Advertisement

Topics

Exact Solutions for Distributions of First-Passage, Direct-transit, and Looping Times in Symmetric Cusp Potential Barriers and Wells.

08:00 EDT 9th April 2019 | BioPortfolio

Summary of "Exact Solutions for Distributions of First-Passage, Direct-transit, and Looping Times in Symmetric Cusp Potential Barriers and Wells."

For a particle diffusing in one dimension, the distribution of its first-passage time from point a to point b is determined by the durations of the particle trajectories that start from point a and are terminated as soon as they touch point b for the first time. Any such trajectory consists of looping and direct-transit segments. The latter is the final part of the trajectory that leaves point a and goes to point b without returning to point a. The rest of the trajectory is the looping segment that makes numerous loops which begin and end at the same point a without touching point b. In this paper we discuss general relations between the first-passage time distribution and those for the durations of the two segments. These general relations allow us to find exact solutions for the Laplace transforms of the distributions of the first-passage, direct-transit, and looping times for transitions between two points separated by a symmetric cusp potential barrier or well of arbitrary height and depth, respectively. The obtained Laplace transforms are inverted numerically leading to non-trivial dependences of the resulting distributions on the barrier height and the well depth.

Affiliation

Journal Details

This article was published in the following journal.

Name: The journal of physical chemistry. B
ISSN: 1520-5207
Pages:

Links

DeepDyve research library

PubMed Articles [8077 Associated PubMed Articles listed on BioPortfolio]

iCFN: an efficient exact algorithm for multistate protein design.

Multistate protein design addresses real-world challenges, such as multi-specificity design and backbone flexibility, by considering both positive and negative protein states with an ensemble of subst...

Improved power of familywise error rate procedures for discrete data under dependency.

In many applications where it is necessary to test multiple hypotheses simultaneously, the data encountered are discrete. In such cases, it is important for multiplicity adjustment to take into accoun...

Characterization of EPID software for VMAT transit dosimetry.

Dosimetry check (DC) is a commercial software that allows reconstruction of 3D dose distributions using transit electronic portal imaging device (EPID) images. In this work, we evaluated the suitabili...

On the Biomechanics of Cardiac S-looping: insights from modeling and perturbation studies.

Cardiac looping is an important embryonic developmental stage where the primitive heart tube (HT) twists into a configuration that more closely resembles the mature heart. Improper looping leads to co...

Globally optimal volume-trap arrangements for the narrow-capture problem inside a unit sphere.

The determination of statistical characteristics for particles undergoing Brownian motion in constrained domains has multiple applications in various areas of research. This work presents an attempt t...

Clinical Trials [2618 Associated Clinical Trials listed on BioPortfolio]

Gastrointestinal Motility Among Diabetic Patients

Gastrointestinal (GI) symptoms including vomiting, nausea, abdominal pain, constipation or chronic diarrhea affect a large number of patients with diabetes mellitus (DM). Furthermore, abno...

Gut Transit Effect on Enterohepatic Circulation

A study to determine the influence of changing intestinal transit time of the enterohepatic recirculation of bile acids.

A Study Comparing Shared Solutions® Plus MS Center Support Versus Shared Solutions® Alone

To compare the effectiveness of a 90-day Copaxone® adherence enhancement program for a sample of MS patients who are at high risk of nonadherence and receive support from Shared Solutions...

Effect of Methylnaltrexone on GI Transit in Healthy Volunteers

This is a single-center, randomized, double blind, placebo-controlled study evaluating the effects of placebo, codeine, methylnaltrexone and codeine with methylnaltrexone on gastrointesti...

Conventional Intubation Versus VivaSight™-SL

It has been shown that videolaryngoscopy may be superior to direct laryngoscopy for endotracheal intubation in intensive care. Recently, an endotracheal tube with an integrated camera at i...

Medical and Biotech [MESH] Definitions

Passage of food (sometimes in the form of a test meal) through the gastrointestinal tract as measured in minutes or hours. The rate of passage through the intestine is an indicator of small bowel function.

Sterile solutions, essentially free from foreign particles and suitably compounded and dispensed, for instillation into the eye. It does not include solutions for cleaning eyeglasses or CONTACT LENS SOLUTIONS. (From Dorland, 27th ed)

Specialized junctions between NEURONS which connect the cytoplasm of one neuron to another allowing direct passage of an ion current.

Surgical shunt allowing direct passage of blood from an artery to a vein. (From Dorland, 28th ed)

Solutions used to store organs and minimize tissue damage, particularly while awaiting implantation.

Advertisement
Quick Search
Advertisement
Advertisement

 


DeepDyve research library

Searches Linking to this Article