Improvement and evaluation of a mathematical model for fertilization calcium waves in Caenorhabditis elegans

Momoko Imakubo, Jun Takayama, Shuichi Onami

Research output: Contribution to journalArticle

Abstract

Ca2+ waves propagate through the oocyte during fertilization, activate the oocyte and induce embryonic development. Ca2+-induced Ca2+-release (CICR) is a mechanism of Ca2+ wave formation. We previously quantified the Ca2+ waves in the nematode Caenorhabditis elegans by using high-speed imaging and image analysis. We found that the waves consist of a rapid local rise at the point of sperm entry and a slow global wave. We demonstrated that the Nagumo model, which models the CICR by a reaction-diffusion equation, can produce a similar biphasic waveform. However, the model cannot represent the observed gradual decrease in maximum Ca2+ concentration with increasing distance from the point of sperm entry. In this study, we introduced a linear monotonically decreasing function into the reaction part of the Nagumo model. We demonstrated that our new model can produce the gradual decrease in maximum Ca2+ concentration with increasing distance from the point of sperm entry and a biphasic waveform simultaneously.

Original languageEnglish
Pages (from-to)24-30
Number of pages7
JournalIPSJ Transactions on Bioinformatics
Volume11
DOIs
Publication statusPublished - 2018 Jul
Externally publishedYes

Keywords

  • Calcium wave
  • Computer simulation
  • Fertilization
  • Reaction-diffusion model

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology (miscellaneous)
  • Computer Science Applications

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