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Analysis of a mathematical model of solid tumor treated with CAR-T cells

Speaker(s)
Juan Belmonte Beitia
Affiliation
University of Castilla-La Mancha, Spain
Date
Jan. 19, 2022, 12:15 p.m.
Information about the event
4060 oraz https://us02web.zoom.us/j/89788218933?pwd=aVc2UHdwRWMwZy8yK24rQTJWRW42QT09 Meeting ID: 897 8821 8933 Passcode: Biomat
Seminar
Seminar of Biomathematics and Game Theory Group

In this presentation, we address a theoretical study and its  numerical simulations of CAR-T cell-based therapies for solid  tumors. We study mathematically the periodic CAR-T cells  instillations using impulsive differential equations which are  studied using theory of dynamical systems. Thus, we calculate a  critical value of the CAR-T cells dose for successful treatment. 
Finally, we find a relationship between the number of doses and the strength of dose of treatment, which can be useful for medical applications.