کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7222283 | 1470398 | 2016 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A model of morphogen transport in the presence of glypicans III
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A model of morphogen transport in the presence of glypicans III A model of morphogen transport in the presence of glypicans III](/preview/png/7222283.png)
چکیده انگلیسی
We analyse a stationary problem for the two dimensional model of morphogen transport introduced by Hufnagel et al. The model consists of one linear elliptic PDE posed on (â1,1)Ã(0,h) which is coupled via a nonlinear boundary condition with a second order semilinear ODE posed on (â1,1)Ã{0}. The main result of the article is existence of the unique steady state for all ranges of parameters present in the system. Moreover we consider the problem of the dimension reduction. After introducing an appropriate scaling in the model we prove that, as hâ0, the stationary solution converges to the unique steady state of the one dimensional simplification of the model which was analysed in the first part of the series of papers. The main difficulty in obtaining appropriate estimates stems from the presence of a measure source term in the boundary condition.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 31, October 2016, Pages 88-99
Journal: Nonlinear Analysis: Real World Applications - Volume 31, October 2016, Pages 88-99
نویسندگان
Marcin MaÅogrosz,