Mathematical foundations of neuroscience

By G. Ermentrout, David H. Terman. 2010

1,237 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/ee806e4e315631dfc65fc4167a6fe35a73e2b1e1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Paul C. Bressloff
2. Hiroya Nakao

In Molecular Biology

1. Paul C. Bressloff
2. Hiroya Nakao
3. Karl J. Friston

Citations in the corpus

• Emergent Dynamical Properties of the BCM Learning Rule (2017, background): “where Ii is the external input to the neuron [27].”
• Phase reduction approach to synchronisation of nonlinear oscillators (2016, methodology): “The idea of phase reduction was also extensively developed by Ermentrout and Kopell [7, 26, 27, 28], particularly in relation to the mathematical modeling of neural systems.”
• Spatiotemporal dynamics of continuum neural fields (2012, background): “We then highlight a sequence of approximations that can be made to reduce a network of spiking neurons to an effective rate-based model, distinguishing between voltage-based and activity-based versions along the lines of Ermentrout [15] [31].”