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A Mathematical Model for Simultaneous Spatio-Temporal Dynamics of Calcium and Inositol 1,4,5-Trisphosphate in Madin–Darby Canine Kidney Epithelial Cells

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Abstract

The landmark paper by Hirose et al. (Hirose, K., Kadowaki, S., Tanabe, M., Takeshima, H., Iino, M., Science 284:1527–1530, 1999) presented experimental investigations to show that not only can calcium upregulate IP3, but that it can also have an inhibitory effect on IP3. In this paper, we present a preliminary model, which is consistent with these experiments. This model includes positive and negative feedback between calcium and IP3 and is able to reproduce more precisely the data presented in Hirose et al. (Hirose, K., Kadowaki, S., Tanabe, M., Takeshima, H., Iino, M., Science 284:1527–1530, 1999). In the second part of the paper, the intracellular and intercellular calcium movement in Madin–Darby canine kidney epithelial cells is investigated. With the aid of the model we are able to identify the aspects of IP3 and calcium signalling, which should be studied further experimentally before refining the model.

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Abbreviations

IP3 :

inositol 1,4,5-trisphosphate

ER:

endo(sarco)plasmic reticulum

IP3R:

inositol 1,4,5-trisphosphate receptor

ATP:

adenosine triphosphate

GFP:

green fluorescent protein

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Authors and Affiliations

  1. Centre for Industrial and Applied Mathematics, Mathematical Institute, Oxford University, 24-29 St. Giles, Oxford, OX1 3LB, UK

    T. Roose & S. J. Chapman

  2. Centre for Mathematical Biology, Mathematical Institute, Oxford University, 24-29 St. Giles, Oxford, OX1 3LB, UK

    T. Roose & P. K. Maini

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  1. T. Roose
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  2. S. J. Chapman
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  3. P. K. Maini
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Correspondence to T. Roose.

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Roose, T., Chapman, S.J. & Maini, P.K. A Mathematical Model for Simultaneous Spatio-Temporal Dynamics of Calcium and Inositol 1,4,5-Trisphosphate in Madin–Darby Canine Kidney Epithelial Cells. Bull. Math. Biol. 68, 2027–2051 (2006). https://doi.org/10.1007/s11538-006-9064-1

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  • DOI: https://doi.org/10.1007/s11538-006-9064-1

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