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Journal of Computational Neuroscience

, Volume 42, Issue 3, pp 257–273 | Cite as

Mathematical investigation of IP3-dependent calcium dynamics in astrocytes

  • Gregory Handy
  • Marsa Taheri
  • John A. White
  • Alla BorisyukEmail author
Article

Abstract

We study evoked calcium dynamics in astrocytes, a major cell type in the mammalian brain. Experimental evidence has shown that such dynamics are highly variable between different trials, cells, and cell subcompartments. Here we present a qualitative analysis of a recent mathematical model of astrocyte calcium responses. We show how the major response types are generated in the model as a result of the underlying bifurcation structure. By varying key channel parameters, mimicking blockers used by experimentalists, we manipulate this underlying bifurcation structure and predict how the distributions of responses can change. We find that store-operated calcium channels, plasma membrane bound channels with little activity during calcium transients, have a surprisingly strong effect, underscoring the importance of considering these channels in both experiments and mathematical settings. Variation in the maximum flow in different calcium channels is also shown to determine the range of stable oscillations, as well as set the range of frequencies of the oscillations. Further, by conducting a randomized search through the parameter space and recording the resulting calcium responses, we create a database that can be used by experimentalists to help estimate the underlying channel distribution of their cells.

Keywords

Astrocytes Calcium response Hopf Bifurcation Store operated calcium channels 

Notes

Acknowledgements

This work was supported by the National Science Foundation (DMS-1022945 to A. Borisyuk; DMS-1148230, to A. Borisyuk and G. Handy) and the National Institutes of Health (R01 NS078331, to J.A. White and K.S. Wilcox).

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflict of interest

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA
  2. 2.Department of BioengineeringUniversity of UtahSalt Lake CityUSA
  3. 3.Department of Biomedical EngineeringBoston UniversityBostonUSA

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