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Mathematical modeling of Glucose, Insulin, -Cell Mass: Homotopy Perturbation Method Approach

    Authors

    • K. Saranya 1
    • T. Iswarya 2
    • V. Mohan 3
    • K. E. Sathappan 4
    • L. Rajendran 5

    1 Department of Mathematics, Thiagarajar College of Engineering, Madurai-625 015, Tamilnadu, India.

    2 PG and Research Department of Mathematics, Alagappa Govt Arts college, Karaikudi-630003, Tamilnadu, India.

    3 1Department of Mathematics, Thiagarajar College of Engineering, Madurai-625 015, Tamilnadu, India

    4 2PG and Research Department of Mathematics, Alagappa Govt Arts college, Karaikudi-630003, Tamilnadu, India.

    5 3Department of Mathematics, AMET (Deemed to be University), Chennai 603112, Tamilnadu, India

,

Document Type : Research Article

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Abstract

kinetics. This paper provides the theoretical and numerical solutions of the
nonlinear differential equation system.The homotopy perturbation method (HPM) is used to find
analytical expressions of the glucose, Insulin, and  -cell mass respectively. A comparison is
also provided between analytical approximation and numerical simulation. A reasonable
agreement between theoretical and simulation results is founded.

Keywords

  • mathematical model
  • Glucose
  • Insulin
  •  cell mass kinetics
  • Homotopy perturbation Method
  • Non-linear equations
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European Journal of Molecular & Clinical Medicine
Volume 7, Issue 2
November 2020
Page 3513-3530
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APA

Saranya, K., Iswarya, T., Mohan, V., Sathappan, K. E., & Rajendran, L. (2020). Mathematical modeling of Glucose, Insulin, -Cell Mass: Homotopy Perturbation Method Approach. European Journal of Molecular & Clinical Medicine, 7(2), 3513-3530.

MLA

K. Saranya; T. Iswarya; V. Mohan; K. E. Sathappan; L. Rajendran. "Mathematical modeling of Glucose, Insulin, -Cell Mass: Homotopy Perturbation Method Approach". European Journal of Molecular & Clinical Medicine, 7, 2, 2020, 3513-3530.

HARVARD

Saranya, K., Iswarya, T., Mohan, V., Sathappan, K. E., Rajendran, L. (2020). 'Mathematical modeling of Glucose, Insulin, -Cell Mass: Homotopy Perturbation Method Approach', European Journal of Molecular & Clinical Medicine, 7(2), pp. 3513-3530.

VANCOUVER

Saranya, K., Iswarya, T., Mohan, V., Sathappan, K. E., Rajendran, L. Mathematical modeling of Glucose, Insulin, -Cell Mass: Homotopy Perturbation Method Approach. European Journal of Molecular & Clinical Medicine, 2020; 7(2): 3513-3530.

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