@article{185431, keywords = {Embryonic Development, Xenopus laevis, Drosophila melanogaster, Arrhenius equation, temperature dependence}, author = {Joseph Crapse and Nishant Pappireddi and Meera Gupta and Stanislav Y. Shvartsman and Eric Wieschaus and Martin W{\"u}hr}, title = {Evaluating the Arrhenius equation for developmental processes}, abstract = { 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. }, year = {2021}, journal = {Molecular Systems Biology}, volume = {17}, pages = {e9895}, url = {https://www.embopress.org/doi/abs/10.15252/msb.20209895}, doi = {10.15252/msb.20209895}, language = {eng}, }