A Study to Investigate the Pharmacokinetics and Safety of Dupilumab in Participants ≥6 Months to <18 Years of Age With Prurigo Nodularis

Inclusion Criteria: * Participants must be ≥6 months to \<18 years of age, at the time of signing the informed consent. * A clinical diagnosis of prurigo nodularis (PN) at least 3 months prior to screening, an Investigator's global assessment for prurigo nodularis stage (IGA PN-S) score of ≥2 with presence of ≥6 pruriginous lesions at Baseline. The lesions should be present on ≥2 different body surface areas at Baseline. * On the worst itch numerical rating scale (WI-NRS) (for participants aged ≥6 years to \<18 years old at the screening visit) or worst-scratch/itch NRS (for participants aged ≥6 months to \<6 years at the screening visit) ranging from 0 to 10, participants must have an average worst itch score of ≥7 in the 7 days prior to Day 1. NOTE: Baseline pruritus NRS average score for maximum itch intensity will be determined based on the average of daily NRS scores for maximum intensity (the daily score ranges from 0 to 10) during the 7 days immediately preceding the Day 1/Baseline visit. A minimum of 4 daily scores out of the 7 days is required to calculate the baseline average score. * Participants/Caregivers must be willing and able to complete a daily symptom e-Diary for the duration of the study. * Contraceptive use by male and female participants should be consistent with local regulations regarding the methods of contraception for those participating in clinical studies. Exclusion Criteria: Participants are excluded from the study if any of the following criteria apply: * Presence of active moderate to severe lesions of atopic dermatitis (AD), and/or other skin conditions that may interfere with the PN diagnosis including but not limited to the following: scabies, psoriasis, lymphomatoid papulosis, habitual picking, dermatitis herpetiformis, sporotrichosis, and bullous disease. * Active chronic or acute infection requiring treatment with systemic antibiotics, antivirals, or antifungals within 2 weeks before the screening visit or during the screening period. NOTE: Participants may be rescreened after infection resolves. * Known or suspected immunodeficiency, including history of invasive opportunistic infections (eg, histoplasmosis, listeriosis, coccidioidomycosis, pneumocystosis, and aspergillosis) despite infection resolution, or otherwise recurrent infections of abnormal frequency or prolonged duration suggesting an immune compromised status, as judged by the Investigator. * Severe concomitant illness(es) that, in the Investigator's judgment, would adversely affect the participant's participation in the study. * Planned or anticipated major surgical procedure during the participant's participation in this clinical trial. * Participants who has taken biologic therapy/systemic immunosuppressant/ immunomodulator within 4 weeks before the screening visit or 5 half-lives, whichever is longer. * Current participation to any clinical trial of an investigational drug or device or participation within 3 months before the screening visit or 5 half-lives of the investigational compound, whichever is longer. * Participation in prior dupilumab clinical study or have been treated with commercially available dupilumab.