Appeals from the determination of the ability of a patient or relative to pay, as provided in this article, may be taken to any court of record in Colorado having jurisdiction of the patient or his or her spouse or parents liable for payment; but no appeal may be taken until the executive director of the department of human services has ruled upon a written request for a review of the determination. The request shall be made within sixty days after receipt of notification of the determination, and the applicant shall be notified of the decision of the executive director within forty-five days after the receipt of the applicant's request for review.