Modeling of insulin action in vivo.
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Biomedical subjects
Publications and source records attributed to G M Steil.
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To study the route by which plasma insulin enters cerebrospinal fluid (CSF), the kinetics of uptake from plasma into cisternal CSF of both insulin and [14C]inulin were analyzed during intravenous infusion in anesthetized dogs. Four different mathematical models were used: three based on a two-compartment system (transport directly across the blood-CSF barrier by nonsaturable, saturable, or a combination of both mechanisms) and a fourth based on three compartments (uptake via an intermediate compartment). The kinetics of CSF uptake of [14C]inulin infused according to an "impulse" protocol were accurately accounted for only by the nonsaturable two-compartment model (determination coefficient [R2] = 0.879 +/- 0.044; mean +/- SEM; n = 5), consistent with uptake via diffusion across the blood-CSF barrier. When the same infusion protocol and model were used to analyze the kinetics of insulin uptake, the data fit (R2 = 0.671 +/- 0.037; n = 10) was significantly worse than that obtained with [14C]inulin (P = 0.02). Addition of a saturable component of uptake to the two-compartment model improved this fit, but was clearly inadequate for a subset of insulin infusion studies. In contrast, the three-compartment model accurately accounted for CSF insulin uptake in each study, regardless of infusion protocol (impulse infusion R2 = 0.947 +/- 0.026; n = 10; P less than 0.0001 vs. each two-compartment model; sustained infusion R2 = 0.981 +/- 0.003; n = 5). Thus, a model in which insulin passes through an intermediate compartment en route from plasma to CSF, as a part of a specialized transport system for the delivery of insulin to the brain, best accounts for the dynamics of this uptake process. This intermediate compartment could reside within the blood-CSF barrier or it may represent brain interstitial fluid, if CNS insulin uptake occurs preferentially across the blood-brain barrier.
In this paper we examine how a large array of neurons, and their associated neural circuitry, may determine known receptive field profile types and some well-known visual phenomena including Mach bands, edge enhancement, and visual masking of one signal by another. The neural model has a spatio-temporal structure and is described by a nonlinear integropartial differential difference equation with an isotropic Gabor kernel - a Gaussian apertured cosine modulation. Several simulations are presented.
The most common form of measuring electrical responses of nerve cells is the recording of a given cell's "spike train" profile to the parameters of a given input signal. In this paper we consider the conditions under which it is possible to relate such response measures to the properties of the cell's underlying activity characteristics, the neural network, and the input signal.
In this paper we consider some classical control theoretic properties of a nonlinear neural network proposed by Oğuztöreli (1979) to represent the activities of constituent neurones in terms of the input signals and coupling (associative) properties. By breaking the network into linear and nonlinear components we have been able to localize the nonlinearities in the individual neural response latencies through the system.