This models the pharmacology behind IV-infused AAV9 gene therapy for spinal muscular atrophy (the mechanism used by the approved drug Zolgensma): a single dose of self-complementary AAV9 carrying a working SMN1 transgene is infused into the bloodstream and must survive three filters before it can rescue a motor neuron.
block = titer / (titer + 50) neutralizing-antibody screen
avail = dose × (1 − block) dose that actually reaches tissue
liver = avail × 0.65 AAV9 is strongly hepatotropic
remain = avail × 0.35
bbbPerm = 0.30·e^(−age/10) + 0.04 blood-brain-barrier permeability falls with age
cns = remain × bbbPerm vector genomes reaching the CNS
%MN = 100 · cns^1.4 / (K^1.4 + cns^1.4) Hill-type transduction curve, K = 0.03
- Dose — total infused vector, in ×10¹⁴ viral genomes per kilogram; the approved clinical dose is 1.1×10¹⁴ vg/kg.
- Age at infusion — the blood-brain barrier is far more permeable to AAV9 in the first months of life; older, heavier patients dilute the same vg/kg dose across more capillary length and neuronal loss becomes progressively less reversible.
- Pre-existing anti-AAV9 titer — many people already carry neutralizing antibodies from natural AAV exposure; real trials exclude patients above roughly 1:50, because bound vector is cleared by the immune system before it ever reaches a cell.
- Most of the dose is captured by the liver regardless of settings — this is the biodistribution trade-off that limits how much can be pushed across the BBB, and the reason liver enzymes are monitored after every infusion.
- The CHOP-INTEND readout is a simplified proxy for the real 64-point infant motor function scale used in SMA trials — its achievable ceiling falls with age at treatment, reflecting motor neurons already lost before the infusion, which gene therapy cannot bring back.
- This 2D dashboard drives the same dose-response equations as the 3D version (verified numerically to be monotonic and internally consistent across the full parameter range) — plus two extra panels: a live dose-response curve showing where the current settings sit, and a fate-distribution bar for where the infused dose actually goes.