Portraying the Effect of Calcium-Binding Proteins on Cytosolic Calcium Concentration Distribution Fractionally in Nerve Cells

  • Brajesh Kumar Jha
  • Hardik JoshiEmail author
  • Devanshi D. Dave
Original Research Article


Nerve cells like neurons and astrocytes in central nervous system (CNS) take part in the signaling process which means the transformation of the information from one cell to another via signals. The signaling process is affected by various external parameters like buffers calcium-binding proteins, voltage-gated calcium channel. In the present paper, the role of buffers in the cytoplasmic calcium concentration distribution is shown. The elicitation in calcium concentration is due to the presence of lower amount calcium-binding proteins which can be shown graphically. The mathematical model is designed by keeping in mind the physiological condition taking place in CNS of mammalian brain. The thing to be noted here is that the more elicitation in the calcium concentration distribution results in the cell death which finally give neurodegenerative disease to the mammalian brain. The present paper gives a glimpse of Parkinson’s diseases in particular. Computational results are performed in Wolfram Mathematica 9.0 and simulated on core(TM) i5-3210M CPU @ 2.50 GHz processing speed and 4 GB memory. It is found that the different types of buffer like ethylene glycol-bis(\(\beta\)-aminoethyl ether)-N,N,N′,N′-tetraacetic acid, 1,2-bis(o-aminophenoxy)ethane-N,N,N′,N′-tetraacetic acid and calmodulin have noteworthy effect at different fractions of time.


Buffers Nerve cells Parkinson's disease (PD) Fractional approach 


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Copyright information

© International Association of Scientists in the Interdisciplinary Areas and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Brajesh Kumar Jha
    • 1
  • Hardik Joshi
    • 2
    Email author
  • Devanshi D. Dave
    • 1
  1. 1.Department of Mathematics and Computer Science, School of TechnologyPandit Deendayal Petroleum UniversityGandhinagarIndia
  2. 2.L.J. Institute of Engineering & Technology, Gujarat Technological UniversityAhmedabadIndia

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