Spatial Quantification of Cytosolic Ca2+ Accumulation in Nonexcitable Cells: An Analytical Study

F. López-Caamal, D. A. Oyarzún, R. H. Middleton, M. R. García

Research output: Contribution to journalArticlepeer-review

Abstract

Calcium ions act as messengers in a broad range of processes such as learning, apoptosis, and muscular movement. The transient profile and the temporal accumulation of calcium signals have been suggested as the two main characteristics in which calcium cues encode messages to be forwarded to downstream pathways. We address the analytical quantification of calcium temporal-accumulation in a long, thin section of a nonexcitable cell by solving a boundary value problem. In these expressions we note that the cytosolic Ca2+ accumulation is independent of every intracellular calcium flux and depends on the Ca2+ exchange across the membrane, cytosolic calcium diffusion, geometry of the cell, extracellular calcium perturbation, and initial concentrations. In particular, we analyse the time-integrated response of cytosolic calcium due to i) a localised initial concentration of cytosolic calcium and ii) transient extracellular perturbation of calcium. In these scenarios, we conclude that i) the range of calcium progression is confined to the vicinity of the initial concentration, thereby creating calcium microdomains; and ii) we observe a low-pass filtering effect in the response driven by extracellular Ca2+ perturbations. Additionally, we note that our methodology can be used to analyse a broader range of stimuli and scenarios.
Original languageEnglish
Pages (from-to)592-603
Number of pages12
JournalIEEE/ACM Transactions on Computational Biology and Bioinformatics
Volume11
Issue number3
DOIs
Publication statusPublished - 1 May 2014

Keywords

  • biodiffusion
  • bioelectric potentials
  • biomembrane transport
  • boundary-value problems
  • calcium
  • filtering theory
  • low-pass filters
  • muscle
  • reaction-diffusion systems
  • spatial quantification
  • cytosolic Ca2+ accumulation
  • nonexcitable cells
  • calcium ions
  • messengers
  • learning
  • apoptosis
  • muscular movement
  • transient profile
  • temporal accumulation
  • calcium signals
  • calcium cues
  • message encoding
  • forwarded-downstream pathways
  • analytical quantification
  • calcium temporal-accumulation
  • nonexcitable cell
  • boundary value problem
  • intracellular calcium flux
  • Ca2+ exchange
  • membrane
  • cytosolic calcium diffusion
  • cell geometry
  • extracellular calcium perturbation
  • time-integrated response
  • localised initial concentration
  • transient extracellular perturbation
  • calcium progression
  • initial concentration vicinity
  • calcium microdomains
  • low-pass filtering effect
  • Computational biology
  • Bioinformatics
  • Biomembranes
  • Biological system modeling
  • Intracellular calcium dynamics
  • nonlinear reaction-diffusion systems
  • astrocytes
  • exact analytical solution
  • Ca$^2+$ microdomains
  • Astrocytes
  • Calcium
  • Calcium Signaling
  • Computational Biology
  • Cytosol
  • Humans
  • Models, Biological

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