Optimal control evaluation of left ventricular systolic dynamics

Area of Science:

• Cardiovascular Physiology
• Biomedical Engineering
• Computational Biology

Background:

• The heart's energy utilization is crucial for function.
• Myocardial oxygen consumption is a key metric for cardiac efficiency.
• Understanding factors influencing cardiac energy use is vital for treating heart conditions.

Purpose of the Study:

• To develop a mathematical model of the left ventricle.
• To create an adaptive control law for minimizing cardiac oxygen consumption.
• To predict ventricular dynamics based on physiological parameters.

Main Methods:

• Modeled the left ventricle as a time-varying compliance.
• Incorporated nonlinear aortic valve resistance, blood inertance, and Windkessel arterial model.
• Utilized Pontryagin maximum principle to solve the optimal control problem.
• Defined myocardial oxygen consumption based on wall tension, inotropic state, and mechanical work.

Main Results:

• The model accurately predicted systolic ventricular pressure and volume time courses.
• The model successfully predicted changes in isovolumic contraction and ejection duration.
• Predictions aligned well with experimental data across various conditions.

Conclusions:

• The developed model effectively simulates left ventricular function.
• The adaptive control law successfully minimizes myocardial oxygen consumption.
• The model provides valuable insights into cardiac energetics and mechanics.