References
- Berg, H. C. and Brown, D. A., 1972, "Chemotaxis in Escherichia coli Analysed by Three-Dimensional Tracking," Nature, Vol. 239, No. 5374, pp. 500-504. https://doi.org/10.1038/239500a0
- Nelson, R. D., Quie, P. G. and Simmons, R. L., 1975, "Chemotaxis Under Agarose: A New and Simple Method for Measuring Chemotaxis and Spontaneous Migration of Human Polymorphonuclear Leukocytes and Monocytes," J. Immunol., Vol. 115, pp. 1650-1656.
- Adler, J., 1969, "Chemoreceptors in Bacteria," Science, Vol. 166, No. 3913, pp. 1588-1597. https://doi.org/10.1126/science.166.3913.1588
- Zigmond, S. H., 1977, "Ability of Polymorphonuclear Leukocytes to Orient in Gradients of Chemotactic Factors," J. Cell Biol., Vol. 75, No. 2, pp. 606-616. https://doi.org/10.1083/jcb.75.2.606
- Jeon, N. L. et al., 2002, "Neutrophil Chemotaxis in Linear and Complex Gradients of Interleukin-8 Formed in a Microfabricated Device," Nat. Biotechnol., Vol. 20, No. 8, pp. 826-830. https://doi.org/10.1038/nbt712
- Adler, J., 1973, "A Method for Measuring Chemotaxis and Use of the Method to Determine Optimum Conditions for Chemotaxis by Escherichia Coli," J. Gen. Microbiol., Vol. 74, No. 1, pp. 77-91. https://doi.org/10.1099/00221287-74-1-77
- Ford, R. M. et al., 1991, "Measurement of Bacterial Random Motility and Chemotaxis Coefficients .1. Stopped-Flow Diffusion Chamber Assay," Biotechnol. Bioeng., Vol. 37, No. 7, pp. 647-660. https://doi.org/10.1002/bit.260370707
- Lewus, P. and Ford, R. M., 2001, "Quantification of Random Motility and Chemotaxis Bacterial Transport Coefficients Using Individual-Cell and Population- Scale Assays," Biotechnol. Bioeng., Vol. 75, No. 3, pp. 292-304. https://doi.org/10.1002/bit.10021
- Berg, H., 1971, "How to Track Bacteria," Review of Scientific Instruments, Vol. 42, No. 6, pp. 868. https://doi.org/10.1063/1.1685246
- Diao, J. P., 2006, "A Three-Channel Microfluidic Device for Generating Static Linear Gradients and Its Application to the Quantitative Analysis of Bacterial Chemotaxis," Lab. Chip, Vol. 6, No. 3, pp. 381-388. https://doi.org/10.1039/b511958h
- Frevert, C. W. et al., 2006, "Measurement of Cell Migration in Response to an Evolving Radial Chemokine Gradient Triggered by a Microvalve," Lab Chip., Vol. 6, No. 7, pp. 849-856. https://doi.org/10.1039/b515560f
- Tharp, W. G. et al., 2006, "Neutrophil Chemorepulsion in Defined Interleukin-8 Gradients in Vitro and in Vivo," J. Leukocyte Biol., Vol. 79, No. 3, pp. 539-554.
- Weiner, O. D. et al., 1999, "Spatial Control of Actin Polymerization During Neutrophil Chemotaxis," Nat. Cell Biol., Vol. 1, No. 2, pp. 75-81. https://doi.org/10.1038/10042
- Zhou, Y. et al., 2004, "Biomaterial Surface- Dependent Neutrophil Mobility," J. Biomed. Mater. Res. A, Vol. 69A, No. 4, pp. 611-620. https://doi.org/10.1002/jbm.a.30015
- Balaban, N. Q. et al., 2001, "Force and Focal Adhesion Assembly: A Close Relationship Studied Using Elastic Micropatterned Substrates," Nature Cell Biology, Vol. 3, No. 5, pp. 466-472. https://doi.org/10.1038/35074532
- Keller, E. F., 1971, "Model for Chemotaxis," J. Theor. Biol. , Vol. 30, No. 2, pp. 225-234. https://doi.org/10.1016/0022-5193(71)90050-6
- Ford, R. M. and Lauffenburger, D. A., 1991, "Analysis of Chemotactic Bacterial Distributions in Population Migration Assays Using a Mathematical- Model Applicable to Steep or Shallow Attractant Gradients," B. Math. Biol., Vol. 53, No. 5, pp. 721-749. https://doi.org/10.1007/BF02461551
- Lapidus, R. I. and Schiller, R., 1976, "Model for the Chemotactic Response of a Bacterial Population," Biophys. J., Vol. 16, No. 7, pp. 779-789. https://doi.org/10.1016/S0006-3495(76)85728-1
- Painter, K. J. and Sherratt, J. A., 2003, "Modelling the Movement of Interacting Cell Populations," J. Theor. Biol., Vol. 225, No. 3, pp. 327-339. https://doi.org/10.1016/S0022-5193(03)00258-3
- Rivero, M. A., 1989, "Transport Models for Chemotactic Cell-Populations Based on Individual Cell Behavior," Chem. Eng. Sci., Vol. 44, No. 12, pp. 2881-2897. https://doi.org/10.1016/0009-2509(89)85098-5
- Jabbarzadeh, E. and Abrams, C. F., 2005, "Chemotaxis and Random Motility in Unsteady Chemoattractant Fields: a Computational Study," J. Theor. Biol., Vol. 235, No. 2, pp. 221-232. https://doi.org/10.1016/j.jtbi.2005.01.005
- Stokes, C. L., Lauffenburger, D. A. and Williams, S. K., 1991, "Migration of Individual Microvessel Endothelial-Cells - Stochastic-Model and Parameter Measurement," J. Cell Sci., Vol. 99, pp. 419-430.
- Song, J. and Kim, D., 2010, "Three-Dimensional Chemotaxis Model for a Crawling Neutrophil," Physical Review E, Vol. 82, No. 5, pp. 051902. https://doi.org/10.1103/PhysRevE.82.051902
- Linan, Z., Song, J. and Kim, D., 2010, "A Study on Cancer-Cell Invasion Based on Multi-Physics Analysis Technology," Biochip Journal, Vol. 4, No. 2,
- Song, J. and Kim, D., 2010, "Development of Three-Dimensional Haptotaxis Model for Single Crawling Cell," Biochip Journal, Vol. 4, No. 3, pp. 184-188. https://doi.org/10.1007/s13206-010-4304-8
- Song, J. H. and Kim, D., 2009, "Three-Dimensional Chemotaxis Model for a Single Bacterium," J. Comput. Theor. Nanos., Vol. 6, No. 7, pp. 1687-1693. https://doi.org/10.1166/jctn.2009.1231
- Kim, D. and Lu, W., 2004, "Self-Organized Nanostructures in Multi-Phase Epilayers," Nanotechnology, Vol. 15, No. 5, pp. 667-674. https://doi.org/10.1088/0957-4484/15/5/045
- Kim, D. and Lu, W., 2006, "Creep Flow, Diffusion, and Electromigration in Small Scale Interconnects," J. Mech. Phys. Solids, Vol. 54, No. 12, pp. 2554-2568. https://doi.org/10.1016/j.jmps.2006.06.001
- Kim, D. and Lu, W., 2006, "Three-Dimensional Model of Electrostatically Induced Pattern Formation in Thin Polymer Films," Phys. Rev. B, Vol. 73, No. 3, pp. 035206. https://doi.org/10.1103/PhysRevB.73.035206
- Lu, W. and Kim, D., 2005, "Engineering Nanophase Self-Assembly with Elastic Field," Acta Mater., Vol. 53, No. 13, pp. 3689-3694. https://doi.org/10.1016/j.actamat.2005.04.021
- Lu, W. and Kim, D., 2004, "Patterning Nanoscale Structures by Surface Chemistry," Nano Lett., Vol. 4, No. 2, pp. 313-316. https://doi.org/10.1021/nl035072d
- Karma, A. and Rappel, W. J., 1998, "Quantitative Phase-Field Modeling of Dendritic Growth in Two and Three Dimensions," Phys. Rev. E, Vol. 57, No. 4, pp. 4323-4349. https://doi.org/10.1103/PhysRevE.57.4323
- Alber, M. et al., 2006, "Multiscale Dynamics of Biological Cells with Chemotactic Interactions: From a Discrete Stochastic Model to a Continuous Description," Phys. Rev. E, Vol. 73, No. 5, pp. 051901. https://doi.org/10.1103/PhysRevE.73.051901
- Cahn, J. W., 1958, "Free Energy of a Nonuniform System .1. Interfacial Free Energy," J. Chem. Phys., Vol. 28, No. 2, pp. 258-267. https://doi.org/10.1063/1.1744102