Modeling oscillations and spiral waves in Dictyostelium populations.

TitleModeling oscillations and spiral waves in Dictyostelium populations.
Publication TypeJournal Article
Year of Publication2015
AuthorsNoorbakhsh, J, Schwab, DJ, Sgro, AE, Gregor, T, Mehta, P
JournalPhys Rev E Stat Nonlin Soft Matter Phys
Volume91
Issue6
Pagination062711
Date Published2015 Jun
ISSN1550-2376
KeywordsCyclic AMP, Dictyostelium, Extracellular Space, Kinetics, Models, Biological, Signal Transduction
Abstract

<p>Unicellular organisms exhibit elaborate collective behaviors in response to environmental cues. These behaviors are controlled by complex biochemical networks within individual cells and coordinated through cell-to-cell communication. Describing these behaviors requires new mathematical models that can bridge scales-from biochemical networks within individual cells to spatially structured cellular populations. Here we present a family of "multiscale" models for the emergence of spiral waves in the social amoeba Dictyostelium discoideum. Our models exploit new experimental advances that allow for the direct measurement and manipulation of the small signaling molecule cyclic adenosine monophosphate (cAMP) used by Dictyostelium cells to coordinate behavior in cellular populations. Inspired by recent experiments, we model the Dictyostelium signaling network as an excitable system coupled to various preprocessing modules. We use this family of models to study spatially unstructured populations of "fixed" cells by constructing phase diagrams that relate the properties of population-level oscillations to parameters in the underlying biochemical network. We then briefly discuss an extension of our model that includes spatial structure and show how this naturally gives rise to spiral waves. Our models exhibit a wide range of novel phenomena. including a density-dependent frequency change, bistability, and dynamic death due to slow cAMP dynamics. Our modeling approach provides a powerful tool for bridging scales in modeling of Dictyostelium populations. </p>

DOI10.1103/PhysRevE.91.062711
Alternate JournalPhys Rev E Stat Nonlin Soft Matter Phys
PubMed ID26172740
PubMed Central IDPMC5142844
Grant ListK25 GM098875 / GM / NIGMS NIH HHS / United States
K25GM086909 / GM / NIGMS NIH HHS / United States
F32 GM103062 / GM / NIGMS NIH HHS / United States
P50 GM071508 / GM / NIGMS NIH HHS / United States
K25 GM086909 / GM / NIGMS NIH HHS / United States
R01 GM098407 / GM / NIGMS NIH HHS / United States