7 citations · 12 across the 5 of their papers we have counts for
5 papers
On the infimum convolution inequalities with improved constants
Marcin Małogrosz
The goal of the article is to improve constants in the infimum convolution inequalities (IC for short) which were introduced by R. Latała and J.O. Wojtaszczyk. We show that the exp…
A model of morphogen transport II
Marcin Małogrosz
A model of morphogen transport consisting of two evolutionary PDEs of reaction-diffusion type and three ODEs posed on a rectangular domain is analysed. We prove that the problem is…
A model of morphogen transport in the presence of glypicans III
Marcin Małogrosz
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 $(-1,1)\ti…
A model of morphogen transport in the presence of glypicans I
Marcin Malogrosz
We analyze a one dimensional version of a model of morphogen transport, a biological process governing cell differentiation. The model was proposed by Hufnagel et al. to describe t…
Well-posedness and asymptotic behavior of a multidimensional model of morphogen transport
Marcin Małogrosz
Morphogen transport is a biological process, occurring in the tissue of living organisms, which is a determining step in cell differentiation. We present rigorous analysis of a sim…