Background: Chemotaxis is a fundamental guidance mechanism of cells and organisms, responsible for attracting microbes to food, embryonic cells into developing tissues, immune cells to infection sites, animals towards potential mates, and mathematicians into biology.
Methods: This work focuses on the investigation of the chemotaxis
model for drug delivery applications. The investigation focuses on pattern
development in a volume-filling system with nonlinear diffusive terms. The
proposed mathematical model is regulated by a reaction-diffusion system that
simulates the interplay between cell density and chemoattractant concentration.
The pattern development of the model was examined through Turing's principle
and linear stability analysis. An asymptotic expansion is employed to linearize
the nonlinear diffusive components. Subsequently, an implicit finite volume
technique was offered and implemented on a triangular mesh that adheres to the
orthogonality constraint.
Results: Numerical results demonstrating the emergence of the
spatial pattern in the chemotaxis model are provided and examined.
Conclusion: The results indicate significant advancement in
comprehending the mechanisms of targeted drug delivery control and
optimization.
Author (s) Details
Ali S. Saad
Department of Biomedical Technology, College of Applied Medical Sciences,
King Saud University, P.O. Box 10219, Riyadh 11433, Saudi Arabia.
Mohammed Almijalli
Department of Biomedical Technology, College of Applied Medical Sciences,
King Saud University, P.O. Box 10219, Riyadh 11433, Saudi Arabia.
Moustafa Ibrahim
College of Engineering and Technology, American University of the Middle
East, Egaila 54200, Kuwait.
Mazen Saad
École Centrale de Nantes, LMJL UMR6629 CNRS 1, Rue de la Noë, 44321 Nantes,
France.
Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v9/3355
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