AN ANALYSIS OF MODES IN A CARICATURE OF A MODEL FOR MORPHOGENESIS

S.M.A.  Rahman; S.F.  Ahmmed; M.R.  Islam

doi:10.53808/KUS.2006.7.1.0537-PS

Authors

S.M.A. Rahman Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
S.F. Ahmmed Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
M.R. Islam Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2006.7.1.0537-PS

Keywords:

Landau equation, morphogenesis, stability, unstability

Abstract

In this paper, we have investigated a simple one-dimensional caricature model proposed by Maini et al. (1988) for cell pattern formation. In our analysis the model exhibits the similar linear behavior of complex model proposed by Nagorika et al. (1987). We also present a nonlinear analysis that gives the possibility of superposition of modes subject to parameter values and initial conditions.

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References

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