5 citations · 5 across the 4 of their papers we have counts for
4 papers
Existence of a -periodic solution for the monodomain model corresponding to an isolated ventricle due to ionic-diffusive relations
Andres Fraguela-Collar, Raul Felipe-Sosa, Jacques Henry +1
In this paper, we find relations between the ionic parameters and the diffusion parameters which are sufficient to ensure the existence of a periodic solution for a well-known mono…
A theoretical connection between the noisy leaky integrate-and-fire and escape rate models: the non-autonomous case
Grégory Dumont, Jacques Henry, Carmen Oana Tarniceriu
One of the most important challenges in mathematical neuroscience is to properly illustrate the stochastic nature of neurons. Among different approaches, the noisy leaky integrate-…
Theoretical connections between mathematical neuronal models corresponding to different expressions of noise
Grégory Dumont, Jacques Henry, Carmen Oana Tarniceriu
Identifying the right tools to express the stochastic aspects of neural activity has proven to be one of the biggest challenges in computational neuroscience. Even if there is no d…
Noisy threshold in neuronal models: connections with the noisy leaky integrate-and-fire model
Grégory Dumont, Jacques Henry, Carmen Oana Tarniceriu
Providing an analytical treatment to the stochastic feature of neurons' dynamics is one of the current biggest challenges in mathematical biology. The noisy leaky integrate-and-fir…