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. 2013 Aug 5;8(8):e70395. doi: 10.1371/journal.pone.0070395

Table 3. Tumor volume, blood flow and interstitial fluid sources.

Inline graphic Inline graphic Inline graphic Tumor volume
Inline graphic Inline graphic Fractional tumor volume
Inline graphic Inline graphic Inline graphic Blood flow through tumor boundary
Inline graphic Inline graphic Inline graphic IF influx (tumor)
Inline graphic Inline graphic Inline graphic IF uptake (tumor)
Inline graphic Inline graphic Inline graphic IF influx (normal)
Inline graphic Inline graphic Inline graphic IF uptake (normal)
Inline graphic Inline graphic Ratio of IF extravasation to blood flow.

Inline graphic and the quantities involving Inline graphic were computed by numerical integration, i.e. summation over grid cells, weighted by Inline graphic or Inline graphic as required by the respective region. Tumor blood flow was computed by summing Inline graphic over vessels where (i) the sign of Inline graphic changes between the endpoints, (ii) blood flow is directed into the tumor, which is straight forward to check based on the nodal blood pressures and Inline graphic. Of course, mass is preserved, i.e. inflow and outflow are equal (in particular since we neglect extravasated fluid). Also due to mass conservation, the IF uptake in normal tissue is slightly higher than influx because flux from the tumor is absorbed as well. Uptake within the tumor is low due to the lack of lymphatics. Inline graphic is the ratio of Inline graphic to Inline graphic, indicating that only a very small fraction of the blood plasma which is entering the tumor is lost into the tumor interstitium.