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Figure 2 | Theoretical Biology and Medical Modelling

Figure 2

From: Modeling drug resistance in a conjoint normal-tumor setting

Figure 2

The evolution of normal cells and tumor cells in a chemo-resistance setting. In this figure the blue curve illustrates the evolution of normal cell population, red curve illustrates the evolution of the drug responsive tumor cell population, and the purple curve illustrates the evolution of the drug resistant tumor cell population. The horizontal dashed line represents the magnitude of the critical population of tumor cells, T*. a) In this figure, normal and tumor cell populations grow in a coupled setting where the parameter values are given by. K T = K N = K R = 106; r T = r r = 0.25; r n = 0.4; T* C = 5*105; κ = 0.124; μ = 5*10−3. Due to mutation and growth, the population of drug resistant tumor cells is higher than that of the drug sensitive tumor. Normal cell numbers decrease as the total number of tumor cells exceed the magnitude of the critical tumor cell population. b) In this figure, r T = 0.25; r r = 0.2. Here, the population of drug responsive tumor cells is higher at the beginning of the developmental curve. However, at approximately t = 160 days, the system contains a higher population of drug resistance cells. c) In this figure, κ = 0.126, r T = 0.25; r r = 0.2. Using this set of parameters we find that the population of normal cells has become smaller that critical value of tumor cells. In such a case the normal cells die out of the system.

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