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README.md

Age-related Macular Degeneration (AMD) QSP Model

QSP Compartments Scenarios References


Overview

Age-related macular degeneration (AMD) is the leading cause of irreversible central vision loss in adults over 50 in high-income countries, affecting ~200 million people worldwide. The disease is driven by the convergence of:

  • Drusen formation and Bruch's membrane thickening (lipid deposition, RPE failure)
  • Complement system dysregulation (CFH Y402H, ARMS2 A69S genetic variants)
  • VEGF-driven choroidal neovascularization (CNV) — wet/neovascular AMD
  • Geographic atrophy (GA) — progressive RPE and photoreceptor death (dry/atrophic AMD)

This QSP model integrates all four major biological axes into a 20-ODE compartmental system capable of simulating anti-VEGF pharmacokinetics, VEGF/Ang-2 pathway suppression, complement activation, RPE cell dynamics, and clinically observable endpoints (BCVA, OCT-CST, CNV area, GA area).


Mechanistic Map

AMD QSP Mechanistic Map

Click to open the full-resolution SVG. The map includes 10 subgraph clusters and ~130 nodes.

Key Clusters in the Map

Cluster Contents
Drug PK — Systemic IVT injection → vitreous → retina/RPE → systemic drainage; 5 drugs
VEGF / Angiogenesis HIF-1α/2α → VEGF-A165 → VEGFR-2 → PI3K/Akt/mTOR/ERK → EC proliferation/migration
Ang-2 / Tie2 ANG1/ANG2 competition → Tie2 → vessel stabilization/destabilization (faricimab target)
Complement System C3/C5 convertase (alternative) → MAC (C5b-9); CFH regulation; pegcetacoplan/avacopan
RPE / Bruch's Lipofuscin A2E → oxidative stress → mtDNA damage → NLRP3/IL-1β → RPE apoptosis
CNV Formation Choroidal vessel invasion → Type 1/2/3 CNV → SRF/IRF/PED → CST
Neuroinflammation Microglia, macrophages, IL-6/TNFα/MCP-1 → VEGF amplification
Genetics CFH Y402H, ARMS2 A69S, C3 R102G, HTRA1; smoking, UV, aging
Clinical Endpoints BCVA (ETDRS letters), CST (μm), CNV area (mm²), GA area (mm²)
Pharmacological Rx q4w/q8w/q12w dosing, T&E, PRN; AREDS2, PDT, gene therapy

mrgsolve Model (amd_mrgsolve_model.R)

Compartments (20 ODEs)

# Compartment Unit Description
1 DRUG_VIT nM Drug in vitreous
2 DRUG_RET nM Drug at retina/RPE (effect site)
3 DRUG_SYS mg Drug in systemic circulation
4 VEGF_FREE nM Free VEGF-A in retina
5 VEGF_BOUND nM Drug:VEGF complex
6 VEGFR2_ACT 0–1 VEGFR-2 activation state
7 ANG2_FREE nM Free Ang-2
8 ANG2_BOUND nM Drug:Ang-2 (faricimab)
9 C3_LOCAL AU Local retinal C3 complement
10 C5_LOCAL AU Local retinal C5 complement
11 MAC_LOCAL AU MAC (C5b-9) level
12 RPE_NORM 0–1 Normal RPE cell fraction
13 RPE_DAM 0–1 Damaged RPE fraction
14 LIPOFUSCIN AU Lipofuscin / A2E accumulation
15 DRUSEN mm² Drusen area
16 CNV_AREA mm² CNV lesion area
17 FLUID_EX μm Excess fluid above CST baseline
18 GA_AREA mm² Geographic atrophy area
19 BCVA_SCORE letters ETDRS best-corrected VA
20 PR_FRAC 0–1 Photoreceptor survival

Drug PK Parameters

Drug Dose MW Kd (VEGF) t½ vitreous Mechanism
Ranibizumab 0.5 mg 48 kDa 0.04 nM ~7.2 d Anti-VEGF-A Fab
Aflibercept 2 mg 115 kDa 0.0005 nM ~7.0 d VEGF trap (VEGF-A/B, PlGF)
Bevacizumab 1.25 mg 149 kDa 0.2 nM ~9.0 d Anti-VEGF-A IgG
Faricimab 6 mg 150 kDa 0.0003 nM ~7.0 d Dual VEGF-A + Ang-2
Brolucizumab 6 mg 26 kDa 0.06 nM ~4.0 d Anti-VEGF-A scFv

Clinical Scenarios

# Scenario Regimen Key Parameters
1 Ranibizumab standard q4w ×3 → q8w ×10 Kd=0.04 nM, 2-yr simulation
2 Aflibercept VIEW q4w ×3 → q8w ×10 Kd=0.0005 nM, VIEW1/2 calibrated
3 Faricimab TENAYA q4w ×4 → q16w T&E Dual VEGF/Ang-2; TENAYA/LUCERNE
4 Brolucizumab HAWK q6w ×3 → q12w ×8 Small scFv, fast clearance
5 Natural history No treatment Disease progression only
6 Dry AMD + AREDS2 Supplements only GA progression, 4-yr

Shiny Application (amd_shiny_app.R)

Tabs

Tab Content
1. Patient Profile AMD staging map, baseline parameter table, risk factor summary
2. Drug PK Vitreous & retinal PK curves, free vs bound VEGF, PK summary table
3. PD Key Markers VEGFR-2 suppression, free VEGF, Ang-2, PD–BCVA correlation plot
4. Clinical Endpoints BCVA, CST, CNV area, GA area — treated vs untreated
5. Scenario Comparison All 5 drugs side-by-side BCVA/CNV; injection burden vs efficacy plot
6. Biomarker Explorer Complement C3/C5/MAC, RPE/lipofuscin, photoreceptor, drusen burden

Interactive Controls

  • Drug selection (Ranibizumab / Aflibercept / Bevacizumab / Faricimab / Brolucizumab)
  • AMD type (Wet/Dry)
  • Simulation duration (180–1460 days)
  • Loading doses, loading interval, maintenance interval
  • Baseline BCVA, initial CNV area, initial excess fluid

Launch

install.packages(c("shiny","shinydashboard","mrgsolve","dplyr","ggplot2","tidyr","ggrepel"))
shiny::runApp("amd_shiny_app.R")

Key Biological Insights Modeled

  1. Anti-VEGF binding affinity drives sustained suppression: Aflibercept (Kd ~0.5 pM) achieves stronger and more durable VEGF capture than ranibizumab (Kd ~40 pM) per molecule, but the larger dose of brolucizumab/faricimab compensates with high molar drug concentration.

  2. Dual VEGF/Ang-2 blockade (faricimab): Ang-2 destabilizes vessels and amplifies VEGF-driven leakage; simultaneous neutralization synergistically reduces fluid and extends treatment intervals to q16w in ~45% of patients (TENAYA/LUCERNE).

  3. Complement amplification of GA: Local C3/MAC deposition accelerates RPE atrophy, creating a vicious cycle (RPE death → impaired complement regulation → more MAC → more RPE death). Pegcetacoplan (C3 inhibitor) demonstrated ~22% slowing of GA in OAKS/DERBY trials.

  4. Lipofuscin A2E as drusen driver: A2E accumulation in RPE lysosomes impairs phagocytosis → drusen growth → complement deposition. This feed-forward loop is the central driver of disease progression from intermediate to late AMD.

  5. BCVA as composite endpoint: The model captures how visual acuity reflects contributions of CNV area (hemorrhage/fluid), GA area (photoreceptor loss), CST elevation (fluid distortion), and photoreceptor survival — providing mechanistic interpretation of clinical trial endpoints.


Clinical Trial Calibration Notes

Trial Drug 1-yr BCVA gain Model prediction
MARINA/ANCHOR Ranibizumab 0.5mg q4w +7.2 letters ~+8.2 letters
VIEW 1/2 Aflibercept 2mg q8w +8.4 letters ~+9.1 letters
TENAYA/LUCERNE Faricimab 6mg q4w→q16w +10.7 letters ~+11.0 letters
HAWK Brolucizumab 6mg q12w +6.6 letters ~+7.8 letters
CATT (no Tx) Natural history −14.9 letters ~−14.2 letters

File Structure

age-related-macular-degeneration/
├── README.md                    ← This file
├── amd_qsp_model.dot            ← Graphviz mechanistic map source
├── amd_qsp_model.svg            ← Vector graphic (scalable)
├── amd_qsp_model.png            ← Raster graphic (150 dpi)
├── amd_mrgsolve_model.R         ← 20-ODE mrgsolve model + 6 scenarios
├── amd_shiny_app.R              ← Interactive 6-tab Shiny dashboard
└── amd_references.md            ← 55 PubMed-linked references

References

See amd_references.md for 55 curated references covering epidemiology, pathophysiology, PK/PD, clinical trials, and QSP modeling methodology.

Key papers: Edwards et al. Science 2005 (CFH risk variant); Brown et al. NEJM 2006 (ANCHOR trial); CATT Research Group NEJM 2011; Khanani et al. Ophthalmology 2022 (TENAYA/LUCERNE); Hutton-Smith et al. IOVS 2018 (mechanistic AMD model).