DELINEATION OF CALCIUM DIFFUSION IN ALZHEIMERIC BRAIN

被引:20
作者
Dave, Devanshi D. [1 ]
Jha, Brajesh Kumar [1 ]
机构
[1] Pandit Deendayal Petr Univ, Sch Technol, Dept Math, Gandhinagar 382007, Gujarat, India
关键词
Alzheimer's disease; calcium binding proteins; Laplace transforms; FINITE-ELEMENT MODEL; DYSREGULATION; HOMEOSTASIS; DISEASE; ASTROCYTES; OOCYTES;
D O I
10.1142/S0219519418500288
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
Under the widespread umbrella of dementia, Alzheimer's disease is the most common form of dementia. Most of the aged people are suffering from Alzheimer's disease around the world. The reasons for the same are not known in detail and thus various experimental and computational attempts need to be carried out. Calcium, being a second messenger has an immense role in transformation of information. This transformation takes place in the form of signaling in which several parameters play an active role. In present work, an attempt has been made to describe the effect of calcium signaling in nerve cells for Alzheimer's disease. Here, parameters like advection diffusion and buffering are taken into consideration to visualize the effects of the same on cytosolic calcium concentration. This physiological process is modeled two dimensionally and solved analytically. Laplace and similarity transforms are employed to obtain the desired results. The results are simulated and graphically plotted using MATLAB. The known fact that the higher concentration of calcium has adverse effects on the cell which may result into progression of AD is considered as a lantern in enlightening the physiology of Alzheimer's disease.
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页数:15
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共 41 条
  • [1] Calcium signals induced by amylold β peptide and their consequences in neurons and astrocytes in culture
    Abramov, AY
    Canevari, L
    Duchen, MR
    [J]. BIOCHIMICA ET BIOPHYSICA ACTA-MOLECULAR CELL RESEARCH, 2004, 1742 (1-3): : 81 - 87
  • [2] Absolute diffusivities define the landscape of white matter degeneration in Alzheimer's disease
    Acosta-Cabronero, Julio
    Williams, Guy B.
    Pengas, George
    Nestor, Peter J.
    [J]. BRAIN, 2010, 133 : 529 - 539
  • [3] Dysregulation of neural calcium signaling in Alzheimer disease, bipolar disorder and schizophrenia
    Berridge, Michael J.
    [J]. PRION, 2013, 7 (01) : 2 - 13
  • [4] Bhargava N., 2011, APPL MATH SCI, V5, P2707
  • [5] Network-wide dysregulation of calcium homeostasis in Alzheimer's disease
    Brawek, Bianca
    Garaschuk, Olga
    [J]. CELL AND TISSUE RESEARCH, 2014, 357 (02) : 427 - 438
  • [6] Brezprozvanny I, 2009, TRENDS MOL MED, V15, P89
  • [7] Brzyska M, 2003, ACTA NEUROBIOL EXP, V63, P171, DOI 10.55782/ane-2003-1465
  • [8] Carafoli E, 2007, CALCIUM SIGNALING DI
  • [9] Crank J., 1975, The Mathematics of Diffusion, V2nd
  • [10] FINITE ELEMENT MODEL TO STUDY EFFECT OF Na+-Ca2+ EXCHANGERS AND SOURCE GEOMETRY ON CALCIUM DYNAMICS IN A NEURON CELL
    Jha, Amrita
    Adlakha, Neeru
    Jha, Brajesh Kumar
    [J]. JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY, 2016, 16 (02)