Physical and mathematical evaluation of the carbon dioxide pressure in arterial blood

Abstract

From the theory of dynamical systems cardiac dynamics have been diagnosed with clinical applicability. In this work was developed a methodology for evaluating the arterial pressure of carbon dioxide for patients in the Intensive Care Unit, from the theory of dynamical systems. For the study, 10 patients were selected, recording the arterial pressure of carbon dioxide during their time of stay in the Postsurgical Intensive Care Unit of the Central Military Hospital. From these values representative chaotic attractors were constructed for this variable on a delay map. Finally the minimum and maximum values of the attractor were quantified. Chaotic behavior of dynamic was confirmed; the maximum and minimum values of the attractors of arterial pressure of carbon dioxide varied between 14.40 and 76.50 mmHg. The chaotic behavior of the arterial pressure of carbon dioxide is quantifiable from the evaluation of the maximum and minimum values of attractors on the delay map, constituting a new mathematical method, for objective and reproducible evaluation, useful for evaluating patients in Intensive Care Unit.