Quantitative Model for Efficient Temporal Targeting of Tumor Cells and Neovasculature

Table 1

Numerical values for the parameters in (1) and (9) used in our simulations. In addition to the values shown, we use in the dimensionful equations 𝐷₁=0.32 mm²/day for lung cancer and 𝐷₁=0.46 mm²/day for melanoma, 𝜌=0.35 day^-1 for both melanoma and lung cancer (see Section 3.1), and a threshold for the detectability of tumor cells 𝑐_𝑡ℎ=0.09 [22]. As explained in the main text we have 𝐷₃=𝐷₄ and 𝜆̃^(𝐶)=100𝜆̃^(𝐷). The effectiveness of chemotherapy and antiangiogenic therapy are parameterized by 𝐴^(𝐷)=1.65 and 𝐴^(𝐶)=0.1 for lung cancer, and by 𝐴^(𝐷)=3 and 𝐴^(𝐶)=0.3 for melanoma (see Section 3.1).

𝛼1

𝐷2

𝛼

𝛽̃

𝛾̃

𝛼2

𝛿̃

𝑚lim

𝐷3

𝜆̃^(𝐶)

𝜈̃^(𝐶)

𝜈̃^(𝐷)

𝜇

1.1

0.005

–1

3

–2

0.9

0.8

√2

0.02

1300

3

0.1

8