Modeling Longitudinal Preclinical Tumor Size Data to Identify Transient Dynamics in Tumor Response to Antiangiogenic Drugs

CPT Pharmacometrics Syst Pharmacol. 2016 Nov;5(11):636-645. doi: 10.1002/psp4.12142. Epub 2016 Nov 14.

Abstract

Experimental evidence suggests that antiangiogenic therapy gives rise to a transient window of vessel normalization, within which the efficacy of radiotherapy and chemotherapy may be enhanced. Preclinical experiments that measure components of vessel normalization are invasive and expensive. We have developed a mathematical model of vascular tumor growth from preclinical time-course data in a breast cancer xenograft model. We used a mixed-effects approach for model parameterization, leveraging tumor size data to identify a period of enhanced tumor growth that could potentially correspond to the transient window of vessel normalization. We estimated the characteristics of the window for mice treated with an anti-VEGF antibody (bevacizumab) or with a bispecific anti-VEGF/anti-angiopoietin-2 antibody (vanucizumab). We show how the mathematical model could theoretically be used to predict how to coordinate antiangiogenic therapy with radiotherapy or chemotherapy to maximize therapeutic effect, reducing the need for preclinical experiments that directly measure vessel normalization parameters.

MeSH terms

  • Angiogenesis Inhibitors / pharmacology*
  • Animals
  • Antibodies, Monoclonal / pharmacology
  • Antibodies, Monoclonal, Humanized
  • Bevacizumab / pharmacology
  • Breast Neoplasms / blood supply
  • Breast Neoplasms / drug therapy*
  • Breast Neoplasms / pathology*
  • Breast Neoplasms / radiotherapy
  • Cell Line, Tumor
  • Combined Modality Therapy
  • Female
  • Humans
  • Longitudinal Studies
  • Mice
  • Mice, SCID
  • Models, Biological*
  • Models, Statistical
  • Neovascularization, Pathologic / drug therapy
  • Neovascularization, Pathologic / pathology
  • Random Allocation
  • Treatment Outcome
  • Tumor Burden / drug effects
  • Xenograft Model Antitumor Assays

Substances

  • Angiogenesis Inhibitors
  • Antibodies, Monoclonal
  • Antibodies, Monoclonal, Humanized
  • Bevacizumab
  • vanucizumab