title: Mathematical model for chemotherapeutic drug efficacy in arresting tumour growth based on the cancer stem cell hypothesis.
abstract: OBJECTIVE
  Cancer stem cells have been identified as the growth root for various malignant tumours and are thought to be responsible for cancer recurrence following treatment.
  
  
  METHODS
  Here, a predictive mathematical model for the cancer stem cell hypothesis is used to understand tumour responses to chemotherapeutic drugs and judge the efficacy of treatments in arresting tumour growth. The impact of varying drug efficacies on different abnormal cell populations is investigated through the kinetics associated with their decline in response to therapy.
  
  
  CONCLUSIONS
  The model predicts the clinically established 'dandelion phenomenon' and suggests that the best response to chemotherapy occurs when a drug targets abnormal stem cells. We compare continuous and periodic drug infusion. For the latter, we examine the relative importance of the drug cell-kill rate and the mean time between successive therapies, to identify the key attributes for successful treatment.
authors.affiliation: Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA.
authors.forename: R
authors.initials: R
authors.lastname: Ganguly
authors.forename: I K
authors.initials: IK
authors.lastname: Puri
mesh_terms: D000970:Antineoplastic Agents / Q000494:pharmacology*; D002451:Cell Compartmentation / Q000187:drug effects; D002455:Cell Division / Q000187:drug effects; D002470:Cell Survival / Q000187:drug effects; D006801:Humans; D008954:Models, Biological; D014411:Neoplastic Stem Cells / Q000166:cytology* / Q000187:drug effects*; D011237:Predictive Value of Tests; D015398:Signal Transduction / Q000187:drug effects
chemical_list: D000970:Antineoplastic Agents