نتایج جستجو برای: branching point
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introduction as a tumor grows, the demand for oxygen and nutrients increases and it grows further if acquires the ability to induce angiogenesis. in this study, we aimed to present a two-dimensional continuous mathematical model for avascular tumor growth, coupled with a discrete model of angiogenesis. materials and methods in the avascular growth model, tumor is considered as a single mass, wh...
We define a multi-type coalescent point process of a general branching process with countably many types. This multi-type coalescent fully describes the genealogy of the (quasi-stationary) standing population providing types along ancestral lineages of all individuals in the standing population. We show that the coalescent process is a functional of a certain Markov chain defined by the planar ...
2014 The viscosity of randomly branched polymers has been calculated based on an interpolation formula by Marrinan and Hermans, which contains dependent on certain constants both the so called excluded-volumeeffect and the free-draining limit. Closer inspection of the constants used shows that the first choice is better direct near the gel point and yields a logarithmic divergence of the viscos...
First the Branching Space-time and Branching Continuations models are briefly presented. We compare their properties with the traditional definition of a Flow of Time from physics and we point out the difficulties of it in relativistic time. A solution of a Flow of Time in the given models is then
We characterize all random point measures which are in a certain sense stable under the action of branching. Denoting by $\circledast$ branching convolution operation introduced Bertoin and Mallein (2019), $\mathcal{Z}$ law measure on real line, we interested solutions to fixed equation \[ \mathcal E = \mathcal{Z} \circledast E, \] with $\mathcal E$ distribution. Under suitable assumptions, thi...
BACKGROUND An essential phenomenon during brain development is the extension of long collateral branches by axons. How the local cellular environment contributes to the initial sprouting of these branches in specific points of an axonal shaft remains unclear. METHODOLOGY/PRINCIPAL FINDINGS The principal mammillary tract (pm) is a landmark axonal bundle connecting ventral diencephalon to brain...
Internal iliac artery (IIA) shows frequent variations in its branching pattern. We saw variations in the branching pattern of right IIA in a male cadaver. The IIA divided into anterior and posterior divisions. The branches of the anterior division included umbilical artery, inferior vesical artery, obturator artery. The other branches arose from posterior trunk such as iliolumbar, lateral s...
Type I polyketide synthases often use programmed β-branching, via enzymes of a 'hydroxymethylglutaryl-CoA synthase (HCS) cassette', to incorporate various side chains at the second carbon from the terminal carboxylic acid of growing polyketide backbones. We identified a strong sequence motif in acyl carrier proteins (ACPs) where β-branching is known to occur. Substituting ACPs confirmed a corre...
Photographs are obtained of corona discharges in argon at atmospheric pressure using a high resolution, intensified CCD camera. Positive and negative polarity is applied at the curved electrode in a point-plane gap and a plane-plane gap with a protruding point. Branching is observed in the positive point-plane gap but it is much less pronounced than in air probably due to the much lower energy ...
The aim of this paper is two-fold. First we analyze the sequence of intensity measures of a spatial branching point process arising in a multiple target tracking context. We study its stability properties, characterize its long time behavior and provide a series of weak Lipschitz type functional contraction inequalities. Second we design and analyze an original particle scheme to approximate nu...
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