What is required for neuronal calcium waves? a numerical parameter study

  • Neuronal calcium signals propagating by simple diffusion and reaction with mobile and stationary buffers are limited to cellular microdomains. The distance intracellular calcium signals can travel may be significantly increased by means of calcium-induced calcium release from internal calcium stores, notably the endoplasmic reticulum. The organelle, which can be thought of as a cell-within-a-cell, is able to sequester large amounts of cytosolic calcium ions via SERCA pumps and selectively release them into the cytosol through ryanodine receptor channels leading to the formation of calcium waves. In this study, we set out to investigate the basic properties of such dendritic calcium waves and how they depend on the three parameters dendrite radius, ER radius and ryanodine receptor density in the endoplasmic membrane. We demonstrate that there are stable and abortive regimes for calcium waves, depending on the above morphological and physiological parameters. In stable regimes, calcium waves can travel across long dendritic distances, similar to electrical action potentials. We further observe that abortive regimes exist, which could be relevant for spike-timing dependent plasticity, as travel distances and wave velocities vary with changing intracellular architecture. For some of these regimes, analytic functions could be derived that fit the simulation data. In parameter spaces, that are non-trivially influenced by the three-dimensional calcium concentration profile, we were not able to derive such a functional description, demonstrating the mathematical requirement to model and simulate biochemical signaling in three-dimensional space.
Author:Markus Breit, Sean Gillian Queisser
Pubmed Id:https://pubmed.ncbi.nlm.nih.gov/30006849
Parent Title (English):Journal of mathematical neuroscience
Publisher:BioMed Central
Place of publication:London
Document Type:Article
Year of Completion:2018
Date of first Publication:2018/07/13
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2018/08/23
Tag:3D modeling; Calcium waves; Endoplasmic reticulum; Numerical simulation; Ryanodine receptors; Structure-function interplay
Issue:1, Art. 9
Page Number:22
First Page:1
Last Page:22
Open Access: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Institutes:Wissenschaftliche Zentren und koordinierte Programme / Goethe-Zentrum f├╝r Wissenschaftliches Rechnen (G-CSC)
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
6 Technik, Medizin, angewandte Wissenschaften / 61 Medizin und Gesundheit / 610 Medizin und Gesundheit
Licence (German):License LogoCreative Commons - Namensnennung 4.0