A Simple Model to Explore Half-Sarcomere Inhomogeneity in a Myofibril

A Study of Myofibril Sarcomere Structure during Contraction

In the present investigation of cross-striated muscle fibers of axolotl, we succeeded in observing in one field of vision of the electron microscope all the stages of myofibril contraction. This allowed us to avoid errors in establishing the sequence of individual contraction stages. Our studies reveal a new contraction stage which appears at the shortening of the sarcomere below 74 per cent of...

A Coarse-grained Model of the Myofibril: Overall Dynamics and the Evolution of Sarcomere Non-uniformities

A theoretical framework for predicting the macroscopic behavior of a muscle myofibril based on the collective behavior of sarcomeres is presented. The analysis is accomplished by rigorously transforming the nonlinear dynamics of an assemblage of sarcomeres into a partial differential equation for the probability distribution function of sarcomere lengths in the presence of stochastic temporal f...

Asymmetric simple exclusion model with local inhomogeneity

We study a totally asymmetric simple exclusion model with open boundary conditions and a local inhomogeneity in the bulk. It consists of a one-dimensional lattice with particles hopping stochastically with equal rates to the right at all lattice sites except one where the jump rate is different. Approximate stationary-state solutions and phase diagrams are obtained and compared with Monte Carlo...

Numerical Analysis of a Simple Mathematical Model to Design Bioremediation System in Rhizosphere

A Simple Analytic Method to Model and Detect Non-Uniform Air-Gaps in Synchronous Generators

The air-gap of electrical machines may become non-uniform due to low accuracy of the manufacturing machinery, in assembling processes, or by aging. Detection and monitoring of this phenomenon is very important and of interest. There are several methods to model non-uniform air-gaps and to detect them by monitoring systems. One of the most widely used methods is by the analysis of the line curre...