Analysis of drug diffusion in human connective tissue in neutrosophic environment

Authors

  • Supriya Mukherjee Department of Mathematics, Gurudas College, Kolkata-700054, West Bengal, India
  • Ashish Acharya Department of Mathematics, Swami Vivekananda Institute of Modern Science, Karbala More, West Bengal – 700103, India
  • Animesh Mahata Department of Mathematics,Sri Ramkrishna Sarada Vidya Mahapitha,Kamarpukur, Hooghly, West Bengal-712612,India
  • Subrata Paul Department of Mathematics, Arambagh Govt. Polytechnic, Arambagh, West Bengal, India
  • Said Broumi Labratory of Information Processing, Faculty of Science Ben M’Sik, University of HassanII, Casablanca, Morocco
  • Banamali Roy Department of Mathematics, Bangabasi Evening College, Kolkata-700009, West Bengal, India

Keywords:

Drug diffusion human model, Single valued triangular neutrosophic number of type 2, Hukuhara differentiability, (α, β, γ)-cut, Neutrosophic differential equation, Stability Analysis, Numerical study

Abstract

Neutrosophic sets play a crucial role in handling uncertainty, ambiguity, and indeterminacy in numerous theories. They are a kind of extension of the two types of fuzzy sets and intuitionistic fuzzy sets. In the context of modeling drug diffusion within human connective tissues, a differential equation is employed within the neutrosophic framework, utilizing Hukuhara differentiability. We
establish the initial conditions and parameters in the form of Type 2 triangular single-valued neutrosophic numbers. This study explores the stability and existence of equilibrium points, providing precise solutions. To conduct numerical simulations across various values of the (α, β, γ)-cut of the triangular neutrosophic number, we utilize MATLAB 2018a. 

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Published

2023-12-15

Issue

Vol. 61 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2023 Neutrosophic Sets and Systems

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How to Cite

Supriya Mukherjee, Ashish Acharya, Animesh Mahata, Subrata Paul, Said Broumi, & Banamali Roy. (2023). Analysis of drug diffusion in human connective tissue in neutrosophic environment. Neutrosophic Sets and Systems, 61, 11-27. https://fs.unm.edu/nss8/index.php/111/article/view/3773

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