Electrochemical modeling and characterization of voltage operated channels in nano-bio-electronics

Sensor Letters

Volumn 6, Issue 1, 2008, Pages 49-56

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

^a POLITECNICO DI MILANO   (Italy)

^b CNR   (Italy)

^c NORTHWESTERN UNIVERSITY   (United States)

Author keywords

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

Indexed keywords

COMPUTER SIMULATION; ELECTROPHYSIOLOGY; FINITE ELEMENT METHOD; IONS; NANOTECHNOLOGY; NEUROLOGY; THEOREM PROVING;

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

MATHEMATICAL MODELS;

EID: 58049201993     PISSN: 1546198X     EISSN: None     Source Type: Journal    
DOI: 10.1166/sl.2008.010     Document Type: Conference Paper

References (21)

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. 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.
4. B. Chini, J. W. Jerome, and R. Sacco, Multi-physics modeling and finite element approximation of charge flow in ionic channels, Proceedings of EUROSIME06 Conference, edited by L. J. Ernst, G. Q. Zhang, P. Rodgers, M. Meuwissen, S. Marco, and O. de Saint Leger, IEEE Shaker Publishing, Como, Italy, Maastricht (The Netherlands) (2006), pp. 153-160.
5. 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.
6. B. Hille, Ionic Channels of Excitable Membranes, Sinauer Associates, Sunderland, MA (1992), Vol. 17.
7. J. W. Jerome, Analysis of Charge Transport, Springer-Verlag, Berlin Heidelberg (1996).
8. G. Karniadakis, A. Beskok, and N. Aluru, Microflows and nanoflows. Fundamentals and simulation, Interdisciplinary Applied Mathematics, Springer-Verlag, New York (2005), Vol. 29.
9. U. B. Kaupp and A. Baumann, Nanoelectronics and Information Technology 147 (2003).
10. J. Keener and J. Sneyd, Mathematical physiology, Interdisciplinary Applied Mathematics, Springer-Verlag, New York (1998), Vol. 8.
11. C. Kittel, Introduction to Solid State Physics, Wiley, New York (1956).
12. M. Longaretti and G. Marino, Coupling of electrochemical and fluid-mechanical models for the simulation of charge flow in ionic channels, Masters Thesis, Politecnico di Milano, Milan (2006).
13. M. Longaretti, G. Marino, B. Chini, J. W. Jerome, and R. Sacco, Computational models in nano-bio-electronics: Simulation of ionic transport in voltage operated channels, Technical report, Dipartimento di Matematica "F Brioschi," Politecnico di Milano (2006); To appear in J. Nanosci. Nanotechnol. (2007).
14. P. A. Markowich, The Stationary Semiconductor Device Equations, Springer-Verlag, Wien-New York (1986).
15. S. Micheletti, R. Sacco, and F, Saleri, SIAM J. Sci. Comput. 23, 245 (2001).
16. E. Neher, Ion channels for communication between cells, Nobel Lectures, Physiology or Medicine, 1991-1995, edited by N. Ringertz, World Scientific Publishing Co., Singapore (1997), pp. 10-25.
17. E. Neher, Nat. Biotechnol. 19, 114 (2001).
18. J. H. Park and J. W. Jerome, SIAM J. Appl. Math. 57, 609 (1997).
19. I. Rubinstein, Electro-Diffusion of Ions, SIAM, Philadelphia, PA ( 1990).
20. B. Sakmann, Elementary steps in synaptic transmission revealed by currents through single ion channels, Nobel Lectures, Physiology or Medicine, 1991-1995, edited by N. Ringertz, World Scientific Publishing Co., Singapore (1997), pp. 31-58.
21. B. Straub, E. Meyer, and P. Fromherz, Nat. Biotechnol. 19, 121 ( 2001).