A cure for bipolar, depression, schizophrenia or other mental illness would be a state of recovery where no more symptoms were present and you were returned to health permanently. This is the one that is contentious in mental illness.
Typical king-size beds measure 78 inches wide, while queen mattresses are 60 inches, full beds are 54 inches and twin beds are 39 inches wide. Visit a lumber or home improvement store and request the wood to be cut the exact length to save you some time and trouble.
Twin sized mattresses are typically 38 to 39 inches in width. For headboard design, it's typical to add at least 6 inches to the width, making it 44 or 45 inches; the extra 3 inches on each side gives the mattress a bit of wiggle room to move. Headboard height is subjective, but typical height is about 24 inches above the top of the mattress. If your mattress is of typical height, the overall height of the headboard from the floor to the top should be at least 36 inches. Add another 6 to 12 inches to the height if desired for aesthetics.