scrudge

To force yourself to stay awake, without any alertness aid, in order to perform required duties/responsibilities, even though you had minimal (if any) sleep the night before.

He insisted he would scrudge through his work day without any caffeine even though he only had 3 hours of sleep the night before. He was looking forward to his evening nap before another long night, minimal sleep, and another scrudging day tomorrow.

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