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Cell movement and cell transport (2009)

Organizers: Dietmar Ölz (U. Vienna), Vuk Milisic (Grenoble, WPI-CNRS), Christian Schmeiser (U. Vienna, RICAM Linz)

Talks


Adelia Sequeira (Inst. Sup. Tecnico, Lisboa) WPI seminar room C714 Mon, 8. Jun 09, 11:00
Mathematical analysis and numerical simulation of non-Newtonian blood flow models
The circulatory system is highly integrated and modeling its various functions is an incredibly challenging problem, which requires addressing many fundamental issues, both from the mathematical and computational viewpoints. In this talk we introduce some non-Newtonian mathematical models of the cardiovascular system and comment on their mathematical properties and significance to yield realistic and accurate numerical results. The geometrical multiscale approach, consisting in coupling a hierarchy of models with different levels of complexity and detail will be discussed, and some numerical simulations illustrating its effectiveness will be presented.
  • Thematic program: Cell movement and cell transport (2009)
  • WK seminar

Yana Vereshaga (Stockholm University) WPI seminar room C714 Fri, 12. Jun 09, 14:00
Helix-helix interactions in cell membrane: from Monte Carlo towards in vivo experiment
Protein-protein interactions are often performed by helix-helix recognition in cell membranes. They are crucial for signal transduction, cell's growth/apoptosis as well as for organization of protein topology and final folding (only about 150 spatial structures of membrane proteins are known). It is started to be possible to explore the helix-helix interactions in membrane theoretically In Silico - Monte Carlo simulations with implicit membrane representation successfully predict alpha-helical dimers (transmembrane region) – glycophorin A, pro-apoptotic factor BNIP3 and Ephrin receptor 1 from the family of Receptor Tyrosine Kinases (RTKs) with a good agreement of NMR and mutagenesis data, coming later. There is a promising perspective for structural-based design of TM peptides with inhibition effect on badly down regulated onco-receptors in plasma membrane. Also, the role of helix-helix interactions in translocation/stabilization into lipid bilayer of TM helices is getting feasible (Lactose Permease protein is taken). In silico Monte Carlo experiment and In vitro translation in the presence of dog pancreas rough microsomes have shown that it is achievable for helices with charged residues in TM region to be inserted into lipid bilayer together, in pairs, while the single helices do not insert. Moreover, the pair-helices insertion into hydrophobic surrounding is accomplished only in a case of native-like packing between helices.
  • Thematic program: Cell movement and cell transport (2009)
  • WK seminar

Razafison, Ulrich (Univ. Orleans, France) WPI Seminar Room C 714 Fri, 24. Jul 09, 10:00
Weighted Sobolev spaces for the stationary Navier-Stokes equations in 3D exterior domains
In this talk, we consider the three-dimensional exterior problem for stationary Navier-Stokes equations. The model describes the flow past an obstacle of a viscous and incompressible fluid. Since the flow domain is unbounded, we choose to set the problem in weighted Sobolev spaces in order to describe the behavior at infinity of the solutions. In addition, to take into account the better decay properties of the solutions outside the wake region, that appears behind the obstacle during the flow, we also consider anisotropically weighted spaces. An important tool for the investigation of the problem is the study of a linearized problem : the stationary Oseen equations
  • Thematic program: Cell movement and cell transport (2009)

Messoud Efendiyev WPI, Seminarroom C 714 Wed, 28. Oct 09, 14:30
On a new class of PDEs arising in the modelling of biofilms.
We deal with a new class of equations arising in the modelling of biofilms.Based on the experimental observations we will derive these equations.The peculiarity of these equations is that they comprise two kinds of degeneracy:porous medium as well as fast diffusion.Long time dynamics based on the global attractors of such equations as well as biological interpetations are discussed. Some open problems will be discussed.
  • Thematic program: Cell movement and cell transport (2009)

Nicolas Meunier (Paris 5) WPI seminar room Tue, 19. Jan 10, 11:00
Analysis of self-organization systems for cell polarization
In this work, we investigate the dynamics of a modified Keller-Segel type model. On the contrary to the classical configuration, the chemical production term is located on the boundary. In the one-dimensional case and in a particular case in dimension two, we prove, under suitable assumptions, the following dichotomy which is reminiscent of the two-dimensional Keller-Segel system. Solutions are global if the mass is below the critical mass and they blow-up in finite time above the critical mass. Furthermore, in the one-dimensional case, using entropy techniques, we provide quantitative convergence results for the subcritical case. This work is completed with a more realistic model (still one-dimensional) for modeling purpose. In this new setting, the chemical is supplied by a quantity which evolves by exchanging particles at the boundary.
Finally some results are given for the two-dimensional case and we also provide some links with cell polarisation that is an essential step for many biological processes and that is involved for instance in cell migration, division, or morphogenesis.
  • Thematic program: Cell movement and cell transport (2009)
  • WK seminar

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