TY - JOUR
T1 - Evaluating the Arrhenius equation for developmental processes
AU - Crapse, Joseph
AU - Pappireddi, Nishant
AU - Gupta, Meera
AU - Shvartsman, Stanislav Y.
AU - Wieschaus, Eric
AU - Wühr, Martin
N1 - Funding Information:
We would like to thank Steven Kuntz and Michael Eisen to share the raw data of their 2014 publication for reanalysis. We would like to thank Trudi Schüpbach, Elizabeth Van Itallie, and members of the Wühr and Wieschaus laboratories for helpful suggestions and discussions. This work was supported by NIH grant R35 GM128813 (MW), R01 GM134204‐01 (SS), and T32 GM007388 (NP). We are grateful for HHMI support (EW).
Funding Information:
We would like to thank Steven Kuntz and Michael Eisen to share the raw data of their 2014 publication for reanalysis. We would like to thank Trudi Schüpbach, Elizabeth Van Itallie, and members of the Wühr and Wieschaus laboratories for helpful suggestions and discussions. This work was supported by NIH grant R35 GM128813 (MW), R01 GM134204-01 (SS), and T32 GM007388 (NP). We are grateful for HHMI support (EW).
Publisher Copyright:
© 2021 The Authors. Published under the terms of the CC BY 4.0 license
PY - 2021/8
Y1 - 2021/8
N2 - 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.
AB - 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.
KW - Arrhenius equation
KW - Drosophila melanogaster
KW - Xenopus laevis
KW - embryonic development
KW - temperature dependence
UR - http://www.scopus.com/inward/record.url?scp=85113769163&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85113769163&partnerID=8YFLogxK
U2 - 10.15252/msb.20209895
DO - 10.15252/msb.20209895
M3 - Article
C2 - 34414660
AN - SCOPUS:85113769163
SN - 1744-4292
VL - 17
JO - Molecular Systems Biology
JF - Molecular Systems Biology
IS - 8
M1 - e9895
ER -