Spatial model predicts dispersal and cell turnover cause reduced intra-tumor heterogeneity
arXiv:1503.07116 · doi:10.1038/nature14971
Abstract
Most cancers in humans are large, measuring centimeters in diameter, composed of many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as a result of the mutations that occur during each cell division. What is remarkable about cancers is their homogeneity - virtually every neoplastic cell within a large cancer contains the same core set of genetic alterations, with heterogeneity confined to mutations that have emerged after the last clonal expansions. How such clones expand within the spatially-constrained three dimensional architecture of a tumor, and come to dominate a large, pre-existing lesion, has never been explained. We here describe a model for tumor evolution that shows how short-range migration and cell turnover can account for rapid cell mixing inside the tumor. With it, we show that even a small selective advantage of a single cell within a large tumor allows the descendants of that cell to replace the precursor mass in a clinically relevant time frame. We also demonstrate that the same mechanisms can be responsible for the rapid onset of resistance to chemotherapy. Our model not only provides novel insights into spatial and temporal aspects of tumor growth but also suggests that targeting short range cellular migratory activity could have dramatic effects on tumor growth rates.
37 pages, 14 figures
References in corpus (12)
- Accumulation of driver and passenger mutations during tumor progression
- Genetic progression and the waiting time to cancer
- Multicellular Tumor Spheroid in an off-lattice Voronoi/Delaunay cell model
- Selective sweeps in growing microbial colonies
- Mutational pathway determines whether drug gradients accelerate evolution of drug-resistant cells
- Spatial structure increases the waiting time for cancer
- A waiting time problem arising from the study of multi-stage carcinogenesis
- Undulation Instability of Epithelial Tissues
- Toward an Ising Model of Cancer and Beyond
- Mechanical Properties of Growing Melanocytic Nevi and the Progression to Melanoma
- Survival Probabilities at Spherical Frontiers
- Reproduction time statistics and segregation patterns in growing populations
Cited by in corpus (19)
- Bacterial growth: a statistical physicist's guide
- Universal scaling laws rule explosive growth inhuman cancers
- Active phase separation: new phenomenology from non-equilibrium physics
- Blood Vessel Tortuosity Selects against Evolution of Agressive Tumor Cells in Confined Tissue Environments: a Modeling Approach
- Modeling tumorspheres reveals cancer stem cell niche building and plasticity
- Super-Linear Growth Reveals the Allee Effect in Tumors
- Bridging Scales: a Hybrid Model to Simulate Vascular Tumor Growth and Treatment Response
- The Moran process on 2-chromatic graphs
- Stochastic clonal dynamics and genetic turnover in exponentially growing populations
- Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes
- Cooperative success in epithelial public goods games
- Shape of population interfaces as an indicator of mutational instability in coexisting cell populations
- Short-Range Migration Can Alter Evolutionary Dynamics in Solid Tumors
- Fixation times on directed graphs
- Chase-Escape Percolation on the 2D Square Lattice
- Natural selection of mutants that modify population structure
- Minimal models of invasion and clonal selection in cancer
- Branching structure of genealogies in spatially growing populations and its implications for population genetics inference
- Mechanically-driven growth and competition in a Voronoi model of tissues