Modeling ion channel dynamics through reflected stochastic differential equations. by Dangerfield, C, Kay, D, Burrage, K

“…Continuous stochastic methods that use stochastic differential equations (SDEs) to model the system are more efficient but can lead to simulations that have no biological meaning. …”

Modeling ion channel dynamics through reflected stochastic differential equations by Dangerfield, C, Kay, D, Burrage, K

Modeling ion channel dynamics through reflected stochastic differential equations by Dangerfield, C, Kay, D, Burrage, K

“…Continuous stochastic methods that use stochastic differential equations (SDEs) to model the system are more efficient but can lead to simulations that have no biological meaning. …”

A boundary preserving numerical algorithm for the Wright-Fisher model with mutation by Dangerfield, C, Kay, D, MacNamara, S, Burrage, K

“…The Wright-Fisher model is an Itô stochastic differential equation that was originally introduced to model genetic drift within finite populations and has recently been used as an approximation to ion channel dynamics within cardiac and neuronal cells. …”

Stochastic Models and Simulation of Ion Channel Dynamics by Dangerfield, C, Kay, D, Burrage, K, ICCS

“…By assuming that such transition rates are constant over each time step, it is possible to derive a stochastic differential equation (SDE), in the same manner as for biochemical reaction networks, that describes the stochastic dynamics of ion channels. …”