Influence of Red Blood Cell Deformation and Clustering on CO Uptake

Yaling Liu and Wing Kam Liu



Blood flow supplies oxygen to and carries CO away from the human body in the alveolar region of lungs. The gas diffusing capacity, in particular the Carbon Monoxide (CO) uptake rate, largely determines the lung efficiency. The pulmonary diffusing capacity has been revealed to be impacted by various factor such as flow rate, red blood cell (RBC) distribution, and RBC shape. Uniform capillaries with diameter close to that of the RBC have been found to induce large distortion of RBCs, while non-uniform capillaries usually lead to clustering of RBCs near contraction regions or capillary branches. Both distortion and clustering of RBC introduce errors in morphometric estimates of diffusing capacity. So far, the study of the influence of these two factors are still limited at 2D static case and simple disk-shape rigid RBC geometry. In this paper, we couple fluid-structure interaction with gas diffusion problem. The RBCs motion and deformation in capillary is simulated through the Immersed Finite Element Method (IFEM). The gas diffusion into moving and deforming RBCs under various geometries is studied. It is found that when the RBCs are distorted, the CO flux across membrane becomes nonuniform, leading to a larger diffusion capacity. Our simulation also revealed a significant decrease of diffusion capacity for clustered RBCs compared to uniformly distributed RBCs. To our knowledge, this is the first paper that simulate the dynamic process of gas diffusion on deformable RBCs in capillary flow in three-dimension. By analyzing the CO diffusion capacity dynamically in complex geometries and flow conditions, our simulation may help compensate for error in morphometric estimates and better interpret experimental measurement.

Index Terms Diffusion capacity, cell deformation, cell clustering, capillary flow.