Computational models in nano-bioelectronics: Simulation of ionic transport in voltage operated channels

Journal of Nanoscience and Nanotechnology

Volumn 8, Issue 7, 2008, Pages 3686-3694

  Longaretti, Massimo ^a   Marino, Giovambattista ^a   Chini, Bice ^b   Jerome, Joseph W ^c   Sacco, Riccardo ^a  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF MILAN   (Italy)

^c NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Hybrid bio artificial systems; Ionic channels; Ionic electrical coupling; Mathematical modeling; Nanotechnology; Numerical simulation

Indexed keywords

HYBRID BIO-ARTIFICIAL SYSTEMS; IONIC CHANNELS; IONIC-ELECTRICAL COUPLING; MATHEMATICAL MODELING; NUMERICAL SIMULATION;

COMPUTER SIMULATION; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; VOLATILE ORGANIC COMPOUNDS;

FINITE ELEMENT METHOD;

ION;

ALGORITHM; ARTICLE; COMPUTER PROGRAM; COMPUTER SIMULATION; ELECTROCHEMISTRY; ELECTRONICS; EQUIPMENT DESIGN; METHODOLOGY; NANOTECHNOLOGY; REPRODUCIBILITY; THEORETICAL MODEL; THERMODYNAMICS; TRANSPORT AT THE CELLULAR LEVEL;

ALGORITHMS; BIOLOGICAL TRANSPORT; COMPUTER SIMULATION; ELECTROCHEMISTRY; ELECTRONICS; EQUIPMENT DESIGN; IONS; MODELS, THEORETICAL; NANOTECHNOLOGY; REPRODUCIBILITY OF RESULTS; SOFTWARE; THERMODYNAMICS;

EID: 42549155863     PISSN: 15334880     EISSN: None     Source Type: Journal    
DOI: 10.1166/jnn.2008.005     Document Type: Conference Paper

References (27)

1. B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, and P. Walter, Molecular Biology of the Cell, Garland Publishing, New York (2002).
2. V. Barcilon, D. Chen, R. Eisenberg, and J. W. Jerome, SIAM J. Appl. Math. 57, 631 (1997).
3. R. J. Bearman and J. G. Kirkwood, J. Chem. Phys. 28, 136 (1958).
4. F. Brezzi, L. D. Marini, S. Micheletti, P. Pietra, R. Sacco, and S. Wang, Discretization of semiconductor device problem (i), Handbook of Numerical Analysis, edited by P. G. Ciarlet, W. H. A. Schilders, and E. J. W. ter Maten, Elsevier North-Holland, Amsterdam (2005), Vol. 13, pp. 317-441.
5. P. Causin and R. Sacco, Comput. Methods Appl. Mech. Eng. 192, 593 (2003).
6. D. P. Chen, R. S. Eisenberg, J. W. Jerome, and C.-W. Shu, Biophysics J. 69, 2304 (1995).
7. B. Chini, J. W. Jerome, and R. Sacco, Proceedings of EUROSIME06 Conference, Como, Italy, edited by L. J. Ernst, G. Q. Zhang, P. Rodgers, M. Meuwissen, S. Marco, and O. de S. Leger, IEEE Shaker Publishing, Maastricht, The Netherlands (2006). pp. 153-160.
8. B. Cockburn, G. E. Karniadakis, and C.-W. Shu, The development of discontinuous Galerkin methods, Lecture Notes in Computational Science and Engineering, edited by B. Cockburn, G. E. Karniadakis, and C.-W. Shu, Springer (2000), Vol. 11, pp. 3-50.
9. P. S. Crozier, D. Henderson, R. L. Rowley, and D. D. Busath, Biophysical J. 81, 3077 (2001).
10. P. Fromherz, Neuroelectronics interfacing: Semiconductor chips with ion channels, cells and brain, Nanoelectronics and Information Technology, edited by R. Weise, Wiley-VCH, Berlin (2003), pp. 781-810.
11. C. L. Gardner, W. Nonner, and R. S. Eisenberg, Journal of Computational Electronics 3, 25 (2004).
12. B. Hille, Ionic Channels of Excitable Membranes, Sinauer Associates (1992), Vol. 17.
13. J. W. Jerome, Analysis of Charge Transport, Springer-Verlag, Berlin, Heidelberg (1996).
14. J. W. Jerome, Transp. Theo. Stat. Phys. 31, 333 (2002).
15. G. Karniadakis, A. Beskok, and N. Aluru, Microflows and nanoflows, fundamentals and simulation. Interdisciplinary Applied Mathematics, Springer-Verlag, New York (2005), Vol. 29.
16. J. Keener and J. Sneyd, Mathematical physiology, Interdisciplinary Applied Mathematics, Springer-Verlag, New York (1998), Vol. 8.
17. C. Kittel, Introduction to Solid State Physics, Wiley (1956).
18. S. Koneshan, J. C. Rasaiah, R. M. Lynden-Bell, and S. H. Lee, J. Phys. Chem. 102, 4193 (1998).
19. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Butterworth-Heinemann, Oxford (2000).
20. P. A. Markowich, The Stationary Semiconductor Device Equations. Springer-Verlag, Wien, New York (1986).
21. S. Micheletti, R. Sacco, and F. Saleri, SIAM J. Sci. Comput. 23-1, 245 (2001).
22. E. Neher, Nat. Biotechnol. 19, 114 (2001).
23. J. H. Park and J. W. Jerome, SIAM J. Appl. Math. 57, 609 (1997).
24. A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations, Springer-Verlag, New York, Berlin (1994).
25. A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations, Oxford Science Publications, New York (1999).
26. I. Rubinstein, Electro-Diffusion of Ions, SIAM, Philadelphia, PA (1990).
27. B. Straub, E. Meyer, and P. Fromherz, Nat. Biotechnol. 19, 121 (2001).