Final answer:
The inability to activate proteins needed to enter S phase would explain the results with the mutant yeast strain that stops proliferating when shifted from 25°C to 37°C.
Step-by-step explanation:
The mutant yeast strain that stops proliferating when shifted from 25°C to 37°C can be explained by the inability to activate proteins needed to enter S phase. In normal cell cycle progression, the G1 phase is followed by the S phase, during which DNA replication occurs. If the mutant yeast strain is unable to activate the proteins necessary for entering the S phase, DNA replication cannot take place, leading to the halt in cell proliferation. This would explain the observed results obtained from analyzing the cells at both temperatures.