ICTS:30018

Video URL

Heartbeats and Flow: Exploring Percolation Theory in Cardiac Cells

Heartbeats and Flow: Exploring Percolation Theory in Cardiac Cells

(2024). Heartbeats and Flow: Exploring Percolation Theory in Cardiac Cells. SciVideos. https://youtu.be/o2fM-MvFTlg

Heartbeats and Flow: Exploring Percolation Theory in Cardiac Cells. SciVideos, Oct. 20, 2024, https://youtu.be/o2fM-MvFTlg 

          @misc{ scivideos_ICTS:30018,
            doi = {},
            url = {https://youtu.be/o2fM-MvFTlg},
            author = {},
            keywords = {},
            language = {en},
            title = {Heartbeats and Flow: Exploring Percolation Theory in Cardiac Cells},
            publisher = {},
            year = {2024},
            month = {oct},
            note = {ICTS:30018 see, \url{https://scivideos.org/icts-tifr/30018}}
          }
Md Aquib Molla
Talk numberICTS:30018
Source RepositoryICTS-TIFR
Source EventDiscrete integrable systems: difference equations, cluster algebras and probabi…
Collection

Abstract

In our study, we model the heart's biological system using percolation on a 2D lattice with three types of cells: Active, Waiting, and Inactive. The system incorporates inhibitory and refractory effects, influenced by two parameters: p_{act}, the probability of a Waiting cell becoming Active, and p_{switch}, the probability of an Inactive cell becoming Waiting. Inactive cells undergo a refractory period before reverting to Waiting.

Our findings show that inhibition raises the percolation threshold, slowing signal propagation. Conversely, reducing the refractory time lowers the threshold and speeds up signal transmission, but it can also trap the signal within the system. We analyzed the distribution of Inactive cells and critical exponents, observing that the Rushbrooke inequality is satisfied.