ArticleComputational and mathematical methods in medicine2018
Stability Analysis of Delayed Immune Response BCG Infection in Bladder Cancer Treatment Model by Stochastic Perturbations.
Article in Computational and mathematical methods in medicine, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Review
- Investigation toward the economic feasibility of personalized medicine for healthcare service providers: the case of bladder cancer.Frontiers in medicine · 2024Article
- Mathematical model of MMC chemotherapy for non-invasive bladder cancer treatment.Frontiers in oncology · 2024Article
- Mathematical modeling of BCG-based bladder cancer treatment using socio-demographics.Scientific reports · 2023Article
- Article
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2 authors.
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Abstract
We present a revised mathematical model of the immune response to Bacillus Calmette-Guérin (BCG) treatment of bladder cancer, optimized according to biological and clinical data accumulated during the last decade. The improved model accounts for cytotoxic T lymphocyte differentiation as an integral element of the delayed immune response, as well as the logistic growth terms for cancer cell proliferation. Three equilibria are demonstrated for the proposed model, which is assumed to be influenced by white noise stochastic perturbations that are directly proportional to the system state deviation from an equilibrium. Stability conditions for all equilibria are analyzed using the Kolmanovskii-Shaikhet general method of Lyapunov functionals construction.
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