Abstract

Pyramidal neurons consume most signaling-related energy to generate action potentials (APs) and perform synaptic integration. Dendritic Ca2+ spike is an important integration mechanism for coupling inputs from different cortical layers. Our objective was to quantify the metabolic energy associated with the generation of Ca2+ APs in the dendrites. We used morphology-based computational models to simulate the dendritic Ca2+ spikes in layer 5 pyramidal neurons. We calculated the energy cost by converting Ca2+ influx into the number of ATP required to restore and maintain the homeostasis of intracellular Ca2+ concentrations. We quantified the effects of synaptic inputs, dendritic voltage, back-propagating Na+ spikes, and Ca2+ inactivation on Ca2+ spike cost. We showed that much more ATP molecules were required for reversing Ca2+ influx in the dendrites than for Na+ ion pumping in the soma during a Ca2+ AP. Increasing synaptic input increased the rate of dendritic depolarization and underlying Ca2+ influx, resulting in higher ATP consumption. Depolarizing dendritic voltage resulted in the inactivation of Ca2+ channels and reduced the ATP cost, while dendritic hyperpolarization increased the spike cost by de-inactivating Ca2+ channels. A back-propagating Na+ AP initiated in the soma increased Ca2+ spike cost in the apical dendrite when it coincided with a synaptic input within a time window of several milliseconds. Increasing Ca2+ inactivation rate reduced Ca2+ spike cost, while slowing Ca2+ inactivation increased the spike cost. The results revealed that the energy demand of a Ca2+ AP was dynamically dependent on the state of dendritic activity. These findings were important for predicting the energy budget for signaling in pyramidal cells, interpreting functional imaging data, and designing energy-efficient neuromorphic devices.

Highlights

  • The brain has powerful capacity of information processing, which makes a substantial contribution to the body’s energy consumption

  • Our results revealed that the ATP cost of a Ca2+ action potentials (APs) was dependent on the state of dendritic activity, which was determined by the synaptic inputs, membrane voltage, backpropagating AP (bAP), and Ca2+ inactivation

  • We used biologically realistic models of layer 5 (L5) pyramidal neurons to investigate the energy cost of a Ca2+ spike initiated in the apical dendrites

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Summary

Introduction

The brain has powerful capacity of information processing, which makes a substantial contribution to the body’s energy consumption. Pyramidal neurons are the main integrators in the cortical column (Spruston, 2008) Their unique dendrites span all cortical layers (Binzegger et al, 2004), which have powerful ability to process excitatory and inhibitory signals (Magee, 2000; Spruston, 2008; Stuart and Spruston, 2015). Once the depolarization reaches the threshold for activation of voltage-dependent Ca2+ channels, a Ca2+ AP is generated in the apical dendrites (Magee, 2000; Stuart and Spruston, 2015) Such threshold-dependent, regenerative response provides a cellular mechanism in pyramidal cells for coupling inputs arriving at different cortical layers (Larkum et al, 1999; Larkum, 2013). As an active dendritic integration, the Ca2+ spike plays a crucial role in neural computation, network dynamics, and cortical processing (Magee, 2000; Spruston, 2008; Larkum, 2013; Stuart and Spruston, 2015)

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