Calcium diffusion modeling in a spherical neuron. Relevance of buffering properties

Biophys J. 1990 Feb;57(2):313-24. doi: 10.1016/S0006-3495(90)82533-9.


We have developed a calcium diffusion model for a spherical neuron which incorporates calcium influx and extrusion through the plasma membrane as well as three calcium buffer systems with different capacities, mobilities, and kinetics. The model allows us to calculate the concentration of any of the species involved at all locations in the cell and can be used to account for experimental data obtained with high-speed Ca imaging techniques. The influence of several factors on the Ca2+ transients is studied. The relationship between peak [Ca2+]i and calcium load is shown to be nonlinear and to depend on buffer characteristics. The time course of the Ca2+ signals is also shown to be dependent on buffer properties. In particular, buffer mobility strongly determines the size and time course of Ca2+ signals in the cell interior. The model predicts that the presence of exogenous buffer, such as fura-2, modifies the Ca2+ transients to a variable extent depending on its proportion relative to the natural, intrinsic buffers. The conclusions about natural calcium buffer properties that can be derived from Ca imaging experiments are discussed.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Animals
  • Buffers
  • Calcium / metabolism*
  • Cell Membrane / metabolism
  • Diffusion
  • Fluorescent Dyes
  • Kinetics
  • Mathematics
  • Models, Neurological*
  • Neurons / metabolism*
  • Rana catesbeiana
  • Sympathetic Nervous System / metabolism


  • Buffers
  • Fluorescent Dyes
  • Calcium