title: Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors.
abstract: Cancer is a class of diseases characterized by out-of-control cells' growth which affect cells and make them damaged. Many treatment options for cancer exist. Chemotherapy as an important treatment option is the use of drugs to treat cancer. The anticancer drug travels to the tumor and then diffuses in it through capillaries. The diffusion of drugs in the solid tumor is limited by penetration depth which is different in case of different drugs and cancers. The computation of this depth is important as it helps physicians to investigate about treatment of infected tissue. Although many efforts have been made on studying and measuring drug penetration depth, less works have been done on computing this length from a mathematical point of view. In this paper, first we propose phase lagging model for diffusion of drug in the tumor. Then, using this model on one side and considering the classic diffusion on the other side, we compute the drug penetration depth in the solid tumor. This computed value of drug penetration depth is corroborated by comparison with the values measured by experiments.
authors.affiliation: School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798.
authors.forename: Hamidreza
authors.initials: H
authors.lastname: Namazi
authors.affiliation: School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798.
authors.forename: Vladimir V
authors.initials: VV
authors.lastname: Kulish
authors.affiliation: Department of Radiotherapy, Oncology and Palliative Care, Sarawak General Hospital, 93586 Kuching, Sarawak, Malaysia.
authors.forename: Albert
authors.initials: A
authors.lastname: Wong
authors.affiliation: Faculty of Cognitive Sciences and Human Development, Universiti Malaysia Sarawak, 94300 Kota Samarahan, Sarawak, Malaysia.
authors.forename: Sina
authors.initials: S
authors.lastname: Nazeri
mesh_terms: D000970:Antineoplastic Agents / Q000493:pharmacokinetics* / Q000627:therapeutic use; D001693:Biological Transport, Active; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D009369:Neoplasms / Q000188:drug therapy / Q000378:metabolism*
chemical_list: D000970:Antineoplastic Agents