A biochemical and mechanical model of injury-induced intimal thickening.

  title={A biochemical and mechanical model of injury-induced intimal thickening.},
  author={Pak-Wing Fok and Rebecca Sanft},
  journal={Mathematical medicine and biology : a journal of the IMA},
  volume={34 1},
  • P. Fok, Rebecca Sanft
  • Published 21 December 2015
  • Chemistry, Medicine
  • Mathematical medicine and biology : a journal of the IMA
In this paper, we investigate an axisymmetric model of intimal thickening using hyperelasticity theory. Our model describes the growth of the arterial intima due to cell proliferation which, in turn, is driven by the release of a cytokine such as platelet-derived growth factor (PDGF). With the growth rate tied to both local stress and the local concentration of PDGF, we derive a quadruple free boundary problem with different regions of the vessel wall characterized by different homeostatic… 
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