Abstract
Different neuromodulators often target the same ion channel. When such modulators act on different neuron types, this convergent action can enable a rhythmic network to produce distinct outputs. Less clear are the functional consequences when two neuromodulators influence the same ion channel in the same neuron. We examine the consequences of this seeming redundancy using a mathematical model of the crab gastric mill (chewing) network. This network is activated in vitro by the projection neuron MCN1, which elicits a half-center bursting oscillation between the reciprocally-inhibitory neurons LG and Int1. We focus on two neuropeptides which modulate this network, including a MCN1 neurotransmitter and the hormone crustacean cardioactive peptide (CCAP). Both activate the same voltage-gated current (I MI ) in the LG neuron. However, I MI-MCN1 , resulting from MCN1 released neuropeptide, has phasic dynamics in its maximal conductance due to LG presynaptic inhibition of MCN1, while I MI-CCAP retains the same maximal conductance in both phases of the gastric mill rhythm. Separation of time scales allows us to produce a 2D model from which phase plane analysis shows that, as in the biological system, I MI-MCN1 and I MI-CCAP primarily influence the durations of opposing phases of this rhythm. Furthermore, I MI-MCN1 influences the rhythmic output in a manner similar to the Int1-to-LG synapse, whereas I MI-CCAP has an influence similar to the LG-to-Int1 synapse. These results show that distinct neuromodulators which target the same voltage-gated ion channel in the same network neuron can nevertheless produce distinct effects at the network level, providing divergent neuromodulator actions on network activity.
Similar content being viewed by others
References
Akay, T., Wood, D., & Nusbaum, M. P. (2004). Reciprocal inhibition is not necessary for generation of all gastric mill rhythms. In SfN 34th Annual Meeting. San Diego, CA.
Ambrosio-Mouser, C., Nadim, F., & Bose, A. (2006). The effects of varying the timing of inputs on a neuronal oscillator. SIAM Journal on Applied Dynamical Systems, 5, 108–139.
Bacci, A., Huguenard, J. R., & Prince, D. A. (2005). Modulation of neocortical interneurons: extrinsic influences and exercises in self-control. Trends in Neurosciences, 28, 602–610.
Bartos, M., & Nusbaum, M. P. (1997). Intercircuit control of motor pattern modulation by presynaptic inhibition. Journal of Neuroscience, 17, 2247–2256.
Bartos, M., Manor, Y., Nadim, F., Marder, E., & Nusbaum, M. P. (1999). Coordination of fast and slow rhythmic neuronal circuits. Journal of Neuroscience, 19, 6650–6660.
Beenhakker, M. P., DeLong, N. D., Saideman, S. R., Nadim, F., & Nusbaum, M. P. (2005). Proprioceptor regulation of motor circuit activity by presynaptic inhibition of a modulatory projection neuron. Journal of Neuroscience, 25, 8794–8806.
Blitz, D. M., & Nusbaum, M. P. (2008). State-dependent presynaptic inhibition regulates central pattern generator feedback to descending inputs. Journal of Neuroscience, 28, 9564–9574.
Blitz, D. M., Christie, A. E., Coleman, M. J., Norris, B. J., Marder, E. & Nusbaum, M. P. (1999). Different proctolin neurons elicit distinct motor patterns from a multifunctional neuronal network. Journal of Neuroscience, 19, 5449–5463.
Briggman, K. L., & Kristan, W. B. (2008). Multifunctional pattern-generating circuits. Annual Review of Neuroscience, 31, 271–294.
Calabrese, R. L. (1999). Taking the lead from a model. Current Biology, 9, R680–R683.
Calabrese, R. L., Norris, B. J., Wenning, A., & Wright, T. M. (2011). Coping with variability in small neuronal networks. Integrative and Comparative Biology, 51, 845–855.
Christie, A. E., Stemmler, E. A., & Dickinson, P. S. (2010). Crustacean neuropeptides. Cellular and Molecular Life Sciences, 67, 4135–4169.
Coleman, M. J., Meyrand, P., & Nusbaum, M. P. (1995). A switch between two modes of synaptic transmission mediated by presynaptic inhibition. Nature, 378, 502–505.
DeLong, N. D., Beenhakker, M. P., & Nusbaum, M. P. (2009a). Presynaptic inhibition selectively weakens peptidergic cotransmission in a small motor system. Journal of Neurophysiology, 102, 3492–3504.
DeLong, N. D., Kirby, M. S., Blitz, D. M., & Nusbaum, M. P. (2009b). Parallel regulation of a modulator-activated current via distinct dynamics underlies comodulation of motor circuit output. Journal of Neuroscience, 29, 12355–12367.
Derjean, D., Moussaddy, A., Atallah, E., St-Pierre, M., Auclair, F., Chang, S., Ren, X., Zielinski, B., & Dubuc, R. (2010). A novel neural substrate for the transformation of olfactory inputs into motor output. PLoS Biology, 8, e1000567.
Di Prisco, G. V., Pearlstein, E., Le Ray, D., Robitaille, R., & Dubuc, R. (2000). A cellular mechanism for the transformation of a sensory input into a motor command. Journal of Neuroscience, 20, 8169–8176.
Dickinson, P. S. (2006). Neuromodulation of central pattern generators in invertebrates and vertebrates. Current Opinion in Neurobiology, 16, 604–614.
Diehl, F., White, R. S., Stein, W., & Nusbaum, M. P. (2013). Motor circuit-specific burst patterns drive different muscle and behavior patterns. Journal of Neuroscience, 33, 12013–12029.
Doi, A., & Ramirez, J. M. (2008). Neuromodulation and the orchestration of the respiratory rhythm. Respiratory Physiology & Neurobiology, 164, 96–104.
Dzirasa, K., Ribeiro, S., Costa, R., Santos, L. M., Lin, S. C., Grosmark, A., Sotnikova, T. D., Gainetdinov, R. R., Caron, M. G., & Nicolelis, M. A. (2006). Dopaminergic control of sleep-wake states. Journal of Neuroscience, 26, 10577–10589.
Ermentrout, G. B. (2002). Simulating, analyzing, and animating dynamical systems: A guide to Xppaut for researchers and students (software, environments, tools). Philadelphia: SIAM.
Grillner, S. (2006). Biological pattern generation: the cellular and computational logic of networks in motion. Neuron, 52, 751–766.
Harris-Warrick, R. M. (2011). Neuromodulation and flexibility in Central Pattern Generator networks. Current Opinion in Neurobiology, 21, 685–692.
Hawkins, V. E., Hawryluk, J. M., Takakura, A. C., Tzingounis, A. V., Moreira, T. S., & Mulkey, D. K. (2015). HCN channels contribute to serotonergic modulation of ventral surface chemosensitive neurons and respiratory activity. Journal of Neurophysiology, 113, 1195–1205.
Kintos, N., & Nadim, F. (2014). A modeling exploration of how synaptic feedback to descending projection neurons shapes the activity of an oscillatory network. SIAM J Applied Dynamical Systems, 13, 1239–1269.
Kintos, N., Nusbaum, M. P., & Nadim, F. (2008). A modeling comparison of projection neuron- and neuromodulator-elicited oscillations in a central pattern generating network. Journal of Computational Neuroscience, 24, 374–397.
Kirby, M. S., & Nusbaum, M. P. (2007). Peptide hormone modulation of a neuronally modulated motor circuit. Journal of Neurophysiology, 98, 3206–3220.
LeBeau, F. E., El Manira, A., & Griller, S. (2005). Tuning the network: modulation of neuronal microcircuits in the spinal cord and hippocampus. Trends in Neurosciences, 28, 552–561.
Lieske, S. P., & Ramirez, J. M. (2006). Pattern-specific synaptic mechanisms in a multifunctional network. II. Intrinsic modulation by metabotropic glutamate receptors. Journal of Neurophysiology, 95, 1334–1344.
Lieske, S. P., Thoby-Brisson, M., Telgkamp, P., & Ramirez, J. M. (2000). Reconfiguration of the neural network controlling multiple breathing patterns: eupnea, sighs and gasps [see comment]. Nature Neuroscience, 3, 600–607.
Manor, Y., Nadim, F., Abbott, L. F., & Marder, E. (1997). Temporal dynamics of graded synaptic transmission in the lobster stomatogastric ganglion. Journal of Neuroscience, 17, 5610–5621.
Manor, Y., Nadim, F., Epstein, S., Ritt, J., Marder, E., & Kopell, N. (1999). Network oscillations generated by balancing graded asymmetric reciprocal inhibition in passive neurons. Journal of Neuroscience, 19, 2765–2779.
Marder, E. (2012). Neuromodulation of neuronal circuits: back to the future. Neuron, 76, 1–11.
Marder, E., & Bucher, D. (2007). Understanding circuit dynamics using the stomatogastric nervous system of lobsters and crabs. Annual Review of Physiology, 69, 291–316.
Marder, E., & Thirumalai, V. (2002). Cellular, synaptic and network effects of neuromodulation. Neural Networks, 15, 479–493.
McCormick, D. A., & Pape, H. C. (1990). Noradrenergic and serotonergic modulation of a hyperpolarization-activated cation current in thalamic relay neurones. Journal of Physiology, 431, 319–342.
Mishchenko, E. F., & Rozov, N. K. (1980). Differential equations with small parameters and relaxation oscillators. New York: Plenum Press.
Morgan, P. T., Perrins, R., Lloyd, P. E., & Weiss, K. R. (2000). Intrinsic and extrinsic modulation of a single central pattern generating circuit. Journal of Neurophysiology, 84, 1186–1193.
Nadim, F., & Bucher, D. (2014). Neuromodulation of neurons and synapses. Current Opinion in Neurobiology, 29C, 48–56.
Nadim, F., Manor, Y., Nusbaum, M. P., & Marder, E. (1998). Frequency regulation of a slow rhythm by a fast periodic input. Journal of Neuroscience, 18, 5053–5067.
Nassel, D. R. (2009). Neuropeptide signaling near and far: how localized and timed is the action of neuropeptides in brain circuits? Invertebrate Neuroscience, 9, 57–75.
Nusbaum, M. P. (2002). Regulating peptidergic modulation of rhythmically active neural circuits. Brain, Behavior and Evolution, 60, 378–387.
Nusbaum, M. P., & Beenhakker, M. P. (2002). A small-systems approach to motor pattern generation. Nature, 417, 343–350.
Nusbaum, M. P., & Blitz, D. M. (2012). Neuropeptide modulation of microcircuits. Current Opinion in Neurobiology, 22, 592–601.
Nusbaum, M. P., Blitz, D. M., Swensen, A. M., Wood, D., & Marder, E. (2001). The roles of co-transmission in neural network modulation. Trends in Neurosciences, 24, 146–154.
Peck, J. H., Gaier, E., Stevens, E., Repicky, S., & Harris-Warrick, R. M. (2006). Amine modulation of Ih in a small neural network. Journal of Neurophysiology, 96, 2931–2940.
Raper, J. A. (1979). Nonimpulse-mediated synaptic transmission during the generation of a cyclic motor program. Science, 205, 304–306.
Rauscent, A., Einum, J., Le Ray, D., Simmers, J., & Combes, D. (2009). Opposing aminergic modulation of distinct spinal locomotor circuits and their functional coupling during amphibian metamorphosis. Journal of Neuroscience, 29, 1163–1174.
Rodriguez, J. C., Blitz, D. M., & Nusbaum, M. P. (2013). Convergent rhythm generation from divergent cellular mechanisms. Journal of Neuroscience, 33, 18047–18064.
Saideman, S. R., Blitz, D. M., & Nusbaum, M. P. (2007). Convergent motor patterns from divergent circuits. Journal of Neuroscience, 27, 6664–6674.
Skiebe, P. (2001). Neuropeptides are ubiquitous chemical mediators: using the stomatogastric nervous system as a model system. Journal of Experimental Biology, 204, 2035–2048.
Stein, W., DeLong, N. D., Wood, D. E., & Nusbaum, M. P. (2007). Divergent co-transmitter actions underlie motor pattern activation by a modulatory projection neuron. European Journal of Neuroscience, 26, 1148–1165.
Swensen, A. M., & Marder, E. (2000). Multiple peptides converge to activate the same voltage-dependent current in a central pattern-generating circuit. Journal of Neuroscience, 20, 6752–6759.
Swensen, A. M., & Marder, E. (2001). Modulators with convergent cellular actions elicit distinct circuit outputs. Journal of Neuroscience, 21, 4050–4058.
White, R. S., & Nusbaum, M. P. (2011). The same core rhythm generator underlies different rhythmic motor patterns. Journal of Neuroscience, 31, 11484–11494.
Wood, D. E., Stein, W., & Nusbaum, M. P. (2000). Projection neurons with shared cotransmitters elicit different motor patterns from the same neural circuit. Journal of Neuroscience, 20, 8943–8953.
Yarger, A. M., & Stein, W. (2015). Sources and range of long-term variability of rhthmic motor patterns in vivo. Journal of Experimental Biology, 24, 3950–3961.
Zhao, S., Sheibanie, A. F., Oh, M., Rabbah, P., & Nadim, F. (2011). Peptide neuromodulation of synaptic dynamics in an oscillatory network. Journal of Neuroscience, 31, 13991–14004.
Acknowledgments
Supported by NIH MH060605 (FN), Kenny Fund Fellowship (NK), and NIH NS029436 (MPN).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Action Editor: Frances K. Skinner
Appendix
Appendix
Below is the program code for the xpp file associated with the model. The changes in parameter values needed for some of the figures are listed as comments in the code.
Rights and permissions
About this article
Cite this article
Kintos, N., Nusbaum, M.P. & Nadim, F. Convergent neuromodulation onto a network neuron can have divergent effects at the network level. J Comput Neurosci 40, 113–135 (2016). https://doi.org/10.1007/s10827-015-0587-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10827-015-0587-z