The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 20 2 2020 08 22 Investigation of effect of collagen fiber orientation on tumor cell invasion Investigation of effect of collagen fiber orientation on tumor cell invasion 207 214 1609 10.47176/ijpr.20.2.38241 FA Y Azimzade Department of Physics, University of Tehran, Tehran, Iran 0000-0001-7363-7916 A A Saberi Department of Physics, University of Tehran, Tehran, Iran Journal Article 2019 06 27 Collagen fibers can both inhibit and promote cellular migration, based on their orientation. Physical models such as Random walk can regenerate cellular migration. As such, we proposed a model based on (biased) random walk to study migration on collagen fibers. We took mean squared displacement as the determinant factor for metastatic risk and found that direction of fibers, spatial correlations and migration mode together regulate the risk and we proposed an approach to quantify an existing prognostic approach. Collagen fibers can both inhibit and promote cellular migration, based on their orientation. Physical models such as Random walk can regenerate cellular migration. As such, we proposed a model based on (biased) random walk to study migration on collagen fibers. We took mean squared displacement as the determinant factor for metastatic risk and found that direction of fibers, spatial correlations and migration mode together regulate the risk and we proposed an approach to quantify an existing prognostic approach. https://ijpr.iut.ac.ir/article_1609_a2cc63e065705fe938a4dda49092966f.pdf