title: Development of a diffusion-based mathematical model for predicting chemotherapy effects.
abstract: Mathematical modeling of drug transport can complement current experimental and clinical investigations to understand drug resistance mechanisms, which eventually will help to develop patient-specific chemotherapy treatments. In this paper, we present a general time- and space-dependent mathematical model based on diffusion theory for predicting chemotherapy outcome. This model has two important parameters: the blood volume fraction and radius of blood vessels divided by drug diffusion penetration length. Model analysis finds that a larger ratio of the radius of blood vessel to diffusion penetration length resulted in to a larger fraction of tumor killed, thereby leading to a better treatment outcome. Clinical translation of the model can help quantify and predict the optimal dosage size and frequency of chemotherapy for individual patients.
authors.forename: Zhihui
authors.initials: Z
authors.lastname: Wang
authors.forename: Romica
authors.initials: R
authors.lastname: Kerketta
authors.forename: Yao-Li
authors.initials: YL
authors.lastname: Chuang
authors.forename: Vittorio
authors.initials: V
authors.lastname: Cristini
mesh_terms: D000970:Antineoplastic Agents / Q000378:metabolism / Q000627:therapeutic use; D001808:Blood Vessels / Q000378:metabolism; D015179:Colorectal Neoplasms / Q000000981:diagnostic imaging / Q000188:drug therapy / Q000473:pathology; D006801:Humans; D008113:Liver Neoplasms / Q000000981:diagnostic imaging / Q000556:secondary; D008962:Models, Theoretical; D014057:Tomography, X-Ray Computed
chemical_list: D000970:Antineoplastic Agents