A spatial model of tumor-host interaction: application of chemotherapy.

  title={A spatial model of tumor-host interaction: application of chemotherapy.},
  author={P. Hinow and P. Gerlee and L. Mccawley and V. Quaranta and Madalina Ciobanu and S. Wang and Jason M. Graham and Bruce P. Ayati and J. Claridge and K. Swanson and M. Loveless and A. Anderson},
  journal={Mathematical biosciences and engineering : MBE},
  volume={6 3},
  • P. Hinow, P. Gerlee, +9 authors A. Anderson
  • Published 2009
  • Biology, Medicine
  • Mathematical biosciences and engineering : MBE
  • In this paper we consider chemotherapy in a spatial model of tumor growth. The model, which is of reaction-diffusion type, takes into account the complex interactions between the tumor and surrounding stromal cells by including densities of endothelial cells and the extra-cellular matrix. When no treatment is applied the model reproduces the typical dynamics of early tumor growth. The initially avascular tumor reaches a diffusion limited size of the order of millimeters and initiates… CONTINUE READING
    Hybrid models of tumor growth
    • 237
    Rapid optimization of drug combinations for the optimal angiostatic treatment of cancer
    • 75
    • PDF
    A Mathematical Model Coupling Tumor Growth and Angiogenesis
    • 45
    • PDF
    Computational Modeling of Tumor Response to Vascular-Targeting Therapies—Part I: Validation
    • 31
    • PDF
    Taking Aim at Moving Targets in Computational Cell Migration.
    • 53
    • PDF


    Publications referenced by this paper.
    • 91,835
    • PDF
    Angiogenesis in cancer and other diseases
    • 7,681
    • PDF
    The biology of VEGF and its receptors
    • 7,902
    • PDF
    Cell and environment interactions in tumor microregions: the multicell spheroid model.
    • 1,639
    Continuous and discrete mathematical models of tumor-induced angiogenesis
    • 733
    • PDF
    Angiogenic factors.
    • 1,779
    Exploiting tumour hypoxia in cancer treatment
    • 1,736
    • PDF
    A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion.
    • 174
    • PDF