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Optimization and testing of a reduced model of pyramidal neurons Arnd Roth Wolfson Institute for Biomedical Research University College London
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How do neurons transform synaptic inputs into action potential output?
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What are the functional compartments in neurons?
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Backpropagation of action potentials Stuart & Sakmann, 1994
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Dendritic spikes in vivo Helmchen, Svoboda, Denk & Tank, 1999
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Local dendritic spikes in vivo Smith, Smith, Branco & Häusser, 2013
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BAC firing in layer 5 pyramidal cells Larkum, Zhu & Sakmann, 1999
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Critical frequency for calcium electrogenesis Larkum, Kaiser & Sakmann, 1999
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Constraining passive parameters in compartmental models Roth & Häusser (2001)
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„Raw“ and „core“ model parameters
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Turning bad space clamp into a virtue Schaefer, Helmstaedter, Sakmann & Korngreen, 2003
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Dendrotomy and „pinching“ Bekkers & Häusser, 2007
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Dendrotomy and „pinching“ change somatic AP waveforms
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Detailed and reduced models Traub et al., 1991Pinsky & Rinzel, 1994
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Case study: a reduced compartmental model of a layer 5 pyramidal neuron Bahl, Stemmler, Herz & Roth, 2012
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Verification of passive properties
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Pinching in a layer 5 pyramidal neuron
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Model generalization
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f/I curves before and after pinching
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BAC firing
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Attwell & Gibb Nature Reviews Neuroscience (2005); Fig. 2 mod. Redistribution of ions: Na + -K + -ATPase Percentage of energy expended on neuronal signalling in rat neocortex Hodgkin & Huxley J. Physiol. (London) (1952d); Figs. 17 and 18 Energy efficiency of action potentials in the Hodgkin-Huxley model Hodgkin´s notion (1975): „In the squid axon... the entry of sodium and loss of potassium per impulse are 3 to 4 times the theoretical minimum of C m U AP.“ (Charging a pure capacitor)
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Charge separation Transmembrane ion fluxes during a mossy fiber bouton action potential at 37 °C
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Transmembrane ion fluxes during a mossy fiber bouton action potential at 37 °C Alle, Roth & Geiger, 2009
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Challenges Nonlinearity and large number of free parameters present a difficult optimization problem Which data and which distance functions can constrain which type of model? Tradeoff between flexibility and identifiability Access to high-quality, internally consistent, annotated data sets
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What we need Test suites to objectively compare different (classes of) models (-> Open Source Brain) Standardized, portable model description (-> NeuroML) Simulator-independent model construction (e.g. neuroConstruct) and optimization (e.g. MOO) Integration of data from electrophysiological and optical recordings with morphological and molecular biology data Objective methods for dimensionality reduction
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