Inclusion Criteria:  Demonstration of understanding and voluntarily signing of an informed consent form Age ≥ 18 years Part A - Relapsed or refractory AML, according to the World Health Organization (WHO) classification (Arber, Orazi, et al., 2016). Subjects must be ineligible for or have exhausted standard therapeutic options that would otherwise be likely to provide clinical benefit. Part B - B cell NHL that is refractory to or intolerant of all standard therapy or for which no standard therapy is available or histologically or cytologically documented, incurable or metastatic solid tumor that has failed all available standard therapies with known benefit. Subjects with solid tumors must have measurable disease per Response Evaluation Criteria in Solid Tumors Version 1.1 (RECIST v1.1). NHL subjects must have bi-dimensionally measurable disease on cross sectional imaging by computed tomography (CT) or magnetic resonance imaging (MRI) as defined by Lugano criteria (Cheson, Fisher, et al., 2014). Adequate organ function Females must avoid pregnancy for at least 4 weeks before beginning BTX-1188 therapy, during therapy, during dose interruptions, and for at least 4 weeks after completing therapy and agree to either abstain from sexual intercourse or use two highly effective methods of contraception (for up to 4 weeks after last dose of study drug) Males sexually active with a woman of childbearing age must agree to use barrier method of birth control during and after the study and not donate sperm (for up to 4 weeks after last dose of study drug).  Exclusion Criteria:  Life expectancy <3 months, as determined by the Investigator. Treatment with any local or systemic antineoplastic therapy (including chemotherapy, hormonal therapy, or radiation) within 3 weeks prior to first dose of BTX-1188 Immediate life-threatening severe complications of leukemia such as uncontrolled bleeding, pneumonia with hypoxia or shock, and/or disseminated intravascular coagulation Major trauma or major surgery within 4 weeks prior to first dose of BTX-1188. Adverse events from prior anti-cancer therapy that have not resolved to Grade ≤1 except for alopecia or Grade ≤2 immunotherapy-related thyroid toxicity. History of, or known, central nervous system (CNS) disease involvement, or prior history of NCI CTCAE Grade ≥3 drug-related CNS toxicity. Clinically significant cardiac disease Active uncontrolled systemic fungal, bacterial, mycobacterial, or viral infection Known positive test result for human immunodeficiency virus (HIV) or acquired immune deficiency syndrome (AIDS) Active hepatitis C virus (HCV) or hepatitis B virus (HBV) Second primary malignancy that has not been in remission for greater than 3 years Any serious underlying medical (e.g., pulmonary, renal, hepatic, gastrointestinal, or neurological) or psychiatric condition (e.g., alcohol or drug abuse, dementia or altered mental status) or any issue that would limit compliance with study requirements Pregnant, lactating, or breastfeeding. Participation or plans to participate in another interventional clinical study.