Adams DJ, Gage PW. (1979). Characteristics of sodium and calcium conductance changes produced by membrane depolarization in an Aplysia neurone. The Journal of physiology. 289 [PubMed]
Adams DJ, Gage PW. (1979). Ionic currents in response to membrane depolarization in an Aplysia neurone. The Journal of physiology. 289 [PubMed]
Adams DJ, Smith SJ, Thompson SH. (1980). Ionic currents in molluscan soma. Annual review of neuroscience. 3 [PubMed]
Adams WB. (1985). Slow depolarizing and hyperpolarizing currents which mediate bursting in Aplysia neurone R15. The Journal of physiology. 360 [PubMed]
Adams WB, Benson JA. (1985). The generation and modulation of endogenous rhythmicity in the Aplysia bursting pacemaker neurone R15. Progress in biophysics and molecular biology. 46 [PubMed]
Adams WB, Levitan IB. (1985). Voltage and ion dependences of the slow currents which mediate bursting in Aplysia neurone R15. The Journal of physiology. 360 [PubMed]
Baker PF, Blaustein MP, Hodgkin AL, Steinhardt RA. (1969). The influence of calcium on sodium efflux in squid axons. The Journal of physiology. 200 [PubMed]
Benson JA, Adams WB. (1987). The rhythmic control of neuronal firing Neuromodulation.
Benson JA, Levitan IB. (1983). Serotonin increases an anomalously rectifying K+ current in the Aplysia neuron R15. Proceedings of the National Academy of Sciences of the United States of America. 80 [PubMed]
Blaustein MP, Hodgkin AL. (1969). The effect of cyanide on the efflux of calcium from squid axons. The Journal of physiology. 200 [PubMed]
Byrne JH. (1980). Analysis of ionic conductance mechanisms in motor cells mediating inking behavior in Aplysia californica. Journal of neurophysiology. 43 [PubMed]
Byrne JH. (1980). Quantitative aspects of ionic conductance mechanisms contributing to firing pattern of motor cells mediating inking behavior in Aplysia californica. Journal of neurophysiology. 43 [PubMed]
Canavier CC, Clark JW, Byrne JH. (1990). Routes to chaos in a model of a bursting neuron. Biophysical journal. 57 [PubMed]
Chalazonitis N, Arvanltakl A. (1968). Electrical properties and temporal organization in oscillatory neurons Neurobiology Of Invertebrates.
Chay TR. (1983). Eyring rate theory in excitable membranes: application to neuronal oscillations J Phys Chem. 87
Chay TR. (1990). Bursting excitable cell models by a slow Ca2+ current. Journal of theoretical biology. 142 [PubMed]
Chay TR, Cook DL. (1988). Endogenous bursting patterns in excitable cells Math Biosci. 90
Chay TR, Keizer J. (1983). Minimal model for membrane oscillations in the pancreatic beta-cell. Biophysical journal. 42 [PubMed]
Cooke IM, Leblanc G, Tauc L. (1974). Sodium pump stoichiometry in Aplysia neurones from simultaneous current and tracer measurements. Nature. 251 [PubMed]
DiFrancesco D, Noble D. (1985). A model of cardiac electrical activity incorporating ionic pumps and concentration changes. Philosophical transactions of the Royal Society of London. Series B, Biological sciences. 307 [PubMed]
DiPolo R. (1979). Calcium influx in internally dialyzed squid giant axons. The Journal of general physiology. 73 [PubMed]
DiPolo R, Beaugé L. (1979). Physiological role of ATP-driven calcium pump in squid axon. Nature. 278 [PubMed]
Eckert R, Chad JE. (1984). Inactivation of Ca channels. Progress in biophysics and molecular biology. 44 [PubMed]
Eckert R, Lux HD. (1975). A non-inactivating inward current recorded during small depolarizing voltage steps in snail pacemaker neurons. Brain research. 83 [PubMed]
Farber DS, Klee MR. (1972). Membrane characteristics of bursting pacemaker neurones in Aplysia. Nature: New biology. 240 [PubMed]
Fitzhugh R. (1969). Mathematical models for excitation and propagation in nerve Biological Engineering.
Futamachi K, Smith TG. (1982). Action of tetrodotoxin on pacemaker conductances in Aplysia neurons. Brain research. 233 [PubMed]
Gola M, Ehile E. (1979). A slowly inactivating calcium current in molluscan neurons. I. Slow currents during long-lasting voltage clamp pulses Comp Biochem Physiol. 64
Gorman AL, Hermann A. (1982). Quantitative differences in the currents of bursting and beating molluscan pace-maker neurones. The Journal of physiology. 333 [PubMed]
Gorman AL, Hermann A, Thomas MV. (1981). Intracellular calcium and the control of neuronal pacemaker activity. Federation proceedings. 40 [PubMed]
Gorman AL, Hermann A, Thomas MV. (1982). Ionic requirements for membrane oscillations and their dependence on the calcium concentration in a molluscan pace-maker neurone. The Journal of physiology. 327 [PubMed]
Gorman AL, Levy S, Nasi E, Tillotson D. (1984). Intracellular calcium measured with calcium-sensitive micro-electrodes and Arsenazo III in voltage-clamped Aplysia neurones. The Journal of physiology. 353 [PubMed]
Gorman AL, Mirolli M. (1972). The passive electrical properties of the membrane of a molluscan neurone. The Journal of physiology. 227 [PubMed]
Gorman AL, Thomas MV. (1978). Changes in the intracellular concentration of free calcium ions in a pace-maker neurone, measured with the metallochromic indicator dye arsenazo III. The Journal of physiology. 275 [PubMed]
Gorman AL, Thomas MV. (1980). Potassium conductance and internal calcium accumulation in a molluscan neurone. J Physiol. 308
Hagiwara S, Takahashi K. (1974). The anomalous rectification and cation selectivity of the membrane of a starfish egg cell. The Journal of membrane biology. 18 [PubMed]
Hairer E, Wanner G. (1991). Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems Springer Series In Computational Mathematics.
Hermann A, Gorman AL. (1981). Effects of tetraethylammonium on potassium currents in a molluscan neurons. The Journal of general physiology. 78 [PubMed]
Hermann A, Gorman AL. (1981). Effects of 4-aminopyridine on potassium currents in a molluscan neuron. The Journal of general physiology. 78 [PubMed]
Hindmarsh JL, Rose RM. (1984). A model of neuronal bursting using three coupled first order differential equations. Proceedings of the Royal Society of London. Series B, Biological sciences. 221 [PubMed]
Johnson JW. (1986). Membrane Conductances of Aplysia Neurons at Voltages Near Rest Ph.D. Thesis.
Johnston D. (1976). Voltage clamp reveals basis for calcium regulation of bursting pacemaker potentials in Aplysia neurons. Brain research. 107 [PubMed]
Junge D, Stephens CL. (1973). Cyclic variation of potassium conductance in a burst-generating neurone in Aplysia. The Journal of physiology. 235 [PubMed]
Koch C, Adams PR, Yamada WM. (1989). Multiple channels and calcium dynamics Methods In Neuronal Modeling: From Synapses To Networks.
Kramer RH, Levitan ES, Carrow GM, Levitan IB. (1988). Modulation of a subthreshold calcium current by the neuropeptide FMRFamide in Aplysia neuron R15. Journal of neurophysiology. 60 [PubMed]
Kramer RH, Levitan IB. (1990). Activity-dependent neuromodulation in Aplysia neuron R15: intracellular calcium antagonizes neurotransmitter responses mediated by cAMP. Journal of neurophysiology. 63 [PubMed]
Kramer RH, Zucker RS. (1985). Calcium-induced inactivation of calcium current causes the inter-burst hyperpolarization of Aplysia bursting neurones. The Journal of physiology. 362 [PubMed]
Levitan ES, Levitan IB. (1988). Serotonin acting via cyclic AMP enhances both the hyperpolarizing and depolarizing phases of bursting pacemaker activity in the Aplysia neuron R15. The Journal of neuroscience : the official journal of the Society for Neuroscience. 8 [PubMed]
Levitan ES, Levitan IB. (1988). A cyclic GMP analog decreases the currents underlying bursting activity in the Aplysia neuron R15. The Journal of neuroscience : the official journal of the Society for Neuroscience. 8 [PubMed]
Lewis DV. (1984). Spike aftercurrents in R15 of Aplysia: their relationship to slow inward current and calcium influx. Journal of neurophysiology. 51 [PubMed]
Lotshaw DP, Levitan IB. (1988). Reciprocal modulation of calcium current by serotonin and dopamine in the identified Aplysia neuron R15. Brain research. 439 [PubMed]
Marquardt DW. (1963). An Algorithm for Least-Squares Estimation of Nonlinear Parameters J Soc Ind Appl Math. 11
Mathieu PA, Roberge FA. (1971). Characteristics of pacemaker oscillations in Aplysia neurons. Canadian journal of physiology and pharmacology. 49 [PubMed]
Mayeri E, Brownell P, Branton WD, Simon SB. (1979). Multiple, prolonged actions of neuroendocrine bag cells on neurons in Aplysia. I. Effects on bursting pacemaker neurons. Journal of neurophysiology. 42 [PubMed]
Mirolli M, Talbott SR. (1972). The geometrical factors determining the electrotonic properties of a molluscan neurone. The Journal of physiology. 227 [PubMed]
Mullins LJ. (1977). A mechanism for Na/Ca transport. The Journal of general physiology. 70 [PubMed]
Mullins LJ. (1981). Ion Transport in Heart.
Nasi E, Tillotson D. (1985). The rate of diffusion of Ca2+ and Ba2+ in a nerve cell body. Biophysical journal. 47 [PubMed]
Neurones M. (1974). Neurones a ondes-salves des mollusques, variations cycliques lentes des conductances ioniques Pfluegers Arch. 352
Noble D, Difrancesco D, Denyer J. (1989). Ionic mechanisms in normal and abnormal cardiac pacemaker activity Neural and Cellular Oscillators.
Plant RE. (1981). Bifurcation and resonance in a model for bursting nerve cells. Journal of mathematical biology. 11 [PubMed]
Plant RE, Kim M. (1976). Mathematical description of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations. Biophysical journal. 16 [PubMed]
Plant TD, Standen NB, Ward TA. (1983). The effects of injection of calcium ions and calcium chelators on calcium channel inactivation in Helix neurones. The Journal of physiology. 334 [PubMed]
Rasmusson RL et al. (1990). A mathematical model of electrophysiological activity in a bullfrog atrial cell. The American journal of physiology. 259 [PubMed]
Rasmusson RL, Clark JW, Giles WR, Shibata EF, Campbell DL. (1990). A mathematical model of a bullfrog cardiac pacemaker cell. The American journal of physiology. 259 [PubMed]
Requena J. (1983). Calcium movement in nerve fibres Annu Rev Biophys Bioeng. 12
Rinzel J. (1987). A formal classification of bursting mechanisms in excitable systems. Mathematical Topics in Population Biology, Morphogenesis, and Neurosciences.. 71
Rinzel J, Ermentrout GB. (1989). Analysis of neuronal excitability and oscillations Methods In Neuronal Modeling: From Synapses To Networks.
Rinzel J, Lee YS. (1987). Dissection of a model for neuronal parabolic bursting. Journal of mathematical biology. 25 [PubMed]
Robertson SP, Johnson JD, Potter JD. (1981). The time-course of Ca2+ exchange with calmodulin, troponin, parvalbumin, and myosin in response to transient increases in Ca2+. Biophysical journal. 34 [PubMed]
Sala F, Hernández-Cruz A. (1990). Calcium diffusion modeling in a spherical neuron. Relevance of buffering properties. Biophysical journal. 57 [PubMed]
Satin L. (1984). Sodium-dependent calcium efflux from single Aplysia neurons. Brain research. 300 [PubMed]
Segel LA. (1980). Mathematical Models in Molecular and Cellular Biology.
Smith SJ, Thompson SH. (1987). Slow membrane currents in bursting pace-maker neurones of Tritonia. The Journal of physiology. 382 [PubMed]
Smith TG, Barker JL, Gainer H. (1975). Requirements for bursting pacemaker potential activity in molluscan neurones. Nature. 253 [PubMed]
Stockbridge N, Moore JW. (1984). Dynamics of intracellular calcium and its possible relationship to phasic transmitter release and facilitation at the frog neuromuscular junction. The Journal of neuroscience : the official journal of the Society for Neuroscience. 4 [PubMed]
Strumwasser F. (1965). Membrane and intracellular mechanism governing endogenous activity in neurons Physiological and Biochemical Aspects of Nervous Integration.
Strumwasser F. (1967). Types of information stored in single neurons Invertebrate Nervous Systems.
Thompson JMT, Stewart HB. (1986). Nonlinear Dynamics and Chaos.
Thompson SH, Smith SJ. (1976). Depolarizing afterpotentials and burst production in molluscan pacemaker neurons. Journal of neurophysiology. 39 [PubMed]
Wilson WA. (1982). Patterned bursting discharge of invertebrate neurons. Cellular Pacemakers.. 7
Wilson WA, Wachtel H. (1974). Negative resistance characteristic essential for the maintenance of slow oscillations in bursting neurons. Science (New York, N.Y.). 186 [PubMed]
Zucker RS. (1988). Intrinsic electrophysiological regulation of firing patterns of bursting neurons in Aplysia Neurosecretion.
Zucker RS. (1989). Models of calcium regulation in neurons Neural Models of Plasticity.
Baxter DA, Canavier CC, Clark JW, Byrne JH. (1999). Computational model of the serotonergic modulation of sensory neurons in Aplysia. Journal of neurophysiology. 82 [PubMed]
Breen BJ, Gerken WC, Butera RJ. (2003). Hybrid integrate-and-fire model of a bursting neuron. Neural computation. 15 [PubMed]
Butera RJ, Clark JW, Canavier CC, Baxter DA, Byrne JH. (1995). Analysis of the effects of modulatory agents on a modeled bursting neuron: dynamic interactions between voltage and calcium dependent systems. Journal of computational neuroscience. 2 [PubMed]
Butera RJ, Rinzel J, Smith JC. (1999). Models of respiratory rhythm generation in the pre-Bötzinger complex. I. Bursting pacemaker neurons. Journal of neurophysiology. 82 [PubMed]
Doi S, Kumagai S. (2005). Generation of very slow neuronal rhythms and chaos near the Hopf bifurcation in single neuron models. Journal of computational neuroscience. 19 [PubMed]
Goldman MS, Golowasch J, Marder E, Abbott LF. (2001). Global structure, robustness, and modulation of neuronal models. The Journal of neuroscience : the official journal of the Society for Neuroscience. 21 [PubMed]
Komendantov AO, Kononenko NI. (1996). Deterministic chaos in mathematical model of pacemaker activity in bursting neurons of snail, Helix pomatia. Journal of theoretical biology. 183 [PubMed]
Matveev V, Bose A, Nadim F. (2007). Capturing the bursting dynamics of a two-cell inhibitory network using a one-dimensional map. Journal of computational neuroscience. 23 [PubMed]
Schild JH et al. (1994). A- and C-type rat nodose sensory neurons: model interpretations of dynamic discharge characteristics. Journal of neurophysiology. 71 [PubMed]
Susswein AJ, Hurwitz I, Thorne R, Byrne JH, Baxter DA. (2002). Mechanisms underlying fictive feeding in aplysia: coupling between a large neuron with plateau potentials activity and a spiking neuron. Journal of neurophysiology. 87 [PubMed]