Ahmed Kanber, "Finite Difference Scheme for Transport-diffusion-reaction of Antibodies in a Tumor : Analysis of Consistency and Stability," Design, Construction, Maintenance, vol. 4, pp. 162-168, 2024, DOI:10.37394/232022.2024.4.17
Ahmed Kanber. Finite Difference Scheme for Transport-diffusion-reaction of Antibodies in a Tumor : Analysis of Consistency and Stability.
Design, Construction, Maintenance. 2024;4:162-168. 10.37394/232022.2024.4.17
DESIGN, CONSTRUCTION, MAINTENANCE
Print ISSN: 2944-912X, E-ISSN: 2732-9984 An Open Access International Journal of Engineering
Volume 4, 2024
Finite Difference Scheme for Transport-diffusion-reaction of Antibodies in a Tumor : Analysis of Consistency and Stability
Author:
Abstract: According to the mathematical model presented in a scientificité modeling text in the French external agregation competition (public 2008), antibodies are transported between tumors and are reacted with antigens in a transport-diffusion reaction. As a result of the proposed model, an unstable system is produced. Under certain conditions, we propose modifications that result in a new system that is stable and consistent. In this paper, a detailed study of the stability and consistency of this new system is presented, with demonstrations and proofs that are validated numerically.
Pages: 162-168 DOI: 10.37394/232022.2024.4.17WSEAS Transactions on Design, Construction, Maintenance, ISSN / E-ISSN: 2944-912X / 2732-9984, Volume 4, 2024, Art. #17
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