Did anyone implement the Greenspan (1972) model of solid tumor growth by diffusion in Matlab? The basics of the model are rather straightforward and the change in outer radius of the tumor over time is described by the differential equation dRo/dt ~ (Ro^3 - max(Ri^3,Rg^3) - Ri^2)/Ro^2. Two additional equations are given that relate both Rg(t) and Ri(t) to Ro(t). This determines the problem. However, the two additional equations are implicit and do not give a simple expression for either Ri nor Rg. Can anyone help me with solving this problem in Matlab? Thanks.
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