Venous Thromboembolism (VTE) QSP Model
Deep Vein Thrombosis (DVT) · Pulmonary Embolism (PE) — Comprehensive Quantitative Systems Pharmacology Model
Venous thromboembolism (VTE) — encompassing deep vein thrombosis (DVT) and pulmonary embolism (PE) — is the third most common cardiovascular disease after myocardial infarction and stroke, affecting 1-2 per 1,000 adults annually. PE carries a 30-day mortality of 1–3% (up to 30% for massive PE) and 2–4% of survivors develop chronic thromboembolic pulmonary hypertension (CTEPH).
This QSP model integrates:
Virchow's Triad (stasis / endothelial injury / hypercoagulability)
Full coagulation cascade (extrinsic + intrinsic + common pathways)
Platelet activation (GPIb, GPVI, PAR1/4, GPIIb/IIIa)
Natural anticoagulants (AT-III, Protein C/S, TFPI)
Fibrinolysis (tPA/uPA-plasmin-D-dimer axis, PAI-1, TAFI)
Multi-drug PK/PD : Rivaroxaban · Apixaban · Dabigatran · Warfarin · Enoxaparin
File
Description
vte_qsp_model.dot
Graphviz mechanistic map (12 clusters, 140+ nodes)
vte_qsp_model.svg
SVG (interactive/vector)
vte_qsp_model.png
PNG 150 dpi
vte_mrgsolve_model.R
mrgsolve ODE model (19 compartments, 6 scenarios)
vte_shiny_app.R
Shiny dashboard (6 tabs)
vte_references.md
57 PubMed references
Mechanistic Map Structure
The .dot file contains 12 subgraph clusters :
#
Cluster
Key Nodes
①
Virchow's Triad & Risk Factors
Stasis, Endothelial Injury, Hypercoagulability; FV Leiden, PT G20210A, APS, OCP
②
Vascular Endothelium
TF expression, vWF release, PGI2/NO, TM, EPCR, tPA, PAI-1
③
Extrinsic Pathway (TF)
TF exposed, FVII/FVIIa, TF-FVIIa tenase, TFPI inhibition
④
Intrinsic Pathway (Contact)
FXII → kallikrein → FXIa → FIXa, FVIII/FVIIIa, Intrinsic Tenase
⑤
Common Pathway / Thrombin
FXa, Prothrombinase, Thrombin (FIIa), Fibrinogen → Fibrin cross-linked
⑥
Platelet Activation
GPIb/GPVI, PAR1/4, ADP/P2Y12, TXA2, GPIIb/IIIa, PS exposure
⑦
Natural Anticoagulants
AT-III/Heparan sulfate, APC-Protein S, TFPI-FXa
⑧
Fibrinolysis
Plasminogen, tPA/uPA, Plasmin, PAI-1, α2-antiplasmin, TAFI, D-dimer
⑨
Drug PK
Rivaroxaban (2-cmt), Apixaban (1-cmt), Dabigatran, Warfarin, Enoxaparin, Alteplase
⑩
Drug PD
FXa inhibition (DOAC), DTI (Dabigatran), VKA (Warfarin VK cycle), Heparin-AT
⑪
Lab Monitoring
PT/INR, aPTT, Anti-Xa, TT/ECT, D-dimer, Thrombin generation
⑫
Clinical Endpoints
Proximal/Distal DVT, Low-risk PE, Submassive PE, Massive PE, CTEPH, PTS
mrgsolve Model: 19 ODE Compartments
Compartment
Drug
Key Parameters
RIV_GUT, RIV_CENT, RIV_PERIPH
Rivaroxaban
Ka=1.2/h, CL=4.8L/h, V1=33L, t½=5-9h
APIX_CENT
Apixaban
Ka=0.78/h, CL=3.3L/h, V1=23L, t½=12h
DABI_CENT
Dabigatran
Ka=0.35/h, F=6.5%, CL=8.5L/h (renal), t½=12-17h
WARF_CENT
Warfarin
Ka=0.9/h, CL=0.2L/h (CYP2C9), t½=36h
ENOX_CENT
Enoxaparin
Ka=0.23/h, CL=0.82L/h, F=92% SC
Compartment
Represents
FXa_ACT
Active Factor Xa (inhibited by DOAC/LMWH-AT)
FIIa_ACT
Active Thrombin (inhibited by dabigatran/FXa cascade)
FIBRIN_FORM
Fibrin formation/lysis balance
CLOT_SIZE
Thrombus burden (0-100%)
PLASMIN_ACT
Fibrinolytic plasmin activity
DDIMER_CONC
D-dimer (ng/mL) — fibrinolysis marker
VK_OX, VK_RED
Vitamin K cycle (Warfarin indirect PD)
FVII_POOL, FX_POOL, FII_POOL
VK-dependent factor pools (%, t½ 5-60h)
FXa Inhibitors : Hill Emax model; Rivaroxaban EC50=12 ng/mL; Apixaban EC50=5 ng/mL
Dabigatran : Direct thrombin inhibition; EC50=35 ng/mL
Warfarin : Indirect response via VK reduction → ↓ factor synthesis (γ-carboxylation)
LMWH : ATIII activation → FXa inhibition; EC50=0.35 IU/mL Anti-Xa
Dabigatran CL adjusted: CL_eff = CL_DABI × (eGFR/90)^0.85
Enoxaparin CL adjusted: CL_eff = CL_ENOX × (eGFR/90)^0.65
#
Scenario
Regimen
Clinical Setting
1
DVT: Rivaroxaban
15 mg BID × 21d → 20 mg QD
Acute DVT (confirmed)
2
PE: Apixaban
10 mg BID × 7d → 5 mg BID
Acute PE (stable)
3
Warfarin + Bridge
Warfarin 5 mg QD + Enoxaparin 1 mg/kg BID × 10d
Classic bridging therapy
4
Prophylaxis: Enoxaparin
40 mg QD SC × 14d
Post-surgical VTE prevention
5
Extended: Rivaroxaban
10 mg QD × 180d
Secondary VTE prevention
6
CKD: Dabigatran
110 mg BID (GFR 30 vs. 90)
Renal impairment sensitivity
Tab
Content
① Patient Profile
Demographics, Virchow's Triad risk factors, Wells score (DVT/PE), treatment duration recommendation, drug selection based on contraindications
② Drug PK
Rivaroxaban/Apixaban/Enoxaparin/Dabigatran/Warfarin plasma profiles; Cmax/trough info boxes; renal impairment comparison
③ Coagulation PD
FXa/FIIa inhibition, thrombin generation (ETP), Warfarin factor depletion/INR, Emax concentration-effect curves
④ Thrombus Dynamics
Clot resolution over time, fibrin-plasmin balance, D-dimer normalization; info boxes for Day 7/30/90 clot %
⑤ Scenario Comparison
Side-by-side 6-scenario comparison on any endpoint; efficacy/safety summary table
⑥ Biomarker Dashboard
INR, Anti-Xa, D-dimer, coagulation cascade activity; biomarker interpretation guide
# 1. Install dependencies
install.packages(c(" mrgsolve" , " dplyr" , " ggplot2" , " tidyr" , " shiny" ,
" shinydashboard" , " plotly" , " DT" , " purrr" ))
# 2. Run mrgsolve simulation (6 scenarios)
source(" vte_mrgsolve_model.R" )
# 3. Launch Shiny dashboard
shiny :: runApp(" vte_shiny_app.R" )
# 4. Render mechanistic map
dot -Tsvg vte_qsp_model.dot -o vte_qsp_model.svg
dot -Tpng -Gdpi=150 vte_qsp_model.dot -o vte_qsp_model.png
Key Clinical Parameters Calibrated to Trials
Parameter
Value
Clinical Source
Rivaroxaban Cmax (15 mg fed)
~270 ng/mL
Mueck et al., 2011
Apixaban EC50 (FXa inhib.)
5 ng/mL
Frost et al., 2013
Dabigatran t½ (GFR 90)
12-17h
Stangier et al., 2008
Warfarin FVII t½
~5.7h (earliest INR rise)
Holford, 1986
Enoxaparin Tmax Anti-Xa
3-5h (SC)
Hulot et al., 2004
DVT 3-month recurrence (unprovoked)
~10%
Kyrle et al., 2004
PE CTEPH rate
2-4%
Pengo et al., 2004
CC BY 4.0 — QSP Disease Model Library | pipetcpt/qsp
Model generated 2026-06-23 by Claude Code Routine (CCR)