This is a really intriguing question and it took me a bit of a search to find anything on this but I finally did!
In the Oxford Journals there is an article entitled, Childhood Infections and the Risk of Multiple Sclerosis, where the authors state:
"Neither age at infection with measles, rubella, varicella, mumps, pertussis and scarlet fever (upper age limit, 14 years) nor the cumulative number of these infections between the ages of 10 and 14 years was associated with the risk of multiple sclerosis. In addition, the risk of multiple sclerosis was not associated with birth order or social class. No clustering of multiple sclerosis in school classes was observed. Our findings suggest that measles, rubella, mumps, varicella, pertussis and scarlet fever, even if acquired late in childhood, are not associated with increased risk of multiple sclerosis later in life."
I hope this helps some! Thank you for your question.
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