https://doi.org/10.1140/epjp/s13360-024-05476-6
Regular Article
Interactive fractional-order system dynamics of calcium, IP3 and β-amyloid in neurons
Department of Mathematics, Bioinformatics and Computer Applications, Maulana Azad National Institute of Technology, Madhya Pradesh, 462003, Bhopal, India
Received:
23
June
2024
Accepted:
20
July
2024
Published online:
3
August
2024
The study on individual and independent systems of calcium ([Ca2+]), inositol 1, 4, 5-trisphosphate (IP3), and β-amyloid (Aβ) yields vital insights into many cellular processes in neuronal cells. However, no attempt is reported for the interactive system of [Ca2+], IP3, and Aβ in neuronal cells. Here, a fractional-order model for nonlinear interdependent spatiotemporal dynamics of [Ca2+], IP3, and Aβ has been framed using the Crank–Nicholson (CN) procedure and Grunwald technique along with spatial derivatives and the L1 technique along with temporal derivatives, utilizing the Gauss–Seidel (GS) iterations method. The current framework integrates the reciprocal interaction between [Ca2+] and IP3 and the reciprocal interaction between [Ca2+] and β-amyloid as well as several crucial mechanisms like voltage-gated calcium channel, plasmalemmal [Ca2+]-ATPase, sodium-calcium exchanger, buffer, ryanodine receptor (RyR), STIM-Orai channel, and IP3-receptor (IP3R), etc. The novel insights into the impacts of several crucial processes including superdiffusion, memory causing BM, etc. on the interactive systems of [Ca2+], IP3, and Aβ were examined. Disruptions in the regulation of any cellular event can lead to abnormalities in the [Ca2+], IP3, and Aβ levels, which can contribute to disease-related conditions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
