DSWeb Dynamical Systems Software aims to collect all available software on dynamical systems theory. This project was originally launched during the special year Emerging Applications of Dynamical Systems, 1997/1998, at the Institute for Mathematics and its Applications. The information here includes functionality, platforms, languages, references, and contacts.

Please note that DSWeb is not responsible for any direct, indirect, special, incidental, or consequential damages arising from the use of the content provided here.

CIVET (Current-Inspired Visualization and Evaluation of the TASEP)

Runner-up - DSWeb 2018 Software Contest

Print
CIVET (Current-Inspired Visualization and Evaluation of the TASEP)

The Totally Asymmetric Simple Exclusion Process (TASEP) is a classical stochastic process which has been used to model transport phenomena in various non-equilibrium particle systems in statistical physics, traffic systems, and biology. In the context of mRNA translation, we have recently studied a generalized version of this process, called the inhomogeneous ℓ-TASEP, to provide analytical formulas for the general statistics associated with the particle current and density. More precisely, our methods rely on solving a non-linear PDE that generalizes the Burgers’ equation and describes the average dynamics of the current. This PDE is derived from considering the process in the so-called “hydrodynamic limit”, obtained as the lattice size gets large. These results have the advantage of enabling an immediate quantification of the process and its phase diagram as a function of the different parameters associated with it, which is impossible to achieve via conventional stochastic simulations.

To help mathematicians, physicists and biologists visualize these results and apply them in other contexts, we have developed the present software, which provides a user-friendly and easy-to-run graphical user interface. We provide a stand-alone version available for download at this address: https://github.com/songlab-cal/civet

For any input values of particle size, entrance rate, exit rate, and site-specific hopping rates, CIVET enables a complete visualization and extraction of the main quantities of interest associated with the transport process, such as the current, density, and a full description of the phase diagram associated with different types of traffic behavior. The scope of our visualization might be of interest not only to researchers primarily studying interacting particle and transport systems, but also mathematicians and physicists working in PDEs and dynamical systems, as it leads to identify major shocks, rarefaction waves and ultimately the stationary density achieved in the long time limit for a general conservation law.

Accompanying our software, we provide a user manual which contains an introduction and description of the general features of the software. This manual also contains a tutorial that helps to understand the main properties of the TASEP, and should be used with the demo .csv input files provided with the software. The manual and .csv files can be downloaded at the same address as the software.

Keywordstransport phenomena, stochastic processes, PDE, l-TASEP (Totally Asymmetric Simple Exclusion Process)
Model
  • PDEs
  • Other
Software Type
  • Package
  • Library
Language
  • Python
Platform
  • Unix
  • Linux
  • Windows
  • MacOS
Availability
Contact Person
Categories: Software
Tags:

Please login or register to post comments.

Name:
Email:
Subject:
Message:
x

Software Search