An Analysis of a Fractional-Order Model of Colorectal Cancer and the Chemo-Immunotherapeutic Treatments with Monoclonal Antibody

نویسندگان

چکیده

The growth of colorectal cancer tumors and their reactions to chemo-immunotherapeutic treatment with monoclonal antibodies (mAb) are discussed in this paper using a system fractional order differential equations (FDEs). mAb medications still at the research stage; however, takes into account mAbs that already use. major goal is demonstrate effectiveness medication Cetuximab significance IL-2 levels immune support. created model broken down four sub-systems: cell populations, irinotecan (CPT11) concentration for treatment, support, antibody Cetuximab. We show existence uniqueness initial value problem (IVP). After that, we analyze stability equilibrium points (disease-free co-existing) Routh–Hurwitz criteria. In addition, applying discretization process, global constructed around based on specific conditions. end, simulation results were carried out support theory manuscript.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11102374