Given the task definition and input, reply with output. In this task, you are given a passage which has a question and the context. You have to generate an answer to the question based on the information present in the context.

Context: Human studies on exercise, cognition, and apolipoprotein E (APOE) genotype show that epsilon4 carriers may benefit from regular physical activity.', 'We examined voluntary wheel-running, memory, and hippocampal plasticity in APOE epsilon3 and APOE epsilon4 transgenic mice at 10-12 months of age.', 'Sedentary epsilon4 mice exhibited deficits in cognition on the radial-arm water maze (RAWM), a task dependent on the hippocampus. Six weeks of wheel-running in epsilon4 mice resulted in improvements on the RAWM to the level of epsilon3 mice. Hippocampal brain-derived neurotrophic factor (BDNF) levels were similar in epsilon3 and epsilon4 mice, and after exercise BDNF was similarly increased in both epsilon3 and epsilon4 mice. In sedentary epsilon4 mice, tyrosine kinase B (Trk B) receptors were reduced by 50%. Exercise restored Trk B in epsilon4 mice to the level of epsilon3 mice, and in epsilon4 mice, exercise dramatically increased synaptophysin, a marker of synaptic function.\Question: Does exercise improve cognition and hippocampal plasticity in APOE epsilon4 mice?
Our results support the hypothesis that exercise can improve cognitive function, particularly in epsilon4 carriers.