  To deal with permanent deformations and residual stresses, we consider a
morphoelastic model for the scar formation as the result of wound healing after
a skin trauma. Next to the mechanical components such as strain and
displacements, the model accounts for biological constituents such as the
concentration of signaling molecules, the cellular densities of fibroblasts and
myofibroblasts, and the density of collagen. Here we present stability
constraints for the one-dimensional counterpart of this morphoelastic model,
for both the continuous and (semi-) discrete problem. We show that the
truncation error between these eigenvalues associated with the continuous and
semi-discrete problem is of order $\mathcal{O}(h^2)$. Next, we perform
numerical validation to these constraints and provide a biological
interpretation of the (in)stability. For the mechanical part of the model, the
results show the components reach equilibria in a (non) monotonic way,
depending on the value of the viscosity. The results show that the parameters
of the chemical part of the model need to meet the stability constraint,
depending on the decay rate of the signaling molecules, to avoid unrealistic
results.
