Abstract
The pyloric network of decapods crustaceans can undergo dramatic rhythmic activity changes. Under normal conditions the network generates low frequency rhythmic activity that depends obligatorily on the presence of neuromodulatory input from the central nervous system. When this input is removed (decentralization) the rhythmic activity ceases. In the continued absence of this input, periodic activity resumes after a few hours in the form of episodic bursting across the entire network that later turns into stable rhythmic activity that is nearly indistinguishable from control (recovery). It has been proposed that an activity-dependent modification of ionic conductance levels in the pyloric pacemaker neuron drives the process of recovery of activity. Previous modeling attempts have captured some aspects of the temporal changes observed experimentally, but key features could not be reproduced. Here we examined a model in which slow activity-dependent regulation of ionic conductances and slower neuromodulator-dependent regulation of intracellular Ca2+ concentration reproduce all the temporal features of this recovery. Key aspects of these two regulatory mechanisms are their independence and their different kinetics. We also examined the role of variability (noise) in the activity-dependent regulation pathway and observe that it can help to reduce unrealistic constraints that were otherwise required on the neuromodulator-dependent pathway. We conclude that small variations in intracellular Ca2+ concentration, a Ca2+ uptake regulation mechanism that is directly targeted by neuromodulator-activated signaling pathways, and variability in the Ca2+ concentration sensing signaling pathway can account for the observed changes in neuronal activity. Our conclusions are all amenable to experimental analysis.







Similar content being viewed by others
References
Aizman, O., Brismar, H., Uhlen, P., Zettergren, E., Levey, A. I., Forssberg, H., et al. (2000). Anatomical and physiological evidence for D1 and D2 dopamine receptor colocalization in neostriatal neurons. Nature Neuroscience, 3, 226–230.
Briggs, F. N., Lee, K. F., Feher, J. J., Wechsler, A. S., Ohlendieck, K., & Campbell, K. (1990). Ca-ATPase isozyme expression in sarcoplasmic reticulum is altered by chronic stimulation of skeletal muscle. FEBS Letters, 259, 269–272.
Bucher, D., Prinz, A. A., & Marder, E. (2005). Animal-to-animal variability in motor pattern production in adults and during growth. The Journal of Neuroscience, 25, 1611–1619.
Cao, Y., & Liang, J. (2007). An optimal algorithm for enumerating state space of stochastic molecular networks with small copy numbers of molecules. Conf Proc IEEE Eng Med Biol Soc, 2007, 4599–4602.
Casasnovas, B., & Meyrand, P. (1995). Functional differentiation of adult neural circuits from a single embryonic network. The Journal of Neuroscience, 15, 5703–5718.
Catarsi, S., & Brunelli, M. (1991). Serotonin depresses the after-hyperpolarization through the inhibition of the Na+/K+ electrogenic pump in T sensory neurones of the leech. The Journal of Experimental Biology, 155, 261–273.
Catarsi, S., Scuri, R., & Brunelli, M. (1993). Cyclic AMP mediates inhibition of the Na(+)-K+ electrogenic pump by serotonin in tactile sensory neurones of the leech. Journal de Physiologie, 462, 229–242.
Ermentrout, B. (2002). Simulating, analyzing, and animating dynamical systems: a guide to XPPAUT for researchers and students. Soc for Industrial & Applied Math
Frere, S. G., Kuisle, M., & Luthi, A. (2004). Regulation of recombinant and native hyperpolarization-activated cation channels. Molecular Neurobiology, 30, 279–305.
Garaschuk, O., Hanse, E., & Konnerth, A. (1998). Developmental profile and synaptic origin of early network oscillations in the CA1 region of rat neonatal hippocampus. Journal de Physiologie, 507, 219–236.
Golowasch, J., & Marder, E. (1992). Proctolin activates an inward current whose voltage dependence is modified by extracellular Ca2+. The Journal of Neuroscience, 12, 810–817.
Golowasch, J., Casey, M., Abbott, L. F., & Marder, E. (1999). Network stability from activity-dependent regulation of neuronal conductances. Neural Computation, 11, 1079–1096.
Gu, X., Olson, E. C., & Spitzer, N. C. (1994). Spontaneous neuronal calcium spikes and waves during early differentiation. The Journal of Neuroscience, 14, 6325–6335.
Gudi, T., Chen, J. C., Casteel, D. E., Seasholtz, T. M., Boss, G. R., & Pilz, R. B. (2002). cGMP-dependent protein kinase inhibits serum-response element-dependent transcription by inhibiting rho activation and functions. The Journal of Biological Chemistry, 277, 37382–37393.
Haedo, R. J., & Golowasch, J. (2006). Ionic mechanism underlying recovery of rhythmic activity in adult isolated neurons. Journal of Neurophysiology, 96, 1860–1876.
Hong, S. J., & Lnenicka, G. A. (1995). Activity-dependent reduction in voltage-dependent calcium current in a crayfish motoneuron. The Journal of Neuroscience, 15, 3539–3547.
Hu, P., Yin, C., Zhang, K. M., Wright, L. D., Nixon, T. E., Wechsler, A. S., et al. (1995). Transcriptional regulation of phospholamban gene and translational regulation of SERCA2 gene produces coordinate expression of these two sarcoplasmic reticulum proteins during skeletal muscle phenotype switching. The Journal of Biological Chemistry, 270, 11619–11622.
Khorkova, O., & Golowasch, J. (2007). Neuromodulators, not activity, control coordinated expression of ionic currents. The Journal of Neuroscience, 27(32), 8709–8718.
Leberer, E., Hartner, K. T., Brandl, C. J., Fujii, J., Tada, M., MacLennan, D. H., et al. (1989). Slow/cardiac sarcoplasmic reticulum Ca2+−ATPase and phospholamban mRNAs are expressed in chronically stimulated rabbit fast-twitch muscle. European Journal of Biochemistry, 185, 51–54.
Levine, E., & Hwa, T. (2007). Stochastic fluctuations in metabolic pathways. Proceedings of the National Academy of Sciences of the United States of America, 104, 9224–9229.
Lnenicka, G. A., Arcaro, K. F., & Calabro, J. M. (1998). Activity-dependent development of calcium regulation in growing motor axons. The Journal of Neuroscience, 18, 4966–4972.
Luther, J. A., Robie, A. A., Yarotsky, J., Reina, C., Marder, E., & Golowasch, J. (2003). Episodic bouts of activity accompany recovery of rhythmic output by a neuromodulator- and activity-deprived adult neural network. Journal of Neurophysiology, 90, 2720–2730.
MacKay-Lyons, M. (2002). Central pattern generation of locomotion: a review of the evidence. Physical Therapy, 82, 69–83.
Marder, E. (2000). Motor pattern generation. Current Opinion in Neurobiology, 10, 691–698.
Marder, E., & Calabrese, R. L. (1996). Principles of rhythmic motor pattern generation. Physiological Reviews, 76, 687–717.
Marder, E., & Bucher, D. (2001). Central pattern generators and the control of rhythmic movements. Current Biology, 11, R986–R996.
Martel, G., Hamet, P., & Tremblay, J. (2010). GREBP, a cGMP-response element-binding protein repressing the transcription of natriuretic peptide receptor 1 (NPR1/GCA). The Journal of Biological Chemistry, 285, 20926–20939.
McCrea, D. A., & Rybak, I. A. (2008). Organization of mammalian locomotor rhythm and pattern generation. Brain Research Reviews, 57, 134–146.
Meister, M., Wong, R. O. L., Baylor, D. A., & Shatz, C. J. (1991). Synchronous bursts of action potentials in ganglion cells of the developing mammalian retina. Science, 252, 939–943.
Mellstrom, B., Savignac, M., Gomez-Villafuertes, R., & Naranjo, J. R. (2008). Ca2+−operated transcriptional networks: molecular mechanisms and in vivo models. Physiological Reviews, 88, 421–449.
Murphy, T. H., Blatter, L. A., Wier, W. G., & Baraban, J. M. (1992). Spontaneous synchronous synaptic calcium transients in cultured cortical neurons. The Journal of Neuroscience, 12, 4834–4845.
Nagai, R., Zarain-Herzberg, A., Brandl, C. J., Fujii, J., Tada, M., MacLennan, D. H., et al. (1989). Regulation of myocardial Ca2+−ATPase and phospholamban mRNA expression in response to pressure overload and thyroid hormone. Proceedings of the National Academy of Sciences of the United States of America, 86, 2966–2970.
O’Donovan, M. J. (1999). The origin of spontaneous activity in developing networks of the vertebrate nervous system. Current Opinion in Neurobiology, 9, 94–104.
O’Donovan, M. J., Chub, N., & Wenner, P. (1998). Mechanisms of spontaneous activity in developing spinal networks. Journal of Neurobiology, 37, 131–145.
Ota, K. T., Monsey, M. S., Wu, M. S., Young, G. J., & Schafe, G. E. (2010). Synaptic plasticity and NO-cGMP-PKG signaling coordinately regulate ERK-driven gene expression in the lateral amygdala and in the auditory thalamus following Pavlovian fear conditioning. Learning & Memory, 17, 221–235.
Pilz, R. B., & Casteel, D. E. (2003). Regulation of gene expression by cyclic GMP. Circulation Research, 93, 1034–1046.
Prasad, A. M., & Inesi, G. (2011). Silencing calcineurin A subunit reduces SERCA2 expression in cardiac myocytes. American Journal of Physiology. Heart and Circulatory Physiology, 300, H173–H180.
Russell, D. F. (1979). CNS control of pattern generation in the lobster stomatogastric ganglion. Brain Research, 177, 598–602.
Selverston, A. I. (2010). Invertebrate central pattern generator circuits. Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences, 365, 2329–2345.
Selverston, A. I., & Moulins, M. (1986). The Crustacean stomatogastric system: A model for the study of central nervous systems. New York: Springer-Verlag, Berlin.
Shahrezaei, V., & Swain, P. S. (2008). The stochastic nature of biochemical networks. Current Opinion in Biotechnology, 19, 369–374.
Simmerman, H. K., & Jones, L. R. (1998). Phospholamban: protein structure, mechanism of action, and role in cardiac function. Physiological Reviews, 78, 921–947.
Spitzer, N. C., Gu, X., & Olson, E. (1994). Action potentials, calcium transients and the control of differentiation of excitable cells. Current Opinion in Neurobiology, 4, 70–77.
Sugano, Y., Lai, N. C., Gao, M. H., Firth, A. L., Yuan, J. X., Lew, W. Y., et al. (2011). Activated expression of cardiac adenylyl cyclase 6 reduces dilation and dysfunction of the pressure-overloaded heart. Biochemical and Biophysical Research Communications, 405, 349–355.
Swensen, A. M., & Marder, E. (2000). Multiple peptides converge to activate the same voltage-dependent current in a central pattern-generating circuit. The Journal of Neuroscience, 20, 6752–6759.
Therien, A. G., & Blostein, R. (2000). Mechanisms of sodium pump regulation. American Journal of Physiology. Cell Physiology, 279, C541–C566.
Thoby-Brisson, M., & Simmers, J. (1998). Neuromodulatory inputs maintain expression of a lobster motor pattern-generating network in a modulation-dependent state: evidence from long-term decentralization in vitro. The Journal of Neuroscience, 18, 2212–2225.
Thoby-Brisson, M., & Simmers, J. (2000). Transition to endogenous bursting after long-term decentralization requires De novo transcription in a critical time window. Journal of Neurophysiology, 84, 596–599.
Thoby-Brisson, M., & Simmers, J. (2002). Long-term neuromodulatory regulation of a motor pattern-generating network: maintenance of synaptic efficacy and oscillatory properties. Journal of Neurophysiology, 88, 2942–2953.
Tobin, A. E., & Calabrese, R. L. (2005). Myomodulin increases Ih and inhibits the NA/K pump to modulate bursting in leech heart interneurons. Journal of Neurophysiology, 94, 3938–3950.
Tryba, A. K., Pena, F., & Ramirez, J. M. (2003). Stabilization of bursting in respiratory pacemaker neurons. The Journal of Neuroscience, 23, 3538–3546.
Vladimirski, B. B., Tabak, J., O’Donovan, M. J., & Rinzel, J. (2008). Episodic activity in a heterogeneous excitatory network, from spiking neurons to mean field. Journal of Computational Neuroscience, 25, 39–63.
Wong, R. O., Chernjavsky, A., Smith, S. J., & Shatz, C. J. (1995). Early functional neural networks in the developing retina. Nature, 374, 716–718.
Yuste, R., Nelson, D. A., Rubin, W. W., & Katz, L. C. (1995). Neuronal domains in developing neocortex: mechanisms of coactivation. Neuron, 14, 7–17.
Zhang, Y., & Golowasch, J. (2007). Modeling recovery of rhythmic activity: hypothesis for the role of a calcium pump. Neurocomputing, 70, 1657–1662.
Zhang, Y., Khorkova, O., Rodriguez, R., & Golowasch, J. (2009). Activity and neuromodulatory input contribute to the recovery of rhythmic output after decentralization in a central pattern generator. Journal of Neurophysiology, 101, 372–386.
Acknowledgements
This research was supported by NIH grant MH64711 (JG).
Author information
Authors and Affiliations
Corresponding author
Additional information
Action Editor: Frances K. Skinner
Rights and permissions
About this article
Cite this article
Zhang, Y., Golowasch, J. Recovery of rhythmic activity in a central pattern generator: analysis of the role of neuromodulator and activity-dependent mechanisms. J Comput Neurosci 31, 685–699 (2011). https://doi.org/10.1007/s10827-011-0338-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10827-011-0338-8