Geodesic
Projecting Biochemistry Over Long Distances
M. Reed1 ; H. F. Nijhout2 ; J. Best3
1 Department of Mathematics, Duke University, Durham, NC 27705, USA
2 Department of Biology, Duke University, Durham, NC 27705, USA
3 Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
Mathematical modelling of natural phenomena, Tome 9 (2014) no. 1, pp. 133-138.

Voir la notice de l'article provenant de la source EDP Sciences

Mathematical and computational neuroscience have contributed to the brain sciences by the study of the dynamics of individual neurons and more recently the study of the dynamics of electrophysiological networks. Often these studies treat individual neurons as points or the nodes in networks and the biochemistry of the brain appears, if at all, as some intermediate variables by which the neurons communicate with each other. In fact, many neurons change brain function not by communicating in one-to-one fashion with other neurons, but instead by projecting changes in biochemistry over long distances. This biochemical network is of crucial importance for brain function and it influences and is influenced by the more traditional electrophysiological networks. Understanding how biochemical networks interact with electrophysiological networks to produce brain function both in health and disease poses new challenges for mathematical neuroscience.
DOI : 10.1051/mmnp/20149109

M. Reed 1 ; H. F. Nijhout 2 ; J. Best 3

1 Department of Mathematics, Duke University, Durham, NC 27705, USA
2 Department of Biology, Duke University, Durham, NC 27705, USA
3 Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA 
@article{MMNP_2014_9_1_a8,
     author = {M. Reed and H. F. Nijhout and J. Best},
     title = {Projecting {Biochemistry} {Over} {Long} {Distances}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {133--138},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2014},
     doi = {10.1051/mmnp/20149109},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149109/}
}
TY  - JOUR
AU  - M. Reed
AU  - H. F. Nijhout
AU  - J. Best
TI  - Projecting Biochemistry Over Long Distances
JO  - Mathematical modelling of natural phenomena
PY  - 2014
SP  - 133
EP  - 138
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149109/
DO  - 10.1051/mmnp/20149109
LA  - en
ID  - MMNP_2014_9_1_a8
ER  - 
%0 Journal Article
%A M. Reed
%A H. F. Nijhout
%A J. Best
%T Projecting Biochemistry Over Long Distances
%J Mathematical modelling of natural phenomena
%D 2014
%P 133-138
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149109/
%R 10.1051/mmnp/20149109
%G en
%F MMNP_2014_9_1_a8
M. Reed; H. F. Nijhout; J. Best. Projecting Biochemistry Over Long Distances. Mathematical modelling of natural phenomena, Tome 9 (2014) no. 1, pp. 133-138. doi : 10.1051/mmnp/20149109. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20149109/

[1] A. Adell, P. Celada, M. T. Abella, F. Artigasa Brain. Res. Rev. 2002 154 180

[2] P. Blandina, J. Goldfarb, B. Craddock-Royal, J. P. Green J. Pharmacol. Exper. Therap. 1989 803 809

[3] N. Bonhomme, P. Duerwaerdere, M. Moal, U. Spampinato Neuropharmacology 1995 269 279

[4] D. J. Brooks J. Neurol. Neurosurg. Psychiatry 2000 685 689

[5] H. J. Chiel, R. D. Beer Trends Neuroscience 1997 553 557

[6] R. A. Cunha Neurochem. Int. 2008 65 72

[7] P. Deurwaerdere, N. Bonhomme, G. Lucas, M. Moal, U. Spampinato J. Neurochem. 1996 210 215

[8] V. Dimatteo, G. Digiovanni, M. Pierucci, E. Esposito Prog. Brain Res. 2008 7 44

[9] R. Feldman, J. Meyer, L. Quenzer. Principles of Neuropharmacology. Sunderland, MA.: Sinauer Associates, Inc., Sunderland MA, 1997.

[10] K. Fuxe, A. B. Dahlstrom, G. Jonsson, D. Marcellino, M. Guescini, M. Dam, P. Manger, L. Agnati Prog. Neurobiol. 2010 82 100

[11] C. R. Gerfen, D. J. Surmeier Annu. Rev. Neurosci. 2011 441 466

[12] B. P. Guiard, M. E. Mansari, Z. Merali, P. Blier Int. J. Neuropsycopharm. 2008 625 639

[13] J. P. Hornung J. Chem. Neuroanat. 2003 331 343

[14] A. Lasota, M. Mackey. Probabilistic Properties of Deterministic Systems. Springer-Verlag, New York, 1985.

[15] J. Losson, M. Mackey J. Stat. Phys. 1992 1025 1046

[16] M. C. Mackey Blood 1978 941 956

[17] M. C. Mackey, L. Glass Science 1977 287 289

[18] M. C. Mackey, L. Glass Ann. N. Y . Acad. Sci. 1979 214 235

[19] M. C. Mackey, M. Tyran-Kaminska Physics Reports 2006 167 222

[20] J. M. Monti Sleep Med. Rev. 2010 307 317

[21] M. Reed, H. F. Nijhout, J. Best Frontiers Integrative Neuroscience 2013 1 8

[22] Y. Smith, M. Bevan, E. Shink, J. P. Bolam Neuroscience 1998 353 387

Cité par Sources :