journal article Jan 26, 2011

Multiple models to capture the variability in biological neurons and networks

Topics

No keywords indexed for this article. Browse by subject →

References
50
[1]
A quantitative description of membrane current and its application to conduction and excitation in nerve

A. L. Hodgkin, A. F. Huxley

The Journal of Physiology 1952 10.1113/jphysiol.1952.sp004764
[2]
Connor, J.A., Walter, D. & McKown, R. Neural repetitive firing: modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons. Biophys. J. 18, 81–102 (1977). 10.1016/s0006-3495(77)85598-7
[3]
Traub, R.D., Wong, R.K., Miles, R. & Michelson, H. A model of a CA3 hippocampal pyramidal neuron incorporating voltage-clamp data on intrinsic conductances. J. Neurophysiol. 66, 635–650 (1991). 10.1152/jn.1991.66.2.635
[4]
Jaeger, D., De Schutter, E. & Bower, J.M. The role of synaptic and voltage-gated currents in the control of Purkinje cell spiking: a modeling study. J. Neurosci. 17, 91–106 (1997). 10.1523/jneurosci.17-01-00091.1997
[5]
Edelman, G.M. & Gally, J.A. Degeneracy and complexity in biological systems. Proc. Natl. Acad. Sci. USA 98, 13763–13768 (2001). 10.1073/pnas.231499798
[6]
Korobkova, E., Emonet, T., Vilar, J.M., Shimizu, T.S. & Cluzel, P. From molecular noise to behavioural variability in a single bacterium. Nature 428, 574–578 (2004). 10.1038/nature02404
[7]
Demarque, M. & Spitzer, N.C. Activity-dependent expression of Lmx1b regulates specification of serotonergic neurons modulating swimming behavior. Neuron 67, 321–334 (2010). 10.1016/j.neuron.2010.06.006
[8]
Marder, E. & Calabrese, R.L. Principles of rhythmic motor pattern generation. Physiol. Rev. 76, 687–717 (1996). 10.1152/physrev.1996.76.3.687
[9]
Bucher, D., Prinz, A.A. & Marder, E. Animal-to-animal variability in motor pattern production in adults and during growth. J. Neurosci. 25, 1611–1619 (2005). 10.1523/jneurosci.3679-04.2005
[10]
Goaillard, J.M., Taylor, A.L., Schulz, D.J. & Marder, E. Functional consequences of animal-to-animal variation in circuit parameters. Nat. Neurosci. 12, 1424–1430 (2009). 10.1038/nn.2404
[11]
Goldman, M.S., Golowasch, J., Marder, E. & Abbott, L.F. Global structure, robustness, and modulation of neuronal models. J. Neurosci. 21, 5229–5238 (2001). 10.1523/jneurosci.21-14-05229.2001
[12]
Schulz, D.J., Goaillard, J.M. & Marder, E. Variable channel expression in identified single and electrically coupled neurons in different animals. Nat. Neurosci. 9, 356–362 (2006). 10.1038/nn1639
[13]
Schulz, D.J., Goaillard, J.M. & Marder, E.E. Quantitative expression profiling of identified neurons reveals cell-specific constraints on highly variable levels of gene expression. Proc. Natl. Acad. Sci. USA 104, 13187–13191 (2007). 10.1073/pnas.0705827104
[14]
Khorkova, O. & Golowasch, J. Neuromodulators, not activity, control coordinated expression of ionic currents. J. Neurosci. 27, 8709–8718 (2007). 10.1523/jneurosci.1274-07.2007
[15]
MacLean, J.N. et al. Activity-independent coregulation of IA and Ih in rhythmically active neurons. J. Neurophysiol. 94, 3601–3617 (2005). 10.1152/jn.00281.2005
[16]
Swensen, A.M. & Bean, B.P. Robustness of burst firing in dissociated Purkinje neurons with acute or long-term reductions in sodium conductance. J. Neurosci. 25, 3509–3520 (2005). 10.1523/jneurosci.3929-04.2005
[17]
Norris, B.J., Weaver, A.L., Wenning, A., Garcia, P.S. & Calabrese, R.L. A central pattern generator producing alternative outputs: pattern, strength, and dynamics of premotor synaptic input to leech heart motor neurons. J. Neurophysiol. 98, 2992–3005 (2007). 10.1152/jn.00877.2007
[18]
Golowasch, J., Goldman, M.S., Abbott, L.F. & Marder, E. Failure of averaging in the construction of a conductance-based neuron model. J. Neurophysiol. 87, 1129–1131 (2002). 10.1152/jn.00412.2001
[19]
Hagiwara, S. & Oomura, Y. The critical depolarization for the spike in the squid giant axon. Jpn. J. Physiol. 8, 234–245 (1958). 10.2170/jjphysiol.8.234
[20]
Similar network activity from disparate circuit parameters

Astrid A Prinz, Dirk Bucher, Eve Marder

Nature Neuroscience 2004 10.1038/nn1352
[21]
Marder, E. & Goaillard, J.M. Variability, compensation and homeostasis in neuron and network function. Nat. Rev. Neurosci. 7, 563–574 (2006). 10.1038/nrn1949
[22]
Hudson, A.E. & Prinz, A.A. Conductance ratios and cellular identity. PLOS Comput. Biol. 6, e1000838 (2010). 10.1371/journal.pcbi.1000838
[23]
Beer, R.D., Chiel, H.J. & Gallagher, J.C. Evolution and analysis of model CPGs for walking: II. General principles and individual variability. J. Comput. Neurosci. 7, 119–147 (1999). 10.1023/a:1008920021246
[24]
Tobin, A.E. & Calabrese, R.L. Endogenous and half-center bursting in morphologically inspired models of leech heart interneurons. J. Neurophysiol. 96, 2089–2106 (2006). 10.1152/jn.00025.2006
[25]
Sobie, E.A. Parameter sensitivity analysis in electrophysiological models using multivariable regression. Biophys. J. 96, 1264–1274 (2009). 10.1016/j.bpj.2008.10.056
[26]
Prinz, A.A., Billimoria, C.P. & Marder, E. Alternative to hand-tuning conductance-based models: construction and analysis of databases of model neurons. J. Neurophysiol. 90, 3998–4015 (2003). 10.1152/jn.00641.2003
[27]
Taylor, A.L., Goaillard, J.M. & Marder, E. How multiple conductances determine electrophysiological properties in a multicompartment model. J. Neurosci. 29, 5573–5586 (2009). 10.1523/jneurosci.4438-08.2009
[28]
Olypher, A.V. & Calabrese, R.L. Using constraints on neuronal activity to reveal compensatory changes in neuronal parameters. J. Neurophysiol. 98, 3749–3758 (2007). 10.1152/jn.00842.2007
[29]
Olypher, A.V. & Prinz, A.A. Geometry and dynamics of activity-dependent homeostatic regulation in neurons. J. Comput. Neurosci. 28, 361–374 (2010). 10.1007/s10827-010-0213-z
[30]
Grashow, R., Brookings, T. & Marder, E. Compensation for variable intrinsic neuronal excitability by circuit-synaptic interactions. J. Neurosci. 30, 9145–9156 (2010). 10.1523/jneurosci.0980-10.2010
[31]
Nerbonne, J.M., Gerber, B.R., Norris, A. & Burkhalter, A. Electrical remodelling maintains firing properties in cortical pyramidal neurons lacking KCND2-encoded A-type K+ currents. J. Physiol. (Lond.) 586, 1565–1579 (2008). 10.1113/jphysiol.2007.146597
[32]
MacLean, J.N., Zhang, Y., Johnson, B.R. & Harris-Warrick, R.M. Activity-independent homeostasis in rhythmically active neurons. Neuron 37, 109–120 (2003). 10.1016/s0896-6273(02)01104-2
[33]
LeMasson, G., Marder, E. & Abbott, L.F. Activity-dependent regulation of conductances in model neurons. Science 259, 1915–1917 (1993). 10.1126/science.8456317
[34]
Liu, Z., Golowasch, J., Marder, E. & Abbott, L.F. A model neuron with activity-dependent conductances regulated by multiple calcium sensors. J. Neurosci. 18, 2309–2320 (1998). 10.1523/jneurosci.18-07-02309.1998
[35]
Turrigiano, G.G. The self-tuning neuron: synaptic scaling of excitatory synapses. Cell 135, 422–435 (2008). 10.1016/j.cell.2008.10.008
[36]
Davis, G.W. Homeostatic Control of Neural Activity: From Phenomenology to Molecular Design. Annu. Rev. Neurosci. 29, 307–323 (2006). 10.1146/annurev.neuro.28.061604.135751
[37]
Maffei, A. & Fontanini, A. Network homeostasis: a matter of coordination. Curr. Opin. Neurobiol. 19, 168–173 (2009). 10.1016/j.conb.2009.05.012
[38]
Grashow, R., Brookings, T. & Marder, E. Reliable neuromodulation from circuits with variable underlying structure. Proc. Natl. Acad. Sci. USA 106, 11742–11746 (2009). 10.1073/pnas.0905614106
[39]
Tang, L. et al. Precise Temperature Compensation of Phase in a Rhythmic Motor Pattern. PLoS Biol. 8, e1000469 (2010). 10.1371/journal.pbio.1000469
[40]
Desai, N.J., Rutherford, L.C., Nelson, S.B. & Turrigiano, G.G. Activity-dependent regulation of intrinsic conductances in cortical neurons. Neurocomputing 26-27, 101–106 (1999). 10.1016/s0925-2312(99)00004-1
[41]
Guckenheimer, J., Gueron, S. & Harris-Warrick, R.M. Mapping the dynamics of a bursting neuron. Phil. Trans. R. Soc. Lond. B 341, 345–359 (1993). 10.1098/rstb.1993.0121
[42]
Butera, R.J. Jr. Rinzel, J. & Smith, J.C. Models of respiratory rhythm generation in the pre-Bötzinger complex. II. Populations of coupled pacemaker neurons. J. Neurophysiol. 82, 398–415 (1999). 10.1152/jn.1999.82.1.398
[43]
Jezzini, S.H., Hill, A.A., Kuzyk, P. & Calabrese, R.L. Detailed model of intersegmental coordination in the timing network of the leech heartbeat central pattern generator. J. Neurophysiol. 91, 958–977 (2004). 10.1152/jn.00656.2003
[44]
Bhalla, U.S. & Bower, J.M. Exploring parameter space in detailed single neuron models: simulations of the mitral and granule cells of the olfactory bulb. J. Neurophysiol. 69, 1948–1965 (1993). 10.1152/jn.1993.69.6.1948
[45]
Taylor, A.L., Hickey, T.J., Prinz, A.A. & Marder, E. Structure and visualization of high-dimensional conductance spaces. J. Neurophysiol. 96, 891–905 (2006). 10.1152/jn.00367.2006
[46]
Hobbs, K.H. & Hooper, S.L. Using complicated, wide dynamic range driving to develop models of single neurons in single recording sessions. J. Neurophysiol. 99, 1871–1883 (2008). 10.1152/jn.00032.2008
[47]
Vanier, M.C. & Bower, J.M. A comparative survey of automated parameter-search methods for compartmental neural models. J. Comput. Neurosci. 7, 149–171 (1999). 10.1023/a:1008972005316
[48]
Gunay, C., Edgerton, J.R. & Jaeger, D. Channel density distributions explain spiking variability in the globus pallidus: a combined physiology and computer simulation database approach. J. Neurosci. 28, 7476–7491 (2008). 10.1523/jneurosci.4198-07.2008
[49]
Monte Carlo Statistical Methods

Christian P. Robert, George Casella

Springer Texts in Statistics 10.1007/978-1-4757-4145-2
[50]
Padmanabhan, K. & Urban, N.N. Intrinsic biophysical diversity decorrelates neuronal firing while increasing information content. Nat. Neurosci. 13, 1276–1282 (2010). 10.1038/nn.2630
Metrics
424
Citations
50
References
Details
Published
Jan 26, 2011
Vol/Issue
14(2)
Pages
133-138
License
View
Cite This Article
Eve Marder, Adam L Taylor (2011). Multiple models to capture the variability in biological neurons and networks. Nature Neuroscience, 14(2), 133-138. https://doi.org/10.1038/nn.2735
Related

You May Also Like