The previous study indicated that ubiquitination is involved in the freezing tolerance of hydrated seeds. Parthenolide (PN), inducing the ubiquitination of MDM2, an E3 ring-finger ubiquitin ligase, adversely affects the freezing tolerance of hydrated lettuce seeds. Therefore, a proteomics analysis was conducted to identify PN's targets in hydrated seeds exposed to cooling conditions. Several pathways, including oxidative phosphorylation (KEGG00190), amino sugar and nucleotide sugar metabolism (KEGG00520), and biosynthesis of nucleotide sugars (KEGG01250), were enriched in the PN treatment under slow-cooling conditions (3°C h−1, P < 0.05). Among the proteins in oxidative phosphorylation, the expression of NADH dehydrogenases and ATP synthases (ATPsyn) decreased in PN treatment. In contrast, uncoupling proteins increased after PN treatment, which led to the dissociation of the electron transport chain from ATP synthesis. Treatments with rotenone, dicoumarol, and oligomycin (i.e., oxidative phosphorylation inhibitors) decreased the survival rate of hydrated seeds under freezing conditions, which indicated that energy metabolism was related to the freezing tolerance of hydrated seeds. The predicted interactions between PN and MDM2-like proteins of Lactuca indicated that LsMDM2-5 forms two potential hydrogen bonds with PN. Furthermore, based on AlphaFold predictions and yeast 2-hybrid results, MDM2-5 might interact directly with NADH2. The knockdown of MDM2-5 by RNAi caused a higher level of NADH2 and ATPsyn and a higher freezing tolerance of hydrated seeds. This indicated that MDM2 played negative roles in regulating ATP synthesis and freezing tolerance of hydrated seeds.

In mammalian cells, the p53 pathway regulates the response to a variety of stresses, including oncogene activation, heat and cold shock, and DNA damage. Here we explore a mathematical model of this pathway, composed of a system of partial differential equations. In our model, the p53 pathway is activated by a DNA-compromising event of short duration. As is typical for mathematical models of the p53 pathway, our model contains a negative feedback loop representing interactions between the p53 and Mdm2 proteins. A novel feature of our model is that we combine a spatio-temporal approach with the appearance and repair of DNA damage. We investigate the behaviour of our model through numerical simulations. By ignoring the possibility of DNA repair, we first explore the scenario in which the cell has a very inefficient DNA repair mechanism. We find that spatio-temporal oscillations in p53 and Mdm2 may occur, consistent with experimental data. We then allow p53 to be directly involved in repairing DNA damage, since experimental evidence suggests this can happen. We find that oscillations in p53 and Mdm2 can still occur, but their amplitude damps down quickly as the DNA damage is repaired. Finally, we find that a minor change to the location of the DNA damage can notably change the spatial distribution of p53 within the nucleus. We discuss the biological implications of our results.