MATHEMATICAL MODELS FOR QUANTIFYING COLLECTIVE CELL BEHAVIOUR

Cellular Automaton Models for Collective Cell Behaviour

Mathematical Models of Brain Deformation Behaviour for Computer-integrated Neurosurgery

This Report discusses mathematical models of brain deformation behaviour for neurosurgical simulation, brain image registration and computer simulation of development of structural brain diseases. These processes can be reasonably described in purely mechanical terms, such as displacements (or displacement field), internal forces (stresses), pressure (or pressure field), flow and velocity of th...

Modelling Collective Animal Behaviour using Extended Point Distribution Models

Models of collective animal behaviour, such as the ocking of birds, are usually based upon simulations that appear to exhibit properties of the animals in question. In this paper, we describe an alternative approach; that of automatically extracting a model of animal behaviour from video sequences of real animals. Point distribution models (PDMs) are used to describe the shape of a ock of ducks...

Models of collective cell behaviour with crowding effects: comparing lattice-based and lattice-free approaches.

Individual-based models describing the migration and proliferation of a population of cells frequently restrict the cells to a predefined lattice. An implicit assumption of this type of lattice-based model is that a proliferative population will always eventually fill the lattice. Here, we develop a new lattice-free individual-based model that incorporates cell-to-cell crowding effects. We also...

Testing and Quantifying Collective Intelligence

Among nature and society’s most impressive feats is the ability of organisms and people to collectively accomplish complex goals that none could achieve individually. Ant colonies efficiently find nearoptimal paths to food sources, while anonymous people collaboratively produce sites like Wikipedia. Because such systems are decentralized, they are more resilient and adaptive than groups that re...