39 citations · 41 across the 15 of their papers we have counts for
4 papers · 1 filter
Mean field analysis of large-scale interacting populations of stochastic conductance-based spiking neurons using the Klimontovich method
Daniel Gandolfo, Roger Rodriguez, Henry C. Tuckwell
We investigate the dynamics of large-scale interacting neural populations, composed of conductance based, spiking model neurons with modifiable synaptic connection strengths, which…
Gompertzian population growth under some deterministic and stochastic jump schedules
Henry C. Tuckwell
Many cell populations, exemplified by certain tumors, grow approximately according to a Gompertzian growth model which has a slower approach to an upper limit than that of logistic…
The space-clamped Hodgkin-Huxley system with random synaptic input: inhibition of spiking by weak noise and analysis with moment equations
Henry C. Tuckwell, Susanne Ditlevsen
We consider a classical space-clamped Hodgkin-Huxley model neuron stimulated by synaptic excitation and inhibition with conductances represented by Ornstein-Uhlenbeck processes. Us…
Density independent population growth with random survival
Henry C. Tuckwell
A simplified model for the growth of a population is studied in which random effects arise because reproducing individuals have a certain probability of surviving until the next br…