Track topics on Twitter Track topics that are important to you
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.
This article was published in the following journal.
Name: The journal of physical chemistry. B
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...
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...
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...
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...
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...
Gastrointestinal (GI) symptoms including vomiting, nausea, abdominal pain, constipation or chronic diarrhea affect a large number of patients with diabetes mellitus (DM). Furthermore, abno...
A study to determine the influence of changing intestinal transit time of the enterohepatic recirculation of bile acids.
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...
This is a single-center, randomized, double blind, placebo-controlled study evaluating the effects of placebo, codeine, methylnaltrexone and codeine with methylnaltrexone on gastrointesti...
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...
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.