Analysis of synaptic transmission in the neuromuscular junction using a continuum finite element model

Biophysical Journal

Volumn 75, Issue 4, 1998, Pages 1679-1688

  Smart, Jason L ^a   McCammon, J Andrew ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACETYLCHOLINE; CHOLINERGIC RECEPTOR;

ACETYLCHOLINE RELEASE; ARTICLE; MATHEMATICAL COMPUTING; MINIATURE ENDPLATE POTENTIAL; MODEL; NEUROMUSCULAR SYNAPSE; POSTSYNAPTIC MEMBRANE; RECEPTOR BINDING; SIMULATION; SYNAPTIC TRANSMISSION;

EID: 0031660698     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(98)77610-6     Document Type: Article

References (47)

1. Agmon, N., and A. L. Edelstein. 1997. Collective binding properties of receptor arrays. Biophys. J. 72:1582-1594.
2. Almers, W., and F. W. Tse. 1990. Transmitter release from synapses: does a preassembled fusion pore initiate exocytosis? Neuron. 4:813-818.
3. Anglister, L., J. R. Stiles, B. Haesaert, J. Eichler, and M. M. Salpeter. 1995. Acetylcholinesterase at neuromuscular junctions: density, catalytic turnover, and molecular forms with modeling and physiological implications. In Enzymes of the Cholinesterase Family, Chap. IV. Plenum Press, New York.
4. Bartol, T. M., B. R. Land, E. E. Salpeter, and M. M. Salpeter. 1991. Monte Carlo simulation of miniature endplate current generation in the vertebrate neuromuscular junction. Biophys. J. 59:1290-1307.
5. Beck, R., B. Erdmann, and R. Roitzsch. 1995. Kaskade 3.0: An Object-Oriented Adaptive Finite Element Code. Technical Report TR 95-4. Konrad-Zuse-Zentrum fur Informationstechnik, Berlin.
6. Becker, E. B., G. F. Carey, and J. T. Oden. 1981. Finite Elements: An Introduction. 1st ed. Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
7. Beeson, D., and E. Barnard. 1990. Neuromuscular Transmission: Basic and Applied Aspects, Chap. 8. Elsevier, New York.
8. Bennett, M. R., L. Farnell, W. G. Gibson, and N. A. Lavidis. 1997. Synaptic transmission at visualized sympathetic boutons: stochastic interaction between acetylcholine and its receptors. Biophys. J. 72:1595-1606.
9. Brenner, S. C., and L. R. Scott. 1994. The Mathematical Theory of Finite Element Methods, 1st ed. Springer-Verlag, New York.
10. Bruns, D., and R. Jahn. 1995. Real-time measurement of transmitter release from single synaptic vesicles. Nature. 377:62-65.
11. Chandrasekhar, S. 1943. Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15:1-369.
12. Collins, F. C., and G. E. Kimball. 1949. Diffusion-controled reaction rates. J. Colloid Sci. 4:425-437.
13. Colquhoun, D. 1990. Neuromuscular Transmission: Basic and Applied Aspects, Chap. 7. Elsevier, New York.
14. Crank, J. 1975. The Mathematics of Diffusion, 2nd ed. Oxford University Press, New York.
15. Dionne, V. E., and M. D. Leibowitz. 1982. Acetylcholine receptor kinetics: a description from single-channel currents at snake neuromuscular junctions. Biophys. J. 39:253-261.
16. Dwyer, T. M. 1981. The rising phase of the miniature endplate current at the frog neuromuscular junction. Biochim. Biophys. Acta. 646:51-60.
17. Edelstein, A. L., and N. Agmon. 1997. Brownian simulation of many-particle binding to a reversible receptor array. J. Comp. Phys. 132: 260-275.
18. Edmonds, B., A. J. Gibb, and D. Colquhoun. 1995. Mechanisms of activation of muscle nicotinic acetylcholine receptors and the time course of endplate currents. Annu. Rev. Physiol. 57:469-493.
19. Fertuck, H. C., and M. M. Salpeter. 1976. Quantitation of junctional and extrajunctional acetylcholine receptors by electron microscope autoradiography after (125)i-alpha-bungarotoxin binding at mouse neuromuscular junctions. J. Cell Biol. 69:144-158.
20. Friboulet, A., and D. Thomas. 1993. Reaction-diffusion coupling in a structured system: application to the quantitative simulation of endplate currents. J. Theor. Biol. 160:441-455.
21. Hartzell, H. C., S. W. Kuffler, and D. Yoshikami. 1975. Post-synaptic potentiation: interaction between quanta of acetylcholine at the skeletal neuromuscular synapse. J. Physiol. 251:427-463.
22. Kandel, E. R., J. H. Schwartz, and T. M. Jessell. 1991. Principles of Neural Science, 3rd ed. Prentice Hall, New York.
23. Katz, B., and R. Miledi. 1972. The statistical nature of the acetylcholine potential and its molecular components. J. Physiol. 224:665-699.
24. Katz, B., and R. Miledi. 1973. The binding of acetylcholine to receptors and its removal from the synaptic cleft. J. Physiol. 231:549-574.
25. Katz, B., and R. Miledi. 1979. Estimates of quantal content during chemical potentiation of transmitter release. Proc. R. Soc. Lond. B. 205: 369-378.
26. Khanin, R., H. Parnas, and L. Segel. 1994. Diffusion cannot govern the discharge of neurotransmitter in fast synapses. Biophys. J. 67:966-972.
27. Kleinle, J., K. Vogt, H. R. Luscher, L. Muller, W. Senn, K. Wyler, and J. Streit. 1996. Transmitter concentration profiles in the synaptic cleft: an analytical model of release and diffusion. Biophys. J. 71:2413-2426.
28. Land, B. R., W. V. Harris. E. E. Salpeter, and M. M. Salpeter. 1984. Diffusion and binding constants for acetylcholine derived from the falling phase of miniature endplate currents. Proc. Natl. Acad. Sci. USA. 81:1594-1598.
29. Land, B. R., E. E. Salpeter, and M. M. Salpeter. 1980. Acetylcholine receptor site density affects the rising phase of miniature endplate currents. Proc. Natl. Acad. Sci. USA. 77:3736-3740.
30. Land, B. R., E. E. Salpeter, and M. M. Salpeter. 1981. Kinetic parameters for acetylcholine interaction in intact neuromuscular junction. Proc. Natl. Acad. Sci. USA. 78:7200-7204.
31. Madsen, B. W., R. O. Edeson, H. S. Lam, and R. K. Milne. 1984. Numerical simulation of miniature endplate currents. Neurosci. Lett. 48:67-74.
32. Magleby, K. L., and D. A. Terrar. 1975. Factors affecting the timecourse of decay of end-plate currents: a possible cooperative action of acetylcholine on receptors at the frog neuromuscular junction. J. Physiol. 244: 467-495.
33. Martin, H. C., and G. F. Carey. 1973. Introduction to Finite Element Analysis, 1st ed. McGraw-Hill, Inc., New York.
34. Matthews-Bellinger, J., and M. M. Salpeter. 1978. Distribution of acetylcholine receptors at frog neuromuscular junctions with a discussion of some physiological implications. J. Physiol. 279:197-213.
35. Miledi, R., P. C. Molenaar, and R. L. Polak. 1982. Free and bound acetylcholine in frog muscle. J. Physiol. 333:189-199.
36. Radie, Z., G. Gibney, S. Kawamoto, K. MacPhee-Quigley, C. Bongiorno, and P. Taylor. 1992. Expression of recombinant acetylcholinesterase in a baculovirus system: kinetic properties of glutamate 199 mutants. Biochemistry. 31:9760-9767.
37. Rice, S. A. 1985. Diffusion-limited reactions. In Comprehensive Chemical Kinetics, vol. 25. Elsevier, New York.
38. Salpeter, M. M. 1987. The Vertebrate Neuromuscular Junction. Alan R. Liss, Inc., New York.
39. Salpeter, M. M., H. Plattner, and A. W. Rogers. 1972. Quantitative assay of esterases in end plates of mouse diaphragm by electron microscope autoradiography. J. Histochem. Cytochem. 20:1059-1068.
40. Salpeter, M. M., A. W. Rogers, H. Kasprzak, and F. A. McHenry. 1978. Acetylcholinesterase in the fast extraocular muscle of the mouse by light and electron microscope autoradiography. J. Cell Biol. 78:274-285.
41. Shafferman, A., A. Ordentlich, D. Barak, C. Kronman, N. Ariel, M. Leitner, Y. Segall, A. Bromberg, S. Reuveny, D. Marcus, T. Bino, A. Lazar, S. Cohen, and B. Velan. 1995. Molecular aspects of catalysis and of allosteric regulation of acetylcholinesterases. In Enzymes of the Cholinesterase Family, Chap. III. Plenum Press, New York.
42. Stiles, J. R., D. V. Helden, T. M. Bartol, E. E. Salpeter, and M. M. Salpeter. 1996. Miniature endplate current rise times < 100 microseconds from improved dual recordings can be modeled with passive acetylcholine diffusion from a synaptic vesicle. Proc. Natl. Acad. Sci. USA. 93:5747-5752.
43. Taylor, P., J. Herz, D. Johnson, and R. Brown. 1986. Nicotinic Acetylcholine Receptor: Structure and Function. Springer-Verlag, New York.
44. Vincent, A., and D. Wray. 1990. Neuromuscular Transmission: Basic and Applied Aspects. Elsevier, New York.
45. Wathey, J. C., M. M. Nass, and H. A. Lester. 1979. Numerical reconstruction of the quantal event at nicotinic synapses. Biophys. J. 27:145-164.
46. Wray, D. 1990. Neuromuscular Transmission: Basic and Applied Aspects, Chap. 2. Elsevier, New York.
47. Zimmerman, H. 1993. Synaptic Transmission: Cellular and Molecular Basis. Thieme/Oxford, Stuttgart, Germany.