%0 Journal Article %1 Amari1980 %A Amari, Shun-Ichi %D 1980 %I Springer %J Bulletin of Mathematical Biology %K classic dynamicfieldtheory model selforganization %N 3 %P 339--364 %T Topographic organization of nerve fields %V 42 %X The vertebrate nervous system has topographic interconnections in many parts, known for example as retinotopy, somatotopy, etc. It is plausible that modifiable synapses play an important role in forming and refining these connections together with the sensory experiences. To elucidate the mechanism of topographic organization, we propose a simple model consisting of two nerve fields connected by modifiable excitatory synapses. The model also includes modifiable inhibitory synapses. The behavior of the model is described by a set of simultaneous non-linear integro-differential equations. By analyzing the equations, we obtain the equilibrium solution of topographic connections. It is also proved that a part of the presynaptic field which is frequently stimulated comes to be mapped on a large area of the postsynaptic field so that it has a good resolution.

@article{Amari1980, abstract = {The vertebrate nervous system has topographic interconnections in many parts, known for example as retinotopy, somatotopy, etc. It is plausible that modifiable synapses play an important role in forming and refining these connections together with the sensory experiences. To elucidate the mechanism of topographic organization, we propose a simple model consisting of two nerve fields connected by modifiable excitatory synapses. The model also includes modifiable inhibitory synapses. The behavior of the model is described by a set of simultaneous non-linear integro-differential equations. By analyzing the equations, we obtain the equilibrium solution of topographic connections. It is also proved that a part of the presynaptic field which is frequently stimulated comes to be mapped on a large area of the postsynaptic field so that it has a good resolution.}, added-at = {2008-05-02T23:00:56.000+0200}, author = {Amari, Shun-Ichi}, biburl = {https://www.bibsonomy.org/bibtex/26317c0368626b3d3d55017a49a3de98f/tmalsburg}, interhash = {7fadc8419e3eb9c83c7d9d8a63e28615}, intrahash = {6317c0368626b3d3d55017a49a3de98f}, journal = {Bulletin of Mathematical Biology}, keywords = {classic dynamicfieldtheory model selforganization}, number = 3, pages = {339--364}, publisher = {Springer}, timestamp = {2008-05-02T23:00:56.000+0200}, title = {{Topographic organization of nerve fields}}, volume = 42, year = 1980 }