Study of LN-145, Autologous Tumor Infiltrating Lymphocytes in the Treatment of Patients With Cervical Carcinoma

Inclusion Criteria: To be eligible for the study, patients must meet ALL of the following criteria prior to participation: 1. Must be ≥ 18 years of age at the time of consent. Enrollment of patients \> 70 years of age may be allowed after consultation with the Medical Monitor. 2. Must have recurrent, metastatic, or persistent squamous cell carcinoma (SCC), adenosquamous carcinoma (ASC), or adenocarcinoma (AC) of the cervix that is not amenable to curative treatment with surgery and/or radiation therapy. 3. At least one resectable lesion (or aggregate of lesions resected) of a minimum 1.5 cm in diameter post-resection to generate TIL; surgical removal with minimal morbidity (defined as any procedure for which expected hospitalization is ≤ 3 days) 4. At least one measurable target lesion, as defined by RECIST v1.1. 5. Cohort 1 and Cohort 2: Progression during or following at least one, but no more than three, prior systemic chemotherapeutic treatments for recurrent, metastatic, or persistent cervical carcinoma * A line of systemic therapy is defined as any chemotherapy or multiple-agent chemotherapy regimen that was administered for recurrent, metastatic, or persistent SCC, ASC, or AC of the cervix. * A bevacizumab and chemotherapy combination is encouraged as a prior line of treatment. * Neither chemoradiation, nor chemotherapy in the neoadjuvant or adjuvant settings are considered as a prior line of systemic therapy. Cohort 2: Must also have previously received treatment with a checkpoint inhibitor (ie, PD-1, PD-L1\]) in the setting of recurrent, metastatic, or persistent disease either as monotherapy or in combination (eg, in combination with chemotherapy or another immune agent) Cohort 3 (United States only): Must have not received any therapies other than prior chemoradiation or surgery for loco-regional disease 6. Any prior therapy directed at the malignant tumor, including chemotherapy, biologic/targeted agents, and immunologic agents must be discontinued at least 28 days prior to tumor resection. 7. Have an Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 8. Must have adequate organ function. 9. Patient has no evidence of any active viral, bacterial, or fungal infection requiring ongoing systemic treatment. Patients must be seronegative for the human immunodeficiency virus (HIV). Patients with acute or chronic hepatitis infections may be enrolled if the viral load by nucleic acid amplification test (NAAT) is undetectable with/without active treatment 10. Patients of childbearing potential must be willing to take the appropriate precaution to avoid pregnancy for the duration of the study and practice an approved, highly effective method of birth control during treatment and for 12 months after receiving the last protocol-related therapy. 11. Prior to study Enrollment (tumor resection), patient must have documentation of radiological disease progression after the most recent therapy Exclusion Criteria: Patients who meet any of the following criteria are not eligible for participation in this study: 1. Patients who have received an organ allograft or prior cell transfer therapy except for prior LN-145 therapy in the setting of re-treatment only. 2. Patients who require ongoing systemic steroid therapy (\> 10 mg/day of prednisone or other steroid equivalent dose). 3. Patients who currently have prior therapy-related toxicities Grade \> 1 according to National Cancer Institute (NCI) Common Terminology Criteria for Adverse Events (CTCAE) v5.0; except for peripheral neuropathy, alopecia, or vitiligo prior to Enrollment (tumor resection). 4. . Patients who have a history of hypersensitivity to any component or excipient of LN-145 or other study drugs: • NMA-LD preparative regimen (cyclophosphamide, mesna, and fludarabine) 5. Patients who have active systemic infections, coagulation disorders, or other active major medical illness(es) of the cardiovascular, respiratory, or immune system, including evidence in the medical history of urinary tract obstruction, a positive cardiac stress test, myocardial infarction, cardiac arrhythmia, obstructive or restrictive pulmonary disease, or other conditions that in the opinion of the Investigator would increase the risk of participation. 6. Patients with symptomatic and/or untreated brain metastases (of any size and any number) • Patients with definitively treated brain metastases may be considered for Enrollment, and must be stable for ≥ 14 days prior to beginning the NMA-LD preparative regimen 7. Patients who have any form of primary immunodeficiency (such as severe combined immunodeficiency \[SCID\] or acquired immunodeficiency syndrome \[AIDS\]) 8. Patients who have a diagnosis of end-stage renal disorder requiring hemodialysis 9. Patients who have a left ventricular ejection fraction (LVEF) \< 45% or who are New York Heart Association (NYHA) Class 2 or higher. 10. Patients who have a documented forced expiratory volume in 1 second (FEV1) of ≤ 60% 11. Patients who have had another primary malignancy within the previous 3 years (except for curatively treated localized malignancy that has not required treatment for \> 1 year, and in the judgement of the Investigator, does not pose a significant risk of recurrence including, but not limited to, non-melanoma skin cancer or bladder cancer) 12. Patients who are of the following protected classes will be excluded, including: * Pregnant, parturient, or breastfeeding women * Persons who are hospitalized without consent or those deprived of liberty because of a judiciary or administrative decision * Patients with a legal protection measure or a person who cannot express his/her consent * Patients in emergency situations who cannot consent to the study 13. Patients who have received a live or attenuated vaccine within 28 days prior to beginning the NMA-LD preparative regimen 14. Patients whose cancer requires immediate attention or who would otherwise suffer a disadvantage by participating in this study 15. Cohort 1 and Cohort 3: Patients who have received prior treatment with immunotherapy (eg, PD-1, PD-L1, or anti-cytotoxic T lymphocyte-associated antigen-4 \[CTLA-4\] antibodies) 16. Patients who have Grade ≥ 2 hemorrhage within 14 days prior to Enrollment (tumor resection) 17. Cohort 3: Patients may not have active or prior documented autoimmune or inflammatory disorders (including pneumonitis, inflammatory bowel disease \[eg, colitis or Crohn's disease\], diverticulitis \[with the exception of diverticulosis\], systemic lupus erythematosus, sarcoidosis syndrome, or Wegener syndrome \[granulomatosis with polyangiitis, Graves' disease, rheumatoid arthritis, hypophysitis, uveitis, etc.\]).