Table 1. A list of all the parameters appearing in the model equations.
| PARAMETER | VALUE | UNITS | BIOLOGICAL INTERPRETATION |
|---|---|---|---|
 |
4.81 × 10−4 | day−1 | primary tumour cell basal growth rate |
 |
1 × 10−4 | day−1 | migrating tumour cell basal growth rate |
| τ1 | 134.27 | pg day (mm3)−1 | NGF-dependence of tumour cell growth rate |
| τ2 | 2.39 | day | NGF-dependence of tumour cell growth rate |
| kT | 106 | cells (mm3)−1 | maximum tumour cell density (carrying capacity) |
| θ1 | 104 | cells (mm3)−1 | tumour cell Allee threshold in absence of norepinephrine |
| θ2 | 1 | mm3 pg−1 | norepinephrine-dependence of tumour cell Allee threshold |
| dT | 1.27 × 10−2 | day−1 | tumour cell death rate |
| δ | 1.29 × 10−2 | mm3 pg−1 | AGM-dependence of tumour cell apoptosis |
| μ0 | 0.22 | day−1 | spontaneous tumour cell migration rate |
| μ1 | 9.8 × 10−6 | mm3 pg−1 day−1 | AGM-dependence of tumour cell migration |
| μ2 | 2 × 10−3 | mm3 pg−1 day−1 | acetylcholine-dependence of tumour cell migration |
| sG | 2.22 × 10−3 | pg cell−1 day−1 | NGF production rate by tumour cells |
| dG | 22.18 | day−1 | NGF decay rate |
| γ1 | 5.57 × 10−5 | mm3 cell−1 day−1 | NGF internalisation rate by tumour cells |
| γ2 | 5 × 10−2 | mm3 cell−1 day−1 | NGF internalisation rate by nerve cells |
| sA | 5.42 × 10−3 | pg cell−1 day−1 | AGM secretion rate by tumour cells |
| dA | 2.4 | day−1 | AGM decay rate |
| γ3 | 10−5 | mm3 cell−1 day−1 | AGM internalisation rate by tumour cells |
| γ4 | 1.47 × 10−5 | mm3 cell−1 day−1 | AGM internalisation rate by nerve cells |
| rS | 6 × 10−2 | day−1 | SNC basal growth rate |
| kS | 0.26 | cells (mm3)−1 | SNC carrying capacity |
| σ1 | 1.29 × 102 | pg day (mm3)−1 | NGF-dependence of SNC growth rate |
| σ2 | 50 | day | NGF-dependence of SNC growth rate |
| σ3 | 7.79 | pg day (mm3)−1 | AGM-dependence of SNC growth rate |
| σ4 | 0.01 | day | AGM-dependence of SNC growth rate |
| rP | 7 | day−1 | PNC basal growth rate |
| kP | 0.03 | cells (mm3)−1 | PNC carrying capacity |
| π1 | 0.33 | pg cell−1 day−1 | NGF-dependence of PNC growth rate |
| π2 | 0.1 | day | NGF-dependence of PNC growth rate |
| π3 | 1 | pg day (mm3)−1 | AGM-dependence of PNC growth rate |
| π4 | 0.01 | day | AGM-dependence of PNC growth rate |
| cn | 0.41 | pg (mm3)−1 day−1 | norepinephrine constant source |
| sn | 1.6 | pg cells−1 day−1 | norepinephrine production rate by SNC |
| dn | 1.66 | day−1 | norepinephrine decay rate |
| γ5 | 2 × 10−3 | mm3 cell−1 day−1 | norepinephrine uptake rate by tumour cells |
| ca | 3.99 × 103 | pg (mm3)−1 day−1 | acetylcholine constant source |
| sa | 0.73 | day−1 | acetylcholine production rate by PNC |
| da | 49.91 | day−1 | acetylcholine decay rate |
| γ6 | 10−3 | mm3 cell−1 day−1 | acetylcholine uptake rate by tumour cells |
Details can be found in the supplementary material.