2 papers
math.AP2025
Comparison principles and asymptotic behavior of delayed age-structured neuron models
MarÃa J Cáceres, José A Cañizo, Nicolas Torres
In the context of neuroscience the elapsed-time model is an age-structured equation that describes the behavior of interconnected spiking neurons through the time since the last di…
math.DS2025
On the local stability of the elapsed-time model in terms of the transmission delay and interconnection strength
MarÃa J. Cáceres, José A Cañizo, Nicolas Torres
The elapsed-time model describes the behavior of interconnected neurons through the time since their last spike. It is an age-structured non-linear equation in which age correspond…