Finite element simulations of acetylcholine diffusion in neuromuscular junctions

Biophysical Journal

Volumn 84, Issue 4, 2003, Pages 2234-2241

  Tai, Kaihsu ^a   Bond, Stephen D ^a   MacMillan, Hugh R ^a   Baker, Nathan Andrew ^c   Holst, Michael Jay ^a   McCammon, J Andrew ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b San Diego   (United States)

^c WASHINGTON UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACETYLCHOLINE;

ARTICLE; DIFFUSION COEFFICIENT; ELECTRIC CURRENT; ELECTRON MICROSCOPY; MATHEMATICAL ANALYSIS; MOLECULAR MODEL; MUSCLE TWITCH; MUSCULAR DYSTROPHY; NEUROMUSCULAR SYNAPSE; SIMULATION; SYNAPTIC TRANSMISSION;

EID: 0037381791     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(03)75029-2     Document Type: Article

References (34)

1. Anglister, L., J. R. Stiles, B. Haesaert, J. Eichler, and M. M. Salpeter. 1995. Acetylcholinesterase at neuromuscular junctions. In Enzymes of the Cholinesterase Family. D. M. Quinn, A. S. Balasubramanian, B. P. Doctor, and P. Taylor, editors. Plenum, New York. pp. 277-285.
2. Baker, N. A., D. Sept, S. Joseph, M. J. Holst, and J. A. McCammon. 2001. Electrostatics of nanosystems: application to microtubules and the ribosome. Proc. Natl. Acad. Sci. USA. 98:10037-10041.
3. Braess, D. 1997. Finite Elements. Cambridge University Press, Cambridge.
4. Brejc, K., W. J. van Dijk, R. V. Klaassen, M. Schuurmans, J. van der Oost, A. B. Smit, and T. K. Sixma. 2001. Crystal structure of an ACh-binding protein reveals the ligand-binding domain of nicotinic receptors. Nature. 411:269-276.
5. Ellisman, M. H. 1981. The membrane morphology of the neuromuscular junction, sarcolemma, sarcoplasmic reticulum and transverse tubule system in murine muscular dystrophy studied by freeze-fracture electron microscopy. Brain Res. 214:261-273.
6. Ellisman, M. H., J. E. Rash, L. A. Staehelin, and K. R. Porter. 1976. Studies of excitable membranes. II. A comparison of specializations at neuromuscular junctions and nonjunctional sarcolemmas of mammalian fast and slow twitch muscle fibers. J. Cell Biol. 68:752-774.
7. Fahim, M. A., J. A. Holley, and N. Robbins. 1984. Topographic comparison of neuromuscular junctions in mouse slow and fast twitch muscles. Neuroscience. 13:227-235.
8. Florendo, J. A., J. F. Reger, and P. K. Law. 1983. Electrophysiologic differences between mouse extensor digitorum longus and soleus. Exp. Neurol. 82:404-412.
9. Ghaffari-Farazi, T., J.-S. Liaw, and T. W. Berger. 1999. Consequence of morphological alterations on synaptic function. Neurocomputing. 26-27:17-27.
10. Gisiger, V., and H. Stephens. 1982. -1983. Correlation between the acetylcholinesterase content in motor nerves and their muscles. J. Physiol. (Paris). 78:720-728.
11. 4 acetylcholinesterase characterizing fast muscles and its alteration in murine muscular dystrophy. J. Neurosci. Res. 19:62-78.
12. Gustafsson, J. S., A. Birinyi, J. Crum, M. Ellisman, L. Brodin, and O. Shupliakov. 2002. Ultrastructural organization of lamprey reticulospinal synapses in three dimensions. J. Comp. Neurol. 450:167-182.
13. Harlow, M. L., D. Ress, A. Stoschek, R. M. Marshall, and U. J. McMahan. 2001. The architecture of active zone material at the frog's neuromuscular junction. Nature. 409:479-484.
14. Holst, M. 2001. Adaptive numerical treatment of elliptic systems on manifolds. Adv. Comput. Math. 15:139-191.
15. Hosaka, Y., T. Yokota, Y. Miyagoe-Suzuki, K. Yuasa, M. Imamura, R. Matsuda, T. Ikemoto, S. Kameya, and S. Takeda. 2002. α1-Syntrophin-deficient skeletal muscle exhibits hypertrophy and aberrant formation of neuromuscular junctions during regeneration. J. Cell Biol. 158:1097-1107.
16. Kandel, E. R., and S. A. Siegelbaum. 1991. Directly gated transmission at the nerve-muscle synapse. In Principles of Neural Science. E. R. Kandel, J. H. Schwartz, and T. M. Jessell, editors. Appleton and Lange, Norwalk, Connecticut. pp. 135-152.
17. 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.
18. 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.
19. Miyazawa, A., Y. Fujiyoshi, M. Stowell, and N. Unwin. 1999. Nicotinic acetylcholine receptor at 4.6 Å resolution: transverse tunnels in the channel wall. J. Mol. Biol. 288:765-786.
20. Naka, T., and N. Sakamoto. 2002. Simulation analysis of the effects of the simultaneous release of quanta of acetylcholine on the endplate current at the neuromuscular junction. Math. Comput. Sim. 59:87-94.
21. Radić, Z., D. M. Quinn, D. C. Vellom, S. Camp, and P. Taylor. 1995. Allosteric control of acetylcholinesterase catalysis by fasciculin. J. Biol. Chem. 270:20391-20399.
22. Rice, S. A. 1985. Diffusion-Limited Reactions. Elsevier, Amsterdam, The Netherlands.
23. Rotundo, R. L., S. G. Rossi, and L. Anglister. 1997. Transplantation of quail collagen-tailed acetylcholinesterase molecules onto the frog neuromuscular synapse. J. Cell Biol. 136:367-374.
24. Schöberl, J. 1997. NETGEN: an advancing front 2D/3D-mesh generator based on abstract rules. Comput. Visual Sci. 1:41-52.
25. Schwartz, J. H. 1991. Synaptic vesicles. In Principles of Neural Science. E. R. Kandel, J. H. Schwartz, and T. M. Jessell, editors. Appleton and Lange, Norwalk, Connecticut. pp. 225-234.
26. Shalton, P. M., and A. C. Wareham. 1980. Some factors affecting spontaneous transmitter release in dystrophic mice. Muscle Nerve. 3:120-127.
27. Shen, T., K. Tai, R. Henchman, and J. A. McCammon. 2002. Molecular dynamics of acetylcholinesterase. Acc. Chem. Res. 35:332-340.
28. Smart, J. L., and J. A. McCammon. 1998. Analysis of synaptic transmission in the neuromuscular junction using a continuum finite element model. Biophys. J. 75:1679-1688.
29. Stiles, J. R., and T. M. Bartol. 2000. Monte Carlo methods for simulating realistic synaptic microphysiology using MCell. In Computational Neuroscience: Realistic Modeling for Experimentalists. E. De Schutter, editor. CRC Press, New York. pp. 87-127.
30. Stiles, J. R., T. M. Bartol, M. M. Salpeter, E. E. Salpeter, and T. J. Sejnowski. 2001. Synaptic variability: new insights from reconstructions and Monte Carlo simulations with MCell. In Synapses. W. M. Cowan, T. C. Südhof, and C. F. Stevens, editors. Johns Hopkins University Press, Baltimore, Maryland. pp. 681-731.
31. Südhof, T. C., and R. H. Scheller. 2000. Mechanism and regulation of neurotransmitter release. In Synapses. W. M. Cowan, T. C. Südhof, and C. F. Stevens, editors. Johns Hopkins University Press, Baltimore, Maryland. pp. 177-215.
32. Taylor, P. 1996. Anticholinesterase agents. In The Pharmacological Basis of Therapeutics. J. G. Hardman, L. E. Limbird, P. B. Molinoff, R. W. Ruddon, and A. G. Gilman, editors. McGraw-Hill, New York. pp. 161-176.
33. Tremblay, J. P., L. Grégoire, R. Sasseville, G. Guay, and C. Belhumeur. 1988. Reduction of postjunctional fold density and depth in dystrophic mice. Synapse. 2:148-156.
34. Zimmermann, H. 1993. Synaptic Transmission: Cellular and Molecular Basis. Thieme, Stuttgart, Germany.