Pattern formation of skin cancers: Effects of cancer proliferation and hydrodynamic interactions
arXiv:1809.04841 · doi:10.1103/PhysRevE.99.032416
Abstract
We study pattern formation of skin cancers by means of numerical simulation of a binary system consisting of cancer and healthy cells. We extend the conventional Model H for macrophase separations by considering a logistic growth of cancer cells and also a mechanical friction between dermis and epidermis. Importantly, our model exhibits a microphase separation due to the proliferation of cancer cells. By numerically solving the time evolution equations of the cancer composition and its velocity, we show that the phase separation kinetics strongly depends on the cell proliferation rate as well as on the strength of hydrodynamic interactions. A steady state diagram of cancer patterns is established in terms of these two dynamical parameters and some of the patterns correspond to clinically observed cancer patterns. Furthermore, we examine in detail the time evolution of the average composition of cancer cells and the characteristic length of the microstructures. Our results demonstrate that different sequence of cancer patterns can be obtained by changing the proliferation rate and/or hydrodynamic interactions.
arXiv commentSupplementaly materials (Movies) are not included
References in corpus (8)
- Inertial effects in three dimensional spinodal decomposition of a symmetric binary fluid mixture: A lattice Boltzmann study
- Arrested phase separation in reproducing bacteria: a generic route to pattern formation?
- Homeostatic competition drives tumor growth and metastasis nucleation
- Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid
- Phase Separation Kinetics in a Model with Order-Parameter Dependent Mobility
- Stability and roughness of interfaces in mechanically-regulated tissues
- Phase Separation in a Simple Model with Dynamical Asymmetry
- Hydrodynamics of stratified epithelium: steady state and linearized dynamics