Document Type


Date of Award


Degree Name

Master of Science in Applied Mathematics - (M.S.)


Mathematical Sciences

First Advisor

Amitabha Koshal Bose

Second Advisor

Casey Diekman

Third Advisor

Horacio G. Rotstein


Bright Light Therapy has been shown to be efficacious to mood disorders including Major Depression. Researchers use the Jewett-Forger-Kronauer model of the circadian rhythm with the Unified Model of melatonin including a mathematical term implementing feedback from the melatonin system into the circadian system to quantify the effects of bright light. Early investigations into intrinsic period, light sensitivity, and the circadian pacemaker's sensitivity to blood melatonin concentration may be indicators of subsets of patients with long intrinsic periods exhibiting symptoms of depression.



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