A mathematical model of the four cardinal acid-base disorders

Area of Science:

• Physiological modeling
• Biochemical systems analysis
• Computational biology

Background:

• Acid-base homeostasis is crucial for physiological and cellular functions.
• Acid-base disturbances impact clinical outcomes and are linked to underlying diseases.
• Accurate assessment of acid-base status and therapeutic effectiveness is clinically important.

Purpose of the Study:

• To develop a dynamic model of the bicarbonate/carbon dioxide buffering system using Henderson-Hasselbalch kinetics.
• To simulate normal physiological states and four cardinal acid-base disorders.
• To validate the model against clinical data and identify key regulatory parameters.

Main Methods:

• Development of a dynamic model based on Henderson-Hasselbalch kinetics.
• Simulation of normal acid-base balance and four primary acid-base disorders.
• In silico validation using clinical data and sensitivity analysis.

Main Results:

• The model accurately predicts serum pH across various clinical conditions.
• Clear relationships between primary acid-base disturbances and secondary compensatory responses were identified.
• Key parameters regulating systemic pH in healthy individuals and those with specific renal tubular acidosis were identified.

Conclusions:

• The developed model provides pathophysiological insights into acid-base regulation.
• The model can serve as a tool to evaluate the safety and efficacy of therapeutic interventions for acid-base disorders.
• The model accurately predicts compensatory responses to primary acid-base disturbances.