|
Numerical simulations for electrically
induced, intra-cellular calcium-release from the endoplasmic reticulum
are reported. A two-step model is used for self-consistency. Distributed
electrical circuit representation coupled with the Smoluchowski equation
yields the Endoplasmic Reticulum (ER) membrane nano-poration dynamics. This is combined with the
continuum Li-Rinzel model for calcium flow. Our results are shown to be
in agreement with reported calcium release data. A modest increase
(rough doubling) of the cellular calcium is predicted in the absence of
extra-cellular calcium. In particular, the applied field of 15 kV/cm
with 60 ns pulse duration makes for a strong comparison. No oscillations
are predicted and the net recovery period of about 5 minutes, are both
in agreement with published experimental results. |

Simulation results for average
Ca-concentration in the ER as a function of time. |

Simulation results for average
Ca-concentration in cytosol as a function of time. |