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By Felli V., Schneider S.

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Extra resources for A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type

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It was therefore rather surprising that a negative feedback mechanism of the form (1) known to be effective in other applications was found not to render the development of the Drosophila wing imaginal disc more robust 12. In fact, numerical simulations for lo6 sets of system parameter values showed generally a higher sensitivity to a doubling of D p p synthesis rate than the basic models. The unexpected finding prompted the present examination of the cause of the ineffectiveness of the negative feedback mechanism (1).

We have suggested 26 that the open-and-shut of ion channels behave like a nonlinear oscillator. This again requires experimental verification. The important point is that such a mechanism can be theoretically constructed. Other things inside the neuron could play the roles of the ion channels in the theory. Again theoretical analysis could be refined to deal with specific real problems. Appendix A. Ion-Acoustic Waves in Plasm Consider a plasma consists of electrons and a single species of positive ions.

Spatially distributed morphogen production and morphogen gradient formation,” Math. Biosci. Eng. (MBE), Vol. 2 , 2005, 239 262. 10. , Nie, Q. , ”Internalization and end flux in morphogen gradient formation,” J. Comp. Appl. Math 2006, 232-251. 11. , ”Diffusion and Morphogen Gradient Formation - Part I: Extracellular Formulation,” submitted to J. Math. Bio. 12. , ”Multiple Paths to Morphogen Gradient Robustness,” 2005, submitted for publication. 13. , Nie, Q. , ”Nonlinear eigenvalue problems in the stability analysis of morphogen gradients,” Studies in Appl.

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A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type by Felli V., Schneider S.


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