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Citation bot (talk | contribs) m Citations: [184] added: doi, volume, issue, pmid, pmc, url. Rjwilmsi |
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[[Linear algebra|Linear]] systems are easier to analyze mathematically. Linearity may occur in the basic elements of a neural circuit such as the response of a postsynaptic neuron, or as an emergent property of a combination of nonlinear subcircuits <ref name=barlow>{{cite journal
| doi = 10.1007/s10827-009-0170-6
| title = Crossover inhibition in the retina: circuitry that compensates for nonlinear rectifying synaptic transmission
| author = Alyosha Molnar, Hain-Ann Hsueh, Botond Roska, Frank S. Werblin,
| journal = J Comput Neurosci
| year = 2009
|
| issue = 3
| pages = 569–590
| pmid = 19636690
| pmc = 2766457
}}</ref>.
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| journal = American Zoologist
| year = 1993
|
| pages = 66–78
}}</ref><ref>{{cite journal
| doi = 10.2307/1543311
| title = Limulus Vision in the Marine Environment
| url = http://jstor.org/stable/1543311
| author = Robert B. Barlow, James M. Hitt and Frederick A. Dodge
| journal = The Biological Bulletin
| year = 2001
|
| issue = 2
| pages = 169–176
| pmid = 11341579
}}</ref>.
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The Hartline-Ratliff model describes interactions within a group of ''p'' [[photoreceptor cell]]s<ref name=kuhnhadeler>{{cite journal
| doi = 10.1007/BF00319520
| title = Stationary States of the Hartline-Ratliff Model
| author = K. P. Hadeler and D. Kuhn
| journal = Biological Cybernetics
| year = 1987
|
| pages = 411–417
}}</ref>. Assuming these interactions to be '''linear''', they proposed the following relationship for the '''steady-state response rate''' <math>r_p</math> of the given ''p''-th photoreceptor in terms of the steady-state response rates <math>r_j</math> of the ''j'' surrounding receptors:
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