Evaluating the Arrhenius equation for developmental processes.

TitleEvaluating the Arrhenius equation for developmental processes.
Publication TypeJournal Article
Year of Publication2021
AuthorsCrapse, J, Pappireddi, N, Gupta, M, Shvartsman, SY, Wieschaus, E, Wühr, M
JournalMol Syst Biol
Volume17
Issue8
Paginatione9895
Date Published2021/08/31
ISSN1744-4292
Abstract

The famous Arrhenius equation is well suited to describing the temperature dependence of chemical reactions but has also been used for complicated biological processes. Here, we evaluate how well the simple Arrhenius equation predicts complex multi-step biological processes, using frog and fruit fly embryogenesis as two canonical models. We find that the Arrhenius equation provides a good approximation for the temperature dependence of embryogenesis, even though individual developmental intervals scale differently with temperature. At low and high temperatures, however, we observed significant departures from idealized Arrhenius Law behavior. When we model multi-step reactions of idealized chemical networks, we are unable to generate comparable deviations from linearity. In contrast, we find the two enzymes GAPDH and β-galactosidase show non-linearity in the Arrhenius plot similar to our observations of embryonic development. Thus, we find that complex embryonic development can be well approximated by the simple Arrhenius equation regardless of non-uniform developmental scaling and propose that the observed departure from this law likely results more from non-idealized individual steps rather than from the complexity of the system.

DOI10.15252/msb.20209895
Alternate JournalMol Syst Biol
PubMed ID34414660
PubMed Central IDPMC8377445
Grant ListR01 GM134204 / GM / NIGMS NIH HHS / United States
/ / Howard Hughes Medical Institute (HHMI) /
T32 GM007388 / GM / NIGMS NIH HHS / United States
R35 GM128813 / GM / NIGMS NIH HHS / United States