Continuum and compartmental models are presented as alternative descriptions of the electrical behaviour of a dendrite. The one-dimensional continuum model provides a reference against which the accuracy of compartmental models may be assessed. Traditional compartmental models are shown to be...

Many stochastic differential equations (SDEs) do not have readily available closed-form expressions for their transitional probability density functions (PDFs). As a result, a large number of competing estimation approaches have been proposed in order to obtain maximum-likelihood estimates of...

Compartmental models of dendrites are the most widely used tool for investigating their electrical behaviour. Traditional models assign a single potential to a compartment. This potential is associated with the membrane potential at the centre of the segment represented by the compartment. All...