, Best J, Terman D (2010) A mathematical model of the sleep/wake cycle. J Math Biol 60:615-44 [Journal] [PubMed]
Saper CB, Scammell TE, Lu J (2005) Hypothalamic regulation of sleep and circadian rhythms. Nature 437:1257-63 [Journal] [PubMed] Schiff SJ (2010) Towards model-based control of Parkinson's disease. Philos Trans A Math Phys Eng Sci 368:2269-308 [Journal] [PubMed] Schiff SJ (2012) Neural Control Engineering :1-384 Simon D (2006) Optimal state estimation: Kalman, H [infinity] and nonlinear approaches :1-552 Sunderam S, Chernyy N, Peixoto N, Mason JP, Weinstein SL, Schiff SJ, Gluckman BJ (2007) Improved sleep-wake and behavior discrimination using MEMS accelerometers. J Neurosci Methods 163:373-83 [Journal] [PubMed] Tamakawa Y, Karashima A, Koyama Y, Katayama N, Nakao M (2006) A quartet neural system model orchestrating sleep and wakefulness mechanisms. J Neurophysiol 95:2055-69 [Journal] [PubMed] Toth B, Kostuk M, Meliza C, Margoliash D, Abarbanel H (2006) Dynamical estimation of neuron and network properties I: variational methods Variational Methods Biological Cybernetics 105:1-21 Ullah G, Schiff SJ (2010) Assimilating seizure dynamics. PLoS Comput Biol 6:e1000776 [Journal] [PubMed] Vaida F (2005) Parameter convergence for EM and MM algorithms Statistica Sinica 15:831-840 Van_domselaar B, Hemkar P (1975) Nonlinear parameter estimation in initial value problems Technical report. Mathematical Centre Amsterdam Verwey M, Amir S (2009) Food-entrainable circadian oscillators in the brain. Eur J Neurosci 30:1650-7 [Journal] [PubMed] Voss HU, Timmer J (2004) onlinear dynamical system identification from uncertain and indirect measurements International Journal Of Bifurcation And Chaos 14:1905-1933 Wang J (2000) Stochastic modeling for real-time kinematic GPS-GLONASS position Navigation 46:297-305 Wu_jcf (1983) On the convergence properties of the EM algorithm The Annals Of Statistics 11:95-103 | ||||||