Study of INKmune in Patients With mCRPC (CaRe Prostate)

Inclusion Criteria: 1. Male subjects over 18 years of age at time of screening. 2. Blood Prostate Specific Antigen (PSA) of \>1.0 ng/ml at time of screening. 3. Eastern Cooperative Oncology Group (ECOG) Performance Status 0-1 at time of screening. 4. Histologic confirmation of adenocarcinoma prostate cancer. 5. A diagnosis of progressive metastatic castrate resistant prostate cancer (mCRPC), as defined by Prostate Cancer Clinical Trials Working Group 3 (PCWG3), following androgen deprivation therapy (ADT) and at least one androgen receptor signaling inhibitor, but not more than 3 therapies in addition to ADT. Progressive disease at the time of study entry as indicated by at least one of the following: * i. At least two rising PSA values at a minimum of a one-week interval. If PSA is the only measure of progression, then the minimum PSA value at the start of treatment must be ≥ 1 ng/mL. * ii. Radiographic progression per RECIST1.1 for soft tissue (at least 1 measurable lesion per RECIST 1.1), and/or * iii. Progression of bone metastases. 6. Castrate level of testosterone of \< 50 ng/dL. 7. Adequate organ function indicated by the following laboratory parameters: * i. Hemoglobin ≥ 8.0 g/dL. * ii. White Blood Cell Count (WBC) ≥ 3.0 x 10⁹/L. * iii. Lymphocytes ≥ 80% LLN * iv. Absolute Neutrophil Count (ANC) ≥ 1.5 x 10⁹/L. * v. Platelets ≥ 100 x 10⁹/L. * vi. PT and APTT \< 1.5x ULN (unless receiving therapeutic anticoagulation). * vii. AST or ALT ≤ 2.5x ULN. AST or ALT ≤ 5x ULN for patients with liver metastases. * viii. Bilirubin \< 1.5x ULN (\< 3x ULN in Gilbert's Syndrome). * ix. Creatinine clearance/estimated GFR ≥ 30 mL/min (MDRD or Cockcroft-Gault). * x. Resting room air PaO2 saturation of \>95% as measured by pulse oximetry. 8. Negative screen for Human Immunodeficiency virus (HIV), Hepatitis B virus (HBV) antigen, and Hepatitis C virus (HCV). If testing was done within the past three months, there is no need to repeat testing if documentation of results is provided to the study site. 9. Subjects and their partners of reproductive potential must agree to use an effective form of contraception during the period of drug administration and for three months following the completion of the last administration of the study drug. An effective form of contraception is defined as oral contraceptives plus one form of barrier method or double barrier methods (condom with spermicide or condom with diaphragm). 10. Subjects must be able to understand the potential risks and benefits of the study and be able to read and give written informed consent. Exclusion Criteria: The participant may not enter the study if ANY of the following apply: 1. Diagnosis of small cell/neuroendocrine prostate cancer. Immunohistochemical staining for neuroendocrine markers (e.g., chromogranin A, neuron-specific enolase, and synaptophysin) is not sufficient to establish a small cell/neuroendocrine histology; morphologic features that are characteristic of small cell/neuroendocrine prostate cancer are required to confirm the presence of small cell/neuroendocrine prostate cancer. 2. History of concurrent malignant cancer within previous 3 years, with the exception of in situ carcinomas and non-melanoma skin cancer. If diagnosis or treatment for other cancers have occurred in the last 3 years, further discussion needed. 3. Uncontrolled autoimmune disease including, but not limited to, systemic lupus erythematosus, rheumatoid arthritis, ulcerative colitis, Crohn's disease, temporal arteritis, and thyroiditis. Autoimmune conditions that are well-controlled in the opinion of the investigator must first be discussed with the Sponsor prior to enrollment. 4. A requirement for daily systemic corticosteroids for any reason; or other immunosuppressive or immunomodulatory agents. Topical, nasal, modified-release oral, and/or physiologic corticosteroids may be permitted following discussion with the Sponsor. 5. Clinically significant cardiac disease (New York Heart Association Class III/IV) or severe debilitating pulmonary disease. 6. Patients with a current or recent history, as determined by the Investigator, of clinically significant, progressive, and/or uncontrolled renal, hepatic, hematological, endocrine, pulmonary, cardiac, gastroenterological, or neurological disease. 7. Cytotoxic chemotherapy within three weeks prior to start of study treatment (Day 1). 8. Radiation therapy within two weeks prior to start of study treatment (Day 1). 9. Patients may not have received a previous NK based therapy. 10. Evidence of central nervous system (CNS) metastatic disease at screening. 11. Patients with an active infection requiring antibiotic treatment within seven days of starting study treatment (Day 1). 12. Administration of live attenuated vaccines within eight weeks of start of study treatment (Day 1) and throughout the study. 13. Any other medical condition that in the opinion of the Investigator may interfere with a subject's participation in, or compliance with, the study 14. Participation in a therapeutic research study or receipt of an investigational drug within 4 weeks of start of treatment (Day 1) or 5 half-lives, whichever occurs first. 15. Expected survival of less than six months 16. At the time of consent, unable to comply with study procedures and assessments.