The Sparta and the Athens Of Our Age At Daggers Drawn: Polities, Perceptions, and Peace

While historically notions of democracy have varied widely, democratic peace theory has generally defined it in procedural terms. This article takes a close look at the Anglo-French confrontation of 1840. I show that while leaders on both sides were prepared to risk war to gain bargaining advantages, only the French left really wanted to fight. Why? By today's criteria, Britain was incontestably more democratic, with its monarch's powers far more restricted and its suffrage several times as large. Nevertheless, both sides considered France more democratic, with French republicans despising Britain as an aristocratic oligarchy. While Spencer Weart is right to argue that democratic republics may be hostile to oligarchic ones, they will not necessarily define each other according to modern procedural criteria. Instead, they may judge regimes by the broader social structures that shape power relationships and by outcomes, possibly explaining wars or near misses between democracies.

Democratization in a passive dendritic tree: an analytical investigation

One way to achieve amplification of distal synaptic inputs on a dendritic tree is to scale the amplitude and/or duration of the synaptic conductance with its distance from the soma. This is an example of what is often referred to as “dendritic democracy”. Although well studied experimentally, to date this phenomenon has not been thoroughly explored from a mathematical perspective. In this paper we adopt a passive model of a dendritic tree with distributed excitatory synaptic conductances and analyze a number of key measures of democracy. In particular, via moment methods we derive laws for the transport, from synapse to soma, of strength, characteristic time, and dispersion. These laws lead immediately to synaptic scalings that overcome attenuation with distance. We follow this with a Neumann approximation of Green’s representation that readily produces the synaptic scaling that democratizes the peak somatic voltage response. Results are obtained for both idealized geometries and for the more realistic geometry of a rat CA1 pyramidal cell. For each measure of democratization we produce and contrast the synaptic scaling associated with treating the synapse as either a conductance change or a current injection. We find that our respective scalings agree up to a critical distance from the soma and we reveal how this critical distance decreases with decreasing branch radius.