Mathematically modelling the effects of counting factor in Dictyostelium discoideum

Mathematical Medicine and Biology

Volumn 23, Issue 1, 2006, Pages 45-62

  Dallon, John ^a   Jang, Wonhee ^b   Gomer, Richard H ^b  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

^b RICE UNIVERSITY   (United States)

Author keywords

Cell movement; Cell number counting; Cellular adhesion; Group size; Orientation; Size regulation

Indexed keywords

BIOLOGICAL SYSTEMS; CELLS; CYTOLOGY;

CELL MOVEMENT; CELL NUMBER; CELL-NUMBER COUNTING; CELLULAR ADHESION; CELLULAR AUTOMATA MODELS; DICTYOSTELIUM DISCOIDEUM; GROUP OF CELLS; GROUP SIZE; ORIENTATION; SIZE REGULATION;

ADHESION;

CYCLIC AMP;

ARTICLE; CELL ADHESION; CELL COUNT; CELL INTERACTION; CELL MOTILITY; CELL SIZE; CELLULAR DISTRIBUTION; DICTYOSTELIUM DISCOIDEUM; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; NONHUMAN; PROBABILITY; SIGNAL TRANSDUCTION; SIMULATION;

DICTYOSTELIUM DISCOIDEUM;

EID: 33646244767     PISSN: 14778599     EISSN: 14778602     Source Type: Journal    
DOI: 10.1093/imammb/dqi016     Document Type: Article

References (41)

1. Brock, D. A., Buczynski, F., Spann, T. P., Wood, S. A., Cardelli, J. & Gomer, R. H. (1996) A Dictyostelium mutant with defective aggregate size determination. Development, 122, 2569-2578.
2. Brock, D. A., Ehrenman, K., Ammann, R., Tang, Y. & Gomer, R. H. (2003a) Two components of a secreted cell-number counting factor bind to cells and have opposing effects on cAMP signal transduction in Dictyostelium. J. Biol. Chem., 278, 52252-52272.
3. Brock, D. A. & Gomer, R. H. (1999) A cell-counting factor regulating structure size in Dictyostelium. Genes Dev., 13, 1960-1969.
4. Brock, D. A., Hatton, R. D., Giurgiutiu, B., Scott, R., Ammann, R. & Gomer, R. H. (2002) The different components of a multisubunit cell number-counting factor have both unique and overlapping functions. Development, 129, 3657-3668.
5. Brock, D. A., Hatton, R. D., Giurgiutiu, B., Scott, R., Jang, W., Ammann, R. & Gomer, R. H. (2003b) CF45-1, a secreted protein which participates in group size regulation in Dictyostelium. Eukaryot. Cell, 2, 788-797.
6. Clow, P. A. & McNally, J. G. (1999) In vivo observations of myosin II dynamics support a role in rear retraction. Mol. Biol. Cell, 10, 1309-1323.
7. Cox, D., Condeelis, J., Wessels, D., Soll, D., Kern, H. & Knecht, D. A. (1992) Targeted disruption of the ABP-120 gene leads to cells with altered motility. J. Cell Biol, 116, 943-955.
8. Dallon, J. C. (2000) Numerical aspects of discrete and continuum hybrid models in cell biology. Appl. Numer. Math., 32, 137-159.
9. Dallon, J. C. & Othmer, H. G. (1997) A discrete cell model with adaptive signalling for aggregation of Dictyostelium discoideum. Philos. Trans. R. Soc. Lond. B, 352, 391-417.
10. Dallon, J. C. & Othmer, H. G. (2004) How cellular movement determines the collective force generated by the Dictyostelium discoideum slug. J. Theor. Biol., 231, 203-222.
11. Fukui, Y. (1999) Architectural dynamics of F-actin in eupodia suggest their role in invasive locomotion in Dictyostelium. Exp. Cell Res., 249, 335.
12. Fung, Y. C. (1981) Biomechanics Mechanical Properties of Living Tissues. New York: Springer.
13. Futrelle, R., Traut, J. & McKee, W. G. (1982) Cell behavior in Dictyostelium discoideum: Preaggregation response to localized cyclic AMP pulses. J. Cell. Biol., 92, 807-821.
14. Gao, T., Ehrenman, K., Tang, L., Leippe, M., Brock, D. A. & Gomer, R. H. (2002) Cells respond to and bind countin, a component of a multisubunit cell number counting factor. J. Biol. Chem., 277, 32596-32605.
15. Höfer, T., Sherratt, J. A. & Maini, P. K. (1995) Dictyostelium discoideum: Cellular self-organization in an excitable biological medium. Proc. R. Soc. Lond. B, 259, 249-257.
16. Kessin, R. H. (2001) Dictyostelium Evolution, Cell Biology, and the Development of Multicellularity Developmental and Cell Biology Series. Cambridge, UK: Cambridge University Press.
17. Kincaid, D. & Cheney, W. (2002) Numerical Analysis: Mathematics of Scientific Computing, 3rd edn. Pacific Grove, CA: Brooks/Cole.
18. Kriebel, P. W., Barr, V. A. & Parent, C. A. (2003) Adenylyl cyclase localization regulates streaming during chemotaxis. Cell, 112, 549-560.
19. Levine, H., Aronson, I., Tsimring, L. & Truong, T. V. (1996) Positive genetic feedback governs cAMP spiral wave formation in Dictyostelium. Proc. Natl. Acad. Sci. USA, 93, 6382-6386.
20. Loomis, W. F. (1975) Dictyostelium discoideum: A Developemental System. New York: Academic Press.
21. MacKay, S. (1978) Computer simulation of aggregation in Dictyostelium discoideum. J. Cell Sci., 33, 1-16.
22. Moores, S., Sabry, J. & Spudich, J. (1996) Myosin dynamics in live Dictyostelium cells. Proc. Natl. Acad. Sci. USA, 93, 443-446.
23. Nachmias, V. T., Fukui, Y. & Spudich, J. A. (1989) Chemoattractant-elicited translocation ofmyosin in motile Dictyostelium. Cell Motil. Cytoskeleton, 13, 158-169.
24. Noegel, A. A. & Schleicher, M. (2000) The actin cytoskeleton of Dictyostelium: A story told by mutants. J. Cell Sci., 113, 759-766.
25. Ogihara, S.,Carboni, J. & Condeelis, J. (1988) Electron microscopic localization of myosin 2 and ABP-120 in the cortical actin matrix of Dictyostelium amoebae using IgG-gold conjugates. Dev. Genet., 9, 505-520.
26. Oliver, T., Dembo, M. & Jacobson, K. (1999) Separation of propulsive and adhesive traction stresses in locomoting keratocytes. J. Cell Biol., 145, 589-604.
27. Othmer, H. G. & Schaap, P. (1998) Oscillatory cAMP signaling in the development of Dictyostelium discoideum. Comments Theor. Biol., 5, 175-282.
28. Palsson, E. & Othmer, H. G. (2000) A model for individual and collective cell movement in Dictyostelium discoideum. Proc. Natl. Acad. Sci. USA, 97, 10448-10453.
29. Parnas, H. & Segel, L. A. (1977) Computer evidence concerning the chemotactic signal in Dictyostelium discoideum. J. Cell Sci., 25, 191-204.
30. Roisin-Bouffay, C., Jang, W., Caprette, D. R. & Gomer, R. H. (2000) A precise group size in Dictyostelium is generated by a cell-counting factor modulating cell-cell adhesion. Mol. Cell, 6, 953-959.
31. Saad, Y. (2003) Iterative Methods for Sparse Linear Systems, 2nd edn. Philadelphia: SIAM.
32. Savill, N. & Hogeweg, P. (1997) Modelling morphogenesis: From single cells to crawling slugs. J. Theor. Biol., 184, 229-235.
33. Shaffer, B. M. (1957) Variability of behavior of aggregating cellular slime moulds. Q. J. Microsc. Sci., 98, 393-405.
34. Siu, C.-H. & Kamboj, R. K. (1990) Cell-cell adhesion and morphogenesis in Dictyostelium discoideum. Dev. Genet., 11, 277-387.
35. Sucgang, R., Weijer, C. J., Siegert, F., Franke, J. & Kessin, R. H. (1997) Null mutations of the Dictyostelium cyclic nucleotide phosphodiesterase gene block chemotactic cell movement in developing aggregates. Dev. Biol, 192, 181-192.
36. Tang, L., Gao, T., McCollum, C., Jang, W., Vicker, M. G., Ammann, R. R. & Gomer, R. H. (2002) A cell number-counting factor regulates the cytoskeleton and cell motility of Dictyostelium. Proc. Natl. Acad. Sci. USA, 99, 1371-1376.
37. Tang, Y. & Othmer, H. G. (1994) A G-protein-based model of adaptation in Dictyostelium discoideum. Math. Bioscl, 120, 25-76.
38. Tang, Y. & Othmer, H. G. (1995) Excitation, oscillations and wave propagation in a G-protein based model of signal transduction in Dictyostelium discoideum. Philos. Trans. R. Soc. Lond. B 349, 179-195.
39. Usami, S., Wung, S.-L., Skierczynski, B. A., Skalak, R. & Chien, S. (1992) Locomotion forces generated by a polymorphonuclear leukocyte. Biophys. J., 63, 1663-1666.
40. Vasiev, B., Siegert, F. & Weijer, C. J. (1997) A hydrodynamic model for Dictyostelium discoideum mound formation. J. Theor. Biol., 184, 441-450.
41. Vasiev, B. N., Hogeweg, P. & Panfilov, A. V. (1994) Simulation of Dictyostelium discoideum aggregation via reaction-diffusion model. Phys. Rev. Lett., 73, 3173-3176.