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A continuum mechanics approach to determining the cellular velocity field with a wool follicle
K Louie1, A J Hall, P W Gandar
1AgResearch, Grasslands Research Centre, Palmerston North, New Zealand.
Bulletin of Mathematical Biology
|May 9, 1998
Abstract:
A model, based on the principles of continuum mechanics, is presented for the analysis of cell-velocity fields within wool follicles. The model requires specification of three follicle characteristics in the form of spatially varying fields: viscosity, cell density and cell production rate. The viscosity is introduced as an attempt to model both complex intercellular interactions and individual cell deformation as the cells move. It is demonstrated that the distribution of cell production is more important than axial variation in viscosity in determining the overall flow pattern.