Chaotic Synchronization of CNNs in Small-World Topology Applied to Data Encryption

Soriano-Sánchez, Allan G.; Posadas–Castillo, C.; Platas-Garza, Miguel Angel; Elizondo-Gonzalez, C.

doi:10.1007/978-3-319-30279-9_14

Cited by 1 publication

(1 citation statement)

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“…A study reporting experimental realizations of a Hindmarsh-Rose neuron model and its synchronization using programmable hardware was introduced in [38]. Finally, the physical implementation on Field Programmable Gate Arrays (FPGAs) of a synchronized network of fractional-order Liu chaotic oscillators was addressed in [39].…”

Section: Introductionmentioning

confidence: 99%

Synchronization of a cluster of $$\beta $$-cells based on a small-world network and its electronic experimental verification

Zambrano-Serrano

Muñoz‐Pacheco

Anzo-Hernández

et al. 2021

Eur. Phys. J. Spec. Top.

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When the bursting electrical activity (BEA) of the β-cells inside Langerhans' islet behave synchronously, the insulin secretes into the bloodstream to regulate the body's glucose levels. Recent advances in pancreas imaging techniques showed that the communication path among β-cells exhibits a small-worldlike organization. Hence, we propose a mathematical model of a cluster composed of β-cells with different BEAs represented by a complex network of nearly identical nodes. Each node describes the dynamics of an isolated β-cell by the Pernarowski model. We analyze the effect of shortest path communication on the synchronization of β-cells with different types of BEA via numerical simulations and electronic circuit experiments. Our results showed that even when the BEA evolves to distinct dynamics among the nodes, the synchronization is achieved. Of particular interest is when a percentage of β-cells (nodes) are silent, i.e., no BEA is generated, which is a typical condition associated with diabetes. In this scenario, we observed that the proposed model predicts that the interaction between silent and active β-cells induces reactivation of the inactive β-cells' electrical activity.

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Section: Introductionmentioning

confidence: 99%