The invasion speed of cell migration models with realistic cell cycle time distributions.

  title={The invasion speed of cell migration models with realistic cell cycle time distributions.},
  author={Enrico Gavagnin and Matthew Jonathan Ford and Richard L. Mort and Tim Rogers and Christian A. Yates},
  journal={Journal of theoretical biology},

Figures from this paper

A novel mathematical model of heterogeneous cell proliferation.

The model incorporates two cellular processes, asymmetric cell division and induced switching between proliferative states, which are important determinants for the heterogeneity of a cell population, and finds that the parameters for induced switching are bifurcation parameters and therefore determine the long-term behaviour of the model.

Age Structure Can Account for Delayed Logistic Proliferation of Scratch Assays

The aim of this work is to show that a nonlinear age-structured population model can account for the two phases of proliferation in scratch assays and show that the interplay between the resource concentration in the substrate and the cell subpopulations dynamics can explain the biphasic dynamics.

Age-structure as key to delayed logistic proliferation of scratch assays

The aim of this work is to show that a non-linear age-structured population model can account for the two phases of proliferation in scratch assays and show that the resource concentration in the substrate regulates the biphasic dynamics.

Cell Size Regulation Induces Sustained Oscillations in the Population Growth Rate.

It is discovered that the relaxation timescale of the population to its steady state is determined by the distribution of single-cell growth rates and is surprisingly independent of details of the division process such as the noise in the timing of division and the mechanism of cell-size regulation.

Coupled differentiation and division of embryonic stem cells inferred from clonal snapshots

Two minimal branching process models of cell division and differentiation in a well-mixed population are presented and a possible shift in dynamics is indicated, with these processes becoming more coupled over time.

Synchronised oscillations in growing cell populations are explained by demographic noise

A population of melanoma cells is studied for which oscillations in the proportions of cells in each phase of the cell cycle are found, demonstrating that these observations may be triggered by intrinsic demographic noise alone, rather than any active synchronisation mechanism requiring cell-cell communication.

Equivalence framework for an age-structured multistage representation of the cell cycle.

A hierarchical system of equations describing the full dynamics of an age-structured multi-stage Markov process for approximating cell cycle time distributions is developed, and it is demonstrated that the resulting mean behaviour is equivalent to the classical McKendrick-von Foerster integro-partial differential equation.

Architectures of epidemic models: accommodating constraints from empirical and clinical data

This work investigates two situations: first the distribution of transition times from a compartment to another may impose a variable number of intermediary states; secondly, a non-linear relationship between time-dependent measures of compartments sizes may indicate the need for structurations.

Reduction of Server Load by Means of CMS Drupal

In this paper description and analysis of simple methods of reducing (neutralization) the server load, as well as methods of optimization of Drupal based on embedded and additionally installed



Stochastic models of cell invasion with fluorescent cell cycle indicators

A stochastic, lattice-based random walk model of a two-dimensional scratch assay where the total population is composed of three distinct subpopulations which are visualised as red, yellow and green subpopulation is developed.

A Multi-stage Representation of Cell Proliferation as a Markov Process

A method of modelling the cell cycle is suggested that restores the memoryless property to the system and is therefore consistent with simulation via the Gillespie algorithm, and can restore the Markov property at the same time as more accurately approximating the appropriate cell cycle time distributions.

Simulating invasion with cellular automata: connecting cell-scale and population-scale properties.

A discrete cellular automata model of invasion with experimentally motivated rules is developed that allows both the cell-scale and population-scale properties of invasion to be predicted in a way that is consistent with multiscale experimental data.

Traveling wave model to interpret a wound-healing cell migration assay for human peritoneal mesothelial cells.

A "wound-healing" experiment that quantifies the migration of human peritoneal mesothelial cells over components of the extracellular matrix was performed, and a relationship between the rate of cell proliferation and the diffusion coefficient was obtained.

Macroscopic limits of individual-based models for motile cell populations with volume exclusion.

This work derives limiting population-level descriptions of a motile cell population from an off-lattice, individual-based model (IBM) and investigates the effects of volume exclusion on the population- level dynamics.