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Mathematical models cell motility

We have accordingly developed mathematical models for the effects of cell motility at the population level (Z, 2, Figure 6 illustrates the... [Pg.278]

Review of the literature reveals a small number of experiments that show that cell motility properties can have dramatic effects on population growth and competition in non-mixed systems. Simple mathematical models have been developed which provide qualitative explanation for all the observed phenomena, and yield quantitative prediction of the magnitude of effects which might be expected in a variety of situations. [Pg.289]

Mechanical forces, stresses, strains, and velocities play a critical role in many important aspects of cell physiology, such as cell adhesion, motility, and signal transduction. The modeling of cell mechanics is a challenging task because of the interconnection of mechanical, electrical, and biochemical processes involvement of different structural cellular components and multiple timescales. It can involve nonlinear mechanics and thermodynamics, and because of its complexity, it is most hkely that it will require the use of computational techniques. Typical steps in the development of a cell modeling include constitutive relations describing the state or evolution of the cell or its components, mathematical solution or transformation of the corresponding equations and boundary conditions, and computational implementation of the model. [Pg.1047]


See other pages where Mathematical models cell motility is mentioned: [Pg.456]    [Pg.457]    [Pg.245]    [Pg.304]    [Pg.316]    [Pg.560]    [Pg.148]   
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