title: Mathematical model of the effect of interstitial fluid pressure on angiogenic behavior in solid tumors.
abstract: We present a mathematical model for the concentrations of proangiogenic and antiangiogenic growth factors, and their resulting balance/imbalance, in host and tumor tissue. In addition to production, diffusion, and degradation of these angiogenic growth factors (AGFs), we include interstitial convection to study the locally destabilizing effects of interstitial fluid pressure (IFP) on the activity of these factors. The molecular sizes of representative AGFs and the outward flow of interstitial fluid in tumors suggest that convection is a significant mode of transport for these molecules. The results of our modeling approach suggest that changes in the physiological parameters that determine interstitial fluid pressure have as profound an impact on tumor angiogenesis as those parameters controlling production, diffusion, and degradation of AGFs. This model has predictive potential for determining the angiogenic behavior of solid tumors and the effects of cytotoxic and antiangiogenic therapies on tumor angiogenesis.
authors.affiliation: Department of Applied Mathematics, University of Waterloo, Waterloo, ON, Canada.
authors.forename: Colin
authors.initials: C
authors.lastname: Phipps
authors.forename: Mohammad
authors.initials: M
authors.lastname: Kohandel
mesh_terms: D020533:Angiogenesis Inhibitors / Q000627:therapeutic use; D019295:Computational Biology / Q000379:methods; D004058:Diffusion; D018450:Disease Progression; D045604:Extracellular Fluid / Q000378:metabolism*; D006801:Humans; D036341:Intercellular Signaling Peptides and Proteins; D015233:Models, Statistical; D008962:Models, Theoretical; D008970:Molecular Weight; D009369:Neoplasms / Q000473:pathology*; D009389:Neovascularization, Pathologic; D010100:Oxygen / Q000737:chemistry; D010539:Permeability; D011312:Pressure
chemical_list: D020533:Angiogenesis Inhibitors; D036341:Intercellular Signaling Peptides and Proteins; D010100:Oxygen