title: The construction of a simultaneous functional order in nervous systems. IV. The influence of physical constraints on the resulting functional order.
abstract: The signal activity in a neural net will be constrained both by its physical structure and by environmental constraints. By monitoring its signal activity a neural system can build up a simultaneous functional order that encodes these constraints. We have previously (Part I) presented two models that construct a simultaneous functional order in a collection of neural elements using either signal-covariances or signal-coincides. In this paper we present the results of simulation experiments that were performed to study the influence of the physical constraints of a neural system on the simultaneous functional order produced by both models. In the simulation experiments we used a one-dimensional detector array. We delineate the physical constraints such an array has to satisfy in order to induce a functional order relation that allows an isomorphism with a geometrical order. We show that for an appropriate choice of the system parameters both models can produce a simultaneous functional order with sufficient internal coherence to allow isomorphisms with a triangulation. In this case the dimensionality and the coherence of the detector array are objectively available to the system itself.
authors: Department of Medical and Physiological Physics, University of Utrecht, The Netherlands.
authors: A
authors: A
authors: Toet
authors: J
authors: J
authors: Blom
authors: J J
authors: JJ
authors: Koenderink
mesh_terms: D004777:Environment; D008954:Models, Biological; D009420:Nervous System / Q000033:anatomy & histology; D009424:Nervous System Physiological Phenomena; D009474:Neurons / Q000502:physiology