Cytostatic Agent on the Face and Eyebrow Hair Loss?

Hello doctor,

can a cytostatic agent applied to the face in order to relieve effects of seborrheic dermatitis cause damage to eyebrow hairs? As far as I know, it slows down cell multiplication rate of the skin so I am wondering if it affects eyebrows and how?

Thank you

I think this question is better asked to a dermatologist. I have no experience with cytostatic agents as they are used for the treatment of seborrheic dermatitis.