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Table 1 Summary of results and possible interpretation of the applicability of various parametrically heterogeneous models to describing the dynamics underlying tumor dormancy

From: Primary and metastatic tumor dormancy as a result of population heterogeneity

Model Distr. param. Escape phase Expected value of dist. param. Variance of distr. param. after escape Interpretation/applicability
Malthusian c rapid Increases rapidly during escape phase to maximum possible value Increases rapidly during escape, then returns to zero Likely not applicable
Logistic c rapid Increases rapidly during escape phase to sub-maximum value (inv. proportional to variance) Increases rapidly during escape, then remains at a non-zero value Primary tumor dormancy
Allee x c  ' = cx c (l − N)(N − m), c gradual Increases rapidly during escape phase to sub-maximum value (inv. proportional to variance) Increases rapidly during escape, then remains at a non-zero value Slowly-growing tumor
x l  ' = cx l (l − N)(N − m), l less gradual Increases rapidly during escape phase to maximum possible value Increases rapidly during escape, then returns to zero Likely not applicable
x m  ' = cx m (l − N)(N − m), m rapid Increases rapidly during escape phase to sub-maximum value (inv. proportionate to variance) Increases rapidly during escape, then gradually decreases Metastatic tumor dormancy