Okinawa Institute of Science and Technology Japanese
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Erik De Schutter Unit
Computational Neuroscience Unit
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  antwerp Theoretical NeuroBiology

Abstract
We use computational methods to study how neurons and microcircuits in the brain operate. We are interested in the interaction between fundamental properties like morphology or homeostatic regulation and neural functions like information processing or learning. Most of our models concern the cerebellum as this brain structure has a relatively simple anatomy and the physiology of its main neurons has been studied extensively, allowing for detailed modeling at many different levels of complexity.

Research Goals
1) The importance of morphology for function at multiple scales.
Many neuroscientists ignore morphology in their analysis of experimental data. Examples are the application of unrestricted one-dimensional diffusion equations to the analysis of high resolution imaging data recorded in spines and dendrites or the view that any neuron can be treated as a point neuron. Often the simulator tools to properly model the effects of morphology are simply absent. This is for example the case for reaction-diffusion modeling of signaling pathways involved in synaptic plasticity.
Within this topic we focus on two levels:
- importance of submicroscopic morphology for reaction-diffusion systems applied to the induction of long-term depression of parallel fiber synapses in Purkinje cells.
- synaptic processing by active dendrites and realistic modeling of the growth of active dendrites, again mostly focused on the Purkinje cell.

2) The importance of homeostasis in neuronal excitability and synaptic networks.
Traditionally neurons are seen as standardized assembly line products where a fixed combination of a particular set of features, in particular ion and synaptic channels, determines their function. Recently we have come to realize that there is actually a large variability in the expression of channels for neurons with identical firing behavior and that this can be self-regulated if changes in activity occur. This has resulted in the concept of homeostasis for both voltage-gated and synaptic channels.
The homeostasis concept has big implications for modeling of neurons and networks, which we want to investigate in detail. What is the spread and structure of parameter space for neuron models and how can this be regulated in a dynamic way? What is the impact of synaptic homeostasis on learning rules in circuits where several learning mechanisms co-exist? What is the proper way to incorporate homeostatic rules in neuron and network models and are these rules constant over development?

3) Neural coding at multiple levels in the olivocerebellar and corticocerebellar systems.
The cerebellum is interesting from a functional viewpoint as it is both very important, considering its size and number of neurons, but rather poorly understood, especially its function in cognition. In man the corticopontine projection to cerebellum is the biggest cortical output, suggesting an important interaction between cortical and cerebellar operations.
While the olivocerebellar system has been extensively modeled in the context of motor control theory, little use has been made of spiking neuron models. Combined modeling and experimental work has led to our hypothesis that pauses in Purkinje cell simple spiking are an important coding principle. How does this coding principle extend to the population level and what is the predicted direct effect on neurons in deep cerebellar nuclei and indirectly on the inferior olive? How does this interact with learning in the olivocerebellar system?
Where it has been studied in detail, like the tactile projections to the cerebellar hemispheres of the rat, it was found that primary sensory and cortical sensory neurons project to the same area of the cerebellum with overlapping receptive fields. This implies that the cerebellar neurons receive two versions of the same input with a time delay between them. What is the predicted interaction between these temporally delayed inputs and can the comparison of these two representations be used in control theory?

Strategies
We use computational methods in close collaboration with experimental labs that can both provide the data needed to constrain the models and verify the modeling predictions. We mostly use compartmental modeling strategies but will extend these further, e.g. our new Purkinje cell model will have molecularly identified channels. In some cases we also use simpler spiking models for large network simulations. In general we are quite interested in multi-scale modeling.
Our innovative research often requires software development. Currently we are working on STEPS, a simulator for stochastic reaction-diffusion systems in realistic morphologies, HSOLVE, a module for efficient compartmental simulation of cellular models, and NeuroFitter for automated parameter searches for cellular models.





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