Abbott LF, Dayan P. (2001). Theoretical Neuroscience. Computational and Mathematical Modeling of Neural Systems.
Adler R. (1973). A study of locking phenomena in oscillators Proceedings of the IEEE. 61(10)
Attwell D, Laughlin SB. (2001). An energy budget for signaling in the grey matter of the brain. Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism. 21 [PubMed]
Bacci A, Huguenard JR. (2006). Enhancement of spike-timing precision by autaptic transmission in neocortical inhibitory interneurons. Neuron. 49 [PubMed]
Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]
Buzsáki G, Draguhn A. (2004). Neuronal oscillations in cortical networks. Science (New York, N.Y.). 304 [PubMed]
Chiu CS et al. (2002). Number, density, and surface/cytoplasmic distribution of GABA transporters at presynaptic structures of knock-in mice carrying GABA transporter subtype 1-green fluorescent protein fusions. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]
Cover TM, Thomas JA. (2012). Elements of information theory.
Deleuze C, Pazienti A, Bacci A. (2014). Autaptic self-inhibition of cortical GABAergic neurons: synaptic narcissism or useful introspection? Current opinion in neurobiology. 26 [PubMed]
Demir A. (2000). Floquet theory and non-linear perturbation analysis for oscillators with differential-algebraic equations International Journal of Circuit Theory and Applications. 28(2)
Demir A. (2006). Computing timing jitter from phase noise spectra for oscillators and phase-locked loops with white and 1/f noise IEEE Transactions on Circuits and Systems-I: Regular Papers. 53(9)
Demir A, Mahmutoglu AG. (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.
Demir A, Roychowdhury J. (2003). A reliable and efficient procedure for oscillator PPV computation, with phase noise macromodelling applications IEEE Transaction on CAD of ICs and Systems. 22(2)
Demir A, Roychowdhury J, Mehrotra A. (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)
Demir A, Sangiovanni-Vincentelli A. (1998). Analysis and simulation of noise in nonlinear electronic circuits and systems Kluwer Academic Publishers.
Demir A, Suvak O. (2011). On phase models for oscillators IEEE Transactions On Computer-Aided Design of Integrated Circuits and Systems. 30(7)
Destexhe A, Contreras D, Steriade M. (1998). Mechanisms underlying the synchronizing action of corticothalamic feedback through inhibition of thalamic relay cells. Journal of neurophysiology. 79 [PubMed]
Destexhe A, Mainen ZF, Sejnowski TJ. (1994). Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. Journal of computational neuroscience. 1 [PubMed]
DiGiovanna J, Nguyen TA, Guinand N, Pérez-Fornos A, Micera S. (2016). Neural Network Model of Vestibular Nuclei Reaction to Onset of Vestibular Prosthetic Stimulation. Frontiers in bioengineering and biotechnology. 4 [PubMed]
Esfahani ZG, Gollo LL, Valizadeh A. (2016). Stimulus-dependent synchronization in delayed-coupled neuronal networks. Scientific reports. 6 [PubMed]
Faisal AA, Selen LP, Wolpert DM. (2008). Noise in the nervous system. Nature reviews. Neuroscience. 9 [PubMed]
Fitzhugh R. (1965). A kinetic model of the conductance changes in nerve membrane J Cell Comp Physiol. 66
Fox RF, Lu Yn. (1994). Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 49 [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.
Ghazanfar AA, Schroeder CE. (2006). Is neocortex essentially multisensory? Trends in cognitive sciences. 10 [PubMed]
Gielen G, De Smedt V, Dehaene W . (2015). Injection-locked oscillators Temperature-and supply voltage-independent time references for wireless sensor networks.
Gillespie DT. (2007). Stochastic simulation of chemical kinetics. Annual review of physical chemistry. 58 [PubMed]
Goldwyn JH, Imennov NS, Famulare M, Shea-Brown E. (2011). Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. Physical review. E, Statistical, nonlinear, and soft matter physics. 83 [PubMed]
Grothe B, Klump GM. (2000). Temporal processing in sensory systems. Current opinion in neurobiology. 10 [PubMed]
Gu C, Roychowdhury J, Demir A. (2010). Phase equations for quasi-periodic oscillators IEEE/ACM International conference on computer-aided design.
Gu C, Xu J, Rohling J, Yang H, Liu Z. (2015). Noise Induces Oscillation and Synchronization of the Circadian Neurons. PloS one. 10 [PubMed]
Gupta SC. (1975). Phase-locked loops Proceedings of the IEEE. 63(2)
Hasenstaub A et al. (2005). Inhibitory postsynaptic potentials carry synchronized frequency information in active cortical networks. Neuron. 47 [PubMed]
Higham DJ. (2008). Modeling and simulating chemical reactions SIAM Review. 50(2)
Isaacson JS, Scanziani M. (2011). How inhibition shapes cortical activity. Neuron. 72 [PubMed]
Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.
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).
Kilinc D, Demir A. (2017). Noise in Neuronal and Electronic Circuits: A General Modeling Framework and Non-Monte Carlo Simulation Techniques. IEEE transactions on biomedical circuits and systems. 11 [PubMed]
Lennie P. (2003). The cost of cortical computation. Current biology : CB. 13 [PubMed]
Linaro D, Storace M, Giugliano M. (2011). Accurate and fast simulation of channel noise in conductance-based model neurons by diffusion approximation. PLoS computational biology. 7 [PubMed]
Mainen ZF, Sejnowski TJ. (1995). Reliability of spike timing in neocortical neurons. Science (New York, N.Y.). 268 [PubMed]
Masugi-Tokita M et al. (2007). Number and density of AMPA receptors in individual synapses in the rat cerebellum as revealed by SDS-digested freeze-fracture replica labeling. The Journal of neuroscience : the official journal of the Society for Neuroscience. 27 [PubMed]
Miller EK. (2000). The prefrontal cortex and cognitive control. Nature reviews. Neuroscience. 1 [PubMed]
Moujahid A, d'Anjou A, Torrealdea FJ, Torrealdea F. (2011). Energy and information in Hodgkin-Huxley neurons. Physical review. E, Statistical, nonlinear, and soft matter physics. 83 [PubMed]
Nowak LG, Sanchez-Vives MV, McCormick DA. (1997). Influence of low and high frequency inputs on spike timing in visual cortical neurons. Cerebral cortex (New York, N.Y. : 1991). 7 [PubMed]
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 [PubMed]
Perrais D, Veran J, Mulle C. (2010). Gating and permeation of kainate receptors: differences unveiled. Trends in pharmacological sciences. 31 [PubMed]
Pinheiro P, Mulle C. (2006). Kainate receptors. Cell and tissue research. 326 [PubMed]
Pouille F, Scanziani M. (2001). Enforcement of temporal fidelity in pyramidal cells by somatic feed-forward inhibition. Science (New York, N.Y.). 293 [PubMed]
Razavi B. (2004). A study of injection locking and pulling in oscillators IEEE Journal of Solid-State Circuits. 39(9)
Sangiovanni-Vincentelli A, Kundert KS, White JK. (1990). Steady-state methods for simulating analog and microwave circuits.
Sejnowski TJ, Destexhe A, Mainen ZF. (1998). Kinetic models of synaptic transmission Methods In Neuronal Modeling.
Sharpeshkar R. (2010). Ultra low power bioelectronics: fundamentals, biomedical applications, and bio-inspired system.
Subrahmanyam M. (1986). On a numerical method of solving the Lyapunov and Sylvester equations International Journal of Control. 43(2)
Tank DW, Hopfield JJ. (1987). Collective computation in neuronlike circuits. Scientific American. 257 [PubMed]
VanRullen R, Guyonneau R, Thorpe SJ. (2005). Spike times make sense. Trends in neurosciences. 28 [PubMed]
Varga Z, Jia H, Sakmann B, Konnerth A. (2011). Dendritic coding of multiple sensory inputs in single cortical neurons in vivo. Proceedings of the National Academy of Sciences of the United States of America. 108 [PubMed]
White JA, Rubinstein JT, Kay AR. (2000). Channel noise in neurons. Trends in neurosciences. 23 [PubMed]
de la Casa MA, de la Rubia FJ, Ivanov PCh. (2007). Patterns of spiral wave attenuation by low-frequency periodic planar fronts. Chaos (Woodbury, N.Y.). 17 [PubMed]
Abbott LF, Dayan P. (2001). Theoretical Neuroscience. Computational and Mathematical Modeling of Neural Systems.
Andreou AG, Cassidy A. (2008). Dynamical digital silicon neurons Proc. 2008 IEEE Biomed. Circuits Syst. Conf.
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)
Attwell D, Laughlin SB. (2001). An energy budget for signaling in the grey matter of the brain. Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism. 21 [PubMed]
Bartoloni N. (1992). Markovian processes in aneuploids: I. Diploid populations. Journal of theoretical biology. 155 [PubMed]
Bower JM, Beeman D. (1995). The Book of GENESIS: Exploring Realistic Neural Models with the GEneral NEural SImulation System..
Brown E, Moehlis J, Holmes P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural computation. 16 [PubMed]
Cafaro J, Rieke F. (2010). Noise correlations improve response fidelity and stimulus encoding. Nature. 468 [PubMed]
Chen YD, Hill TL. (1973). Fluctuations and noise in kinetic systems. Application to K+ channels in the squid axon. Biophysical journal. 13 [PubMed]
Clay JR, DeFelice LJ. (1983). Relationship between membrane excitability and single channel open-close kinetics. Biophysical journal. 42 [PubMed]
Cruz-Albrecht JM, Yung MW, Srinivasa N. (2012). Energy-efficient neuron, synapse and STDP integrated circuits. IEEE transactions on biomedical circuits and systems. 6 [PubMed]
Daniel R, Rubens JR, Sarpeshkar R, Lu TK. (2013). Synthetic analog computation in living cells. Nature. 497 [PubMed]
Demir A, Mahmutoglu AG. (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.
Demir A, Mahmutoglu AG. (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)
Demir A, Mahmutoglu AG. (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)
Demir A, Roychowdhury J, Mahmutoglu AG. (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.
Demir A, Roychowdhury J, Mehrotra A. (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)
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. Journal of computational neuroscience. 1 [PubMed]
Dodge F, Cooley J, Cohen H. (1965). Digital computer solutions for excitable membrane models J Cell Comp Physiol. 66
Elf J, Ehrenberg M. (2003). Fast evaluation of fluctuations in biochemical networks with the linear noise approximation. Genome research. 13 [PubMed]
Esfahani ZG, Gollo LL, Valizadeh A. (2016). Stimulus-dependent synchronization in delayed-coupled neuronal networks. Scientific reports. 6 [PubMed]
Faisal AA. (2009). Stochastic simulation of neurons axons and action potentials Stochastic Methods in Neuroscience.
Faisal AA, Selen LP, Wolpert DM. (2008). Noise in the nervous system. Nature reviews. Neuroscience. 9 [PubMed]
Fitzhugh R. (1965). A kinetic model of the conductance changes in nerve membrane J Cell Comp Physiol. 66
Fox RF, Lu Yn. (1994). Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 49 [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
Gillespie DT. (1977). Exact stochastic simulation of coupled chemical reactions. Journal Of Physical Chemistry. 81
Gillespie DT. (2000). The chemical Langevin equation J Chem Phys. 113
Gillespie DT. (2007). Stochastic simulation of chemical kinetics. Annual review of physical chemistry. 58 [PubMed]
Goldwyn JH, Imennov NS, Famulare M, Shea-Brown E. (2011). Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. Physical review. E, Statistical, nonlinear, and soft matter physics. 83 [PubMed]
Goldwyn JH, Shea-Brown E. (2011). The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS computational biology. 7 [PubMed]
Gu C, Roychowdhury J, Demir A. (2010). Phase equations for quasi-periodic oscillators IEEE/ACM International conference on computer-aided design.
Gu C, Xu J, Rohling J, Yang H, Liu Z. (2015). Noise Induces Oscillation and Synchronization of the Circadian Neurons. PloS one. 10 [PubMed]
HODGKIN AL, HUXLEY AF. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 117 [PubMed]
Higham DJ. (2008). Modeling and simulating chemical reactions SIAM Review. 50(2)
Hille B. (2001). Ionic Channels of Excitable Membranes.
Hines ML, Carnevale NT. (2001). NEURON: a tool for neuroscientists. The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry. 7 [PubMed]
Indiveri G et al. (2011). Neuromorphic silicon neuron circuits. Frontiers in neuroscience. 5 [PubMed]
Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.
Kandel ER, Jessell TM, Schwartz JH. (2000). Principles of neural science (4th ed).
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).
Kärtner FX. (1990). Analysis of white and f^-alpha noise in oscillators Int. J. Circuit Theory Appl.. 18(5)
Lennie P. (2003). The cost of cortical computation. Current biology : CB. 13 [PubMed]
Linaro D, Storace M, Giugliano M. (2011). Accurate and fast simulation of channel noise in conductance-based model neurons by diffusion approximation. PLoS computational biology. 7 [PubMed]
MATLAB version. (2015). "MATLAB” version 2015b", 2015, [online] Available: http://www.mathworks.com/products/matlab..
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).
Mainen ZF, Sejnowski TJ. (1995). Reliability of spike timing in neocortical neurons. Science (New York, N.Y.). 268 [PubMed]
Mead C. (1989). Analog VLSI and neural systems..
Mead C. (1990). Neuromorphic electronic systems Proc IEEE. 78
Mitra S, Fusi S, Indiveri G. (2009). Real-Time Classification of Complex Patterns Using Spike-Based Learning in Neuromorphic VLSI. IEEE transactions on biomedical circuits and systems. 3 [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..
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 [PubMed]
Pearce TC et al. (2007). Analog VLSI circuit implementation of an adaptive neuromorphic olfaction chip IEEE Trans. Circuits Syst. I Reg. Papers.
Petzold LR, Ascher UM. (1998). Computer methods for ordinary differential equations and differential-algebraic equations.. 61
Ramakrishnan S, Hasler PE, Gordon C. (2011). Floating gate synapses with spike-time-dependent plasticity. IEEE transactions on biomedical circuits and systems. 5 [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)
Rubin D et al. (2012). Building block of a programmable neuromorphic substrate: A digital neurosynaptic core Proc. 2012 Int. Joint Conf. Neural Netw..
Sakmann B, Neher E. (1995). Single-channel Recording. 2
Sarpeshkar R. (2014). Analog synthetic biology Philosoph. Trans. Roy. Soc. A. 372(2012)
Sejnowski TJ, Destexhe A, Mainen ZF. (1998). Kinetic models of synaptic transmission Methods In Neuronal Modeling.
Shanthikumar JG. (1986). Uniformization and hybrid simulation/analytic models of renewal processes Oper. Res.. 34(4)
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? Nature reviews. Neuroscience. 6 [PubMed]
Subrahmanyam M. (1986). On a numerical method of solving the Lyapunov and Sylvester equations International Journal of Control. 43(2)
Tank DW, Hopfield JJ. (1987). Collective computation in neuronlike circuits. Scientific American. 257 [PubMed]
Teo JJ, Woo SS, Sarpeshkar R. (2015). Synthetic Biology: A Unifying View and Review Using Analog Circuits. IEEE transactions on biomedical circuits and systems. 9 [PubMed]
Welsh DK, Takahashi JS, Kay SA. (2010). Suprachiasmatic nucleus: cell autonomy and network properties. Annual review of physiology. 72 [PubMed]
White JA, Rubinstein JT, Kay AR. (2000). Channel noise in neurons. Trends in neurosciences. 23 [PubMed]
Yu T, Cauwenberghs TG. (2010). Analog VLSI biophysical neurons and synapses with programmable membrane channel kinetics IEEE Trans. Biomed. Circuits Syst.. 4(3)
Kilinc D, Demir A. (2018). Spike timing precision of neuronal circuits. Journal of computational neuroscience. 44 [PubMed]
Abbott LF, Dayan P. (2001). Theoretical Neuroscience. Computational and Mathematical Modeling of Neural Systems.
Bartoloni N. (1992). Markovian processes in aneuploids: I. Diploid populations. Journal of theoretical biology. 155 [PubMed]
Beeman D, Bower J. (1994). The Book of GENESIS: exploring realistic neural models with the GEneral NEural Simulation System.
Bruce IC et al. (1999). A stochastic model of the electrically stimulated auditory nerve: pulse-train response. IEEE transactions on bio-medical engineering. 46 [PubMed]
Cafaro J, Rieke F. (2010). Noise correlations improve response fidelity and stimulus encoding. Nature. 468 [PubMed]
Chen YD, Hill TL. (1973). Fluctuations and noise in kinetic systems. Application to K+ channels in the squid axon. Biophysical journal. 13 [PubMed]
Clay JR, DeFelice LJ. (1983). Relationship between membrane excitability and single channel open-close kinetics. Biophysical journal. 42 [PubMed]
Deelstra G, Delbaen F. (1998). Convergence of discretized stochastic (interest rate) processes with stochastic drift term Applied stochastic models and data analysis. 14(1)
Demir A, Mahmutoglu AG. (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)
Demir A, Roychowdhury J, Mahmutoglu AG. (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.
Destexhe A, Mainen ZF, Sejnowski TJ. (1994). Synthesis of models for excitable membranes, synaptic transmission and neuromodulation using a common kinetic formalism. Journal of computational neuroscience. 1 [PubMed]
Dodge F, Cooley J, Cohen H. (1965). Digital computer solutions for excitable membrane models J Cell Comp Physiol. 66
Faisal AA. (2009). Stochastic simulation of neurons axons and action potentials Stochastic Methods in Neuroscience.
Faisal AA, Selen LP, Wolpert DM. (2008). Noise in the nervous system. Nature reviews. Neuroscience. 9 [PubMed]
Fitzhugh R. (1965). A kinetic model of the conductance changes in nerve membrane J Cell Comp Physiol. 66
Fox RF, Lu Yn. (1994). Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 49 [PubMed]
Gardiner CW. (1983). Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences.
Gillespie DT. (1976). A General method for numerically simulating the stochastic time evolution of coupledchemical reactions J Comput Phys. 22
Gillespie DT. (1977). Exact stochastic simulation of coupled chemical reactions. Journal Of Physical Chemistry. 81
Gillespie DT. (2000). The chemical Langevin equation J Chem Phys. 113
Gillespie DT. (2007). Stochastic simulation of chemical kinetics. Annual review of physical chemistry. 58 [PubMed]
Goldwyn JH, Imennov NS, Famulare M, Shea-Brown E. (2011). Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons. Physical review. E, Statistical, nonlinear, and soft matter physics. 83 [PubMed]
Goldwyn JH, Shea-Brown E. (2011). The what and where of adding channel noise to the Hodgkin-Huxley equations. PLoS computational biology. 7 [PubMed]
Grimmett G, Stirzaker D. (1992). Probability and random processes Oxford University Press. 2
HODGKIN AL, HUXLEY AF. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 117 [PubMed]
Hanggi P, Schmid G, Goychuk I. (2001). Stochastic resonance as a collective property of ion channel assemblies EPL (Europhysics Letters). 56(1)
Higham DJ. (2001). An algorithmic introduction to numerical simulation of stochastic differential equation Siam Review. 43
Higham DJ. (2008). Modeling and simulating chemical reactions SIAM Review. 50(2)
Higham DJ, Mao X. (2005). Convergence of Monte Carlo simulations involving the mean-reverting square root process Journal of Computational Finance. 8(3)
Hille B. (2001). Ionic Channels of Excitable Membranes.
Hines ML, Carnevale NT. (2001). NEURON: a tool for neuroscientists. The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry. 7 [PubMed]
Huang Y, Shuai J, Rudiger S. (2013). Phys Rev E. 87
Kandel ER, Jessell TM, Schwartz JH. (2008). Principles of Neural Science.
Kay D, Burrage K, Dangerfield CE. (2011). Comparison of continuous and discrete stochastic ion channel models Engineering in Medicine and Biology Society EMBC 2011 Annual International Conference of the IEEE.
Kloeden PE, Platen E. (1992). Numerical Solution Of Stochastic Differential Equations.
Linaro D, Storace M, Giugliano M. (2011). Accurate and fast simulation of channel noise in conductance-based model neurons by diffusion approximation. PLoS computational biology. 7 [PubMed]
Lord R, Koekkoek R, Dijk DV. (2010). A comparison of biased simulation schemes for stochastic volatility models Quantitative Finance. 10(2)
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 [PubMed]
Petzold LR, Ascher UM. (1998). Computer methods for ordinary differential equations and differential-algebraic equations.. 61
Pezo D, Soudry D, Orio P. (2014). Diffusion approximation-based simulation of stochastic ion channels: which method to use? Frontiers in computational neuroscience. 8 [PubMed]
Sakmann B, Neher E. (1995). Single-channel Recording. 2
Sejnowski TJ, Destexhe A, Mainen ZF. (1998). Kinetic models of synaptic transmission Methods In Neuronal Modeling.
Sengupta B, Laughlin SB, Niven JE. (2010). Comparison of Langevin and Markov channel noise models for neuronal signal generation. Physical review. E, Statistical, nonlinear, and soft matter physics. 81 [PubMed]
Shanthikumar JG. (1986). Uniformization and hybrid simulation/analytic models of renewal processes Oper. Res.. 34(4)
Stein RB, Gossen ER, Jones KE. (2005). Neuronal variability: noise or part of the signal? Nature reviews. Neuroscience. 6 [PubMed]
White JA, Rubinstein JT, Kay AR. (2000). Channel noise in neurons. Trends in neurosciences. 23 [PubMed]
van Moorsel AP, Sanders WH. (1994). Adaptive uniformization Stochastic Models. 10(3)
Kilinc D, Demir A. (2017). Noise in Neuronal and Electronic Circuits: A General Modeling Framework and Non-Monte Carlo Simulation Techniques. IEEE transactions on biomedical circuits and systems. 11 [PubMed]
Kilinc D, Demir A. (2018). Spike timing precision of neuronal circuits. Journal of computational neuroscience. 44 [PubMed]
Lemaitre L, McAndrew C, Hamm S. (2002). ADMS-automatic device model synthesizer Custom Integrated Circuits Conference.
Demir A, Roychowdhury J, Aadithya K, Venugopalan S. (2013). Accurate prediction of random telegraph noise effects in SRAMs and DRAMs IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 32(1)
Fitzpatrick D, Miller I. (1998). Analog Behavioral Modeling with the Verilog-A Language.
Hindmarsh AC et al. (2005). SUNDIALS: Suite of nonlinear and differential-algebraic equation solvers ACM Trans Math Software. 31
Kirton MJ, Uren MJ. (1989). Noise in solid-state microstructures: A new perspective on individual defects, interface states and low frequency (1/f) noise Advances in Physics. 38(4)
Kundert KS. (1995). The Designer's Guide to Spice and Spectre.
Li G, Martin S, Worley E;White J. (1997). The gate bias and geometry dependence of random telegraph signal amplitudes [MOSFET] IEEE Electron Device Letters. 18(9)
Roychowdhury J, Amsallem D. (2011). ModSpec: an open, flexible specification framework for multi-domain device modelling 2011 IEEE/ACM International Conference on Computer-Aided Design (IC-CAD).
Schwarz S, Russek S. (1983). Semi-empirical equations for electron velocity in silicon: Part II-MOS inversion layer IEEE Transactions on Electron Devices. 30(12)
Wang H et al. (2005). Introduction to PSP MOSFET model Proc. the MSM 2005 Int. Conf., Nanotech 2005.
Wang H et al. (2006). PSP: an advanced surfacepotential-based MOSFET model for circuit simulation IEEE Transactions on Electron Devices. 53(9)
van Moorsel AP, Sanders WH. (1994). Adaptive uniformization Stochastic Models. 10(3)
Kilinc D, Demir A. (2017). Noise in Neuronal and Electronic Circuits: A General Modeling Framework and Non-Monte Carlo Simulation Techniques. IEEE transactions on biomedical circuits and systems. 11 [PubMed]