Phase I Low Dose WART in Combination With Weekly Paclitaxel for Platinum Resistant Ovarian Cancer

Inclusion Criteria: * Is capable of understanding the written informed consent, provides signed and witnessed written informed consent, and agrees to comply with protocol requirements. * Age ≥ 21 years. * Histologically confirmed and documented epithelial ovarian carcinomas, primary peritoneal carcinomas, or fallopian tube carcinomas. * Patients must have platinum-resistant disease, (defined as progression within \<6 months from completion of a minimum of 4 platinum therapy cycles. The date should be calculated from the last administered dose of platinum therapy). * Patients must have evidence of measurable intra abdominal disease at point of screening. * Patients must have disease that is measurable according to RECIST version 1.1 and assessable according to the GCIG CA-125 criteria and require treatment with chemotherapy within 14 days of screening. Target lesions should not be selected in previously irradiated fields unless there is clear evidence of progression * Performance status of Eastern Cooperative Oncology Group (ECOG) Performance Status 0 to 2. * Life expectancy of ≥12 weeks with standard treatment. * Has adequate organ function at Baseline, including the following (noting that repeated tests at baseline should not be performed unless there are sufficient reasons to assume the patient would meet the inclusion criteria with re-testing): 1. Absolute neutrophil count ≥1.0 × 109/L 2. Platelet count ≥100 × 109/L (without transfusions within 21 days prior to Day 1 of Cycle 1) 3. Hemoglobin ≥9 g/dL 4. Prothrombin time and partial thromboplastin time within ≤1.5 × upper limit of normal (ULN) 5. International normalized ratio ≤1.5 × ULN 6. Total bilirubin ≤1.5 × ULN 7. Transaminases (aspartate aminotransferase and/or alanine aminotransferase ≤2.5 × ULN (\<5 × ULN if liver metastases) * Has a negative serum pregnancy test 14 days prior to starting study drug plus a negative urine pregnancy test on Day 1, Cycle 1 prior to treatment (applies to females of childbearing potential only). Exclusion Criteria: 1. General Criteria * Is a female patient of childbearing potential, defined as a female physiologically capable of becoming pregnant (including a female whose career, lifestyle, or sexual orientation precludes intercourse with a male partner, and females whose partners have been sterilized by vasectomy or other means), unless they are using a highly effective method for birth control throughout the study and for 12 weeks after the end of treatment. Highly effective methods for birth control include the following: 1. Total abstinence: This is an acceptable method when this is consistent with the preferred and usual lifestyle of the patient. Periodic abstinence (e.g. calendar, ovulation, symptothermal, post-ovulation methods) and withdrawal are not acceptable methods of contraception. 2. Female sterilization: The patient has had a surgical bilateral oophorectomy (with or without hysterectomy) or tubal ligation at least 6 weeks prior to taking study drug. In case of an oophorectomy alone, the reproductive status of the patient must have been confirmed by follow-up hormone level assessment. 3. Male partner sterilization: The patient has the appropriate post-vasectomy documentation of the absence of sperm in the ejaculate. (For female patients on the study, the vasectomized male partner should be the sole partner for that patient.) These patients must also agree to the following: Use of a combination of the following (1+2): 1. Placement of an intrauterine device or intrauterine system 2. Barrier methods of contraception: condom or occlusive cap (diaphragm or cervical/vault caps) with spermicidal foam, gel, film, or cream, or vaginal suppository Reliable contraception maintained throughout the study and for 12 weeks after study drug discontinuation 4. Females considered post-menopausal and not of childbearing potential: The definition applies to females who have had 12 months of natural (spontaneous) amenorrhea with an appropriate clinical profile (e.g. age appropriate, history of vasomotor symptoms) or 6 months of spontaneous amenorrhea with serum follicle-stimulating hormone levels \>40 mIU/mL (for US only: and estradiol \<20 pg/mL) or have had surgical bilateral oophorectomy (with or without hysterectomy) at least 6 weeks prior to starting treatment. In the case of oophorectomy alone, only when the reproductive status of the patient has been confirmed by follow-up hormone level assessment is she considered not of childbearing potential. * Is a pregnant or nursing (lactating) female, where pregnancy is defined as the state of a female after conception and until the termination of gestation, confirmed by a positive human chorionic gonadotropin laboratory test (\>5 mIU/mL). Serum pregnancy test to be assessed within 7 days prior to study treatment start, or within 14 days (with a confirmatory urine pregnancy test within 7 days prior to study treatment start). * Is unwilling to or unable to comply with the protocol. 2. Cancer-related * Non-epithelial ovarian cancers (Germ cell and stromal ovarian neoplasms) * Ovarian tumors with low malignant potential (i.e. borderline tumors). * History of other clinically active malignancy within 5 years of enrollment, except for tumors with a negligible risk for metastasis or death, such as adequately controlled basal-cell carcinoma or squamous-cell carcinoma of the skin or carcinoma in situ of the cervix or breast. * Has central nervous system metastasis, unless previously treated with surgery, whole-brain radiation or stereotactic radiosurgery, and stable disease for at least 8 weeks without steroid use for at least 4 weeks prior to the first dose of weekly paclitaxel. * Symptomatic intestinal obstruction requiring surgical intervention or bowel rest. 3. Prior, current or planned treatment: * Previous treatment with 3 or more anticancer regimens. * Has used other investigational drugs within 4 weeks or five half-lives (whichever is longer) prior to the first dose of study treatment. * Has received prior radiation therapy within 4 weeks, or limited field radiation within 2 weeks, prior to starting study drug, or the side effects of such therapy have not resolved to ≤Grade 1. * Has had a major surgical procedure within 4 weeks from starting the study drug. Patient has not fully recovered from all surgery-related complications to ≤Grade 1 4. Prior or concomitant conditions or procedures: * History or evidence upon physical / neurological examination of CNS disease unrelated to cancer, unless adequately treated with standard medical therapy (e.g. uncontrolled seizures). * Pre-existing peripheral neuropathy ≥ CTC grade. * Serious active infection requiring intravenous antibiotics and/or hospitalization at study entry. * Known grade 3 or ≥ hypersensitivity to any of the study drugs or excipients. * Evidence of any other medical conditions (such as psychiatric illness, etc.), physical examination or laboratory findings that may interfere with the planned treatment, affect patient compliance or place the patient at high risk from treatment-related complications. * Has a history of interstitial lung disease, sarcoidosis, silicosis, idiopathic pulmonary fibrosis, or pulmonary hypersensitivity pneumonitis. * Has severe or unstable medical conditions such as heart failure, ischemic heart disease, uncontrolled hypertension, uncontrolled diabetes mellitus, psychiatric condition, an ongoing cardiac arrhythmia requiring medication (≥Grade 2, according to National Cancer Institute \[NCI\] Common Terminology Criteria for Adverse Events \[CTCAE\] Version 4.03), or any other significant or unstable concurrent medical illness that in the opinion of the investigator would preclude protocol therapy. * Has a known history of human immunodeficiency virus seropositivity or other active bacterial, viral, or fungal infections. Hep B or C positive patients on anti-viral treatment are eligible for the study