2 papers
math.PR2023
A voltage-conductance kinetic system from neuroscience: probabilistic reformulation and exponential ergodicity
Xu'an Dou, Fanhao Kong, Weijun Xu +1
The voltage-conductance kinetic equation for an ensemble of neurons has been studied by many scientists and mathematicians, while its rigorous analysis is still at a premature stag…
math.AP2023
An infinite-times renewal equation
Xu'An Dou, Benoît Perthame, Chenjiayue Qi +2
In neuroscience, the time elapsed since the last discharge has been used to predict the probability of the next discharge. Such predictions can be improved taking into account the…