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- Title:
Gene regulation at the Mid-Hindbrain Boundary: Study of a mathematical model in the stationary limit
- Author(s):
- Ansorg, M.; Blöchl, F.; zu Castell, W.; Theis, F. J.; Wittmann, D. M.
- Abstract:
- We consider the stationary limit of a mathematical model that desribes gene regulation at the so-called mit-hindbrain boundary during neural development in vertebrates. The study of an approproate modified system provides us with solutions that resemble the situation of the original system and can be used as references for a subsequent numerical analysis in terms of a pseudo-spectral collocation point method. We discuss the resulting numerical solutions in terms of their biological relecance.
- Keywords:
- Developmental biology pattern formation Nonlinear boundary value problems Methods for differential-algebraic equations
- Journal title:
- Int. J. Biomath. Biostat.
- Year:
- 2010
- Journal volume:
- 1
- Journal issue:
- 1
- Pages contribution:
- 9-21
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