2D finite element estimation of calcium diffusion in Alzheimer’s affected neuron
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Annunziato L, Pignataro G, Renzo GFDI (2004) Pharmacology of brain $$Na^+/Ca^{2+}$$ exchanger: from molecular biology to therapeutic perspectives. Pharmacol Rev 56(4):633–654
Bezprozvanny I (2011) Calcium signalling and neurodegenerative diseases. Trends Mol Med 15(3):89–100
Carafoli E, Brini M (eds) (2007) Calcium signalling and disease. Springer, Berlin
Colvin RA, Bennett JW, Colvin SL (1991) $$Na^{+}-Ca^{2+}$$ exchange activity is increased in Alzheimer’s disease brain tissues. Ann NY Acad Sci 639:325–327
Colvin RA, Davis N, Wu A, Murphy CA, Levengood J (1994) Studies of the mechanism underlying increased $$Na^+/Ca^{2+}$$ exchange activity in Alzheimer’s disease brain. Brain Res 665:192–200
Dave DD, Jha BK (2020) 3D Mathematical modeling of calcium signaling in Alzheimer’s disease. Netw Model Anal Health Inform Bioinform 9(1):1–10
Dave DD, Jha BK (2018) Delineation of calcium diffusion in Alzheimeric brain. J Mech Med Biol 18(2):1–15
Dave DD, Jha BK (2018) Analytically depicting the calcium diffusion for Alzheimer’s affected cell. Int J Biomath 11(6):1–13
Green KN, Laferla FM (2008) Linking Calcium to $$A\beta$$ and Alzheimer’s Disease. Neuron 59:190–194
Jha BK, Dave DD (2020) Approximation of calcium diffusion in Alzheimeric cell. J Multiscale Model:11(2):2050001
Jha A, Adlakha N (2014) Analytical solution of two dimensional unsteady state problem of calcium diffusion in a neuron cell. J Med Imaging Health Inform 4(4):547–553
Jha BK, Adlakha N, Mehta MN (2012) Analytic solution of two-dimensional advection diffusion equation arising in cytosolic calcium concentration distribution. Int Math Forum 7(3):135–144
Jha BK, Adlakha N, Mehta MN (2013) Two-dimensional finite element model to study calcium distribution in astrocytes in presence of VGCC and excess buffer. Int J Model Simul Sci Comput 4(2):12500301–12500315
Jha BK, Adlakha N, Mehta MN (2014) Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. Int J Biomath 7(3):1–11
Jha A, Adlakha N, Jha BK (2015) 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(2):1–22
Kawamoto EM, Vivar C, Camandola S (2012) Physiology and pathology of calcium signaling in the brain. Front Pharmacol 3:1–17
Khachaturian ZS (1994) Calcium hypothesis of Alzheimer’s disease and brain aging. Ann NY Acad Sci:747(1):1–11
Liu S et al (2020) Overview of correlation filter based algorithms in object tracking. Complex Intell Syst. https://doi.org/10.1007/s40747-020-00161-4
Magi S, Castaldo P, Macrì ML et al (2016) Intracellular calcium dysregulation: implications for Alzheimer’s disease. Biomed Res Int. 2016:1–14
Mattson MP, Chan SL (2003) Neuronal and glial calcium signaling in Alzheimer’s disease. Cell Calcium 34:385–397
Naik P, Pardasani KR (2015) Two-dimensional finite element model to study calcium distribution in oocytes. J Multiscale Model 6(1):1–15
Naik PA, Pardasani KR (2016) Finite element model to study calcium distribution in oocytes involving voltage gated $$Ca^{2+}$$ channel, ryanodine receptor and buffers. Alexandria J Med 52(1):43–49
Naik PA, Pardasani KR (2017) Three-dimensional finite element model to study calcium distribution in oocytes. Netw Model Anal Health Inform Bioinform. https://doi.org/10.1007/s13721-017-0158-5
Naik PA, Pardasani KR (2018) 2D finite-element analysis of calcium distribution in oocytes. Netw Model Anal Health Inform Bioinform. https://doi.org/10.1007/s13721-018-0172-2
Panday S, Pardasani KR (2013) Finite element model to study effect of advection diffusion and $$Na^+/ Ca^{2+}$$ exchanger on $$Ca^{2+}$$ distribution in oocytes. J Med Imaging Heal Inform 3(3):374–379
Pathak K, Adlakh N (2015) Finite element model to study calcium signalling in cardiac myocytes involving pump. Leak and excess buffer. J Med Imaging Health Inform 5:1–6
Pathak K, Adlakh N (2015) Finite element model to study one dimensional calcium dyanmics in cardiac myocytes. J Multiscale Model 6(2):1–12
Rajagopal S, Ponnusamy M (2017) Calcium signaling: from physiology to diseases. Springer Nature Singapore Pvt Ltd., Singapore
Rao SS (2011) The finite element method in engineering, 5th edn. Elsevier, Amsterdam
Riascos D, De LD, Baker-Nigh A et al (2011) Age-related loss of calcium buffering and selective neuronal vulnerability in Alzheimer’s disease. Acta Neuropathol 122:565–576
Schampel A, Kuerten S (2017) Danger: high voltage—the role of voltage-gated system pathology. Cells 6:1–8
Sinha AK, Namdev N, Kumar A (2020) A mathematical model of adiponectin resistance. J Theor Biol 494:110246
Sinha AK, Namdev N (2020) Feature selection and pattern recognition for different types of skin disease in human body using the rough set method. Netw Model Anal Health Inform Bioinform 9:27
Sinha AK, Namdev N, Kumar A (2018) Rough set method accurately predicts unknown protein class/family of Leishmania donovani membrane proteome. Math Biosci 301:37–49
Smith GD (1996) Analytical steady-state solution to the rapid buffering approximation near an open $$Ca^{2+}$$ channel. Biophys J 71:3064–3072
Tewari SG, Pardasani KR (2012) Modeling effect of sodium pump on calcium oscilations in neuron cells. J Multiscale Model 4(3):1–16
Turkington C, Mitchell D (2010) The encyclopedia of Alzheimer’s disease, second. Facts on file: an imprint of Infobase Publishing