A Keller-Segel model for C elegans L1 aggregation

PLoS Comput Biol. 2021 Jul 29;17(7):e1009231. doi: 10.1371/journal.pcbi.1009231. eCollection 2021 Jul.

Abstract

We describe a mathematical model for the aggregation of starved first-stage C elegans larvae (L1s). We propose that starved L1s produce and respond chemotactically to two labile diffusible chemical signals, a short-range attractant and a longer range repellent. This model takes the mathematical form of three coupled partial differential equations, one that describes the movement of the worms and one for each of the chemical signals. Numerical solution of these equations produced a pattern of aggregates that resembled that of worm aggregates observed in experiments. We also describe the identification of a sensory receptor gene, srh-2, whose expression is induced under conditions that promote L1 aggregation. Worms whose srh-2 gene has been knocked out form irregularly shaped aggregates. Our model suggests this phenotype may be explained by the mutant worms slowing their movement more quickly than the wild type.

Publication types

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

MeSH terms

  • Animal Communication
  • Animals
  • Behavior, Animal / physiology*
  • Caenorhabditis elegans / genetics
  • Caenorhabditis elegans / physiology*
  • Caenorhabditis elegans Proteins / genetics
  • Caenorhabditis elegans Proteins / physiology
  • Computational Biology
  • Computer Simulation
  • Gene Expression
  • Gene Knockout Techniques
  • Larva / genetics
  • Larva / physiology
  • Mathematical Concepts
  • Models, Biological*
  • Receptors, G-Protein-Coupled / deficiency
  • Receptors, G-Protein-Coupled / genetics
  • Receptors, G-Protein-Coupled / physiology
  • Social Behavior
  • Starvation / physiopathology

Substances

  • Caenorhabditis elegans Proteins
  • Receptors, G-Protein-Coupled