Phase I/II/III Gene Transfer Clinical Trial of scAAV9.U1a.hSGSH

Inclusion Criteria: * Diagnosis of MPS IIIA confirmed by the following methods: * No detectable or significantly reduced SGSH enzyme activity by leukocyte assay, and * Genomic DNA analysis demonstrating homozygous or compound heterozygous mutations in the SGSH gene (based upon review of documented results from a qualified laboratory, and with confirmation with Medical Monitor) * Age: * For Cohort 1-3: From birth (participating sites in USA and Australia) OR 6 months (participating sites in Spain) to 2 years of age with no BSITD-III Cognitive Development Quotient (DQ) requirement, or older than 2 years with a BSITD-III Cognitive DQ of 60 or above (participating sites globally). * For Cohort 4 (participating sites in Spain): 3 months to ≤ 2 years of age with no BSITD-III Cognitive DQ requirement or \> 2 years of age with a BSITD-III Cognitive DQ ≥ 60 (n = up to 6). Up to 2 additional subjects \> 2 years and ≤ 5 years of age with a BSITD-III Cognitive DQ \< 60 may also be enrolled. •Subjects must be ≥ 6 months of age before UX111 administration. However, subjects may be consented and initiate relevant Screening Procedures and IM treatment \< 6 months of age. Refer to Section 8.2 for relevant screening procedures •For children ≤ 24 months chronological age who were born prematurely, defined as born at \< 36 weeks gestational age, the corrected gestational age must be used for determining inclusion •The BSITD-III Cognitive DQ is assessed during the onsite Screening visit, for subjects who require it •The age of the child on the date of the Screening BSITD-III assessment is used to determine the requirement for the BSITD-III Cognitive DQ score. * Cohort 4 only: Vaccination status based on age according to country-specific guidelines that is up to date 30 days prior to Enrollment as verified by documentation from the subject's primary care physician, and willing to defer vaccines through 6 months after completion of the subject's IM medication, or longer per Principal Investigator (PI) judgment. Emergency use authorization or conditional marketing authorization of coronavirus disease (COVID) vaccines is included unless there is an accepted medical exemption. Exclusion Criteria: * Inability to participate in the clinical evaluation as determined by PI * Cohorts 1 to 3 only: Identification of two nonsense or null variants on genetic testing of the SGSH gene (based upon review of documented results from a qualified laboratory, and with confirmation with Medical Monitor) * At least one S298P mutation in the SGSH gene (based upon review of documented results from a qualified laboratory, and with confirmation with Medical Monitor) * Has evidence of an attenuated phenotype of MPS IIIA, in the judgement of the PI * Presence of a concomitant medical condition that precludes lumbar puncture or use of anesthetics * Active viral infection based on clinical observations * Concomitant illness or requirement for chronic drug treatment that in the opinion of the PI creates unnecessary risks for gene transfer or precludes the child from participating in the protocol assessments and follow up * Cohorts 1 to 3 only: Subjects with total anti-AAV9 antibody titers ≥ 1:100 equivalent to a positive screen as determined by ELISA binding assay in serum * Cohorts 1-3 only: Subjects with a positive response for the enzyme-linked immunosorbent spot assay (ELISpot) for T-cell responses to AAV9 * Cohorts 1-3 only: Serology consistent with exposure to human immunodeficiency virus (HIV), or serology consistent with active hepatitis B or C infection, Cohort 4: Current clinically significant infections (including any requiring systemic treatment including, but not limited to, HIV; hepatitis A, B, or C; varicella zosters virus; human T-cell lymphotropic virus type 1 \[HTLV-1\]; tuberculosis; or COVID-19) that would interfere with participation in the study. * Bleeding disorder or any other medical condition or circumstance in which a lumbar puncture (for collection of CSF) is contraindicated according to local institutional policy * Visual, hearing, or other impairment sufficient to preclude cooperation with neurodevelopmental testing * Uncontrolled seizure disorder * Any item (braces, etc.) or circumstance that would exclude the subject from being able to undergo MRI according to local institutional policy * Any other situation that precludes the subject from undergoing procedures required in this study * Subjects with cardiomyopathy or significant congenital heart abnormalities * The presence of significant non-MPS IlIA related CNS impairment or behavioral disturbances that would confound the scientific rigor or interpretation of results of the study * Cohorts 1-3: Abnormal laboratory values Grade 2 or higher as defined in common terminology criteria for adverse events (CTCAE) v4.03 for gamma-glutamyl transferase (GGT), total bilirubin, creatinine, hemoglobin, white blood cell (WBC) count, platelet count, prothrombin time (PT) and activated partial thromboplastin time (aPTT), Cohort 4: Any of the following abnormal laboratory values from screening assessment: * Aspartate aminotransferase (AST), alanine aminotransferase (ALT), GGT, and/or alkaline phosphatase ≥ 2 × upper limit of normal (ULN) and/or total bilirubin \> 1.5 × ULN * Anemia (hemoglobin \< 10 g/dL) * Leukopenia or leukocytosis (total WBC count \< 3,000/mm3 and \> 15,000/mm3 respectively) * Abnormal absolute neutrophil count (ANC) of \< 1000/mm3 * Platelet count \< 100,000/mm3 * Coagulopathy (international normalized ratio \[INR\] \> 1.5) or aPTT \> 40 seconds * Renal impairment, defined as estimated glomerular filtration rate (eGFR) below the lower limit of normal (age and sex appropriate) based on Bedside Schwartz equation * Female of childbearing potential who is pregnant or demonstrates a positive urine or bhCG result at screening assessment (if applicable) * Cohorts 1-3: Any vaccination with viral attenuated vaccines less than 30 days