Point island dynamics under fixed rate deposition

We consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics of solutions, we use methods of centre manifold theory, and for globalisation, we employ results from the theories of compartmental systems and of asymptotically autonomous dynamical systems. We also compare our results with those obtained by making the quasi-steady state assumption

Structure and evolutionary origin of the human granzyme H gene

Among the molecules proposed to be involved in cytotoxic T lymphocyte (CTL), natural killer (NK) and lymphokine activated killer (LAK) cell-mediated lysis are the granzymes, a family of serine proteases stored in the cytoplasmic granules of CTLs, NK and LAK cells. In addition to the granzymes A and B, a third member of this family has been cloned in man and designated granzyme H. We present the complete gene sequence including the 5' promoter region and demonstrate that the granzyme H sequence represents a functional gene expressed in activated T cells. Granzyme H shows the highest degree (greater than 54%) of amino acid sequence homology with granzyme B and cathepsin G and, like these genes, consists of five exons separated by introns at equivalent positions. The evolutionary history of granzyme H has been analyzed by reconstructing an evolutionary tree for granzyme sequences. We provide evidence that interlocus recombination between the ancestral genes of granzyme B and granzyme H occurred about 21 million years ago, leading to a replacement of exon 3, intron 3 and part of exon 4 in human granzyme H by human granzyme B sequences. Our results suggest that the ancestral gene of granzyme H is more closely related to cathepsin G and granzyme B than to the murine granzymes C to G. Thus, granzyme H does not represent a human counterpart of the known murine granzymes A to G. It diverged from cathepsin G before mammalian radiation and should, therefore, exist in other mammalian lineages as well

Nonlinear Hyperbolic Conservation Laws

The applied problem: Modeling on continuum physics, chemistry, biology, environment, etc. Areas as gas dynamics, nonlinear elasticity, shallow water theory, geometric optics, magneto-fluid dynamics, kinetic theory, combustion theory, cancer medicine, petroleum engineering, irrigation systems, etc. Applications as optimal shape design (aeronautics, automobiles), noise reduction in cavities and vehicles, flexible structures, seismic waves (earthquakes, tsunamis), laser control in quantum mechanical and molecular systems, chromatography, chemostasis, oil prospection and recovery, cardiovascular system, traffic flow, the Thames barrier, etc