# A Novel Simplified Model for Blood Coagulation: A piecewise dynamical model for thrombin with robust predictive capabilities

## TL;DR

This paper introduces a simplified piecewise dynamical model for thrombin activity in blood coagulation, capable of predicting prolonged enzyme activity in specific plasma conditions, aiding patient-specific clotting analysis.

## Contribution

It presents a novel, simplified switching model for thrombin dynamics that captures prolonged activity, advancing the understanding of clotting behavior in patient-specific scenarios.

## Key findings

- Model accurately predicts prolonged thrombin activity.
- Simplified variables effectively describe complex clotting dynamics.
- Potential for studying patient-specific clotting in realistic geometries.

## Abstract

Realistic description of patient-specific mechanical properties of clotting dynamics presents a major challenge. Available patient-specific data falls short of robustly characterizing myriads of complex dynamic interactions that happen during clotting. We propose a simplified switching model for a key part of the coagulation cascade that describes dynamics of just four variables. The model correctly predicts prolonged activity of thrombin, an important enzyme in the clotting process, in certain plasma factor compositions. The activity sustains beyond the time which is conventionally considered to be the end of clotting. This observation along with the simplified model is hypothesized as a necessary step towards effectively studying patient-specific properties of clotting dynamics in realistic geometries.