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Kilinc D, Demir A (2017) Noise in Neuronal and Electronic Circuits: A General Modeling Framework and Non-Monte Carlo Simulation Techniques. IEEE Trans Biomed Circuits Syst 11:958-974 [PubMed]

   A neuronal circuit simulator for non Monte Carlo analysis of neuronal noise (Kilinc & Demir 2018)

References and models cited by this paper

References and models that cite this paper

Anzill W,Russer P (1993) A general method to simulate noise in oscillators based on frequency domain techniques IEEE Trans. Microw. Theory Tech. 41(12):2256-2263

Arthur JV,Merolla PA,Akopyan F,Alvarez R,Cassidy A,Chandra S,Esser S,Imam N,Risk W,Rubin D,Manohar R,Modha D (2012) Building block of a programmable neuromorphic substrate: A digital neurosynaptic core Proc. 2012 Int. Joint Conf. Neural Netw. :1-8

Ascher UM,Petzold LR (1998) Computer methods for ordinary differential equations and differential-algebraic equations.

Attwell D, Laughlin SB (2001) An energy budget for signaling in the grey matter of the brain. J Cereb Blood Flow Metab 21:1133-45 [Journal] [PubMed]

Bartoloni N (1992) Markovian processes in aneuploids: I. Diploid populations. J Theor Biol 155:273-80 [PubMed]

Bower JM, Beeman D (1995) The Book of GENESIS: Exploring Realistic Neural Models with the GEneral NEural SImulation System. [Journal]

Brown E, Moehlis J, Holmes P (2004) On the phase reduction and response dynamics of neural oscillator populations. Neural Comput 16:673-715 [Journal] [PubMed]

Cafaro J, Rieke F (2010) Noise correlations improve response fidelity and stimulus encoding. Nature 468:964-7 [Journal] [PubMed]

Cassidy A,Andreou AG (2008) Dynamical digital silicon neurons Proc. 2008 IEEE Biomed. Circuits Syst. Conf :289-29

Chen YD, Hill TL (1973) Fluctuations and noise in kinetic systems. Application to K+ channels in the squid axon. Biophys J 13:1276-95 [Journal] [PubMed]

Clay JR, DeFelice LJ (1983) Relationship between membrane excitability and single channel open-close kinetics. Biophys J 42:151-7 [Journal] [PubMed]

Cooley J, Dodge F, Cohen H (1965) Digital computer solutions for excitable membrane models J Cell Comp Physiol 66:99-108

Cruz-Albrecht JM, Yung MW, Srinivasa N (2012) Energy-efficient neuron, synapse and STDP integrated circuits. IEEE Trans Biomed Circuits Syst 6:246-56 [Journal] [PubMed]

Daniel R, Rubens JR, Sarpeshkar R, Lu TK (2013) Synthetic analog computation in living cells. Nature 497:619-23 [Journal] [PubMed]

Dayan P, Abbott LF (2001) Theoretical Neuroscience. Computational and Mathematical Modeling of Neural Systems

Demir A,Gu C,Roychowdhury J (2010) Phase equations for quasi-periodic oscillators IEEE/ACM International conference on computer-aided design

Demir A,Mehrotra A,Roychowdhury J (2000) Phase noise in oscillators: a unifying theory and numerical methods for characterization IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 47(5):655-674

Demir A,Sangiovanni-Vincentelli A (1998) Analysis and simulation of noise in nonlinear electronic circuits and systems Kluwer Academic Publishers

Destexhe A, Mainen ZF, Sejnowski TJ (1994) Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. J Comput Neurosci 1:195-230 [PubMed]

   Application of a common kinetic formalism for synaptic models (Destexhe et al 1994) [Model]
   Kinetic synaptic models applicable to building networks (Destexhe et al 1998) [Model]

Destexhe A, Mainen ZF, Sejnowski TJ (1998) Kinetic models of synaptic transmission Methods In Neuronal Modeling, Koch C:Segev I, ed. pp.1

   Kinetic synaptic models applicable to building networks (Destexhe et al 1998) [Model]

Elf J, Ehrenberg M (2003) Fast evaluation of fluctuations in biochemical networks with the linear noise approximation. Genome Res 13:2475-84 [Journal] [PubMed]

Esfahani ZG, Gollo LL, Valizadeh A (2016) Stimulus-dependent synchronization in delayed-coupled neuronal networks. Sci Rep 6:23471 [Journal] [PubMed]

Faisal AA (2009) Stochastic simulation of neurons axons and action potentials Stochastic Methods in Neuroscience :297-343

Faisal AA, Selen LP, Wolpert DM (2008) Noise in the nervous system. Nat Rev Neurosci 9:292-303 [Journal] [PubMed]

Fitzhugh R (1965) A kinetic model of the conductance changes in nerve membrane J Cell Comp Physiol 66:111-118

Fox RF, Lu Yn (1994) Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 49:3421-3431 [PubMed]

Gajic Z,Qureshi MTJ (2008) Lyapunov matrix equation in system stability and control

Gardiner CW (1983) Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences

Gardner WA (1990) Introduction to Random Processes: With Applications to Signals and Systems

Gillespie DT (1976) A General method for numerically simulating the stochastic time evolution of coupledchemical reactions J Comput Phys 22:403-434

Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. Journal Of Physical Chemistry 81:2340-2361

Gillespie DT (2000) The chemical Langevin equation J Chem Phys 113:297-306

Gillespie DT (2007) Stochastic simulation of chemical kinetics. Annu Rev Phys Chem 58:35-55 [Journal] [PubMed]

Goldwyn JH, Imennov NS, Famulare M, Shea-Brown E (2011) Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. Phys Rev E Stat Nonlin Soft Matter Phys 83:041908 [Journal] [PubMed]

   On stochastic diff. eq. models for ion channel noise in Hodgkin-Huxley neurons (Goldwyn et al. 2010) [Model]

Goldwyn JH, Shea-Brown E (2011) The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS Comput Biol 7:e1002247 [Journal] [PubMed]

   Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011) (pylab) [Model]
   Stochastic versions of the Hodgkin-Huxley equations (Goldwyn, Shea-Brown 2011) [Model]

Gu C, Xu J, Rohling J, Yang H, Liu Z (2015) Noise Induces Oscillation and Synchronization of the Circadian Neurons. PLoS One 10:e0145360 [Journal] [PubMed]

Higham DJ (2008) Modeling and simulating chemical reactions SIAM Review 50(2):347-368

Hille B (2001) Ionic Channels of Excitable Membranes

Hines ML, Carnevale NT (2001) NEURON: a tool for neuroscientists. Neuroscientist 7:123-35 [Journal] [PubMed]

   Spatial gridding and temporal accuracy in NEURON (Hines and Carnevale 2001) [Model]

HODGKIN AL, HUXLEY AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117:500-44 [Journal] [PubMed]

   Squid axon (Hodgkin, Huxley 1952) (LabAXON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (NEURON) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SNNAP) [Model]
   Squid axon (Hodgkin, Huxley 1952) used in (Chen et al 2010) (R language) [Model]
   Squid axon (Hodgkin, Huxley 1952) (SBML, XPP, other) [Model]

Indiveri G, Linares-Barranco B, Hamilton TJ, van Schaik A, Etienne-Cummings R, Delbruck T, Liu SC, Dudek P, Häfliger P, Renaud S, Schemmel J, Cauwenberghs G, Arthur J, Hynna K, Folowosele F, Saighi S, Serrano-Gotarredona T, Wijekoon J, Wang Y, Boahen K (2011) Neuromorphic silicon neuron circuits. Front Neurosci 5:73 [Journal] [PubMed]

Izhikevich EM (2007) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting [Journal]

   Artificial neuron model (Izhikevich 2003, 2004, 2007) [Model]

Kandel ER, Schwartz JH, Jessell TM (2000) Principles of neural science (4th ed), Kandel ER:Schwartz JH:Jessell TM, ed.

Kärtner FX (1990) Analysis of white and f^-alpha noise in oscillators Int. J. Circuit Theory Appl. 18(5):485-519

Kilinc D,Demir A (2015) Simulation of noise in neurons and neuronal circuits Proceedings of the IEEE/ACM international conference on computer-aided design (ICCAD) :589-596 [Journal]

   A neuronal circuit simulator for non Monte Carlo analysis of neuronal noise (Kilinc & Demir 2018) [Model]

Koickal TJ,Hamilton JA,Tan SL,Covington JA,Gardner JW,Pearce TC (2007) Analog VLSI circuit implementation of an adaptive neuromorphic olfaction chip IEEE Trans. Circuits Syst. I Reg. Papers :60-73

Lennie P (2003) The cost of cortical computation. Curr Biol 13:493-7 [PubMed]

Linaro D, Storace M, Giugliano M (2011) Accurate and fast simulation of channel noise in conductance-based model neurons by diffusion approximation. PLoS Comput Biol 7:e1001102 [Journal] [PubMed]

   Accurate and fast simulation of channel noise in conductance-based model neurons (Linaro et al 2011) [Model]

Mahmutoglu AG,Demir A,Roychowdhury J (2013) Modeling and analysis of (nonstationary) low frequency noise in nano devices: A synergistic approach based on stochastic chemical kinetics Proc. 2013 IEEE/ACM Int. Conf. Comput.-Aided Design :500-507

Mahmutoglu AG, Demir A (2013) CIRSIUM: A circuit simulator in MATLAB® with object oriented design Proceedings of the 2013 9th Conference on Ph.D. Research in Microelectronics and Electronics (PRIME) :173-176 [Journal]

   A neuronal circuit simulator for non Monte Carlo analysis of neuronal noise (Kilinc & Demir 2018) [Model]

Mahmutoglu AG,Demir A (2014) Modeling and analysis of nonstationary low-frequency noise in circuit simulators: enabling non Monte Carlo techniques Proceedings of the international conference on computer-aided design :309-315

Mahmutoglu AG,Demir A (2015) Modeling and simulation of low-frequency noise in nano devices: Stochastically correct and carefully crafted numerical techniques IEEE Trans. Comput.-Aided Design Integr. Circuits Syst. 34(5):794-807

Mahmutoglu AG,Demir A (2016) Non Monte Carlo analysis of low-frequency noise: Exposition of intricate nonstationary behavior and comparison with legacy models IEEE Trans. Comput.-Aided Design Integr. Circuits Syst. 35(11):1825-1835

Mainen ZF, Sejnowski TJ (1995) Reliability of spike timing in neocortical neurons. Science 268:1503-6 [PubMed]

MATLAB version (2015) "MATLAB” version 2015b", 2015, [online] Available: [Journal]

Mead C (1989) Analog VLSI and neural systems.

Mead C (1990) Neuromorphic electronic systems Proc IEEE 78:1629-1636

Mitra S, Fusi S, Indiveri G (2009) Real-Time Classification of Complex Patterns Using Spike-Based Learning in Neuromorphic VLSI. IEEE Trans Biomed Circuits Syst 3:32-42 [Journal] [PubMed]

Nastov OJ (1999) Spectral methods for circuit analysis

Okumura M,Tanimoto H (1997) A time-domain method for numerical noise analysis of oscillators Proc. 1997 Asia South Pacific Design Autom. Conf. :477-482

Orio P, Soudry D (2012) Simple, fast and accurate implementation of the diffusion approximation algorithm for stochastic ion channels with multiple states. PLoS One 7:e36670 [Journal] [PubMed]

   Simple and accurate Diffusion Approximation algor. for stochastic ion channels (Orio & Soudry 2012) [Model]

Ramakrishnan S, Hasler PE, Gordon C (2011) Floating gate synapses with spike-time-dependent plasticity. IEEE Trans Biomed Circuits Syst 5:244-52 [Journal] [PubMed]

Roychowdhury J,Long D,Feldmann P (1998) Cyclostationary noise analysis of large RF circuits with multitone excitations IEEE J. Solid-State Circuits 33(3):324-336

Sakmann B, Neher E (1995) Single-channel Recording 2:487

Sarpeshkar R (2014) Analog synthetic biology Philosoph. Trans. Roy. Soc. A

Shanthikumar JG (1986) Uniformization and hybrid simulation/analytic models of renewal processes Oper. Res. 34(4):573-580

Sharpeshkar R (2010) Ultra low power bioelectronics: fundamentals, biomedical applications, and bio-inspired system

Stein RB, Gossen ER, Jones KE (2005) Neuronal variability: noise or part of the signal? Nat Rev Neurosci 6:389-97 [Journal] [PubMed]

Subrahmanyam M (1986) On a numerical method of solving the Lyapunov and Sylvester equations International Journal of Control 43(2):433-439

Tank DW, Hopfield JJ (1987) Collective computation in neuronlike circuits. Sci Am 257:104-14 [PubMed]

Teo JJ, Woo SS, Sarpeshkar R (2015) Synthetic Biology: A Unifying View and Review Using Analog Circuits. IEEE Trans Biomed Circuits Syst 9:453-74 [Journal] [PubMed]

Welsh DK, Takahashi JS, Kay SA (2010) Suprachiasmatic nucleus: cell autonomy and network properties. Annu Rev Physiol 72:551-77 [Journal] [PubMed]

White JA, Rubinstein JT, Kay AR (2000) Channel noise in neurons. Trends Neurosci 23:131-7 [PubMed]

Yu T,Cauwenberghs TG (2010) Analog VLSI biophysical neurons and synapses with programmable membrane channel kinetics IEEE Trans. Biomed. Circuits Syst. 4(3):139-148

Kilinc D, Demir A (2018) Spike timing precision of neuronal circuits. J Comput Neurosci 44:341-362 [Journal] [PubMed]

   A neuronal circuit simulator for non Monte Carlo analysis of neuronal noise (Kilinc & Demir 2018) [Model]

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