Systems and methods stabilize corneal tissue after treatment of the corneal tissue. For example, thermokeratoplasty may be applied to the corneal tissue to address disorders associated with abnormal shaping of the cornea. To stabilize the desired structural changes caused by the treatment, embodiments apply ophthalmic formulations that help to inhibit wound healing. Wound healing may occur in response to the application of the treatment and may produce further structural changes that mitigate or alter the desired effects of the treatment.