https://doi.org/10.1140/epjp/s13360-025-06599-0
Regular Article
Interactive feedback model of neuronal calcium, 
, and PLC-
1 with dynamic buffering
Department of Mathematics, Bioinformatics and Computer Applications, Maulana Azad National Institute of Technology, 462003, Bhopal, Madhya Pradesh, India
Received:
24
May
2025
Accepted:
27
June
2025
Published online:
15
July
2025
Neuronal calcium (
) is a common intracellular second messenger that interacts with other signaling molecules such as 
(inositol 1,4,5-trisphosphate) and PLC-1 (phospholipase C-1) to support neuronal activity and ensure cell survival. These second messengers form an interconnected network that modulates the function of various receptors and channels. To explore this complex interplay, a comprehensive biophysical and biochemical model has been developed to capture the dynamic regulation of 
, and PLC-1 in neurons. The model incorporates dynamic buffering to provide a more realistic cellular environment. Numerical results are obtained using the Crank–Nicolson method (CNM) and the Gauss–Chebyshev quadrature rule within the finite element method (FEM), chosen for its accuracy and efficiency in integration calculations. This study examines changes in signaling cascades associated with neurodegenerative diseases, focusing on the interaction between second messengers like calcium and PLC-1. It also emphasizes how different parameters and components directly and indirectly influence intracellular calcium homeostasis and PLC-1 activity–essential processes whose disruption contributes significantly to neuronal death.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
