Exact solutions to a spatially extended model of kinase-receptor interaction

Physical Biology

Volumn 8, Issue 5, 2011, Pages

  Szopa, Piotr ^a,b   Lipniacki, Tomasz ^a   Kazmierczak, Bogdan ^a  

^a INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CELL SURFACE RECEPTOR; PHOSPHOTRANSFERASE;

ANIMAL; ANTIGEN PRESENTING CELL; ARTICLE; B LYMPHOCYTE; BINDING SITE; BIOLOGICAL MODEL; HUMAN; IMMUNOLOGY; MAST CELL; METABOLISM;

ANIMALS; ANTIGEN-PRESENTING CELLS; B-LYMPHOCYTES; BINDING SITES; HUMANS; MAST CELLS; MODELS, BIOLOGICAL; PHOSPHOTRANSFERASES; RECEPTORS, CELL SURFACE;

EID: 80052685806     PISSN: 14783967     EISSN: 14783975     Source Type: Journal    
DOI: 10.1088/1478-3975/8/5/055005     Document Type: Review

References (47)

1. Kholodenko B N, Hancock J F and Kolch W 2010 Signalling ballet in space and time Nat. Rev. Mol. Cell Biol. 11 414-26
2. Brown G C and Kholodenko B N 1999 Spatial gradients of cellular phosphoproteins FEBS Lett. 457 452-4
3. Tobin A B 2008 G-protein-coupled receptor phosphorylation: where, when and by whom Br. J. Pharmacol. 153 S167-76
4. Gauld S B and Cambier J C 2004 Src-family kinases in B-cell development and signaling Oncogene 23 8001-6 (Pubitemid 39468857)
5. Houdsen H R, Skipp P J S, Crump M P, Broadbridge R J, Crabbe T, Perry M J and Gore M G 2003 Investigation of the kinetics and order of tyrosine phosphorylation in the T-cell receptor ξ chain by the protein tyrosine kinase Lck Eur. J. Biochem. 270 2369-76 (Pubitemid 36645354)
6. Abram C L and Lowell C A 2007 Convergence of immunoreceptor and integrin signaling Immunol. Rev. 218 29-44 (Pubitemid 47052301)
7. Aaronson D S and Horvath C M 2002 A road map for those who don't know JAK-STAT Science 296 1653-5 (Pubitemid 34579157)
8. Kazmierczak B and Lipniacki T 2009 Regulation of kinase activity by diffusion and feedback J. Theor. Biol. 259 291-196
9. Kazmierczak B and Lipniacki T 2010 Spatial gradients in kinase cascade regulation IET Sys. Biol. 4 348-55
10. fyn domains associate with nonphosphorylated and phosphorylated Ig-α Proc. Natl Acad. Sci. USA 91 4268-72
11. Sotirellis N, Johnson T M, Hibbs M L, Stanley I J, Stanley E, Dunn A R and Cheng H C 1995 Autophosphorylation induces autoactivation and a decrease in the Src homology 2 domain accessibility of the Lyn protein kinase J. Biol. Chem. 270 29773-80 (Pubitemid 26001645)
12. Kurosaki T, Johnson S A, Pao L, Sada K, Yamamura H and Cambier J C 1995 Role of the Syk autophosphorylation site and SH2 domains in B cell antigen receptor signaling. J. Exp. Med. 182 1815-23
13. Rolli V et al 2002 Amplification of B cell antigen receptor signaling by a Syk/ITAM positive feedback loop. Mol. Cell. 10 1057-69 (Pubitemid 36001972)
14. Monine M I, Posner R G, Savage P B, Faeder J R and Hlavacek W S 2010 Modeling multivalent ligand-receptor interactions with steric constraints on configurations of cell-surface receptor aggregates Biophys. J. 98 48-56
15. Tolar P, Sohn H W, Liu W and Pierce S K 2009 The molecular assembly and organization of signaling active B-cell receptor oligomers Immun. Rev. 232 34-41
16. Brezski R J and Monroe J G 2008 B-cell receptor. Adv. Exp. Med. Biol. 640 12-21
17. Batista F D and Harwood N E 2009 The who, how and where of antigen presentation to B cells Nat. Rev. Immunol. 9 15-27
18. Weber M, Treanor B, Depoil D, Shinohara H, Harwood N E, Hikida M, Kurosaki T and Batista F D 2008 Phospholipase C-gamma2 and Vav cooperate within signaling microclusters to propagate B cell spreading in response to membrane-bound antigen J. Exp. Med. 205 853-68 (Pubitemid 351549883)
19. Fleire S J, Goldman J P, Carrasco Y R, Weber M, Bray D and Batista F D 2006 B Cell ligand discrimination through a spreading and contraction response Science 312 738-841
20. Harwood N E and Batista F D 2010 Early events in B cell activation Annu. Rev. Immunol. 28 185-210
21. Faeder J R, Blinov M L and Hlavacek W S 2009 Rule-based modeling of biochemical systems with BioNetGen Meth. Mol. Biol. 500 113-67
22. Barua D, Faeder J R and Haugh J M 2009 A bipolar clamp mechanism for activation of Jak-family protein tyrosine kinases PLoS Comput. Biol. 5 e1000364
23. Faeder J R, Hlavacek W S, Reischl I, Blinov M L, Metzger H, Redondo A, Wofsy C and Goldstein B 2003 Investigation of early events in FcεRI-mediated signaling using a detailed mathematical model J. Immunol. 170 3769-81 (Pubitemid 36359247)
24. Cooper J A and Qian H 2008 A mechanism for Src kinase-dependent signaling by noncatalytic receptors Biochemistry 47 5681-8 (Pubitemid 351747046)
25. Wofsy C, Vonakis B M, Metzger H and Goldstein B 1999 One Lyn molecule is sufficient to initiate phosphorylation of aggregated high-affinity IgE receptors Proc. Natl Acad. Sci. USA 96 8615-20 (Pubitemid 29354840)
26. Batista F D, Iber D and Neuberger M S 2001 B cells acquire antigen from target cells after synapse formation Nature 411 489-94 (Pubitemid 32494396)
27. Tolar P, Hanna J, Krueger P D and Pierce S K 2009 The constant region of the membrane immunoglobulin mediates B cell-receptor clustering and signaling in response to membrane antigens Immunity 30 44-55
28. Kim M and Maly I V 2009 Deterministic mechanical model of T-killer cell polarization reproduces the wandering of aim between simultaneously engaged targets PLoS Comp. Biol. 5 e1000260
29. Maly I V, Wiley H S and Lauffenburger D A 2004 Self-organization of polarized cell signaling via autocrine circuits: computational model analysis Biophys. J. 86 10-22 (Pubitemid 38067432)
30. Barua D, Faeder J R and Haugh J M 2007 Structure-based kinetic models of modular signaling protein function: focus on Shp2 Biophys. J. 92 2290-300 (Pubitemid 46536413)
31. Kaimachnikov N P and Kholodenko B N 2009 Toggle switches, pulses and oscillations are intrinsic properties of the Src activation/deactivation cycle FEBS J. 276 4102-18
32. Bobrowski A 2010 Lord Kelvin's method of images in semigroup theory Semigroup Forum 81 435-45
33. Auchmuty G 2004 Steklov eigenproblems and the representation of solutions of elliptic boundary value problems Numer. Funct. Anal. Optim. 25 321-48
34. Mavinga N and Nkashama M N 2010 Steklov-Neumann eigenproblems and nonlinear elliptic equations with nonlinear boundary conditions J. Differ. Eqns 248 1212-29
35. Schiff L I 1968 Quantum Mechanics 3rd edn (New York: McGraw-Hill)
36. Ferrell J E 1998 How regulated protein translocation can produce switch-like responses Trends Biol. Sci. 23 461-5
37. Hernandez-Hansen V et al 2004 Dysregulated FcεRI signaling and altered Fyn and SHIP activities in Lyn-deficient mast cells J. Immunol. 173 100-12 (Pubitemid 38797331)
38. Relton F E 1949 Applied Bessel Functions (London: Blackie)
39. Adams J C 1878 On the expression of the product of any two Legendre's coefficients by means of a series of Legendre's coefficients Proc. R. Soc. Lond. 27 63-71
40. Gaunt J A 1929 The triplets of helium Phil. Trans. R. Soc. Lond. A 228 151-96
41. Ursell F 1996 Infinite systems of equations. The effect of truncation Q. J. Mech. Appl. Math. 49 217-33
42. Andrew A L 1970 Convergence of approximate operator methods for eigenvectors Bull. Austral. Math. Soc. 3 199-205
43. Grisvard P 1985 Elliptic Problems in Nonsmooth Domains (Boston, MA: Pitman)
44. Pao C V 1992 Nonlinear Parabolic and Elliptic Equations (New York: Plenum)
45. Deimling K 1985 Nonlinear Functional Analysis (Berlin: Springer)
46. Yihong D 2006 Order Structure and Topological Methods in Nonlinear Partial Differential Equations vol 1: Maximum Principles and Applications (Singapore: World Scientific)
47. Chow S-N and Hale J K 1982 Methods of Bifurcation Theory (New York: Springer)