In many applications, objects are reconstructed from cross-sections for visualization, finite element and dynamic analysis. Although cross-section of an object may contain multiple contours, a few papers have dealt with branching problem. Moreover ends of branches are described flatly. In this paper, as a basic study for dynamic analysis of a human knee joint, we present a new modeling method w...

The theory of finite-size scaling explains how the singular behavior of thermodynamic quantities in the critical point of a phase transition emerges when the size of the system becomes infinite. Usually, this theory is presented in a phenomenological way. Here, we exactly demonstrate the existence of a finite-size scaling law for the Galton-Watson branching processes when the number of offsprin...

Recent experimental work in lung morphogenesis has described an elegant pattern of branching phenomena. Two primary forms of branching have been identified: side branching and tip splitting. In our previous study of lung branching morphogenesis, we used a 4 variable partial differential equation (PDE), due to Meinhardt, as our mathematical model to describe the reaction and diffusion of morphog...

We analyze three-body decays of and . Under the factorization approach, there are tree level diagrams for these decay modes and the transition matrix element of decay is factorized into a form factor multiplied by decay constant and form factor multiplied into weak vertices form factor. The transition matrix element of decay is also factorized into a form factor multiplied into weak vertic...

Herein a quenched-flow kinetic technique was applied to calculate the rate constants of 1-hexene and 1-octene oligomerization catalyzed by the Cp2ZrCl2 and Cp2HfCl2/MAO catalyst systems, and subsequently a mechanism for the higher α-olefin oligomerization reaction was proposed. The oligomerization results showed that Zr-based catalyst in the oligomerization of 1-octene had the highest activity ...

Net unfoldings are a well-known partial order semantics for Petri nets, very suited to act as models for branching-time logics interpreted on local states. We demonstrate how these local logics (in particular a distributed-calculus) can be used to express properties from the point of view of one component in a distributed system. Thus { in contrast to interleaving branching time logics { in gen...

Dynamic remodelling of the actin cytoskeleton is required for cell adhesion, motility and migration and can be regulated by tyrosine kinase activity. We identified phosphorylation of the lipid-, calcium-, and actin-binding protein, annexin A2 (AnxA2) at Tyr23 as a primary event preceding v-Src kinase-induced cell scattering and migration. Expression of the phospho-mimicking mutant, Y23E-AnxA2 w...

We propose a deterministic two-scale tissue-cellular approach for modeling growth factor-induced angiogenesis. The bioreaction and diffusion of capillary growth factors (CGF) are modeled at a tissue scale, whereas capillary extension, branching and anastomosis are modeled at a cellular scale. The capillary indicator function is used to bridge these two scales. To solve the equation system numer...

We calculate in the framework of two Higgs doublet models the differential decay rate for inclusive B̄ → τ ν̄ X transitions to order 1/m2b in the heavy quark expansion, for both polarized and unpolarized tau leptons. In contrast to the situation in the standard model, we find sizeable 1/m2b corrections. A systematic heavy quark expansion significantly reduces the theoretical uncertainties in the ...