{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,22]],"date-time":"2026-10-22T17:41:53Z","timestamp":1792690913626,"version":"4.5.0"},"reference-count":63,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2026,10,22]],"date-time":"2026-10-22T00:00:00Z","timestamp":1792627200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,10,22]],"date-time":"2026-10-22T00:00:00Z","timestamp":1792627200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cogn Neurodyn"],"published-print":{"date-parts":[[2026,12]]},"DOI":"10.1007\/s11571-026-10572-7","type":"journal-article","created":{"date-parts":[[2026,10,22]],"date-time":"2026-10-22T16:56:27Z","timestamp":1792688187000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A fractional order model for amyloid beta driven astrocyte calcium signaling"],"prefix":"10.1007","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8138-0951","authenticated-orcid":false,"given":"Rana Meet","family":"Nileshkumar","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9370-2949","authenticated-orcid":false,"given":"Brajesh Kumar","family":"Jha","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,10,22]]},"reference":[{"issue":"12","key":"10572_CR1","doi-asserted-by":"publisher","first-page":"2430","DOI":"10.1002\/jnr.24075","volume":"95","author":"C Acosta","year":"2017","unstructured":"Acosta C, Anderson HD, Anderson CM (2017) Astrocyte dysfunction in alzheimer disease. J Neurosci Res 95(12):2430\u20132447. https:\/\/doi.org\/10.1002\/jnr.24075","journal-title":"J Neurosci Res"},{"issue":"110","key":"10572_CR2","doi-asserted-by":"publisher","first-page":"610","DOI":"10.1016\/j.chaos.2020.110610","volume":"143","author":"R Agarwal","year":"2021","unstructured":"Agarwal R, Purohit SD et al (2021) Mathematical model pertaining to the effect of buffer over cytosolic calcium concentration distribution. Chaos Solit Fractals 143(110):610. https:\/\/doi.org\/10.1016\/j.chaos.2020.110610","journal-title":"Chaos Solit Fractals"},{"key":"10572_CR3","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.neuroscience.2019.09.041","volume":"421","author":"VS Alves","year":"2019","unstructured":"Alves VS, Alves-Silva HS, Orts DJ, Ribeiro-Silva L, Arcisio-Miranda M, Oliveira FA (2019) Calcium signaling in neurons and glial cells: role of cav1 channels. Neuroscience 421:95\u2013111. https:\/\/doi.org\/10.1016\/j.neuroscience.2019.09.041","journal-title":"Neuroscience"},{"issue":"06","key":"10572_CR4","doi-asserted-by":"publisher","first-page":"2350","DOI":"10.1142\/S1793524523500547","volume":"17","author":"H Bhardwaj","year":"2024","unstructured":"Bhardwaj H, Adlakha N (2024) Fractional order reaction diffusion of calcium regulating nfat production in t lymphocyte. Int J Biomath 17(06):2350. https:\/\/doi.org\/10.1142\/S1793524523500547","journal-title":"Int J Biomath"},{"issue":"1","key":"10572_CR5","doi-asserted-by":"publisher","first-page":"2217","DOI":"10.1080\/27690911.2023.2217323","volume":"31","author":"S Bhatter","year":"2023","unstructured":"Bhatter S, Jangid K, Kumawat S, Purohit SD, Baleanu D, Suthar D (2023) A generalized study of the distribution of buffer over calcium on a fractional dimension. Appl math sci eng 31(1):2217. https:\/\/doi.org\/10.1080\/27690911.2023.2217323","journal-title":"Appl math sci eng"},{"issue":"8","key":"10572_CR6","doi-asserted-by":"publisher","first-page":"914","DOI":"10.3390\/math9080914","volume":"9","author":"O Brandibur","year":"2021","unstructured":"Brandibur O, Garrappa R, Kaslik E (2021) Stability of systems of fractional-order differential equations with caputo derivatives. Mathematics 9(8):914. https:\/\/doi.org\/10.3390\/math9080914","journal-title":"Mathematics"},{"issue":"4","key":"10572_CR7","doi-asserted-by":"publisher","first-page":"2734","DOI":"10.1016\/s0006-3495(03)75079-6","volume":"84","author":"S Cortassa","year":"2003","unstructured":"Cortassa S, Aon MA, Marb\u00e1n E, Winslow RL, O\u2019Rourke B (2003) An integrated model of cardiac mitochondrial energy metabolism and calcium dynamics. Biophys J 84(4):2734\u20132755. https:\/\/doi.org\/10.1016\/s0006-3495(03)75079-6","journal-title":"Biophys J"},{"issue":"1","key":"10572_CR8","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1007\/s12539-020-00401-8","volume":"13","author":"DD Dave","year":"2021","unstructured":"Dave DD, Jha BK (2021) Mathematical modeling of calcium oscillatory patterns in a neuron. Interdiscip Sci Comput Life Sci 13(1):12\u201324. https:\/\/doi.org\/10.1007\/s12539-020-00401-8","journal-title":"Interdiscip Sci Comput Life Sci"},{"issue":"20","key":"10572_CR9","doi-asserted-by":"publisher","first-page":"9895","DOI":"10.1073\/pnas.89.20.9895","volume":"89","author":"GW De Young","year":"1992","unstructured":"De Young GW, Keizer J (1992) A single-pool inositol 1, 4, 5-trisphosphate-receptor-based model for agonist-stimulated oscillations in ca2+ concentration. Proc Natl Acad Sci 89(20):9895\u20139899. https:\/\/doi.org\/10.1073\/pnas.89.20.9895","journal-title":"Proc Natl Acad Sci"},{"issue":"1\u20133","key":"10572_CR10","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.biosystems.2006.05.013","volume":"89","author":"A Di Garbo","year":"2007","unstructured":"Di Garbo A, Barbi M, Chillemi S, Alloisio S, Nobile M (2007) Calcium signalling in astrocytes and modulation of neural activity. Biosystems 89(1\u20133):74\u201383. https:\/\/doi.org\/10.1016\/j.biosystems.2006.05.013","journal-title":"Biosystems"},{"issue":"3","key":"10572_CR11","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1023\/A:1021973025166","volume":"42","author":"K Diethelm","year":"2002","unstructured":"Diethelm K, Ford J (2002) Numerical solution of the bagley-torvik equation. BIT Numer Math 42(3):490\u2013507. https:\/\/doi.org\/10.1023\/A:1021973025166","journal-title":"BIT Numer Math"},{"key":"10572_CR12","doi-asserted-by":"publisher","unstructured":"Diethelm K, Freed AD (1999) On the solution of nonlinear fractional-order differential equations used in the modeling of viscoplasticity. In: Scientific computing in chemical engineering II: computational fluid dynamics, reaction engineering, and molecular properties, Springer, pp 217\u2013224, https:\/\/doi.org\/10.1007\/978-3-642-60185-9_24","DOI":"10.1007\/978-3-642-60185-9_24"},{"issue":"1","key":"10572_CR13","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1023\/A:1016592219341","volume":"29","author":"K Diethelm","year":"2002","unstructured":"Diethelm K, Ford NJ, Freed AD (2002) A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dyn 29(1):3\u201322. https:\/\/doi.org\/10.1023\/A:1016592219341","journal-title":"Nonlinear Dyn"},{"key":"10572_CR14","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1016\/j.apm.2017.11.002","volume":"55","author":"X Ding","year":"2018","unstructured":"Ding X, Zhang X, Ji L (2018) Contribution of calcium fluxes to astrocyte spontaneous calcium oscillations in deterministic and stochastic models. Appl Math Model 55:371\u2013382. https:\/\/doi.org\/10.1016\/j.apm.2017.11.002","journal-title":"Appl Math Model"},{"issue":"4","key":"10572_CR15","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1016\/0143-4160(93)90052-8","volume":"14","author":"G Dupont","year":"1993","unstructured":"Dupont G, Goldbeter A (1993) One-pool model for ca2+ oscillations involving ca2+ and inositol 1, 4, 5-trisphosphate as co-agonists for ca2+ release. Cell Calcium 14(4):311\u2013322. https:\/\/doi.org\/10.1016\/0143-4160(93)90052-8","journal-title":"Cell Calcium"},{"issue":"2\u20133","key":"10572_CR16","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/0143-4160(91)90010-C","volume":"12","author":"G Dupont","year":"1991","unstructured":"Dupont G, Berridge M, Goldbeter A (1991) Signal-induced ca2+ oscillations: properties of a model based on ca2+-induced ca2+ release. Cell Calcium 12(2\u20133):73\u201385. https:\/\/doi.org\/10.1016\/0143-4160(91)90010-C","journal-title":"Cell Calcium"},{"issue":"2","key":"10572_CR17","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1006\/jtbi.2000.2292","volume":"210","author":"CP Fall","year":"2001","unstructured":"Fall CP, Keizer JE (2001) Mitochondrial modulation of intracellular ca2+ signaling. J Theor Biol 210(2):151\u2013165. https:\/\/doi.org\/10.1006\/jtbi.2000.2292","journal-title":"J Theor Biol"},{"issue":"1138","key":"10572_CR18","doi-asserted-by":"publisher","first-page":"577","DOI":"10.3389\/fnsyn.2023.1138577","volume":"15","author":"J Goenaga","year":"2023","unstructured":"Goenaga J, Araque A, Kofuji P, Herrera Moro Chao D (2023) Calcium signaling in astrocytes and gliotransmitter release. Front Synaptic Neurosci 15(1138):577. https:\/\/doi.org\/10.3389\/fnsyn.2023.1138577","journal-title":"Front Synaptic Neurosci"},{"issue":"4","key":"10572_CR19","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","volume":"117","author":"AL Hodgkin","year":"1952","unstructured":"Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol 117(4):500\u2013544. https:\/\/doi.org\/10.1113\/jphysiol.1952.sp004764","journal-title":"J Physiol"},{"issue":"5","key":"10572_CR20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1140\/epjp\/s13360-023-03961-y","volume":"138","author":"Y Jagtap","year":"2023","unstructured":"Jagtap Y, Adlakha N (2023) Numerical model of hepatic glycogen phosphorylase regulation by nonlinear interdependent dynamics of calcium and $$ip_3$$. Eur Phys J Plus 138(5):1\u201313. https:\/\/doi.org\/10.1140\/epjp\/s13360-023-03961-y","journal-title":"Eur Phys J Plus"},{"issue":"4","key":"10572_CR21","doi-asserted-by":"publisher","first-page":"376","DOI":"10.53391\/mmnsa.1398320","volume":"3","author":"H Jethanandani","year":"2023","unstructured":"Jethanandani H, Jha BK, Ubale M (2023) The role of calcium dynamics with amyloid beta on neuron-astrocyte coupling. Math Model Numer Simul Appl 3(4):376\u2013390. https:\/\/doi.org\/10.53391\/mmnsa.1398320","journal-title":"Math Model Numer Simul Appl"},{"issue":"02","key":"10572_CR22","doi-asserted-by":"publisher","first-page":"1650","DOI":"10.1142\/S0219519416500184","volume":"16","author":"A Jha","year":"2016","unstructured":"Jha A, Adlakha N, Jha BK (2016) Finite element model to study effect of na+- ca 2+ exchangers and source geometry on calcium dynamics in a neuron cell. J Mech Med Biol 16(02):1650. https:\/\/doi.org\/10.1142\/S0219519416500184","journal-title":"J Mech Med Biol"},{"issue":"03","key":"10572_CR23","doi-asserted-by":"publisher","first-page":"1450","DOI":"10.1142\/S1793524514500314","volume":"7","author":"BK Jha","year":"2014","unstructured":"Jha BK, Adlakha N, Mehta M (2014) Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. Int J Biomath 7(03):1450. https:\/\/doi.org\/10.1142\/S1793524514500314","journal-title":"Int J Biomath"},{"issue":"2","key":"10572_CR24","first-page":"731","volume":"13","author":"H Joshi","year":"2022","unstructured":"Joshi H, Jha BK (2022) Advection diffusion model to study the astrocyte calcium regulation in neurodegenerative disease. Math Eng Sci Aerosp (MESA) 13(2):731\u2013739","journal-title":"Math Eng Sci Aerosp (MESA)"},{"key":"10572_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-83217-8","author":"JP Keener","year":"2009","unstructured":"Keener JP, Sneyd J (2009) Mathematical physiology 1: cellular physiology. Springer New York. https:\/\/doi.org\/10.1007\/978-3-031-83217-8","journal-title":"Springer New York"},{"issue":"6","key":"10572_CR26","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1140\/epjp\/s13360-024-05315-8","volume":"139","author":"A Kothiya","year":"2024","unstructured":"Kothiya A, Adlakha N (2024) Modeling the interplay in spatiotemporal dynamics of calcium, ip 3, and phospholipase c-$$\\gamma $$ l in a fibroblast cell. Eur Phys J Plus 139(6):525. https:\/\/doi.org\/10.1140\/epjp\/s13360-024-05315-8","journal-title":"Eur Phys J Plus"},{"issue":"4","key":"10572_CR27","doi-asserted-by":"publisher","first-page":"184","DOI":"10.3390\/fractalfract8040184","volume":"8","author":"D Kumar","year":"2024","unstructured":"Kumar D, Nama H, Singh J, Kumar J (2024) An efficient numerical scheme for fractional order mathematical model of cytosolic calcium ion in astrocytes. Fractal Fract 8(4):184. https:\/\/doi.org\/10.3390\/fractalfract8040184","journal-title":"Fractal Fract"},{"issue":"8","key":"10572_CR28","doi-asserted-by":"publisher","first-page":"e0202","DOI":"10.1371\/journal.pone.0202503","volume":"13","author":"J Latulippe","year":"2018","unstructured":"Latulippe J, Lotito D, Murby D (2018) A mathematical model for the effects of amyloid beta on intracellular calcium. PLoS ONE 13(8):e0202. https:\/\/doi.org\/10.1371\/journal.pone.0202503","journal-title":"PLoS ONE"},{"issue":"4","key":"10572_CR29","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1016\/j.jtbi.2007.12.011","volume":"251","author":"M Lavrentovich","year":"2008","unstructured":"Lavrentovich M, Hemkin S (2008) A mathematical model of spontaneous calcium (ii) oscillations in astrocytes. J Theor Biol 251(4):553\u2013560. https:\/\/doi.org\/10.1016\/j.jtbi.2007.12.011","journal-title":"J Theor Biol"},{"issue":"6","key":"10572_CR30","doi-asserted-by":"publisher","first-page":"e70","DOI":"10.1111\/jnc.70470","volume":"170","author":"K Lenk","year":"2026","unstructured":"Lenk K, Zeug A, M\u00fcller FE (2026) Calcium buffering in astrocytes and its relevance for experimental data interpretation and computational modeling. J Neurochem 170(6):e70. https:\/\/doi.org\/10.1111\/jnc.70470","journal-title":"J Neurochem"},{"issue":"10","key":"10572_CR31","doi-asserted-by":"publisher","first-page":"e48","DOI":"10.1371\/journal.pone.0048534","volume":"7","author":"B Li","year":"2012","unstructured":"Li B, Chen S, Zeng S, Luo Q, Li P (2012) Modeling the contributions of ca2+ flows to spontaneous ca2+ oscillations and cortical spreading depression-triggered ca2+ waves in astrocyte networks. PLoS ONE 7(10):e48. https:\/\/doi.org\/10.1371\/journal.pone.0048534","journal-title":"PLoS ONE"},{"issue":"6","key":"10572_CR32","doi-asserted-by":"publisher","first-page":"3401","DOI":"10.1007\/s11571-024-10064-6","volume":"18","author":"Y Li","year":"2024","unstructured":"Li Y, Yang X (2024) A $$\\beta $$-mediated synaptic glutamate dynamics and calcium dynamics in astrocytes associated with alzheimer\u2019s disease. Cogn Neurodyn 18(6):3401\u20133426. https:\/\/doi.org\/10.1007\/s11571-024-10064-6","journal-title":"Cogn Neurodyn"},{"issue":"7","key":"10572_CR33","doi-asserted-by":"publisher","first-page":"073","DOI":"10.1063\/5.0263923","volume":"35","author":"Y Li","year":"2025","unstructured":"Li Y, Yang X, Yan S, Yang H (2025) A$$\\beta $$-mediated multiscale study of spontaneous calcium dynamics in astrocytes. Chaos An Interdisc J Nonlinear Sci 35(7):073. https:\/\/doi.org\/10.1063\/5.0263923","journal-title":"Chaos An Interdisc J Nonlinear Sci"},{"issue":"4","key":"10572_CR34","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1006\/jtbi.1994.1041","volume":"166","author":"YX Li","year":"1994","unstructured":"Li YX, Rinzel J (1994) Equations for insp3 receptor-mediated [ca2+] i oscillations derived from a detailed kinetic model: a hodgkin-huxley like formalism. J Theor Biol 166(4):461\u2013473. https:\/\/doi.org\/10.1006\/jtbi.1994.1041","journal-title":"J Theor Biol"},{"issue":"767","key":"10572_CR35","doi-asserted-by":"publisher","first-page":"892","DOI":"10.3389\/fphys.2021.767892","volume":"12","author":"L Liu","year":"2021","unstructured":"Liu L, Gao H, Zaikin A, Chen S (2021) Unraveling a$$\\beta $$-mediated multi-pathway calcium dynamics in astrocytes: implications for alzheimer\u2019s disease treatment from simulations. Front Physiol 12(767):892. https:\/\/doi.org\/10.3389\/fphys.2021.767892","journal-title":"Front Physiol"},{"issue":"2","key":"10572_CR36","doi-asserted-by":"publisher","first-page":"C717","DOI":"10.1152\/ajpcell.1997.273.2.C717","volume":"273","author":"G Magnus","year":"1997","unstructured":"Magnus G, Keizer J (1997) Minimal model of beta-cell mitochondrial ca2+ handling. Am J Physiol Cell Physiol 273(2):C717\u2013C733. https:\/\/doi.org\/10.1152\/ajpcell.1997.273.2.C717","journal-title":"Am J Physiol Cell Physiol"},{"issue":"3","key":"10572_CR37","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1007\/s12038-014-9430-3","volume":"39","author":"N Manhas","year":"2014","unstructured":"Manhas N, Sneyd J, Pardasani K (2014) Modelling the transition from simple to complex ca2+ oscillations in pancreatic acinar cells. J Biosci 39(3):463\u2013484. https:\/\/doi.org\/10.1007\/s12038-014-9430-3","journal-title":"J Biosci"},{"issue":"2\u20133","key":"10572_CR38","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/S0301-4622(97)00139-7","volume":"71","author":"M Marhl","year":"1998","unstructured":"Marhl M, Schuster S, Brumen M (1998) Mitochondria as an important factor in the maintenance of constant amplitudes of cytosolic calcium oscillations. Biophys Chem 71(2\u20133):125\u2013132. https:\/\/doi.org\/10.1016\/S0301-4622(97)00139-7","journal-title":"Biophys Chem"},{"issue":"2","key":"10572_CR39","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/S0303-2647(00)00090-3","volume":"57","author":"M Marhl","year":"2000","unstructured":"Marhl M, Haberichter T, Brumen M, Heinrich R (2000) Complex calcium oscillations and the role of mitochondria and cytosolic proteins. Biosystems 57(2):75\u201386. https:\/\/doi.org\/10.1016\/S0303-2647(00)00090-3","journal-title":"Biosystems"},{"key":"10572_CR40","first-page":"963","volume":"2","author":"D Matignon","year":"1996","unstructured":"Matignon D (1996) Stability results for fractional differential equations with applications to control processing. Comput Eng Syst Appl Lille France 2:963\u2013968","journal-title":"Comput Eng Syst Appl Lille France"},{"issue":"4","key":"10572_CR41","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1007\/s10863-023-09973-8","volume":"55","author":"V Mishra","year":"2023","unstructured":"Mishra V, Adlakha N (2023) Spatio temporal interdependent calcium and buffer dynamics regulating dag in a hepatocyte cell due to obesity. J Bioenerg Biomembr 55(4):249\u2013266. https:\/\/doi.org\/10.1007\/s10863-023-09973-8","journal-title":"J Bioenerg Biomembr"},{"issue":"1","key":"10572_CR42","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1038\/s41598-019-53440-7","volume":"9","author":"A Moshkforoush","year":"2019","unstructured":"Moshkforoush A, Ashenagar B, Tsoukias NM, Alevriadou BR (2019) Modeling the role of endoplasmic reticulum-mitochondria microdomains in calcium dynamics. Sci Rep 9(1):17. https:\/\/doi.org\/10.1038\/s41598-019-53440-7","journal-title":"Sci Rep"},{"issue":"2","key":"10572_CR43","doi-asserted-by":"publisher","first-page":"e1008","DOI":"10.1371\/journal.pcbi.1008648","volume":"17","author":"A Moshkforoush","year":"2021","unstructured":"Moshkforoush A, Balachandar L, Moncion C, Montejo KA, Riera J (2021) Unraveling chr2-driven stochastic ca2+ dynamics in astrocytes: a call for new interventional paradigms. PLoS Comput Biol 17(2):e1008. https:\/\/doi.org\/10.1371\/journal.pcbi.1008648","journal-title":"PLoS Comput Biol"},{"issue":"05","key":"10572_CR44","doi-asserted-by":"publisher","first-page":"2050","DOI":"10.1142\/S1793524520500382","volume":"13","author":"PA Naik","year":"2020","unstructured":"Naik PA (2020) Modeling the mechanics of calcium regulation in t lymphocyte: a finite element method approach. Int J Biomath 13(05):2050. https:\/\/doi.org\/10.1142\/S1793524520500382","journal-title":"Int J Biomath"},{"issue":"01","key":"10572_CR45","doi-asserted-by":"publisher","first-page":"1850","DOI":"10.1142\/S0219876218500913","volume":"16","author":"PA Naik","year":"2019","unstructured":"Naik PA, Pardasani KR (2019) Three-dimensional finite element model to study effect of ryr calcium channel, er leak and serca pump on calcium distribution in oocyte cell. Int J Comput Methods 16(01):1850. https:\/\/doi.org\/10.1142\/S0219876218500913","journal-title":"Int J Comput Methods"},{"issue":"3","key":"10572_CR46","doi-asserted-by":"publisher","first-page":"374","DOI":"10.1166\/jmihi.2013.1184","volume":"3","author":"S Panday","year":"2013","unstructured":"Panday S, Pardasani KR (2013) Finite element model to study effect of advection diffusion and na+\/ca2+ exchanger on ca2+ distribution in oocytes. J Med Imaging Health Infor 3(3):374\u2013379. https:\/\/doi.org\/10.1166\/jmihi.2013.1184","journal-title":"J Med Imaging Health Infor"},{"issue":"8","key":"10572_CR47","doi-asserted-by":"publisher","first-page":"085","DOI":"10.1088\/1402-4896\/ace1b2","volume":"98","author":"A Pawar","year":"2023","unstructured":"Pawar A, Pardasani KR (2023) Fractional order interdependent nonlinear chaotic spatiotemporal calcium and a $$\\beta $$ dynamics in a neuron cell. Phys Scr 98(8):085. https:\/\/doi.org\/10.1088\/1402-4896\/ace1b2","journal-title":"Phys Scr"},{"issue":"9","key":"10572_CR48","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1140\/epjp\/s13360-023-04410-6","volume":"138","author":"A Pawar","year":"2023","unstructured":"Pawar A, Pardasani KR (2023) Fractional-order reaction-diffusion model to study the dysregulatory impacts of superdiffusion and memory on neuronal calcium and ip3 dynamics. Eur Phys J Plus 138(9):1\u201317. https:\/\/doi.org\/10.1140\/epjp\/s13360-023-04410-6","journal-title":"Eur Phys J Plus"},{"key":"10572_CR49","unstructured":"Podlubny I (1998) Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier"},{"issue":"126","key":"10572_CR50","doi-asserted-by":"publisher","first-page":"861","DOI":"10.1016\/j.eswa.2025.126861","volume":"276","author":"D Pradhan","year":"2025","unstructured":"Pradhan D, Upadhyay RK (2025) Deciphering the calcium dynamics of a fractional order alzheimer\u2019s disease model in astrocytes and their networks. Expert Syst Appl 276(126):861. https:\/\/doi.org\/10.1016\/j.eswa.2025.126861","journal-title":"Expert Syst Appl"},{"issue":"6","key":"10572_CR51","doi-asserted-by":"publisher","first-page":"556","DOI":"10.1140\/epjp\/s13360-024-05347-0","volume":"139","author":"N Singh","year":"2024","unstructured":"Singh N, Adlakha N (2024) Alteration of cardiomyocyte apoptosis by nonlinear advection-diffusion dynamics of calcium and inositol 1, 4, 5-trisphosphate. Eur Phys J Plus 139(6):556. https:\/\/doi.org\/10.1140\/epjp\/s13360-024-05347-0","journal-title":"Eur Phys J Plus"},{"issue":"7","key":"10572_CR52","doi-asserted-by":"publisher","first-page":"664","DOI":"10.1140\/epjp\/s13360-025-06599-0","volume":"140","author":"SR Solanki","year":"2025","unstructured":"Solanki SR, Pardasani KR (2025) Interactive feedback model of neuronal calcium, ip 3, and plc-$$\\gamma $$ 1 with dynamic buffering. Eur Phys J Plus 140(7):664. https:\/\/doi.org\/10.1140\/epjp\/s13360-025-06599-0","journal-title":"Eur Phys J Plus"},{"key":"10572_CR53","unstructured":"Squire L, Berg D, Bloom FE, Du Lac S, Ghosh A, Spitzer NC (2012) Fundamental neuroscience. Academic press"},{"issue":"3","key":"10572_CR54","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1007\/s10867-012-9267-7","volume":"38","author":"SG Tewari","year":"2012","unstructured":"Tewari SG, Majumdar KK (2012) A mathematical model of the tripartite synapse: astrocyte-induced synaptic plasticity. J Biol Phys 38(3):465\u2013496. https:\/\/doi.org\/10.1007\/s10867-012-9267-7","journal-title":"J Biol Phys"},{"issue":"3","key":"10572_CR55","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/j.ceca.2005.10.009","volume":"39","author":"G Ullah","year":"2006","unstructured":"Ullah G, Jung P, Cornell-Bell AH (2006) Anti-phase calcium oscillations in astrocytes via inositol (1, 4, 5)-trisphosphate regeneration. Cell Calcium 39(3):197\u2013208. https:\/\/doi.org\/10.1016\/j.ceca.2005.10.009","journal-title":"Cell Calcium"},{"issue":"1","key":"10572_CR56","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1007\/s10441-024-09477-x","volume":"72","author":"AN Vaishali","year":"2024","unstructured":"Vaishali AN (2024) Model of calcium dynamics regulating ip 3, atp and insulin production in a pancreatic $$\\beta $$-cell. Acta Biotheor 72(1):2. https:\/\/doi.org\/10.1007\/s10441-024-09477-x","journal-title":"Acta Biotheor"},{"issue":"5","key":"10572_CR57","doi-asserted-by":"publisher","first-page":"1372","DOI":"10.3934\/dcdss.2024212","volume":"18","author":"VH Vatsal","year":"2025","unstructured":"Vatsal VH, Jha BK, Singh TP (2025) Unraveling the fractional dynamics of calcium ions for the er and membrane in the presence of amyloid beta pore. Discrete Contin Dyn Syst - S 18(5):1372\u20131391. https:\/\/doi.org\/10.3934\/dcdss.2024212","journal-title":"Discrete Contin Dyn Syst - S"},{"issue":"3","key":"10572_CR58","doi-asserted-by":"publisher","first-page":"699","DOI":"10.3233\/jad-2010-101089","volume":"22","author":"AJ Vincent","year":"2010","unstructured":"Vincent AJ, Gasperini R, Foa L, Small DH (2010) Astrocytes in alzheimer\u2019s disease: emerging roles in calcium dysregulation and synaptic plasticity. J Alzheimers Dis 22(3):699\u2013714. https:\/\/doi.org\/10.3233\/jad-2010-101089","journal-title":"J Alzheimers Dis"},{"issue":"3","key":"10572_CR59","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1016\/j.isci.2024.109078","volume":"27","author":"V Voorsluijs","year":"2024","unstructured":"Voorsluijs V, Avanzini F, Falasco G, Esposito M, Skupin A (2024) Calcium oscillations optimize the energetic efficiency of mitochondrial metabolism. Iscience 27(3):109. https:\/\/doi.org\/10.1016\/j.isci.2024.109078","journal-title":"Iscience"},{"issue":"1","key":"10572_CR60","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1038\/srep19316","volume":"6","author":"B Wacquier","year":"2016","unstructured":"Wacquier B, Combettes L, Van Nhieu GT, Dupont G (2016) Interplay between intracellular ca2+ oscillations and ca2+-stimulated mitochondrial metabolism. Sci Rep 6(1):19. https:\/\/doi.org\/10.1038\/srep19316","journal-title":"Sci Rep"},{"issue":"9","key":"10572_CR61","doi-asserted-by":"publisher","first-page":"2429","DOI":"10.1016\/j.bpj.2009.08.030","volume":"97","author":"S Zeng","year":"2009","unstructured":"Zeng S, Li B, Zeng S, Chen S (2009) Simulation of spontaneous ca2+ oscillations in astrocytes mediated by voltage-gated calcium channels. Biophys J 97(9):2429\u20132437. https:\/\/doi.org\/10.1016\/j.bpj.2009.08.030","journal-title":"Biophys J"},{"issue":"1","key":"10572_CR62","doi-asserted-by":"publisher","first-page":"405","DOI":"10.3934\/era.2024020","volume":"32","author":"Y Zhang","year":"2024","unstructured":"Zhang Y, Chen Y, Ji Q (2024) Dynamical analysis of spontaneous ca2+ oscillations in astrocytes. Electron Res Arch 32(1):405\u2013417. https:\/\/doi.org\/10.3934\/era.2024020","journal-title":"Electron Res Arch"},{"key":"10572_CR63","doi-asserted-by":"publisher","first-page":"258","DOI":"10.3389\/fphy.2020.00258","volume":"8","author":"H Zuo","year":"2020","unstructured":"Zuo H, Ye M (2020) Bifurcation and numerical simulations of ca2+ oscillatory behavior in astrocytes. Front Phys 8:258. https:\/\/doi.org\/10.3389\/fphy.2020.00258","journal-title":"Front Phys"}],"container-title":["Cognitive Neurodynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11571-026-10572-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11571-026-10572-7","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11571-026-10572-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,22]],"date-time":"2026-10-22T16:56:29Z","timestamp":1792688189000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11571-026-10572-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10,22]]},"references-count":63,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,12]]}},"alternative-id":["10572"],"URL":"https:\/\/doi.org\/10.1007\/s11571-026-10572-7","relation":{},"ISSN":["1871-4080","1871-4099"],"issn-type":[{"value":"1871-4080","type":"print"},{"value":"1871-4099","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,10,22]]},"assertion":[{"value":"4 August 2026","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 September 2026","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 October 2026","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 October 2026","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The authors declare that they have no conflict of interest.","order":1,"name":"Ethics","label":"Conflict of interest","group":{"name":"EthicsHeading","label":"Declarations"}}],"article-number":"205"}}