Controlling the thickness of the atherosclerotic plaque by statin medication

Area of Science:

• Cardiovascular Medicine
• Mathematical Biology
• Control Theory

Background:

• Atherosclerosis is a complex, chronic inflammatory arterial disease influenced by multiple factors.
• Current disease management relies on statin therapy to control plaque progression.
• Treatment effectiveness is contingent on the patient's age and intima-media thickness (IMT) at the initiation of statin therapy.

Purpose of the Study:

• To develop a novel control-theoretic mathematical model for estimating atherosclerosis states.
• To identify the 'viability kernels' representing conditions under which statin therapy can effectively restrain disease progression.
• To provide clinicians with a tool to optimize statin treatment initiation and dosage.

Main Methods:

• Application of control-theoretic principles to model atherosclerosis dynamics.
• Computation of viability kernels, representing sets of [age, IMT] states from which disease progression is controllable.
• Modeling was performed for two different statin treatment doses.

Main Results:

• Two distinct viability kernels were computed, each corresponding to a specific statin dose.
• These kernels define the [age, IMT] ranges where statin treatment is effective in restraining atherosclerosis.
• The study highlights that beyond these kernels, disease and age advancement limit treatment efficacy.

Conclusions:

• The developed mathematical model offers an original approach to understanding and managing atherosclerosis.
• Viability kernels visually represent the trade-offs between early and late statin treatment initiation.
• The findings aid clinicians in making informed decisions regarding the optimal timing and dosage of statin therapy for atherosclerosis control.