  We propose a new stochastic model for biological neural nets which is a
continuous time version of the model proposed by Galves and L\"ocherbach in [A.
Galves and E. L\"ocherbach, "Infinite systems of interacting chains with
memory of variable length - a stochastic model for biological neural nets", J.
Stat. Phys. 151 (2013), no. 5, 896-921]. We also show how to computationally
simulate such model for easy neuron potential decays and probability functions
and characterize when the model has a finite time of death almost surely.
