Dynamic ray tracing for modeling optical cell manipulation

Current methods for predicting stress distribution on a cell surface due to optical trapping forces are based on a traditional ray optics scheme for fixed geometries. Cells are typically modeled as solid spheres as this facilitates optical force calculation. Under such applied forces however, real and non-rigid cells can deform, so assumptions inherent in traditional ray optics methods begin to break down. In this work, we implement a dynamic ray tracing technique to calculate the stress distribution on a deformable cell induced by optical trapping. Here, cells are modeled as three-dimensional elastic capsules with a discretized surface with associated hydrodynamic forces calculated using the Immersed Boundary Method. We use this approach to simulate the transient deformation of spherical, ellipsoidal and biconcave capsules due to external optical forces induced by a single diode bar optical trap for a range of optical powers.

[1]  D. Prieve,et al.  Prediction and measurement of the optical trapping forces on a microscopic dielectric sphere , 1992 .

[2]  Y. C. Fung,et al.  Improved measurements of the erythrocyte geometry. , 1972, Microvascular research.

[3]  Aleksander S Popel,et al.  Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow. , 2005, Journal of biomechanical engineering.

[4]  Yunlong Sheng,et al.  One-dimensional jumping optical tweezers for optical stretching of bi-concave human red blood cells. , 2008, Optics express.

[5]  S. Hénon,et al.  A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers. , 1999, Biophysical journal.

[6]  Tomas Akenine-Möller,et al.  An Evaluation Framework for Ray-Triangle Intersection Algorithms , 2005, J. Graph. Tools.

[7]  Yunlong Sheng,et al.  Local scattering stress distribution on surface of a spherical cell in optical stretcher. , 2006, Optics express.

[8]  Tomas Akenine-Möller,et al.  Fast, minimum storage ray/triangle intersection , 1997, J. Graphics, GPU, & Game Tools.

[9]  Stefan Schinkinger,et al.  Optical rheology of biological cells. , 2005, Physical review letters.

[10]  C. Lim,et al.  Biomechanics approaches to studying human diseases. , 2007, Trends in biotechnology.

[11]  Chwee Teck Lim,et al.  Connections between single-cell biomechanics and human disease states: gastrointestinal cancer and malaria. , 2005, Acta biomaterialia.

[12]  A. Ashkin,et al.  Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime. , 1992, Biophysical journal.

[13]  G J Streekstra,et al.  A new method to study shape recovery of red blood cells using multiple optical trapping. , 1995, Biophysical journal.

[14]  Adriana Fontes,et al.  Mechanical properties of stored red blood cells using optical tweezers , 1998, SPIE Optics + Photonics.

[15]  A. Popel,et al.  Large deformation of red blood cell ghosts in a simple shear flow. , 1998, Physics of fluids.

[16]  A. Ashkin Acceleration and trapping of particles by radiation pressure , 1970 .

[17]  J. Käs,et al.  Optical deformability of soft biological dielectrics. , 2000, Physical review letters.

[18]  Sandor Kasas,et al.  Deformation and height anomaly of soft surfaces studied with an AFM , 1993 .

[19]  Dominique Barthès-Biesel,et al.  Transient response of a capsule subjected to varying flow conditions: Effect of internal fluid viscosity and membrane elasticity , 2000 .

[20]  Sameer Jadhav,et al.  Roles of cell and microvillus deformation and receptor-ligand binding kinetics in cell rolling. , 2008, American journal of physiology. Heart and circulatory physiology.

[21]  R. Hochmuth,et al.  Micropipette aspiration of living cells. , 2000, Journal of biomechanics.

[22]  D. Badouel An efficient ray-polygon intersection , 1990 .

[23]  J. Käs,et al.  The optical stretcher: a novel laser tool to micromanipulate cells. , 2001, Biophysical journal.

[24]  John Tsamopoulos,et al.  Spherical capsules in three-dimensional unbounded Stokes flows: effect of the membrane constitutive law and onset of buckling , 2004, Journal of Fluid Mechanics.

[25]  H. V. Hulst Light Scattering by Small Particles , 1957 .

[26]  Erich Hoover,et al.  Cell deformation cytometry using diode-bar optical stretchers. , 2010, Journal of biomedical optics.

[27]  C. Peskin,et al.  A three-dimensional computational method for blood flow in the heart. 1. Immersed elastic fibers in a viscous incompressible fluid , 1989 .

[28]  Erik Reinhard,et al.  Dynamic Acceleration Structures for Interactive Ray Tracing , 2000, Rendering Techniques.

[29]  C. Tropea,et al.  Light Scattering from Small Particles , 2003 .

[30]  S. Suresh,et al.  Effect of plasmodial RESA protein on deformability of human red blood cells harboring Plasmodium falciparum , 2007, Proceedings of the National Academy of Sciences.

[31]  Stefan Schinkinger,et al.  Optical deformability as an inherent cell marker for testing malignant transformation and metastatic competence. , 2005, Biophysical journal.