[Non-linear analysis of arterial pressure]

Area of Science:

• Physiology
• Mathematical Modeling
• Biomedical Engineering

Context:

• Arterial pressure regulation is a complex physiological process involving multiple feedback mechanisms.
• Existing models may lack accessibility or require advanced computational skills.
• Understanding short, medium, and long-term regulatory responses is crucial for clinical applications.

Purpose:

• To describe a macroscopic nonlinear mathematical model for simulating arterial pressure regulation.
• To validate the model's utility and accuracy using data from canine experiments and clinical research.
• To provide a tool for qualitative and quantitative analysis of physiological events during blood pressure disturbances.

Summary:

• A nonlinear mathematical model simulating arterial pressure regulation mechanisms (short, medium, and long-term) was developed.
• The model's performance was validated against experimental data from dogs and clinical research findings.
• It allows for the assessment of physiological event sequences following disturbances in blood pressure control.

Impact:

• The model offers a practical tool for both clinical and experimental settings, simplifying the study of blood pressure regulation.
• It enhances the understanding of the physiological dynamics involved in maintaining normal arterial pressure.
• Its ease of use, without requiring computer expertise, promotes wider adoption in research and practice.