Modeling IP-induced Ca signaling based on its interspike interval statistics.

Inositol 1,4,5-trisphosphate (IP)-induced Ca signaling is a second messenger system used by almost all eukaryotic cells. Recent research demonstrated randomness of Ca signaling on all structural levels. We compile eight general properties of Ca spiking common to all cell types investigated and suggest a theory of Ca spiking starting from the random behavior of IP receptor channel clusters mediating the release of Ca from the endoplasmic reticulum capturing all general properties and pathway-specific behavior.

Stochastic reaction-diffusion modeling of calcium dynamics in 3D dendritic spines of Purkinje cells.

Calcium (Ca) is a second messenger assumed to control changes in synaptic strength in the form of both long-term depression and long-term potentiation at Purkinje cell dendritic spine synapses via inositol trisphosphate (IP)-induced Ca release. These Ca transients happen in response to stimuli from parallel fibers (PFs) from granule cells and climbing fibers (CFs) from the inferior olivary nucleus. These events occur at low numbers of free Ca, requiring stochastic single-particle methods when modeling them.

The stretch to stray on time: Resonant length of random walks in a transient.

First-passage times in random walks have a vast number of diverse applications in physics, chemistry, biology, and finance. In general, environmental conditions for a stochastic process are not constant on the time scale of the average first-passage time or control might be applied to reduce noise. We investigate moments of the first-passage time distribution under an exponential transient describing relaxation of environmental conditions.