Atypical Hemolytic Uremic Syndrome (aHUS) QSP Model
Complement Alternative Pathway Dysregulation → Thrombotic Microangiopathy → Multi-Organ Damage
Atypical Hemolytic Uremic Syndrome (aHUS) is a rare, life-threatening thrombotic microangiopathy (TMA) driven by chronic, uncontrolled activation of the complement alternative pathway (AP) . Unlike typical HUS (caused by Shiga toxin-producing E. coli ), aHUS is caused by:
Germline mutations in complement regulatory genes: CFH (~25%), CD46 (~12%), CFI (~8%), C3 (~8%), CFB (~2%), THBD (~3%)
Anti-CFH autoantibodies (~10% of cases)
Incomplete penetrance (~50% in CFH carriers) — environmental triggers required
Pathophysiological Cascade
AP Dysregulation (CFH/CFI mutation)
↓
C3 Tickover → C3b accumulation (uncontrolled)
↓
C5 Convertase (C3b₂Bb) → C5 cleavage
↓
C5a (anaphylatoxin) + C5b → MAC (C5b-9)
↓
Endothelial injury → TMA
↓
Thrombocytopenia + MAHA + Acute Kidney Injury
Incidence: ~0.5–2 per million/year
Median age at onset: 2.5 years (children) / 33 years (adults)
ESRD risk: 50% within first year if untreated
Mortality: 25% in first acute episode
Relapse rate: 40–80% with CFH mutations
Clusters included:
Genetic & Acquired Risk Factors
Complement Alternative Pathway (AP)
Classical & Lectin Pathways (CP/LP)
Complement Regulatory Proteins (CFH, CFI, CD46, CD59...)
Terminal Complement (C5–C9 → MAC)
Endothelial Injury & TMA
Platelet & Hematological Compartment
Renal Pathophysiology
Extrarenal Manifestations
Inflammatory & Coagulation Amplification
Drug Mechanisms (PK/PD)
Clinical Endpoints & Biomarkers
Clinical Monitoring & Management
ODE Model — 18 State Variables
#
Compartment
Variable
Unit
Notes
1
Drug central
Drug_C
mg
Eculizumab PK (IV)
2
Drug peripheral
Drug_P
mg
2-comp PK
3
Drug-C5 complex
Drug_C5
mg
TMDD complex
4
C3 pool
C3pool
nM
Plasma C3 (~8000 nM)
5
AP C3b
C3b_AP
nM
Active C3b accumulation
6
Free C5
C5free
nM
Key drug target (~395 nM)
7
C5 convertase
C5conv
AU
C3b₂Bb activity
8
MAC flux
MACflux
AU
C5b-9 formation rate
9
Endothelial injury
Endo_inj
0–10
TMA driver score
10
Platelet count
PLT
×10⁹/L
Thrombocytopenia marker
11
Hemoglobin
Hgb
g/dL
MAHA marker
12
LDH
LDH
U/L
Hemolysis marker
13
Haptoglobin
Hpg
g/L
Free Hgb scavenger
14
eGFR
GFR
mL/min/1.73m²
Renal function
15
Schistocytes
Schist
%
Blood smear
16
CRP
CRP
mg/L
Inflammatory marker
17
sC5b-9
sC5b9
ng/mL
Complement activation biomarker
18
CH50
CH50pct
%
Functional complement activity
Drug PK Parameters (Eculizumab, 2-Compartment)
Parameter
Value
Unit
Reference
CL
0.31
L/day
Menne 2015
V1
5.30
L
Menne 2015
Q
0.54
L/day
Menne 2015
V2
4.10
L
Menne 2015
t½
~11
days
Calculated
C5 Kd
~10
pM
Thomas 1996
MW
148
kDa
Product info
Treatment Scenarios Simulated
Scenario
Treatment
Dosing
Route
1
Natural history
—
—
2
Eculizumab (standard)
900 mg/wk×4 → 1200 mg/q2w
IV
3
Ravulizumab
2400/3000 mg → 3300 mg/q8w
IV
4
Eculizumab + Danicopan (fDi)
Standard + 150 mg TID oral add-on
IV+PO
5
Iptacopan (oral fBi)
200 mg BID
PO
Alternative Pathway Activation
dC3b/dt = kAP × C3/C3_ss + kAP_amp × (C3b/C3_ss) × C3/C3_ss
- kC3b_deg × CFH_factor × CFI_factor × C3b
TMDD for Eculizumab-C5 Binding
dC5free/dt = kC5syn - kC5deg × C5free - kC5conv × C5conv × C5free
- (kon × Cc_nM × C5free - koff × [Drug-C5])
Endothelial Injury Dynamics
dEI/dt = kEI_MAC × MACflux - kEI_rep × EI
GFR Recovery (Complement-dependent)
dGFR/dt = kGFR_rep × (GFR_ss - GFR) × (1 - EI/EI_max)
- kGFR_loss × GFR × (EI/6)
Shiny App — 8 Interactive Tabs
Tab
Content
Overview
Disease overview, mechanistic cascade, KPI value boxes
Patient Profile
Complement regulatory radar, presentation values, cascade dynamics
PK Analysis
Eculizumab concentration-time, TMDD (C5 free vs bound), blockade %
Complement PD
C3 pool, C3b AP, C5 convertase, MAC flux
TMA & Hematology
Platelets, Hgb, LDH, haptoglobin, schistocytes
Renal Outcomes
eGFR trajectory, endothelial injury, dialysis risk, CKD staging
Scenario Compare
All 5 treatment arms overlaid, efficacy summary table
Biomarkers
sC5b-9, CH50, CRP, biomarker correlation dashboard
# Install required packages
install.packages(c(" mrgsolve" ," dplyr" ," ggplot2" ," tidyr" ," patchwork" ,
" shiny" ," shinydashboard" ," plotly" ," DT" ))
source(" ahus_mrgsolve_model.R" )
# → runs 5 treatment scenarios × 365 days
# → generates multi-panel comparison plot
# → prints efficacy summary table at days 28, 84, 180, 365
shiny :: runApp(" ahus_shiny_app.R" )
# → Interactive 8-tab dashboard
# → Parameter sliders: CFH/CFI/CD46 function, AP activation rate, kEI_MAC
# → Scenario selector: 5 treatment arms
# → All plots in plotly (interactive, zoom, download)
With Eculizumab (Standard Dosing):
Day 7 : CH50 → <10% (complement blockade confirmed)
Day 28 : PLT >150 ×10⁹/L in ~80% of patients
Day 84 : eGFR improvement of 25–35 mL/min
Day 365 : Dialysis-free rate ~85% vs ~30% untreated
Natural History (untreated):
Progressive TMA → ESRD within 3–6 months
25% mortality in first acute episode
Persistent dialysis requirement in >50%
Proximal complement inhibition → also addresses C3-mediated hemolysis
Oral bioavailability eliminates IV infusion burden
Covers C3 fragment deposition (missed by anti-C5 agents)
Complement Biomarker Reference Ranges
Biomarker
Normal
Active aHUS
On Eculizumab
CH50
60–144 U/mL (75–100%)
↓↓ (consumed)
<10%
sC5b-9
<244 ng/mL
>2000 ng/mL
<244 ng/mL
C3
1.0–1.8 g/L
↓ (consumed)
Normalizes
C4
0.2–0.4 g/L
Normal (AP)
Normal
PLT
150–400 ×10⁹/L
<150
Recovers
LDH
<ULN (200 U/L)
>500 U/L
Normalizes
Haptoglobin
0.3–2.0 g/L
<0.1 g/L
Normalizes
atypical-hemolytic-uremic-syndrome/
├── ahus_qsp_model.dot ← Graphviz mechanistic map source
├── ahus_qsp_model.svg ← Scalable diagram (13 clusters, 130+ nodes)
├── ahus_qsp_model.png ← High-res PNG thumbnail (150 dpi)
├── ahus_mrgsolve_model.R ← 18-ODE mrgsolve model, 5 scenarios
├── ahus_shiny_app.R ← Interactive Shiny dashboard (8 tabs)
├── ahus_references.md ← 55 PubMed references (13 sections)
└── README.md ← This file
Fakhouri F et al. Lancet 2017;390:1847–1860. PMID: 28499565
Legendre CM et al. NEJM 2013;368:2169–2181. PMID: 23738544
Jokiranta TS. Blood 2017;129:2847–2856. PMID: 28416507
Rother RP et al. Nat Biotechnol 2007;25:1256–1264. PMID: 17989688
Goodship TH et al. (KDIGO). Kidney Int 2017;91:539–551. PMID: 28131400
See ahus_references.md for all 55 references.
Built by Claude Code Routine | 2026-06-27 | QSP Disease Model Library