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math.AP2016★ 45 cited
Traveling Pulses for a Two-Species Chemotaxis Model
Casimir Emako, Charlène Gayrard, Axel Buguin +2
Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel…
math.AP2013★ 6 cited
On a voltage-conductance kinetic system for integrate and fire neural networks
Benoit Perthame, Delphine Salort
The voltage-conductance kinetic equation for integrate and fire neurons has been used in neurosciences since a decade and describes the probability density of neurons in a network.…
math.AP2011★ 1 cited
Relaxation and self-sustained oscillations in the time elapsed neuron network model
Khashayar Pakdaman, Benoît Perthame, Delphine Salort
The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathemat…