A Model of [Formula: see text] Dynamics in an Accurate Reconstruction of Parotid Acinar Cells

Bull Math Biol. 2019 May;81(5):1394-1426. doi: 10.1007/s11538-018-00563-z. Epub 2019 Jan 14.

Abstract

We have constructed a spatiotemporal model of [Formula: see text] dynamics in parotid acinar cells, based on new data about the distribution of inositol trisphophate receptors (IPR). The model is solved numerically on a mesh reconstructed from images of a cluster of parotid acinar cells. In contrast to our earlier model (Sneyd et al. in J Theor Biol 419:383-393. https://doi.org/10.1016/j.jtbi.2016.04.030 , 2017b), which cannot generate realistic [Formula: see text] oscillations with the new data on IPR distribution, our new model reproduces the [Formula: see text] dynamics observed in parotid acinar cells. This model is then coupled with a fluid secretion model described in detail in a companion paper: A mathematical model of fluid transport in an accurate reconstruction of a parotid acinar cell (Vera-Sigüenza et al. in Bull Math Biol. https://doi.org/10.1007/s11538-018-0534-z , 2018b). Based on the new measurements of IPR distribution, we show that Class I models (where [Formula: see text] oscillations can occur at constant [[Formula: see text]]) can produce [Formula: see text] oscillations in parotid acinar cells, whereas Class II models (where [[Formula: see text]] needs to oscillate in order to produce [Formula: see text] oscillations) are unlikely to do so. In addition, we demonstrate that coupling fluid flow secretion with the [Formula: see text] signalling model changes the dynamics of the [Formula: see text] oscillations significantly, which indicates that [Formula: see text] dynamics and fluid flow cannot be accurately modelled independently. Further, we determine that an active propagation mechanism based on calcium-induced calcium release channels is needed to propagate the [Formula: see text] wave from the apical region to the basal region of the acinar cell.

Keywords: Calcium dynamics; Finite-element modelling; Fluid secretion; Inositol triphosphate receptors; Parotid acinar cells.

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Acinar Cells / metabolism*
  • Animals
  • Calcium Signaling / physiology*
  • Cell Membrane / metabolism
  • Cell Polarity
  • Computer Simulation
  • Diffusion
  • Finite Element Analysis
  • Humans
  • Hydrodynamics
  • Imaging, Three-Dimensional
  • Inositol 1,4,5-Trisphosphate Receptors / metabolism
  • Mathematical Concepts
  • Models, Biological*
  • Parotid Gland / cytology
  • Parotid Gland / metabolism*
  • Saliva / metabolism
  • Sarcoplasmic Reticulum Calcium-Transporting ATPases / metabolism

Substances

  • Inositol 1,4,5-Trisphosphate Receptors
  • Sarcoplasmic Reticulum Calcium-Transporting ATPases