Biomedical Engineering Reference
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of large number of cells upon using just a few, well accessible parameters as a
function of the local chemical condition of the substrate or tissue. Further, the third
scale is based on the continuum-hypothesis and is hence based on (systems of)
PDEs. These PDEs can be solved using discretization techniques such as finite-
element techniques or discontinuous Galerkin methods combined with limiters
when the equations are chemotaxis-dominated (or mathematically speaking, pre-
dominantly hyperbolic). The paper describes the relations between the various
scales involved in terms of stochastic and deterministic relations.
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