Pattern Formation in the Longevity-Related Expression of Heat Shock Protein-16.2 in Caenorhabditis elegans

Bull Math Biol. 2018 Oct;80(10):2669-2697. doi: 10.1007/s11538-018-0482-7. Epub 2018 Aug 10.

Abstract

Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat shock protein-16.2 show a spatial patterning across the 20 intestinal cells that reside along the length of the worm. Here, we present a hypothesized mechanism that could lead to this patterned response and develop a mathematical model of this system to test our hypothesis. We propose that the patterned expression of heat shock protein is caused by a diffusion-driven instability within the pseudocoelom, or fluid-filled cavity, that borders the intestinal cells in C. elegans. This instability is due to the interactions between two classes of insulin-like peptides that serve antagonistic roles. We examine output from the developed model and compare it to experimental data on heat shock protein expression. Given biologically bounded parameters, the model presented is capable of producing patterns similar to what is observed experimentally and provides a first step in mathematically modeling aging-related mechanisms in C. elegans.

Keywords: Aging; Diffusion-driven instability; Insulin-like signaling; Reaction diffusion model.

Publication types

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

MeSH terms

  • Aging / genetics
  • Aging / metabolism
  • Animals
  • Animals, Genetically Modified
  • Caenorhabditis elegans / cytology
  • Caenorhabditis elegans / genetics
  • Caenorhabditis elegans / metabolism*
  • Caenorhabditis elegans Proteins / antagonists & inhibitors
  • Caenorhabditis elegans Proteins / genetics
  • Caenorhabditis elegans Proteins / metabolism*
  • Computer Simulation
  • Gene Expression Regulation
  • Heat-Shock Proteins / genetics
  • Heat-Shock Proteins / metabolism*
  • Heat-Shock Response / genetics
  • Heat-Shock Response / physiology
  • Hydrophobic and Hydrophilic Interactions
  • Intercellular Signaling Peptides and Proteins / genetics
  • Intercellular Signaling Peptides and Proteins / metabolism
  • Intestinal Mucosa / cytology
  • Intestinal Mucosa / metabolism
  • Longevity / genetics
  • Longevity / physiology*
  • Mathematical Concepts
  • Models, Biological*
  • Peptide Hormones / chemistry
  • Peptide Hormones / genetics
  • Peptide Hormones / metabolism
  • Receptor, Insulin / antagonists & inhibitors
  • Receptor, Insulin / genetics
  • Receptor, Insulin / metabolism
  • Signal Transduction

Substances

  • Caenorhabditis elegans Proteins
  • Heat-Shock Proteins
  • INS-18 protein, C elegans
  • Intercellular Signaling Peptides and Proteins
  • Peptide Hormones
  • hsp-16.2 protein, C elegans
  • DAF-2 protein, C elegans
  • Receptor, Insulin