Abstract
The dependence of intracellular calcium dynamics on geometrical size relations between calcium-exchanging parts of the intracellular space was studied in mathematical models corresponding to a thin fragment of the Purkinje neuron spiny dendrite. The plasma membrane contained ion channels typical of this cell type, including channels that conduct an excitatory synaptic current, and ion pumps. The model equations took into account calcium exchange between the cytosol, extracellular medium, intracellular store (a cistern of the endoplasmic reticulum, ER), endogenous calcium buffers, and an exogenous buffer (fluorescent dye used in the experiments). The ER membrane contained the calcium pump and channels of calcium-dependent and inositol-3-phosphate-dependent calcium release, as well as leakage channels. With the compartment size fixed, the ER cistern diameter was varied so that the proportion of the organelle in the total volume changed from 1 to 36%. Under these conditions, identical synaptic excitation caused similar electrical reactions (calcium spikes) but different concentration responses. Equal increments in the ER diameter led to unequal, more pronounced at thicker diameters, increments of the peak cytosolic concentrations of Са2+ ([Ca2+] i ) and of a Са2+-fluorescent dye complex [CaD], as well as those of the Са2+ concentration in the dendrite ER (characterized by a shift from the basal level, Δ[Ca2+]ER). The changes in [Ca2+] i and [CaD] followed more adequately those in the volume of the organelle-free cytosol, while Δ[Ca2+]ER changes were more similar to those in the ER membrane area. Therefore, the relative occupancy of the intracellular volume by organellar calcium stores and their sizes in a dendritic compartment are important structural factors that essentially modulate the calcium dynamics, and this structural dependence can be adequately reflected in the experiments using fluorophores.
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