I stumbled onto a 2005 study that found people with MS actually sweat less than those without the disease. Interestingly, another study found that "avoiding physical activity can decrease the reliance on sweating as a heat dissipation mechanism, leading to further reductions in sweat gland function." A short summary of the researchers' conclusions is below, the full journal article can be read here: http://jap.physiology.org/cgi/reprint/98/5/1740.pdf
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Individuals with MS have diminished sweat gland function compared with healthy control subjects. Improvements in heat dissipation mechanisms such as sweating could be beneficial to individuals with MS by maintaining a safe core temperature and decreasing heat related signs and symptoms. Moreover, 15 wk of aerobic exercise training did not evoke any changes in sweat gland function in individuals with MS. If sweat function cannot be improved through exercise training, strategies to avoid excessive heat exposure, such as cooling or precooling, must be emphasized to individuals with MS.
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Individuals with MS have diminished sweat gland function compared with healthy control subjects. Improvements in heat dissipation mechanisms such as sweating could be beneficial to individuals with MS by maintaining a safe core temperature and decreasing heat related signs and symptoms. Moreover, 15 wk of aerobic exercise training did not evoke any changes in sweat gland function in individuals with MS. If sweat function cannot be improved through exercise training, strategies to avoid excessive heat exposure, such as cooling or precooling, must be emphasized to individuals with MS.