A lumped parameter mathematical model of the splanchnic circulation.

Area of Science:

• Physiology
• Biomedical Engineering
• Mathematical Modeling

Background:

• The splanchnic circulation's complex hemodynamics are not fully understood.
• Accurate modeling is crucial for understanding conditions like portal hypertension.

Purpose of the Study:

• To develop a lumped parameter mathematical model for splanchnic blood propulsion.
• To investigate the relationship between hepatic venous pressure, portal hypertension, and liver interstitial fluid volume.

Main Methods:

• Integrated principles of mechanics and physiology.
• Derived governing equations considering portal vein, hepatic vein, liver sinusoids, and lymphatic contractility.
• Simulated the derived equations using a computer.

Main Results:

• The model successfully described blood propulsion in the splanchnic circulation.
• Simulation results supported the hypothesis that hepatic venous pressure elevation leads to portal hypertension.
• Demonstrated a correlation between increased hepatic venous pressure and elevated liver interstitial fluid volume.

Conclusions:

• The developed mathematical model provides a valuable tool for studying splanchnic hemodynamics.
• The findings reinforce the link between hepatic venous pressure and the pathogenesis of portal hypertension and fluid accumulation in the liver.