Transmission by laser is a cost-effective way to send signals space vehicles. Signals are encoded so that zeroes and ones recognized different intensity levels at the receiver. The process should be optimized gap in between large enough correct decoding will occur even presence of noise. Global local optimization schemes presented using numerical analytical techniques. results obtained produce wider gaps than those currently available.

Plaques are fatty deposits that grow mainly in arteries and develop as a result of chronic inflammatory response. characterized 'vulnerable' when they have large internal regions necrosis heavily infiltrated by macrophages. The particular composition vulnerable plaque renders it susceptible to rupture, which releases thrombogenic agents into the bloodstream can myocardial infarction. In this paper, we propose mathematical model predict development plaque's necrotic core. By solving coupled...

Media sclerosis (MS) and peripheral artery disease (PAD) may coincide, particularly in type 2 diabetics (T2D) patients with chronic kidney (CKD). In contrast to non-diabetics, T2D PAD is more severe distal. Although MS suspected play a role, the underlying pathophysiological reasons for differences still remain elusive today. We tested hypothesis that promoter of atherosclerosis as it occurs by interfering arterial remodeling using an in-silico simulation. confirmed aggravates promoting...

We investigate the dynamics of a one-dimensional asymmetric exclusion process with Langmuir kinetics and fluctuating wall. At left-hand boundary, particles are injected onto lattice; from there, hop to right. Along lattice, can adsorb or desorb, right-hand boundary is defined by wall particle. The confining particle has intrinsic forward backward hopping, net leftward drift, cannot desorb. Performing Monte Carlo simulations using moving-frame finite segment approach coupled mean field...

When blood vessels undergo remodeling because of the buildup atherosclerotic plaque, it is thought that they first compensatory or outward remodeling, followed by inward remodeling: lumen area stays roughly constant increases slightly and then decreases rapidly. The second phase supposed to start after plaque burden exceeds about 40%. These changes in vessel were observed S. Glagov who examined cross-sections coronary arteries at different stages disease. In this paper, we use a mathematical...

We unify step bunching (SB) instabilities occurring under various conditions on crystal surfaces below roughening. show that when attachment-detachment of atoms at edges is the rate-limiting process, SB interacting, concentric circular steps equivalent to commonly observed interacting straight deposition, desorption, or drift. derive a continuum Lagrangian partial differential equation, which used study onset for steps. These findings place common ground from numerical simulations and...

Damaged or mismatched bases in DNA can be repaired by base excision repair enzymes (BER) that replace the defective base. Although detailed molecular structures of many BER are known, how they colocalize to lesions remains unclear. One hypothesis involves charge transport (CT) along [Yavin et al., Proc. Natl. Acad. Sci. U.S.A. 102, 3546 (2005)]. In this CT mechanism, electrons released recently adsorbed and travel DNA. The scatter (by heterogeneities DNA) back enzyme, destabilizing knocking...

ABSTRACT We propose a distribution‐free entropy‐based methodology to calculate the expected value of an uncertainty reduction effort and present our results within context reducing demand uncertainty. In contrast existing techniques, does not require priori assumptions regarding underlying distribution, sampled observations be mechanism by which is reduced, provides expectation information as opposed upper bound. methodology, decision maker uses his knowledge combined with maximum entropy...

In this paper, we investigate an axisymmetric model of intimal thickening using hyperelasticity theory. Our describes the growth arterial intima due to cell proliferation which, in turn, is driven by release a cytokine such as platelet-derived factor (PDGF). With rate tied both local stress and concentration PDGF, derive quadruple free boundary problem with different regions vessel wall characterized homeostatic stress. We compare our predictions rabbit rodent models atherosclerosis find...

The surface of a nanostructure relaxing on substrate consists finite number interacting steps and often involves the expansion facets. Prior theoretical studies facet evolution have focused models with an infinite steps, which neglect edge effects caused by presence substrate. By considering diffusion adsorbed atoms (adatoms) terraces attachment-detachment at we show that these or height play important role in structure's macroscopic evolution. We assume diffusion-limited kinetics for...

We explore the mathematical and numerical aspects of reconstructing a potential energy profile molecular bond from its rupture time distribution. While reliable reconstruction gross attributes, such as height width an barrier, can be easily extracted single first passage (FPT) distribution, finer structure is ill-conditioned. More careful analysis shows existence optimal amplitudes (represented by effective Peclet number) initial configurations that yield most efficient simple potentials....

The timing of cellular events is inherently random because the probabilistic nature gene expression. Yet cells manage to have precise important events. Here, we study how expression could possibly be regulated precisely schedule an event around a given time. Event modeled as first-passage time (FPT) for protein's level cross critical threshold. Considering auto-regulation possible regulatory mechanism, investigate what form would lead minimum stochasticity in FPT fixed We formulate...

In this paper, we generalize Vasicek's asymptotic single-risk factor solution to multiple factors organized with a particular hierarchical structure. We use model investigate credit portfolio loss. model, the asset returns of company depend on global factor, sector and an idiosyncratic risk factor. All companies share same all within Using central limit theorem, derive closed-form solutions for value-at-risk (VaR) expected shortfall under assumption that number sectors in is large exposures...

Journal Article Reconstruction of a persistent random walk from exit time distributions Get access Pak-Wing Fok, Fok * Department Mathematical Sciences, University Delaware, Newark, DE 19716, USA *Corresponding author: pakwing@udel.edu Search for other works by this author on: Oxford Academic Google Scholar Qunhui Han, Han Tom Chou Departments Biomathematics and Mathematics, UCLA, Los Angeles, CA 90095, IMA Applied Volume 80, Issue 1, February 2015, Pages 1–23,...