An adjoint-based method for the computation of gradients in coagulation schemes

Area of Science:

• Computational Biology
• Biochemistry
• Mathematical Modeling

Background:

• Mathematical models are crucial for understanding the complex dynamics of the coagulation cascade.
• Current gradient computation methods can be computationally expensive, limiting their application in detailed models.

Purpose of the Study:

• To propose and validate an adjoint-based methodology for computing model gradients in the coagulation cascade.
• To assess the efficiency and accuracy of this new method for complex biological systems.

Main Methods:

• Developed an adjoint-based approach for gradient computation.
• Validated the method on a simplified 3-species model.
• Applied the method to a detailed 34-species model of the extrinsic coagulation pathway.

Main Results:

• The adjoint method accurately computes gradients for key hemostasis parameters like Endogenous Thrombin Potential and clotting time.
• Gradient estimates are consistent with finite difference approximations.
• The adjoint method offers significantly lower computational cost.

Conclusions:

• Adjoint-based methodology provides an efficient and accurate tool for sensitivity analysis of coagulation models.
• This method facilitates a deeper understanding of blood clotting mechanisms and related disorders.