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Stochastic fluctuation plays an important role in biology. In a small subcellular compartment like dendritic spines of pyramidal hippocampal cells, the basal level of Ca2+ concentration (~100 nM) entails six Ca2+ ions. In such a small volume, the stochastic nature of chemical reactions considerably influences intracellular signal transductions [1]. In fact, Ca+2 is an important intracellular second messenger regulating many postsynaptic enzymes which in turn trigger modifications of synaptic strength or structure. Most of these interactions are highly nonlinear. For these reasons, we need an efficient and accurate stochastic simulation method to study synaptic functions.

Modeling stochastic calcium dynamics in the dendritic spines: a hybrid algorithm