Before revision: The dynamics associated with invasion and metastasis, which hallmarks of cancer , and involve collective cell migration by blood or interstitial flow, is poorly understood. ~In the present contribution, we describe a theory to the essence of fluid shear stress (FSS) driven collective motion using the stochastic quantization method . Long range hydrodynamic interactions between cells exhibit complex collective properties whose understanding may be crucial for describing metastasis.
After revision: The migration behaviors of cancer cells are known to be heterogeneous. However, the interplay between the adhesion interactions, dynamical shape changes and fluid flows in regulating cell migration heterogeneity and plasticity during cancer metastasis is still elusive. To further quantitative understanding of cell motility and morphology, we develop a theory using stochastic quantization method . Long range hydrodynamic interactions between cells exhibit complex collective properties whose understanding may be crucial for describing metastasis.