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http://dx.doi.org/10.3795/KSME-A.2011.35.11.1355

Development of Three-dimensional Chemotaxis Model for a Single Crawling Cell, Considering the Interaction between the Cell and Substrate  

Song, Ji-Hwan (Dept. of Mechanical Engineering, Sogang Univ.)
Kim, Dong-Choul (Dept. of Mechanical Engineering, Sogang Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.35, no.11, 2011 , pp. 1355-1360 More about this Journal
Abstract
The interaction between the cell and the substrate is the most prominent feature affecting the migration of a crawling cell. This paper proposes a three-dimensional dynamic model using the diffuse interface description that reveals the effects of the interaction between a single crawling cell and the substrate during chemotactic migration. To illustrate the effects of interaction between the cell and the substrate, we consider the interfacial energy between the coexistent materials. Multiple mechanisms including the interface energy, chemotaxis effect, and diffusion, are addressed by employing a diffuse interface model.
Keywords
Chemotaxis; Crawling Cell; Interface Energy; Diffuse Interface Model;
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1 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.   DOI
2 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.   DOI   ScienceOn
3 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.   DOI   ScienceOn
4 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.   DOI   ScienceOn
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.   DOI   ScienceOn
6 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.
7 Song, J. and Kim, D., 2010, "Three-Dimensional Chemotaxis Model for a Crawling Neutrophil," Physical Review E, Vol. 82, No. 5, pp. 051902.   DOI
8 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,
9 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.   DOI
10 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.   DOI
11 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.   DOI
12 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.   DOI   ScienceOn
13 Berg, H., 1971, "How to Track Bacteria," Review of Scientific Instruments, Vol. 42, No. 6, pp. 868.   DOI   ScienceOn
14 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.   DOI   ScienceOn
15 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.   DOI   ScienceOn
16 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.
17 Weiner, O. D. et al., 1999, "Spatial Control of Actin Polymerization During Neutrophil Chemotaxis," Nat. Cell Biol., Vol. 1, No. 2, pp. 75-81.   DOI   ScienceOn
18 Zhou, Y. et al., 2004, "Biomaterial Surface- Dependent Neutrophil Mobility," J. Biomed. Mater. Res. A, Vol. 69A, No. 4, pp. 611-620.   DOI
19 Keller, E. F., 1971, "Model for Chemotaxis," J. Theor. Biol. , Vol. 30, No. 2, pp. 225-234.   DOI
20 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.   DOI   ScienceOn
21 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.   DOI   ScienceOn
22 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.
23 Adler, J., 1969, "Chemoreceptors in Bacteria," Science, Vol. 166, No. 3913, pp. 1588-1597.   DOI
24 Lu, W. and Kim, D., 2005, "Engineering Nanophase Self-Assembly with Elastic Field," Acta Mater., Vol. 53, No. 13, pp. 3689-3694.   DOI   ScienceOn
25 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.   DOI   ScienceOn
26 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.   DOI   ScienceOn
27 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.   DOI   ScienceOn
28 Kim, D. and Lu, W., 2004, "Self-Organized Nanostructures in Multi-Phase Epilayers," Nanotechnology, Vol. 15, No. 5, pp. 667-674.   DOI   ScienceOn
29 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.   DOI   ScienceOn
30 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.   DOI   ScienceOn
31 Lu, W. and Kim, D., 2004, "Patterning Nanoscale Structures by Surface Chemistry," Nano Lett., Vol. 4, No. 2, pp. 313-316.   DOI   ScienceOn
32 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.   DOI   ScienceOn
33 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.   DOI
34 Cahn, J. W., 1958, "Free Energy of a Nonuniform System .1. Interfacial Free Energy," J. Chem. Phys., Vol. 28, No. 2, pp. 258-267.   DOI