Evaluate the Safety and Efficacy for Oral Mucositis Prevention of MIT-001 in Auto HSCT

Inclusion Criteria: 1. Men and women aged 19 to 70 years old 2. Patients with lymphoma or multiple myeloma planned for receiving one of the following conditioning chemotherapy followed by autologous hematopoietic stem cell transplantation * BuCyE Regimen: Busulfan (iv) 3.2 mg/kg (Day 1, Day 2, Day 3) + Etoposide (iv) 400 mg/m² (Day 3, Day 4) + Cyclophosphamide (iv) 50 mg/kg/Mesna (iv) 50 mg/kg (Day 5, Day 6), and autologous HSCT after 1 day rest after completion of 6 days of conditioning chemotherapy * BMT Regimen: Busulfan (iv) 2.4 mg/kg (Day 1, Day 2, Day 3) + Melphalan (iv) 40 mg/m2 (Day 4, Day 5) + Thiotepa (iv) 200 mg/ m2 (Day 6, Day 7), and autologous HSCT after 1 day rest after completion of 7 days of conditioning chemotherapy * Melphalan Regimen: Melphalan (iv) 100 mg/m2 (Day 1, Day 2), and autologous HSCT after 1 day rest after completion of 2 days of conditioning chemotherapy * BuMel Regimen: Busulfan (iv) 3.2 mg/kg (Day 1, Day 2, Day 3) + Melphalan (iv) 140 mg/m2 (Day 4), and autologous HSCT after 1 day rest after completion of 4 days of conditioning chemotherapy (In part 2, BUCYE, BMT and MELPHALAN regimens are allowed.) 3. Patients who have not received a hematopoietic stem cell transplant before 4. Patients with Body Mass Index (BMI) 35 or less 5. Patients who have prepared at least 2 x 10\^6 CD34+ cell/kg 6. Patients whose hematologic, kidney and liver functions were confirmed to be proper through the following laboratory test results last measured within 8 days prior to the investigational product(IP) administration Laboratory endpoint Required limit for inclusion Absolute neutrophil count (ANC) ≥ 1,000/mm\^3 Hemoglobin (Hb) ≥ 9.0 g/dL Platelet count ≥ 100,000/mm\^3 Total bilirubin (TB) ≤ 2 mg/Dl AST and ALT ≤ 3.0 x ULN(if liver metastasis, ≤ 5 x ULN) Prothrombin time (PT) INR ≤ 1.5 (if taking warfarin, \< 3) Serum creatinine or creatinine clearance (CrCl) \< 2 mg/dL or≥ 60 mL/min 7. Patients with Eastern Cooperative Oncology Group performance status (ECOG-PS) of 0 or 1 8. Patients who voluntarily decided to participate in this study after being informed of the study information, and provided written consent to faithfully comply with the study requirements Exclusion Criteria: 1. Patients who has the following medical history or concomitant diseases at screening * Patients with oral mucositis or oral ulcer at screening * Patients who have severe infections or other uncontrolled active infectious diseases at screening that require administration of antibiotics, antibacterial agents, antifungal agents, antivirals, etc. (e.g., Human Immunodeficiency Virus positive, active hepatitis B or active hepatitis C, etc.) However, in case of administration of antiviral drugs in patients with hepatitis B or C infection, whose disease is controlled, the subjects can be enrolled. * Patients who have major cardiovascular disease within 6 months before screening, which includes, but not limited to Severe heart disease (heart failure (NYHA class 3 and 4), acute coronary artery disease (unstable angina, acute myocardial infarction), clinically significant ventricular tachycardia, atrial fibrillation, atrial flutter, or other clinically significant arrhythmia and peripheral vascular diseases confirmed by the investigator Hypertrophic obstructive cardiomyopathy, clinically significant heart valve disease or aortic disease * Patients who are considered inappropriate to participate in the study because they have uncontrolled disease and have a comorbid disease that requires treatment by the investigator's judgement (e.g., blood coagulation disorder, bleeding disorder or bleeding diatheses, pulmonary function decline, decline in renal function, hypotension, hypertension, hepatitis, liver cirrhosis, etc) * Patients who have major mental illness (e.g., depression, bipolar disorder, etc.) or a history of drug/alcohol abuse 2. If the following therapy has been administered or received, or when the need for administration is expected * The following therapies within 12 weeks before the baseline that may have a significant effect on the results of the study Palifermin Oral low-level laser therapy Oral cryotherapy Glutamine (parenteral, IV supplement of protein amino acids containing glutamic acid, not glutamine supplements, are permitted) * Vaccination of yellow fever vaccine or other live attenuated vaccine within 4 weeks before the baseline * Anti-cancer or radiation therapy\* within 3 weeks before the baseline (However, the use of Anti-cancer drugs for hematopoietic stem cell collection is permitted and subjects who have been irradiated with head and neck within the last 2 years are excluded.) (\*Radio(chemo)therapy, chemotherapy, targeted therapy (small molecule drugs, monoclonal antibodies), cancer immunotherapy (biological drugs), or hormone therapy, etc.) * The following drugs that may affect the metabolism of IP from within 7 days before the baseline to the end of treatment (EOT) period Strong CYP3A4 inhibitors: boceprevir, citrus x paradisi, clarithromycin, cobicistat, conivaptan, delavirdine, diltiazem, idelalisib, indinavir, itraconazole, ketoconazole, mibefradil, miconazole, nefazodone, nelfinavir, posaconazole, lopinavir/ritonavir, saquinavir, telaprevir, telithromycin, tipranavir, troleandomycin, voriconazole Strong CYP3A4 inducers: avasimibe, carbamazepine, enzalutamide, fosphenytoin, hypericum perforatum, lumacaftor, methylphenobarbital, mitotane, phenobarbital, phenobarbital quinine, primidone, rifabutin, rifampicin, rifapentine OATP inhibitors: cyclosporin A, cyclosporine, estradiol-17β-glucuronide, estrone-3-sulfate, rifampicin, rifamycin SV, lopinavir/ritonavir 3. Pregnant and lactating women or women or childbearing potential and men who have a pregnancy plan up to 30 days after the end of the IP administration or who do not intend to use appropriate contraception: ① Hormonal contraceptives, ② Implantation of an intrauterine device or intrauterine system, ③ Double blocking method with spermicide (both male condom and closed cap (contraceptive diaphragm or neck cap) are used), ④ Infertility procedures (e.g., vasectomy, bilateral tubal ligation, etc.) 4. Patients who participated in other clinical trials within 30 days from the start of IP administration and received other study drug (or medical devices) 5. Patient who are judged to be difficult to participate in the study according to the opinions of investigators