Reproducing complex behaviors of a musculoskeletal model such as rodent locomotion, requires the creation of a controller able to process high bandwidth of sensory input and compute the corresponding motor response.

This usually entails creating large scale neural networks which in turn result in high computational costs. To solve this issue, mathematical simplification methods are needed to capture the essential properties of these networks.

One of the most crucial steps in mouse brain reconstruction is the reduction of detailed neuronal morphologies to point neurons. This is however not trivial, as these morphologies are not only needed to determine the connectivity between neurons by providing contact points, but also by allowing the computation of the propagation of the current through your cell.

This requires however the computation of the potential of every dendritic and axonal sub-sections.

A new model is thus needed that us computationally lighter but generic enough to capture all possible dynamics observed in detailed models.

Recent work by Christian Pozzorini et al. [1] tried to address this issue by creating a General Integrate and Fire (or GIF) point neuron model. This was done by optimizing neuronal parameters by using activities, and input currents.

The GIF model captures more dynamics of biological neurons than the classical Integrate and Fire (or IaF) model, such as stochasticity of spiking or spike-triggered current. However, it still cannot reproduce all dendritic dynamics observed in detailed models.

As a result, Rössert and al. [2] created an algorithm to reduce the synaptic and dendritic processes, by creating cluster of receptors. Each receptor receives multiple currents and treats them using linear filtering. This point neuron model is therefore not only one of the most biologically accurate that exists, but is also faster than a detailed counterpart. This is crucial for large scale simulations.

Simplification of neuron models is a way to extract the base dynamics of your neurons to simulate only what is needed. It is also an important indicator of the information that get lost in the process. It will be therefore a required step in our project in order to simulate the whole mouse brain and indeed, we will use these models in our project of closed-loop simulation with the rodent body.

[1] Pozzorini, C., Mensi, S., Hagens, O., Naud, R., Koch, C., & Gerstner, W. (2015). Automated High-Throughput Characterization of Single Neurons by Means of Simplified Spiking Models. PLOS Computational Biology PLoS Comput Biol, 11(6).

[2] Rössert, C., Pozzorini, C., Chindemi, G., Davison, A. P., Eroe, C., King, J., … Muller, E. (2016). Automated point-neuron simplification of data-driven microcircuit models.