RT Journal Article
SR Electronic
T1 Cell growth rate dictates the onset of glass to fluid-like transition and long time super-diffusion in an evolving cell colony
JF bioRxiv
FD Cold Spring Harbor Laboratory
SP 174599
DO 10.1101/174599
A1 Abdul N Malmi-Kakkada
A1 Xin Li
A1 Himadri S. Samanta
A1 Sumit Sinha
A1 D. Thirumalai
YR 2017
UL http://biorxiv.org/content/early/2017/08/10/174599.abstract
AB Collective migration dominates many phenomena, from cell movement in living systems to abiotic self-propelling particles. Focusing on the early stages of tumor evolution, we enunciate the principles involved in cell dynamics and highlight their implications in understanding similar behavior in seemingly unrelated soft glassy materials and possibly chemokine-induced migration of CD8+ T cells. We performed simulations of tumor invasion using a minimal three dimensional model, accounting for cell elasticity and adhesive cell-cell interactions to establish that cell growth rate-dependent tumor expansion results in the emergence of distinct topological niches. Cells at the periphery move with higher velocity perpendicular to the tumor boundary, while motion of interior cells is slower and isotropic. The mean square displacement, Δ (t), of cells exhibits glassy behavior at times comparable to the cell cycle time, while exhibiting super-diffusive behavior, Δ (t) ≈ tα, at longer times. We derive the value of using a field theoretic approach based on stochastic quantization. In the process we establish the universality of super-diffusion in a class of seemingly unrelated non-equilibrium systems. Our findings for the collective migration, which also suggests that tumor evolution occurs in a polarized manner, are in quantitative agreement with in vitro experiments. Although set in the context of tumor invasion the findings should also hold in describing collective motion in growing cells and in active systems where creation and annihilation of particles play a role.