Estimating respiratory parameters using intra-arterial partial pressure measurements and stochastic differential equations

Stochastic differential equations are assuming an important role in the definition of dynamical models allowing for explanation of internal variability. Here we propose a new model for the dynamics of respiratory circulation in ventilated neonates. Such model is potentially important for maintaining the oxygen and carbon dioxide blood levels of preterm infants. We present mathematical and statistical models of partial pressure in the arterial blood. Our mathematical model includes physiological compartments, diffusion exchange and mass transfer. We introduce system noise as a part of tissue oxygen uptake dictated by metabolism. We evaluate the applicability of our techniques using a real data set of intra-arterial pressure measurements.