The content describes a multiscale, closed-loop blood circulation model that simulates blood flow through the arterial, venous, and portal venous systems, as well as the heart-pulmonary circulation and microcirculation in capillaries.
The model uses one-dimensional (1D) equations to simulate large blood vessel flow and zero-dimensional (0D) models for simulating blood flow in vascular subsystems corresponding to peripheral arteries and organs. Transmission conditions at bifurcations and confluences are solved using Riemann invariants.
The portal venous system and related organs (liver, stomach, spleen, pancreas, intestine) are particularly targeted, as these organs play important roles in metabolic system dynamics.
An efficient parallel algorithm is proposed to solve these equations much faster than serial computations, enabling the simulation of the entire closed-loop blood circulation network. The parallel implementation uses a minimization problem approach to achieve rapid convergence.
The numerical results show good agreement with physiological data, validating the model. The parallel computation achieves significant speedup and efficiency, making the comprehensive simulation of the entire human blood circulation network practical.
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arxiv.org
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by Jiawei Liu,H... at arxiv.org 04-03-2024
https://arxiv.org/pdf/2404.01680.pdfDeeper Inquiries