Dynamical behavior of pancreatic β cells with memductance flux coupling: Considering nodal properties and wave propagation in the excitable media

Karthikeyan Rajgopal, Anitha Karthikeyan and Varun Raj V.R.

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: The bursting oscillation modes of the pancreatic β cells releases insulin for regulating the glucose level in blood. We modified the Pernarowski’s pancreatic beta cell model by introducing electromagnetic flux since the electrical coupling between the cells induce and exchange magnetic flux effect while it is in a network. Influence of the magnetic flux in dynamics of the electrical activities particularly bursting behavior is studied. we derived the bifurcation plot and calculated the Lyapunov exponent to identify the parameter range, the system oscillating in chaotic region. The bifurcation plot for magnetic flux coefficient and its corresponding Lyapunov spectrum are presented to describe the transition of the system from chaotic bursting to periodic bursting. Significance of the magnetic flux on the modified system is discussed and revealed the influence on dynamical changes. Lyapunov exponents of the two major parameters is presented for understanding the effect of flux on existing parameters. To reinforce the investigation we adopted Hamiltonian energy method and the level of energy accumulation for different states are plotted. A lattice array of NXN is formulated to study the dynamics of the network. The simulation results of the network for different values of the flux coupling coefficient unrevealing the transition of regular pattern into turbulent waves and reduction in amplitude. The provide a better understanding the mechanism of transformation from chaotic bursting to periodic bursting phenomena, we used sample entropy. The complexity changes in every node is captured and plotted for different values of the magnetic flux coefficient. The obtained results described the dynamical changes of the pancreatic beta cells while it exposed to magnetic flux, the chaotic oscillation of the nodes are suppressed as the flux increased. In a network, regular patterns are broken down and turbulent waves bring down the chaotic bursting into periodic bursting. Finally we provided a potential future direction to proceed the research work further.

Keywords: Pancreatic beta cells; Electromagnetic flux; Memductance function; Hamiltonian energy; Network dynamics (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010360

DOI: 10.1016/j.chaos.2022.112857

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