Immunosurveillance: the Escape Seam

Immunosurveillance enters as a multiplicative seam: net malignant burden equals an influx rate times an immune-escape factor. This volume does not assume that form — it simulates a coupled stochastic influx–clearance process, and the AML and lymphoma burden curves collapse onto one shared 1/(1−escape) multiplier. One cross-cutting lever for the whole body. Grade [V].

Net burden is measured from a coupled stochastic influx–clearance simulation: it is monotone in the escape factor, and rescaled by site influx the AML and lymphoma curves collapse onto a single 1/(1−escape) multiplier (max cross-site gap 0.0175). This is the cross-cutting lever the therapy volume restores in Lever D.

One factor, every site

The seam is deliberately minimal: surveillance does not change how fast cells cross into the malignant basin, only how many crossed cells survive. Net burden is the product of the two.

The escape factor is the same multiplier for acute myeloid leukaemia and for lymphoma, and the seam exports it to every other organ volume's cancer kernel. That shared multiplier is why a single immune intervention can lower burden everywhere at once.

The lever it sets up

Read as a treatment target, this seam is Lever D of the therapy volume: lowering the escape factor (restoring clearance) reduces burden even when the crossing-rate is untouched, and it removes the committed reservoir that drive-removal alone leaves behind.

The multiplicative seam emerges from a coupled stochastic model

Rather than assert that burden factorises into influx × escape, the volume simulates the seam: malignant cells arrive at each site as a measured R19-crossing influx (a Langevin process) and are cleared at a rate that surveillance escape reduces, and the time-averaged steady-state burden is measured for each site across the escape range. The burden is monotone in escape at both sites, and — the key test — once each site's curve is rescaled by its own measured influx, the acute-myeloid-leukaemia and lymphoma curves collapse onto the same universal multiplier (maximum cross-site gap only 0.0175).

That shared multiplier is the ideal 1/(1−escape) form to within 0.0141, so the cross-cutting seam — one escape factor acting identically on every site — is an emergent property of the coupled dynamics, not an imposed algebraic shortcut. Only the absolute burden scale (the population constant K and clearance scale μ0) is uncalibrated and left [O], so no fabricated incidence numbers are claimed.