Abstract
This paper describes mechanisms of intracellular and intercellular adaptation that are due to spatial or temporal factors. The spatial mechanisms support self-regulating pattern formation that is capable of directing self-organization in a large class of systems, including examples of directed intercellular growth, transmitter production, and intracellular conductance changes. A balance between intracellular flows and counterflows causes adaptation. This balance can be shifted by environmental inputs. The decrease in Ca2+-modulated outward K+ conductance in certain molluscan nerve cells is a likely example. Examples wherein Ca2+ acts as a second messenger that shunts receptor sensitivity can also be discussed from this perspective.
The systems differ in basic ways from recent diffusion models. Chemical transducers driven by membrane-bound intracellular signals can establish long-range intercellular interactions that compensate for variable intercellular distances and are invariant under developmental size changes; diffusional signals do not. The intracellular adaptational mechanisms are formally analogous to intercellular mechanisms that include cellular properties which are omitted in recent reaction-diffusion models of pattern formation. The cellular models use these properties to compute size-invariant properties despite wide variations in their intercellular signals.
Mechanisms of temporal adaptation can be derived from the simplest laws of chemical transduction by using a correspondence principle. These mechanisms lead to such properties of intercellular signals as transient overshoot, antagonistic rebound, and an inverted U in sensitivity as intracellular signals or adaptation levels shift. Such effects are implicated in studies of behavioral, reinforcement, motor control, and cognitive coding.
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Literature
Baylor, D. A. and A. L. Hodgkin. 1974. “Changes in Time Scale and Sensitivity in Turtle Photoreceptors.”J. Physiol. 242, 729–758.
—, A. L. Hodgkin and T. D. Lamb. 1974a. “The Electrical Response of Turtle Cones to Flashes and Steps of Light.”J. Physiol. 242, 685–727.
—, A. L. Hodgkin and T. D. Lamb. 1974b. “Reconstruction of the Electrical Responses of Turtle Cones to Flashes and Steps of Light.”J. Physiol. 242, 759–791.
Bonner, J. T. 1967.The Cellular Slime Molds, 2nd edn. Cambridge, MA: Harvard University Press.
Čapek, R., D. W. Esplin and S. Salehmoghaddam. 1971. “Rates of Transmitter Turnover at the Frog Neuromuscular Junction Estimated by Electrophysiological Techniques.”J. Neurophysiol. 34, 831–841.
Cornsweet, T. N. 1970.Visual Perception. New York: Academic Press.
Creutzfeldt, O. 1976. “The Brain as a Functional Entity.” InPerspectives in Brain Research, Progress in Brain Research, Ed. M. A. Corner and D. F. Swaab, Vol. 45, Amsterdam: Elsevier/North-Holland.
Deutsch, J. A. 1971. “The Cholinergic Synapse and the Site of Memory.”Science 174, 788–794.
Dickinson, A. and J. M. Pearce. 1977. “Inhibitory Interactions Between Appetitive and Aversive Stimuli.”Psychol. Bull. 84, 690–711.
Eccles, J. C. 1964.The Physiology of Synapses. New York: Academic Press.
Eckert, R. and H. D. Lux. 1977. “Calcium Dependent Depression of a Late Outward Current in Snail Neurons.”Science.
— and D. Tillotson. 1978. “Potassium Activation Associated with Intraneural Free Calcium.”Science 200, 437–439.
Ellias, S. A. and S. Grossberg. 1975. “Pattern Formation, Contrast Control, and Oscillations in the Short Term Memory of Shunting On-Center Off-Surround Networks.Biol. Cybernet. 20, 69–98.
Esplin, D. W. and B. Zablocka-Esplin. 1971. “Rates of Transmitter Turnover in Spinal Monosynaptic Pathway Investigated by Neurophysiological Techniques.”J. Neurophysiol. 34, 842–859.
Gierer, A. and H. Meinhardt. 1972. “A Theory of Biological Pattern Formation.”Kybernetik 12, 30–39.
Grossberg, S. 1964.The Theory of Embedding Fields with Applications to Psychology and Neurophysiology. The Rockefeller Institute for Medical Research.
—. 1967. “Nonlinear Difference Differential Equations in Prediction and Learning Theory.”Proc. Natn. Acad. Sci. U.S.A. 58, 1329–1334.
—. 1969a. “On the Production and Release of Chemical Transmitters and Related Topics in Cellular Control.”J. Theoret. Biol. 22, 325–364.
—. 1969b. “On Learning and Energy-Entropy Dependence in Recurrent and Nonrecurrent Signed Networks.”J. Stat. Phys. 1, 319–350.
—. 1970. “Neural Pattern Discrimination.”J. Theoret. Biol. 27, 291–337.
—. 1971. “Pavlovian Pattern Learning by Nonlinear Neural Networks.”Proc. Natn. Acad. Sci. U.S.A. 68, 828–831.
—. 1972a. “Pattern Learning by Functional-Differential Neural Networks with Arbitrary Path Weights.” InDelay and Functional-Differential Equations and Their Applications, Ed. K. Schmitt. New York: Academic Press.
—. 1972b. “A Neural Theory of Punishment and Avoidance, II. Quantitative Theory.”Mathl Biosci. 15, 253–285.
—. 1973. “Contour Enhancement, Short Term Memory, and Constancies in Reverberating Neural Networks.”Stud. Appl. Math. 52, 217–257.
—. 1974. “Classical and Instrumental Learning by Neural Networks.” InProgress in Theoretical Biology, Ed. R. Rosen and F. Snell. New York: Academic Press.
Grossberg, S. 1975. “A Neural Model of Attention, Reinforcement, and Discrimination Learning. InInternational Reviews of Neurobiology, Ed. C. Pfeiffer, Vol. 18, pp. 263–327.
—. 1976. “Adaptive Pattern Classification and Universal Recoding, II: Feedback, Expectation, Olfaction, Illusions.”Biol. Cybernet. 23, 187–202.
—. 1977. “Pattern Formation by the Global Limits of a Nonlinear Competitive Interaction inn Dimensions.”J. Math. Biol. 4, 237–256.
—. 1978a. “Communication, Memory, and Development.” InProgress in Theoretical Biology, Ed. R. Rosen and F. Snell, Vol. 5, New York: Academic Press.
—. 1978b. “A Theory of Human Memory: Self-Organization of Sensory-Motor Codes, Maps, and Plans.” InProgress in Theoretical Biology, Ed. R. Rosen and F. Snell, Vol. 5. New York: Academic Press.
—. 1978c. “A Theory of Visual Coding, Memory, and Development.” InFormal Theories of Visual Perception. Ed. E. L. J. Leeuwenberg and H. F. J. M. Buffart, New York: Wiley.
—. 1978d. “Decisions, Patterns, and Oscillations in Nonlinear Competitive Systems with Applications to Volterra-Lotka Systems.”J. Theoret. Biol. 73, 101–130.
—. 1978e. “Competition, Decision, and Consensus,”J. Math. Anal. Applics,66, 470–493.
Grossberg, S. 1980. “How Does a Brain Build a Cognitive Code?”Psychol. Rev. (in press).
Gustafson, T. and L. Wolpert. 1967. “Cellular Movement and Contact in Sea Urchin Morphogenesis.”Biol. Rev. 42, 442–448.
Keating, M. J. 1976. “The Formation of Visual Neuronal Connections: An Appraisal of the Present Status of the Theory of ‘Neuronal Specificity’.” InNeural and Behavioral Specificity, Ed. G. Gottlieb, Vol. 3. New York: Academic Press.
Keller, E. F. and L. A. Segel. 1970. “Initiation, of Slime Mold Aggregation Viewed as an Instability.”J. Theoret. Biol. 26, 399–415.
Kuffler, S. W. and J. G. Nicholls, 1976.From Neuron to Brain, Sunderland, MA: Sinauer Associates.
Lawrence, P. A., F. H. C. Crick and M. Munro. 1972. “A Gradient of Positional Information in an Insect,Rhodnius.”J. Cell. Sci. 11, 815–854.
Levine, D. S. and S. Grossberg. 1976. “Visual Illusions in Neural Networks: Line Neutralization, Tilt Aftereffect, and Angle Expansion.”J. Theoret. Biol. 61, 477–504.
McCandless, D. L., B. Zablocka-Esplin and D. W. Explin. 1971. “Rates of Transmitter Turnover in the Cat Superior Carvival Ganglion Estimated by Electrophysiological Techniques.”J. Neurophysiol. 34, 817–830.
Meinhardt, H. and A. Gierer. 1974. “Applications of a Theory of Biological Pattern Formation Based on Lateral Inhibition.”J. Cell Sci. 15, 321–346.
Meyer, R. L. and R. W. Sperry. 1976. “Retinotectal Specificity: Chemoaffinity Theory.” InNeural and Behavioral Specificity, Ed. G. Gottlieb, Vol. 3. New York: Academic Press.
Normann, R. A. and F. S. Werblin. 1974. “Control of Retinal Sensitivity: I, Light and Dark Adaptation of Vertebrate Rods and Cones,”J. Gen. Physiol. 63 37–61.
Rescorla, R. A. and A. R. Wagner. 1972. “A Theory of Pavlovian Conditioning: Variations in the Effectiveness of Reinforcement and Nonreinforcement. InClassical Conditioning II: Current Research and Theory. Ed. A. H. Black and W. F. Prokasy. New York: Appleton-Century-Crofts.
Ruch, T. C., H. D. Patton, J. W. Woodbury and A. L. Towe. 1961.Neurophysiology. Philadelphia: W. B. Saunders.
Schulman, J. A. and F. F. Weight. 1976. “Synoptic Transmission: Long-Lasting Potentiation by a Post-synaptic Mechanism.”Science 194, 1437–1439.
Sperling, G. 1970. “Model of Visual Adaptation and Contrast Detection.”Percep. Psychophys. 8, 143–157.
Werblin, F. S. 1971. “Adaptation in a Vertebrate Retina: Intracellular Recording in Necturus.”J. Neurophys. 34, 228–241.
Wolpert, L. 1974. “Positional Information and the Development of Pattern and Form.”Lect. Math. Life Sci. 6, 28–41.
— 1978. “Pattern Formation in Biological Development.”Scient. Am. 239, 154–164.
Woody, C. D., A. A. Buerger, R. A. Ungar and D. S. Levine. 1976. “Modeling Aspects of Learning by Altering Biophysical Properties of a Simulated Neuron”Biol. Cybernet,23, 73–82.
Zablocka-Esplin, B. and D. W. Esplin. 1971. “Persistent Changes in Transmission in Spinal Monosynaptic Pathway after Prolonged Tetanization.”J. Neurophysiol. 34, 860–867.
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Supported in part by the National Science Foundation (NSF MCS 77-02958).
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Grossberg, S. Intracellular mechanisms of adaptation and self-regulation in self-organizing networks: The role of chemical transducers. Bltn Mathcal Biology 42, 365–396 (1980). https://doi.org/10.1007/BF02460792
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DOI: https://doi.org/10.1007/BF02460792