Many different varieties of modeling coexist in theoretical neuroscience. Here, we
consider the positive and negative implications, for theories of schizophrenia, of
a crucial distinction between computational and mathematical modeling.
References
- 1
Braver T S, Barch D M, Cohen J D.
Cognition and control in schizophrenia: a computational model of dopamine and prefrontal
function [In Process Citation].
Biol Psychiatry.
1999;
46 (3)
312-328
- 2
Carlson J M, Doyle J.
Complexity and robustness.
Proc Natl Acad Sci USA.
2002;
99 Suppl 1
2538-2545
- 3
Carlsson A, Waters N, Holm-Waters S, Tedroff J, Nilsson M, Carlsson M L.
Interactions between monoamines, glutamate, and GABA in schizophrenia: new evidence.
Annu Rev Pharmacol Toxicol.
2001;
41
237-260
- 4
Churchland P M.
Some reductive strategies in cognitive neurobiology.
Mind.
1986;
95
279-309
- 5 Dayan P. Levels of analysis in neural modeling.
Encyclopedia of Cognitive Science. MacMillan Press London; 2001
- 6
Gould S J, Lewontin R C.
The spandrels of San Marco and the Panglossian paradigm: a critique of the adaptationist
programme.
Proc R Soc Lond B Biol Sci.
1979;
205 (1161)
581-598
- 7
Hodgkin A L, Huxley A F.
A quantitative description of membrane current and its application to conduction and
excitation in nerve.
J Physiol.
1952;
117 (4)
500-544
- 8
Hoffman R E, McGlashan T H.
Neural network models of schizophrenia.
Neuroscientist.
2001;
7 (5)
441-454
- 9
Marr D.
Approaches to biological information processing.
Science.
1975;
190
875-876
- 10
Schultz W, Dayan P, Montague P R.
A neural substrate of prediction and reward.
Science.
1997;
275 (5306)
1593-1599
- 11 Sutton R S, Barto A G. Reinforcement Learning. MIT Press Cambridge, MA; 1998
- 12
Tretter F.
Perspectives of mathematical systems theory in biological psychiatry.
Krankenhauspsychiatrie.
2004;
15
77-84
- 13 Williams J, Dayan P. Dopamine, Learning and Impulsivity: A biological account of
Attention-Deficit/Hyperactivity Disorder. J Child Adolesc Psychopharmacol 2005
Prof. Peter Dayan
Gatsby Computational Neuroscience Unit
University College
Alexandra House
17 Queen Square
London WC1N 3AR
UK
Email: dayan@gatsby.ucl.ac.uk