title: MD/DPD Multiscale Framework for Predicting Morphology and Stresses of Red Blood Cells in Health and Disease.
abstract: Healthy red blood cells (RBCs) have remarkable deformability, squeezing through narrow capillaries as small as 3 microns in diameter without any damage. However, in many hematological disorders the spectrin network and lipid bilayer of diseased RBCs may be significantly altered, leading to impaired functionality including loss of deformability. We employ a two-component whole-cell multiscale model to quantify the biomechanical characteristics of the healthy and diseased RBCs, including Plasmodium falciparum-infected RBCs (Pf-RBCs) and defective RBCs in hereditary disorders, such as spherocytosis and elliptocytosis. In particular, we develop a two-step multiscale framework based on coarse-grained molecular dynamics (CGMD) and dissipative particle dynamics (DPD) to predict the static and dynamic responses of RBCs subject to tensile forcing, using experimental information only on the structural defects in the lipid bilayer, cytoskeleton, and their interaction. We first employ CGMD on a small RBC patch to compute the shear modulus, bending stiffness, and network parameters, which are subsequently used as input to a whole-cell DPD model to predict the RBC shape and corresponding stress field. For Pf-RBCs at trophozoite and schizont stages, the presence of cytoadherent knobs elevates the shear response in the lipid bilayer and stiffens the RBC membrane. For RBCs in spherocytosis and elliptocytosis, the bilayer-cytoskeleton interaction is weakened, resulting in substantial increase of the tensile stress in the lipid bilayer. Furthermore, we investigate the transient behavior of stretching deformation and shape relaxation of the normal and defective RBCs. Different from the normal RBCs possessing high elasticity, our simulations reveal that the defective RBCs respond irreversibly, i.e., they lose their ability to recover the normal biconcave shape in successive loading cycles of stretching and relaxation. Our findings provide fundamental insights into the microstructure and biomechanics of RBCs, and demonstrate that the two-step multiscale framework presented here can be used effectively for in silico studies of hematological disorders based on first principles and patient-specific experimental input at the protein level.
authors: Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America.
authors: Hung-Yu
authors: HY
authors: Chang
authors: Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America.
authors: Xuejin
authors: X
authors: Li
authors: Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America.
authors: He
authors: H
authors: Li
authors: Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America.
authors: George Em
authors: GE
authors: Karniadakis
mesh_terms: D000818:Animals; D019245:Compressive Strength / Q000502:physiology; D003198:Computer Simulation; D055119:Elastic Modulus / Q000502:physiology; D004907:Erythrocyte Deformability; D004912:Erythrocytes / Q000473:pathology* / Q000502:physiology*; D004913:Erythrocytes, Abnormal / Q000473:pathology / Q000502:physiology; D006244:Hardness / Q000502:physiology; D006402:Hematologic Diseases / Q000473:pathology* / Q000503:physiopathology*; D006801:Humans; D008955:Models, Cardiovascular; D013314:Stress, Mechanical; D014783:Viscosity