Growth-Inversion Model
Turn one-off campaigns into compounding momentum.
The Growth-Inversion Equation models how amplification and viral synergy convert transactional promotion sales into self-sustaining network effects. Adjust the levers to see how platform velocity compounds.
The equation
Vt=Cb·(1 + Ar·Ks)−Lchurn
Net platform velocity = base conversion × (1 + amplification × viral synergy) − churn. When the network term outweighs churn, velocity compounds upward period over period.
C_bShare of promotion pitches that convert into paying clients.
A_rShare of featured artists who actively reshare their campaign on their own channels.
K_sNew client leads generated per reshared campaign.
L_churnShare of clients lost each period.
Net Platform Velocity · V_t
Compounding — the network effect outweighs churn. Each period adds net velocity to the platform.
Term breakdown
- Base engine · C_b
- 12.0%
- Network multiplier · (1 + A_r·K_s)
- × 1.80
- Amplified gross · C_b·(1 + A_r·K_s)
- 21.6%
- Churn drag · L_churn
- − 8.0%
- Net velocity · V_t
- +13.6%
12-period projection
Compounded client base from 100 → 462
Each period the client base is multiplied by (1 + 13.6%). The curve bends upward when V_t > 0 and downward when churn dominates — the inversion point is where amplification overtakes churn.
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