Ahmed Z, Connor JA (1988) Calcium regulation by and buffer capacity of molluscan neurons during calcium transients. Cell Calcium 9:57–69. https://doi.org/10.1016/0143-4160(88)90025-5

Article  CAS  PubMed  Google Scholar 

Aimi Y, Kimura H, Kinoshita T et al (1993) Histochemical localization of nitric oxide synthase in rat enteric nervous system. Neuroscience 53:553–560. https://doi.org/10.1016/0306-4522(93)90220-A

Article  CAS  PubMed  Google Scholar 

Bodalia A, Li H, Jackson MF (2013) Loss of endoplasmic reticulum Ca2+ homeostasis: contribution to neuronal cell death during cerebral ischemia. Acta Pharmacol Sin 34:49–59. https://doi.org/10.1038/aps.2012.139

Article  CAS  PubMed  Google Scholar 

Boehning D, Snyder SH (2003) Novel neural modulators. Annu Rev Neurosci 26:105–131. https://doi.org/10.1146/annurev.neuro.26.041002.131047

Article  CAS  PubMed  Google Scholar 

Bogdan C (2001) Nitric oxide and the immune response: nature immunology. Nat Immunol 2:907–916

Article  CAS  PubMed  Google Scholar 

Bolotina VM, Najibi S, Palacino JJ et al (1994) Nitric oxide directly activates calcium-dependent potassium channels in vascular smooth muscle. Nature 368:850–853. https://doi.org/10.1038/368850a0

Article  CAS  PubMed  Google Scholar 

Bootman MD, Berridge MJ (1995) The elemental principles of calcium signaling. Cell 83:675–678. https://doi.org/10.1016/0092-8674(95)90179-5

Article  CAS  PubMed  Google Scholar 

Bredt DS, Hwang PM, Snyder SH (1990) Localization of nitric oxide synthase indicating a neural role for nitric oxide. Nature 347:768–770. https://doi.org/10.1038/347768a0

Article  CAS  PubMed  Google Scholar 

Brenman JE, Xia H, Chao DS et al (1997) Regulation of neuronal nitric oxide synthase through alternative transcripts. Dev Neurosci 19:224–231. https://doi.org/10.1159/000111211

Article  CAS  PubMed  Google Scholar 

Brini M, Calì T, Ottolini D, Carafoli E (2014) Neuronal calcium signaling: function and dysfunction. Cell Mol Life Sci 71:2787–2814. https://doi.org/10.1007/s00018-013-1550-7

Article  CAS  PubMed  Google Scholar 

Brown SA, Morgan F, Watras J, Loew LM (2008) Analysis of phosphatidylinositol-4,5-bisphosphate signaling in cerebellar Purkinje spines. Biophys J 95:1795–1812. https://doi.org/10.1529/biophysj.108.130195

Article  CAS  PubMed  PubMed Central  Google Scholar 

Ceccatelli S, Lundberg JM, Zhang X et al (1994) Immunohistochemical demonstration of nitric oxide synthase in the peripheral autonomic nervous system. Brain Res 656:381–395. https://doi.org/10.1016/0006-8993(94)91483-4

Article  CAS  PubMed  Google Scholar 

Cherian L, Hlatky R, Robertson CS (2004) Nitric oxide in traumatic brain injury. Brain Pathol 14:195–201. https://doi.org/10.1111/j.1750-3639.2004.tb00053.x

Article  CAS  PubMed  Google Scholar 

Chung JW, Ryu WS, Kim BJ, Yoon BW (2015) Elevated calcium after acute ischemic stroke: association with a poor short-term outcome and long-term mortality. J Stroke 17:54–59. https://doi.org/10.5853/jos.2015.17.1.54

Article  PubMed  PubMed Central  Google Scholar 

Crank J (1979) The mathematics of diffusion. Oxford University Press, Ely House, London

Google Scholar 

Davis KL, Martin E, Turko IV, Murad F (2001) Neno

Dawson VL, Dawsont TEDM, London ED et al (1991) Nitric oxide mediates glutamate neurotoxicity in primary. Proc Natl Acad Sci USA 88:6368–6371

Article  CAS  PubMed  PubMed Central  Google Scholar 

Dormanns K, Brown RG, David T (2016) The role of nitric oxide in neurovascular coupling. J Theor Biol 394:1–17. https://doi.org/10.1016/j.jtbi.2016.01.009

Article  CAS  PubMed  Google Scholar 

Dupont G, Erneux C (1997) Simulations of the effects of inositol and activities on Ca* + oscillations. 22:321–331

Dupont G, Swillens S, Clair C et al (2000) Hierarchical organization of calcium signals in hepatocytes: from experiments to models. Biochim Biophys Acta - Mol Cell Res 1498:134–152. https://doi.org/10.1016/S0167-4889(00)00090-2

Article  CAS  Google Scholar 

Egelman DM, Montague PR (1999) Calcium dynamics in the extracellular space of mammalian neural tissue. Biophys J 76:1856–1867. https://doi.org/10.1016/S0006-3495(99)77345-5

Article  CAS  PubMed  PubMed Central  Google Scholar 

Eskandari Z, Shahraki HE, Naik PA (2021) Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model. Math Model Numer Simul Appl 1:95–101. https://doi.org/10.53391/mmnsa.2021.01.009

Article  Google Scholar 

Falcke M (2003) Buffers and oscillations in intracellular Ca2+ dynamics. Biophys J 84:28–41. https://doi.org/10.1016/S0006-3495(03)74830-9

Article  CAS  PubMed  PubMed Central  Google Scholar 

Falcke M, Huerta R, Rabinovich MI et al (2000) Modeling observed chaotic oscillations in bursting neurons: the role of calcium dynamics and IP3. Biol Cybern 82:517–527. https://doi.org/10.1007/s004220050604

Article  CAS  PubMed  Google Scholar 

Fogelson AL, Zucker RS (1985) Presynaptic calcium diffusion from various arrays of single channels. Implications for transmitter release and synaptic facilitation. Biophys J 48:1003–1017. https://doi.org/10.1016/S0006-3495(85)83863-7

Article  CAS  PubMed  PubMed Central  Google Scholar 

Garthwaite J (1991) Glutamate, nitric oxide and cell-cell signalling in the nervous system. Trends Neurosci 14:60–67. https://doi.org/10.1016/0166-2236(91)90022-M

Article  CAS  PubMed  Google Scholar 

Garthwaite G, Garthwaite J (1988) Cyclic GMP and cell death in rat cerebellar slices. Neuroscience 26:321–326. https://doi.org/10.1016/0306-4522(88)90148-0

Article  CAS  PubMed  Google Scholar 

Garthwaite J, Garthwaite G, Palmer RMJ, Moncada S (1989) NMDA receptor activation induces nitric oxide synthesis from arginine in rat brain slices. Eur J Pharmacol Mol Pharmacol 172:413–416. https://doi.org/10.1016/0922-4106(89)90023-0

Article  CAS  Google Scholar 

Gibson WG, Farnell L, Bennett MR (2007) A computational model relating changes in cerebral blood volume to synaptic activity in neurons. Neurocomputing 70:1674–1679. https://doi.org/10.1016/j.neucom.2006.10.071

Article  Google Scholar 

Huang PL (2004) Nitric oxide and cerebral ischemic preconditioning. Cell Calcium 36:323–329. https://doi.org/10.1016/j.ceca.2004.02.007

Article  CAS  PubMed  Google Scholar 

Iino M (2006) Ca2+-dependent inositol 1,4,5-trisphosphate and nitric oxide signaling in cerebellar neurons. J Pharmacol Sci 100:538–544. https://doi.org/10.1254/jphs.CPJ06006X

Article  CAS  PubMed  Google Scholar 

Jagtap YD, Adlakha N (2018) Simulation of buffered advection diffusion of calcium in a hepatocyte cell. Math Biol Bioinforma 13:609–619. https://doi.org/10.17537/2018.13.609

Article  CAS  Google Scholar 

Jagtap Y, Adlakha N (2019) Numerical study of one-dimensional buffered advection–diffusion of calcium and IP 3 in a hepatocyte cell. Netw Model Anal Heal Inform Bioinforma 8:1–9. https://doi.org/10.1007/s13721-019-0205-5

Article  Google Scholar 

Jha A, Adlakha N (2014) Analytical solution of two dimensional unsteady state problem of calcium diffusion in a neuron cell. J Med Imaging Heal Inform 4:547–553. https://doi.org/10.1166/jmihi.2014.1282

Article  Google Scholar 

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. https://doi.org/10.1142/S1793962312500304

Article  Google Scholar 

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 7:1–11. https://doi.org/10.1142/S1793524514500314

Article  Google Scholar 

Kaul M, Garden GA, Lipton SA (2001) Pathways to neuronal injury and apoptosis in HIV-associated dementia. Nature 410:988–994. https://doi.org/10.1038/35073667

Article  CAS  PubMed  Google Scholar 

Kavdia M, Tsoukias NM, Popel AS (2002) Model of nitric oxide diffusion in an arteriole: impact of hemoglobin-based blood substitutes. Am J Physiol - Hear Circ Physiol 282:2245–2253. https://doi.org/10.1152/ajpheart.00972.2001

Article  Google Scholar 

Kiss JP, Vizi ES (2001) Nitric oxide: a novel link between synaptic and nonsynaptic transmission. Trends Neurosci 24:211–215. https://doi.org/10.1016/S0166-2236(00)01745-8

Article  CAS  PubMed  Google Scholar 

Kohlmeier KA, Leonard CS (2006) Transmitter modulation of spike-evoked calcium transients in arousal related neurons: Muscarinic inhibition of SNX-482-sensitive calcium influx. Eur J Neurosci 23:1151–1162. https://doi.org/10.1111/j.1460-9568.2006.04640.x

Article  PubMed  Google Scholar 

Kotwani M, Adlakha N, Mehta MN (2012) Numerical model to study calcium diffusion in fibroblasts cell for one dimensional unsteady state case. Appl Math Sci 6:5063–5072