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A Mathematical Model of Venous Thrombosis Initiation.

ABSTRACT: We present a mathematical model for the initiation of venous thrombosis (VT) due to slow flow and the consequent activation of the endothelial cells (ECs) lining the vein, in the absence of overt mechanical disruption of the EC layer. It includes all reactions of the tissue factor (TF) pathway of coagulation through fibrin formation, incorporates the accumulation of blood cells on activated ECs, accounts for the flow-mediated delivery and removal of coagulation proteins and blood cells from the locus of the reactions, and accounts for the activity of major inhibitors including heparan-sulfate-accelerated antithrombin and activated protein C. The model reveals that the occurrence of robust thrombin generation (a thrombin burst) depends in a threshold manner on the density of TF on the activated ECs and on the concentration of thrombomodulin and the degree of heparan-sulfate accelerated antithrombin activity on those cells. Small changes in any of these in appropriate narrow ranges switches the response between "no burst" and "burst." The model predicts synergies among the inhibitors, both in terms of each inhibitor's multiple targets, and in terms of interactions between the different inhibitors. The model strongly suggests that the rate and extent of accumulation of activated monocytes, platelets, and MPs that can support the coagulation reactions has a powerful influence on whether a thrombin burst occurs and the thrombin response when it does. The slow rate of accumulation of cells supporting coagulation is one reason that the progress of VT is so much slower than that of arterial thrombosis initiated by subendothelial exposure.

SUBMITTER: Elizondo P

PROVIDER: S-EPMC5192478 | biostudies-other | 2016 Dec

REPOSITORIES: biostudies-other

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A Mathematical Model of Venous Thrombosis Initiation.

Elizondo Priscilla P Fogelson Aaron L AL

Biophysical journal 20161201 12

We present a mathematical model for the initiation of venous thrombosis (VT) due to slow flow and the consequent activation of the endothelial cells (ECs) lining the vein, in the absence of overt mechanical disruption of the EC layer. It includes all reactions of the tissue factor (TF) pathway of coagulation through fibrin formation, incorporates the accumulation of blood cells on activated ECs, accounts for the flow-mediated delivery and removal of coagulation proteins and blood cells from the ...[more]

PMID: 28002748

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Project description:BackgroundRecurrent venous thromboembolism (VTE) is common. Current guidelines suggest that patients with unprovoked VTE should continue anticoagulants unless they have a high bleeding risk, whereas all others can stop. Prediction models may refine this dichotomous distinction, but existing models apply only to patients with unprovoked first thrombosis. We aimed to develop a prediction model for all patients with first VTE, either provoked or unprovoked.Methods and findingsData were used from two population-based cohorts of patients with first VTE from the Netherlands (Multiple Environment and Genetic Assessment of Risk Factors for Venous Thrombosis [MEGA] follow-up study, performed from 1994 to 2009; model derivation; n = 3,750) and from Norway (Tromsø study, performed from 1999 to 2016; model validation; n = 663). Four versions of a VTE prediction model were developed: model A (clinical, laboratory, and genetic variables), model B (clinical variables and fewer laboratory markers), model C (clinical and genetic factors), and model D (clinical variables only). The outcome measure was recurrent VTE. To determine the discriminatory power, Harrell's C-statistic was calculated. A prognostic score was assessed for each patient. Kaplan-Meier plots for the observed recurrence risks were created in quintiles of the prognostic scores. For each patient, the 2-year predicted recurrence risk was calculated. Models C and D were validated in the Tromsø study. During 19,201 person-years of follow-up (median duration 5.7 years) in the MEGA study, 507 recurrences occurred. Model A had the highest predictive capability, with a C-statistic of 0.73 (95% CI 0.71-0.76). The discriminative performance was somewhat lower in the other models, with C-statistics of 0.72 for model B, 0.70 for model C, and 0.69 for model D. Internal validation showed a minimal degree of optimism bias. Models C and D were externally validated, with C-statistics of 0.64 (95% CI 0.62-0.66) and 0.65 (95% CI 0.63-0.66), respectively. According to model C, in 2,592 patients with provoked first events, 367 (15%) patients had a predicted 2-year risk of >10%, whereas in 1,082 patients whose first event was unprovoked, 484 (45%) had a predicted 2-year risk of <10%. A limitation of both cohorts is that laboratory measurements were missing in a substantial proportion of patients, which therefore were imputed.ConclusionsThe prediction model we propose applies to patients with provoked or unprovoked first VTE-except for patients with (a history of) cancer-allows refined risk stratification, and is easily usable. For optimal individualized treatment, a management study in which bleeding risks are also taken into account is necessary.

Project description:ObjectiveVenous thrombosis (VT) damages the vein wall, both physically by prolonged distension and from inflammation. These factors contribute to post-thrombotic syndrome (PTS). Interleukin (IL)-6 might play a role in experimental PTS and vein wall responses. Previous assessments of post-thrombotic vein wall injury used static measures such as histologic examination and immunologic assays. The purpose of the present study was to use myography to quantify the changes in contraction and relaxation of murine vessels exposed to an acute VT.MethodsWild-type (WT) C57BL/6 mice were used to determine the baseline vein wall passive tension on a DMT 610m myograph (DMT-USA, Inc., Ann Arbor, Mich), including dosing concentrations of phenylephrine (Phe) and acetylcholine (Ach). WT and IL-6-/- mice underwent VT using inferior vena cava (IVC) ligation (complete stasis) and stenosis (partial stasis), with no-surgery mice used as controls. The mice were harvested at 2 days (2D) and analyzed using a myograph. The vessels were stimulated with Phe and Ach to stimulate a contraction and relaxation response. The endothelial responses to VT were quantified by CD31 immunohistochemistry, Greiss assay, polymerase chain reaction, and Evans blue assay.ResultsOptimal passive tension was determined to be 2 mN, with an optimal concentration of Phe and Ach of 7E-3M and 1E-5M, respectively. No significant differences were found in the contractions when exposed to Phe between the WT control, WT 2D ligation, and WT 2D stenosis IVC segments and the IL-6-/- mice with and without thrombus (P > .05 for all). When treated with Ach, significantly more relaxation was found in the nonthrombosed control IVC segments than in those IVC segments that had had a 2D thrombus from either ligation- or stenosis-derived thrombotic mechanisms in both WT and IL-6-/- mice. CD31 staining showed ?20% less luminal endothelium after stasis thrombosis (P ? .01) but no loss in the controls (P > .05). Evans blue staining showed a trend toward increased leakiness in post-thrombotic vein walls. No significant difference in the endothelial gene markers or nitric oxide production was found.ConclusionsCompared with the controls, acute thrombosis in the total or partial stasis models did not impair IVC contractile responses, suggesting no effect on the medial vascular smooth muscle response. The relaxation response was significantly reduced in the post-thrombotic groups, likely from direct endothelial injury. These findings suggest, at acute points, that VT impairs the endothelial function of a vein wall while retaining the vascular smooth muscle cell function and might be a mechanism that promotes PTS.

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A Mathematical Model of Venous Thrombosis Initiation.

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A Mathematical Model of Venous Thrombosis Initiation.

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