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J Neurophysiol (May 10, 2006). doi:10.1152/jn.00367.2006
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Submitted on April 7, 2006
Accepted on April 26, 2006

Structure and visualization of high-dimensional conductance spaces

Adam L Taylor1*, Timothy J. Hickey2, Astrid A Prinz3, and Eve Marder4

1 Biology, Brandeis University, Waltham, Massachusetts, United States
2 Computer Science, Brandeis University, Waltham, Massachusetts, United States
3 Biology Department, Emory University, Atlanta, Georgia, United States
4 Volen Center, MS 013, Brandeis University, Waltham, Massachusetts, United States

* To whom correspondence should be addressed. E-mail: altaylor{at}brandeis.edu.

Neurons, and realistic models of neurons, typically express several different types of voltage-gated conductances. These conductances are subject to continual regulation. Therefore, it is essential to understand how changes in the conductances of a neuron affect its intrinsic properties, such as burst period or delay to firing following inhibition of a particular duration and magnitude. Even in model neurons, it can be difficult to visualize how the intrinsic properties vary as a function of their underlying maximal conductances. We used a technique, called clutter-based dimension reor-dering (CBDR), which enabled us to visualize intrinsic properties in high-dimensional conductance spaces. We applied CBDR to a family of models with eight different types of voltage- and calcium-dependent channels. CBDR yields images that reveal structure in the underlying conductance space. CBDR can also be used to visualize the results of other types of analysis. As examples, we use CBDR to visualize the results of a connected components analysis, and to visually evaluate the results of a separating-hyperplane (i.e. linear classifier) analysis. We believe that CBDR will be a useful tool for visualizing the conductance spaces of neuronal models in many systems.




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