Hm. Byrne et Maj. Chaplain, THE IMPORTANCE OF CONSTITUTIVE-EQUATIONS IN MECHANOCHEMICAL MODELS OFPATTERN-FORMATION, Applied mathematics letters, 9(6), 1996, pp. 85-90
We analyze a one-dimensional mechanical model which has been proposed
to account for the pattern formation which arises in various processes
in developmental biology. We compare the effect that different consti
tutive equations have on the resulting spatial pattern. In this way, w
e conclude that a more detailed knowledge of the mechanical properties
of tissues is need if accurate predictions of developing spatial patt
erns are to be made.