Abstract
Measurements of some visual functions (visual fields, acuity and visual inversion) versus intensity of stimulus, including facilitation, carried out by Justo Gonzalo in patients with central syndrome, are seen to follow Stevens’ power law of perception. The characteristics of this syndrome, which reveals aspects of the cerebral dynamics, allow us to conjecture that Stevens’ law is in these cases a manifestation of the universal allometric scaling power law associated with biological neural networks. An extension of this result is pointed out.
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References
Stevens, S.S.: On the psychophysical law. Psychol. Rev. 64, 153–181 (1957)
West, G.B., Brown, J.H.: Life’s Universal Scaling Laws. Phys. Today, 36–42 (Sept. 2004)
West, G.B., Brown, J.H.: The origin of allometric scalin laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biologica structure and organization. J. Exper. Biol. 208, 1575–1592 (2005)
Anderson, R.B.: The power law as an emergent property. Mem. Cogn. 29, 1061–1068 (2001)
Gisiger, T.: Scale invariance in biology: coincidence or footprint of a universal mechanisms? Biol. Rev. 76, 161–209 (2001)
West, G.B., Brown, J.H.: A general model for the origin of allometric scalling laws in biology. Science 276, 122–126 (1997)
Banavar, J.R., Maritan, A., Rinaldo, A.: Size and form in efficient transportation networks. Nature 399, 130–132 (1999)
Gonzalo, J.: Investigaciones sobre la nueva dinámica cerebral. La actividad cerebral en función de las condiciones dinámicas de la excitabilidad nerviosa. Publicaciones del Consejo Superior de Investigaciones Científicas, Inst. S. Ramón y Cajal, Madrid, Vol. I (1945), Vol. II (1950). (Avalable in: Instituto Cajal, CSIC, Madrid)
Gonzalo, J.: La cerebración sensorial y el desarrollo en espiral. Cruzamientos, magnificación, morfogénesis. Trab. Inst. Cajal Invest. Biol. 43, 209–260 (1951)
Gonzalo, J.: Las funciones cerebrales humanas según nuevos datos y bases fisiológicas: Una introducción a los estudios de Dinámica Cerebral. Trab. Inst. Cajal Invest. Biol. 44, 95–157 (1952)
Gonzalo, I., Gonzalo, A.: Functional gradients in cerebral dynamics: The J. Gonzalo theories of the sensorial cortex. In: Moreno-Díaz, R., Mira, J. (eds.) Brain Processes, Theories and Models. An Int. Conf. in honor of W.S. McCulloch 25 years after his death, pp. 78–87. The MIT Press, Cambridge (1996)
Gonzalo, I.: Allometry in the J. Gonzalo’s model of the sensorial cortex. In: McCune, W. (ed.) CADE 1997. LNCS, vol. 1249, pp. 169–177. Springer, Heidelberg (1997)
Gonzalo, I.: Spatial Inversion and Facilitation in the J. Gonzalo’s Research of the Sensorial Cortex. Integrative Aspects. In: Mira, J. (ed.) IWANN 1999. LNCS, vol. 1606, pp. 94–103. Springer, Heidelberg (1999)
Gonzalo, I., Porras, M.A.: Time-dispersive effects in the J. Gonzalo’s research on cerebral dynamics. In: Mira, J., Prieto, A.G. (eds.) IWANN 2001. LNCS, vol. 2084, pp. 150–157. Springer, Heidelberg (2001)
Gonzalo, I., Porras, M.A.: Intersensorial summation as a nonlinear contribution to cerebral excitation. In: Mira, J., Álvarez, J.R. (eds.) IWANN 2003. LNCS, vol. 2686, pp. 94–101. Springer, Heidelberg (2003)
Arias, M., Gonzalo, I.: La obra neurocientífica de Justo Gonzalo (1910-1986): El síndrome central y la metamorfopsia invertida. Neurología 19, 429–433 (2004)
Gonzalo-Fonrodona, I.: Inverted or tilted perception disorder. Rev. Neurol. 44, 157–165 (2007)
Delgado, A.E.: Modelos Neurocibernéticos de Dinámica Cerebral. Ph.D.Thesis. E.T.S. de Ingenieros de Telecomunicación, Univ. Politécnica, Madrid (1978)
Mira, J., Delgado, A.E., Moreno-Díaz, R.: The fuzzy paradigm for knowledge representation in cerebral dynamics. Fuzzy Sets and Systems 23, 315–330 (1987)
Mira, J., Manjarrés, A., Ros, S., Delgado, A.E., Álvarez, J.R.: Cooperative Organization of Connectivity Patterns and Receptive Fields in the Visual Pathway: Application to Adaptive Thresholdig. In: Sandoval, F., Mira, J. (eds.) IWANN 1995. LNCS, vol. 930, pp. 15–23. Springer, Heidelberg (1995)
Rodríguez, E., George, N., Lachaux, J.P., Martinerie, J., Renault, B., Varela, F.J.: Perception’s shadow: long-distance synchronization of human brain activity. Nature 397, 430–433 (1999)
Arthurs, O.J., Stephenson, C.M.E., Rice, K., Lupson, V.C., Spiegelhalter, D.J., Boniface, S.J., Bullmore, E.T.: Dopaminergic effects on electrophysiological and functional MRI measures of human cortical stimulus-response power laws. NeuroImage 21, 540–546 (2004)
Nieder, A., Miller, E.K.: Coding of cognitive magnitude. Compressed scaling of numerical information in the primate prefrontal cortex. Neuron 37, 149–157 (2003)
Stevens, C.F.: An evolutionary scaling law for the primate visual system and its basis in cortical function. Nature 411, 193–195 (2001)
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Gonzalo-Fonrodona, I., Porras, M.A. (2007). Physiological Laws of Sensory Visual System in Relation to Scaling Power Laws in Biological Neural Networks. In: Mira, J., Álvarez, J.R. (eds) Bio-inspired Modeling of Cognitive Tasks. IWINAC 2007. Lecture Notes in Computer Science, vol 4527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73053-8_10
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DOI: https://doi.org/10.1007/978-3-540-73053-8_10
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