Development in a biologically inspired spinal neural network for movement control

In two phases, we develop neural network models of spinal circuitry which self-organises into networks with opponent channels for the control of an antagonistic muscle pair. The self-organisation is enabled by spontaneous activity present in the spinal cord. We show that after the process of self-organisation, the networks have developed the possibility to independently control the length and tension of the innerated muscles. This allows the specification of joint angle independent from the specification of joint stiffness. The first network comprises only motorneurons and inhibitory interneurons through which the two channels interact. The inhibitory interneurons prevent saturation of the motorneuron pools, which is a necessary condition for independent control. In the second network, however, the neurons in the motorneuron pools obey the size-principle, which is a threat to the desired invariance of joint angle for varying joint stiffness, because of the different amplification of inputs in the case these inputs are not equal. To restore the desired invariance the second network ha.s been expanded with Renshaw cells. The manner in which they are included in the circuitry corrects the problem caused by the addition of the size-principle. The results obtained from the two models compare favourably with the FLETE-model for spinal circuitry (Bullock & Grossberg, 1991; Bullock et al., HJ93; Bullock & Contreras-Vidal, 1993) which has been successful in explaining several phenomena related to motor control.Fulbright Scholarship; Office of Naval Research (N00014-92-J-1309, N00014-95-1-0409

VALUATION OF CROP AND LIVESTOCK REPORTS: METHODOLOGICAL ISSUES AND QUESTIONS

Demand and Price Analysis,

INTERREGIONAL COMPETITION IN THE U.S. SWINE-PORK INDUSTRY: AN ANALYSIS OF OKLAHOMA'S AND THE SOUTHERN STATES' EXPANSION POTENTIAL

Community/Rural/Urban Development,

Re United Electrical Workers, Local 523, and Welland Forge Ltd

Employee Grievance alleging failure to pay full pay for certain holidays. The facts: There was no real dispute between the parties about the facts. I should perhaps note at the outset that in its written statement of facts submitted to the board the union treats both grievances as relating to the July 1st holiday. The com-pany\u27s statement of facts, on the other hand, treats McHarg\u27s grievance as relating to the August 4th holiday. McHarg\u27s grievance form itself does not indicate to which holiday it relates. He was sick for both of them and it is a reasonable inference that his grievance, which is expressed in terms of a grievance against failure to pay for one holiday only, relates to the more recent of them. In any case, nothing turns on this discrepancy between the submission of the union and the submission of the company

Time Reversal and n-qubit Canonical Decompositions

For n an even number of qubits and v a unitary evolution, a matrix decomposition v=k1 a k2 of the unitary group is explicitly computable and allows for study of the dynamics of the concurrence entanglement monotone. The side factors k1 and k2 of this Concurrence Canonical Decomposition (CCD) are concurrence symmetries, so the dynamics reduce to consideration of the a factor. In this work, we provide an explicit numerical algorithm computing v=k1 a k2 for n odd. Further, in the odd case we lift the monotone to a two-argument function, allowing for a theory of concurrence dynamics in odd qubits. The generalization may also be studied using the CCD, leading again to maximal concurrence capacity for most unitaries. The key technique is to consider the spin-flip as a time reversal symmetry operator in Wigner's axiomatization; the original CCD derivation may be restated entirely in terms of this time reversal. En route, we observe a Kramers' nondegeneracy: the existence of a nondegenerate eigenstate of any time reversal symmetric n-qubit Hamiltonian demands (i) n even and (ii) maximal concurrence of said eigenstate. We provide examples of how to apply this work to study the kinematics and dynamics of entanglement in spin chain Hamiltonians.Comment: 20 pages, 3 figures; v2 (17pp.): major revision, new abstract, introduction, expanded bibliograph