Stochastic model of receptor-mediated cytomechanics and dynamic morphology of leukocytes

Journal of Mathematical Biology

Volumn 34, Issue 4, 1996, Pages 361-412

  Tranquillo, Robert T ^a,b  

^a University of Minnesota   (United States)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIN;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL MOTION; CELL SIZE; CHEMORECEPTOR; CYTOLOGY; HUMAN; IN VITRO STUDY; LEUKOCYTE; MATHEMATICS; NEUTROPHIL; PHYSIOLOGY; SIGNAL TRANSDUCTION; STATISTICS;

ACTINS; ANIMALS; CELL MOVEMENT; CELL SIZE; CHEMORECEPTORS; HUMANS; LEUKOCYTES; MATHEMATICS; MODELS, BIOLOGICAL; NEUTROPHILS; SIGNAL TRANSDUCTION; STOCHASTIC PROCESSES;

EID: 0029683846     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/BF00167941     Document Type: Article

References (55)

1. Alt, W.: Mathematical models of actin-myosin interactions. Zoology 34, 1-27 (1987)
2. Alt, W.: Correlation analysis of two-dimensional locomotion paths. In: W. Alt and G. Hoffmann (eds.) Biological Motion, pp. 254-268. Berlin: Springer-Verlag, 1990a
3. Alt, W.: Mathematical models and analysing methods for the lamellipodial activity of leukocytes. In: N. Akkas (eds.) Biomechanics of Active Movement and Deformation of Cells, pp. 403-422. Berlin: Springer-Verlag, 1990b
4. Alt, W. and Kaiser, H. W.: Observation, modeling and simulation of keratinoyte movement. In: N. Akkas (eds.) Biomechanics of Active Movement and Division of Cells, pp. 445-451. Berlin: Springer-Verlag, 1994
5. Alt, W. and Tranquillo, R. T.: Basic morphogenetic system modeling shape changes of migrating cells: How to explain fluctuating lamellipodial dynamics? 2nd Europ Conf on Mathematics Applied in Biology and Medicine, Lyon, World Scientific, 1993.
6. Alt, W. and Tranquillo, R. T.: Fourier analysis of concentration correlations in a chemical reaction-diffusion system on a circular domain, (in preparation), (1996)
7. Bereiter-Hahn, J. and Jueers, H.: The role of elasticity in the motile behavior of cells. In: N. Akkas (eds.) Biomechanics of Active Movement and Division of Cells, pp. 181-230. Berlin: Springer-Verlag, 1994
8. Berg, H. C. and Purcell, E. M.: Physics of chemoreception. Biophys. J. 20,193-219 (1977)
9. Bray, D. and White J. G.: Cortical flow in animal cells. Science 239 (4842), 883-888 (1988)
10. Cassimeris, L. and Zigmond, S. H.: Chemoattractant stimulation of polymoiphonuclear leucocyte locomotion. Semin Cell Biol 1(2), 125-134 (1990)
11. Coates, T., Watts, R., Hartman, R. and Howard, T.: Relationship of F-actin distribution to development of polar shape in human polymorphonuclear neutrophils. J Cell Biol 117(4), 765-774 (1992)
12. Dembo, M.: Field theories of the cytoplasm. Comments Theoretical Biology 1(3), 159-177 (1989)
13. Dembo, M., Harlow, F. H. and Alt, W.: The biophysics of cell surface motility. In: A. S. Perelson, C. DeLisi and F. Wiegel (eds.) Cell Surface Dynamics, pp. 495-542. New York: Marcel Dekker, Inc., 1984
14. Dembo, M., Maltrud, M. and Harlow, F.: Numerical studies of unreactive contractile networks. Biophys J 50(1), 123-137 (1986)
15. Devreotes, P. N. and Zigmond, S. H.: Chemotaxis in eukaryotic cells: a focus on leukocytes and Dictyostelium. Annu Rev Cell Biol 4, 649-686 (1988)
16. Dickinson, R. B. and Tranquillo, R. T.: A stochastic model for adhesion-mediated cell random motility and haptotaxis. J Math Biol 31(6), 563-600 (1993)
17. Dunn, G. A.: Mechanisms of fibroblast locomotion. In: A. S. G. Curtis and J. D. Pitts (eds.) Cell Adhesion and Motility, pp. 409-423. Cambridge University Press, 1980
18. Dunn, G. A. and Brown, A. F.: A unified approach to analysing cell motility. J Cell Sci Suppl 8, 81-102 (1987)
19. Dyett, D. E., Malawista, S. E, Van, B. G., Melnick, D. A. and Malech, H. L.: Functional integrity of cytokineplasts: specific chemotactic and capping responses. J Immunol 135(3), 2090-2094 (1985)
20. Evans, E.: New physical concepts for cell ameoboid motion. Biophys J 64(4), 1306-1322 (1993)
21. Evans, E. and Dembo, M.: Physical model for phagocyte motility: Local growth of a contractile network from a passive body. In: N. Akkas (eds.) Biomechanics of Active Movement and Deformation of Cells, pp. 185-214. Berlin: Springer-Verlag, 1990
22. Gardiner, C. W.: Handbook of Stochastic Methods. 2nd Berlin Heidelberg: Springer-Verlag Springer Series in Synergetics 13 1985
23. Gardiner, C. W., McNeil, K. J., Walls, D. F. and Matheson, I. S.: Correlations in stochastic theories of chemical reactions. J Stat Phys 14(4), 307-331 (1976)
24. Gruler, H. and Franke, K.: Automatic control and directed cell movement. Novel approach for understanding chemotaxis, galvanotaxis, galvanotropism. Z. Naturforsch [c] 45(11-12), 1241-1249(1990)
25. Haston, W. S. and Wilkinson, P. C.: Gradient perception by neutrophil leucocytes. J Cell Sci 87, 373-374 (1987)
26. Heath, J. and Holifield, B.: Cell locomotion: new research tests old ideas on membrane and cytoskeletal flow. Cell Motil Cytoskeleton 18(4), 245-257 (1991)
27. Heubach, S. and Watkins, J. C.: A stochastic model for the motion of a white blood cell. Adv Appl Prob, (in press) (1995)
28. Howard, T. H. and Oresajo, C. O.: The kinetics of chemotactic peptide-induced change in F-actin content, F-actin distribution, and the shape of neutrophils. J Cell Biol 101(3), 1078-1085 (1985)
29. Keller, H. U. and Cottier, H.: Crawling-like movements and polarisation in non-adherent leucocytes. Cell Biol Int Rep 5(1), 3-7 (1981)
30. Lauffenburger, D. A., Farrell, B, Tranquillo, R. T., Kistler, A. and Zigmond, S. H.: Gradient perception by neutrophil leucocytes, continued. J Cell Sci 88, 415-416 (1987)
31. Lauffenburger, D. A. and Liderman, J. J.: Receptors: Models for Binding, Trafficking, and Signaling. New York: Oxford University Press 1993
32. Moghe, P. V. and Tranquillo, R. T.: Stochastic model of chemoattaction-receptor dynamics in leukocyte chemosensory movement. Bull Math Biol 56, 1041-1093 (1994)
33. Murray, J., Vawter-Hugart, H., Voss, E. and Soil, D.: Three-dimensional motility cycle in leukocytes. Cell Moti Cytoskeleton 22(3), 211-223 (1992)
34. Murray, J. D.: Mathematical Biology. New York: Springer Verlag 1990
35. Murray, J. D. and Oster, G. F.: Cell traction models for generating pattern and form in morphogenesis. J Math Biol 19(3), 265-279 (1984)
36. Nossal, R.: Stochastic aspects of biological locomotion. J Stat Phys 30(2), 391-400 (1983)
37. Nossal, R. and Weiss, G. H.: A descriptive theory of cell migration on surfaces. J Theor Biol 47,103-113(1974)
38. Oster, G. F. and Perelson, A. S.: The physics of cell motility. J Cell Sci Suppl 8,35-54 (1987)
39. Othmer, H. G., Dunbar, S. R. and Alt, W.: Models of dispersal in biological systems. J Math Biol 26(3), 263-298 (1988)
40. Papoulis, A.: Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill 1965
41. Pollard, T. D. and Cooper, J. A.: Actin and actin binding proteins: A critical evaluation of mechanisms and functions. Ann Rev Biochem 55, 987-1035 (1986)
42. Purcell, E. M.: Life at low Reynolds number. American Journal of Physics 45(1), 3-11 (1977)
43. Shields, J. M. and Haston, W. S.: Behaviour of neutrophil leucocytes in uniform concentrations of chemotactic factors: contraction waves, cell polarity and persistence. J Cell Sci 74, 75-93 (1985)
44. Skierczynski, B. A., Usami, S. and Skalak, R.: A model of leukocyte migration through solid tissue. In: N. Akkas (eds.) Biomechanics of Active Movement and Division of Cells, pp. 285-328. Berlin: Springer-Verlag, 1994
45. Stossel, T. P.: From signal to pseuodpod: How cells control cytoplasmic actin assembly. J Biol Chem 264(31), 18261-18264 (1989)
46. Sullivan, S. J. and Zigmond, S. H.: Chemotactic peptide receptor modulation in polymorphonuclear leukocytes. J Cell Biol 85(3), 703-711 (1980)
47. Tranquillo, R. T.: Models of chemical gradient sensing by cells. In: W. Alt and G. Hoffmann (eds.) Biological Motion, pp. 415-441. Berlin: Springer-Verlag, 1990
48. Tranquillo, R. T. and Alt, W.: Simulation of chemotactic receptor-mediated cytomechanics of leukocytes: dynamic morphology and cell movement, (in preparation), (1996)
49. Tranquillo, R. T., Brosteanu, O. and Alt, W.: Dynamic morphology of leukocytes: Statistical analysis and a stochastic model for receptor-mediated cell motion and orientation. In: N. Akkas (eds.) Biomechanics of Active Movement and Division of cells, pp. 437-443. Berlin: Springer-Verlag, 1994
50. Tranquillo, R. T. and Lauffenburger, D. A.: Stochastic model of leukocyte chemosensory movement. J Math Biol 25(3), 229-262 (1987)
51. Wang, D. H., Berry, K. and Howard, T. H.: Kinetic analysis of chemotactic peptide-induced actin polymerization in neutrophils. Cell Motil Cytoskeleton 16(1), 80-87 (1990)
52. Zhu, C, Skalak, R. and Schmid, S. G.: One-dimensional steady continuum model of retraction of pseudopod in leukocytes. J Biomech Eng 111(1), 69-77 (1989)
53. Zigmond, S.: Recent quantitative studies of actin filament turnover during cell locomotion. Cell Motil Cytoskeleton 25(4), 309-316 (1993)
54. Zigmond, S. H., Levitsky, H. I. and Kreel, B. J.: Cell polarity: an examination of its behavioral expression and its consequences for polymorphonuclear leukocyte chemotaxis. J Cell Biol 89(3), 585-592 (1981)
55. Zigmond, S. H. and Sullivan, S. J.: Sensory adaptation of leukocytes to chemotactic peptides. J Cell Biol 82, 517-527 (1979)