"draw closely" is a correct and usable phrase in written English.
You can use it to describe when someone should approach something with great attention and care. For example, "He drew closely to read the instructions on the manual."
(Sea level is zero). Lines drawn closely together indicate that a slope is steep.
Hearst was livid over the movie's depiction of a cutthroat newspaper baron drawn closely to his own likeness.
Jonathan Kingdon, a zoölogist and illustrator, was drawing closely related species of monkeys when he noticed subtle differences in their face markings.
He had drawn closely on aspects of his own life: an alcoholic brother, an actor father and above all a mother sinking back into morphine addiction.
The painting follows this drawing closely, but folds Southwell's hands in an elegant manner derived from Raphael and Leonardo, and mutes what is, in the drawing, the cow-like stupidity of expression.
In "Velvet Brown," a work in progress, she draws closely on the personal histories of her performers (who include the equally magnetic Ms. Lieber) to investigate feelings of inhibition and shame.
Jong has always drawn closely on her own life in her novels: too closely, sometimes (in 2008, her sister stood up at an academic conference and announced that Fear of Flying had been a thorn in her flesh for 35 years).
(Indeed, when William Lloyd Garrison began his Liberator in 1831, urging the immediate and unconditional emancipation of all slaves, he had only a tiny following; and a few years later he had actually been mobbed in Boston). But with the sections, perforce, being drawn closely together, Northerners could no longer profess indifference to the South and its institutions.
It is clear that Toíbín has drawn closely on his own mother's story for Nora Webster: presumably he made his young self into Donal, Nora's third child, the moody incommunicative boy who stammers and sees the world through his camera.
