Stripe patterns and the eikonal equation (2009)
Peletier, Mark A., Veneroni, Marco
We study a new formulation for the eikonal equation |grad u| =1 on a bounded subset of R^2. Considering a field P of orthogonal projections onto 1-dimensional subspaces, with divergence bounded in...
The H^{-1}-norm of tubular neighbourhoods of curves (2009)
Van Gennip, Yves, Peletier, Mark A.
We study the H^{-1}-norm of the function 1 on tubular neighbourhoods of curves in R^2. We take the limit of small thickness epsilon, and we prove two different asymptotic results. The first is an...
Stripe patterns in a model for block copolymers (2009)
Peletier, Mark A., Veneroni, Marco
We consider a pattern-forming system in two space dimensions defined by an energy G_e. The functional G_e models strong phase separation in AB diblock copolymer melts, and patterns are represented by...
Japanese Oysters in Dutch Waters (2009)
Jan Bouwe, Berg Gregory, John Mcdarby, Mark A. Peletier, Robert Planqué, ...
We study a number of aspects of the colonisation of the Eastern Scheldt by the Japanese Oyster. We formulate and analyse some simple models of the spatial spreading, and determine a rough dependence...
Non-oriented solutions of the eikonal equation (2008)
Peletier, Mark A., Veneroni, Marco
We study a new formulation for the eikonal equation |grad u| =1 on a bounded subset of R^2. Instead of a vector field grad u, we consider a field P of orthogonal projections on 1-dimensional...
Mark A. Peletier, Robert Planqué, Phillip L. Wilson, Dragan Bezanovic, Luca Ferracina, ...
Abstract. We study a number of aspects of the colonisation of the Eastern Scheldt by the Japanese Oyster. We formulate and analyse some simple models of the spatial spreading, and determine a rough...
Extremal Points Of A Functional On The Set Of Convex Functions (2007)
Thomas Lachand-Robert, Mark A. Peletier, Ae R
. We investigate the extremal points of a functional R f(ru), for a convex or concave function f . The admissible functions u :\Omega ae R N ! R are convex themselves and satisfy a condition u 2 u u...
Networks: A New Summation Law (2007)
M. A. Peletier, H. V. Westerhoff, B. N. Kholodenko, Mark A. Peletier, Hans V. Westerhoff, Boris N. Kholodenko
Control of spatially heterogeneous and time-varying cellular reaction networks: a new summation law
phosphotransferase system and the effect (2007)
Christof Francke, Hans V. Westerhoff, Joke G. Blom, Mark A. Peletier
control of the bacterial phosphoenolpyruvate:glucose
C. Francke, P. W. Postma, H. V. Westerhoff, J. G. Blom, M. A. Peletier, Christof Francke, ...
Why the phosphotransferase system of Escherichia coli escapes the diffusion limitation of signal transduction, transport and metabolism that confronts mammalian cells
Stability of monolayers and bilayers in a copolymer-homopolymer blend model (2007)
Van Gennip, Yves, Peletier, Mark A.
We study the stability of layered structures in a variational model for diblock copolymer-homopolymer blends. The main step consists of calculating the first and second derivative of a...
Copolymer-homopolymer blends: global energy minimisation and global energy bounds (2007)
Van Gennip, Yves, Peletier, Mark A.
We study a variational model for a diblock-copolymer/homopolymer blend. The energy functional is a sharp-interface limit of a generalisation of the Ohta-Kawasaki energy. In one dimension, on the real...
Sobolev regularity and an enhanced Jensen inequality (2007)
Peletier, Mark A., Planqué, Robert, Röger, Matthias
We derive a new criterion for a real-valued function $u$ to be in the Sobolev space $W^{1,2}(\R^n)$. This criterion consists of comparing the value of a functional $\int f(u)$ with the values of the...
Numerical variational methods applied to cylinder buckling (2006)
Horak, Jiri, Lord, Gabriel J., Peletier, Mark A.
We review and compare different computational variational methods applied to a system of fourth order equations that arises as a model of cylinder buckling. We describe both the discretization and...
Partial Localization, Lipid Bilayers, and the Elastica Functional (2006)
Peletier, Mark A., Roeger, Matthias
Partial localization is the phenomenon of self-aggregation of mass into high-density structures that are thin in one direction and extended in the others. We give a detailed study of an energy...
Cylinder Buckling: The Mountain Pass as an Organizing Center (2005)
Horak, Jiri, Lord, Gabriel J., Peletier, Mark A.
We revisit the classical problem of the buckling of a long thin axially compressed cylindrical shell. By examining the energy landscape of the perfect cylinder we deduce an estimate of the...
Self-Similar blow-up for a diffusion-attraction problem (2004)
Guerra, Ignacio A., Peletier, Mark A.
In this paper we consider a system of equations that describes a class of mass-conserving aggregation phenomena, including gravitational collapse and bacterial chemotaxis. In spatial dimensions...
A consistent treatment of link and writhe for open rods, and their relation to end rotation (2003)
Peletier, Mark A., Planqué, Robert
We combine and extend the work of Alexander & Antman \cite{alexander.82} and Fuller \cite{fuller.71,fuller.78} to give a framework within which precise definitions can be given of topological and...
Peletier, Mark A., Westerhoff, Hans V., Kholodenko, Boris N.
A hallmark of a plethora of intracellular signaling pathways is the spatial separation of activation and deactivation processes that potentially results in precipitous gradients of activated...
Christof Francke, Hans V. Westerhoff, Mark A. Peletier
ABSTRACT We calculated the implications of diffusion for the phosphoenolpyruvate:glucose phosphotransferase system (glucose-PTS) of Escherichia coli in silicon cells of various magnitudes. For a cell...
Diffusive gradients in the PTS system (2000)
M. A. Peletier, J. G. Blom, J. G. Blom, Mark A. Peletier
and their applications. SMC is sponsored by the Netherlands Organization for Scientific Research (NWO). CWI is a member of
Self-Similar Solutions of a Fast Diffusion Equation That Do Not Conserve Mass (1994)
Mark A. Peletier, Mark A. Peletier, Hongfei Zhang, Hongfei Zhang
We consider self-similar solutions of the fast diffusion equation u t = r \Delta (u \Gamman ru) in (0; 1) \Theta R N , for N 3 and 2 N ! n ! 1, of the form u(x; t) = (T \Gamma t) ff f \Gamma jxj (T...
Why the Phosphotransferase System of Escherichia coli Escapes Diffusion Limitation
Francke, Christof, Postma, Pieter W., Westerhoff, Hans V., Blom, Joke G., Peletier, Mark A.
We calculated the implications of diffusion for the phosphoenolpyruvate:glucose phosphotransferase system (glucose-PTS) of Escherichia coli in silicon cells of various magnitudes. For a cell of...
Why the Phosphotransferase System of Escherichia coli Escapes Diffusion Limitation
Francke, Christof, Postma, Pieter W., Westerhoff, Hans V., Blom, Joke G., Peletier, Mark A.
We calculated the implications of diffusion for the phosphoenolpyruvate:glucose phosphotransferase system (glucose-PTS) of Escherichia coli in silicon cells of various magnitudes. For a cell of...