Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-27T21:28:08.044Z Has data issue: false hasContentIssue false
  • English
  • Français

A New Mathematical Model For Assessment of Memorization Dynamics

Published online by Cambridge University Press:  10 April 2014

Igor I. Stepanov  and
Charles I. Abramson
Igor I. Stepanov*
Affiliation:
Institute for Experimental Medicine, St. Petersburg, Russia
Charles I. Abramson
Affiliation:
Oklahoma State University, USA
*
Correspondence concerning this article should be addressed to Igor I. Stepanov, Department of Neuropharmacology, Institute for Experimental Medicine, 12 Acad. Pavlov Street, St. Petersburg, 197376, Russia. E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

A new memory model is proposed based on regression analysis and exponential- shaped learning curves. The efficacy of the model is tested with several types of experiments including food aversion in snails, maze learning in rats and memory tests for adults and children. The model is also tested on drug abusers and alcoholics. The results of goodness of fit tests indicate that our model can accurately be used to predict the memory dynamics of diverse experiments and populations. The model can also be used to predict both group and individual performance. The application of the model to detect memory impairment is discussed, as are limitations.

Se propone un nuevo modelo de memoria basado en el análisis de regresión y las curvas exponenciales de aprendizaje. La eficacia del modelo se verifica con varios tipos de experimentos incluyendo la aversión a la comida en caracoles, el aprendizaje de laberintos en ratas y las pruebas de memoria en adultos y niños. El modelo también se pone a prueba en drogadictos y alcohólicos. Los resultados de las pruebas de bondad de ajuste indican que nuestro modelo puede ser empleado con precisión para predecir las dinámicas de la memoria en diversos experimentos y poblaciones. También puede emplearse el modelo para predecir tanto la ejecución grupal como la individual. Se comenta la aplicación del modelo para detectar el deterioro de la memoria, así como las limitaciones del mismo.

Keywords

learningmemorymemorization dynamicslearning dynamicsaprendizajememoriadinámica de la memoriadinámica del aprendizaje
Type
Articles
Information
The Spanish Journal of Psychology , Volume 8 , Issue 2 , November 2005 , pp. 142 - 156
Copyright
Copyright © Cambridge University Press 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Albert, M.S. (1996). Cognitive and neurobiological markers of early Alzheimer disease. Proceedings of National Academy of Sciences USA, 93, 13547–13551.CrossRefGoogle ScholarPubMed
Atkinson, R.C., Bower, G.H., & Crothers, E.J. (1965). An introduction to mathematical learning theory. New York-London-Sydney: Wiley.Google Scholar
Balaban, P.M., & Stepanov, I.I. (1996). Innate and acquired behavior of mollusks. In Abramson, C.I., Shuranova, Z.P., & Burmistrov, Y.M. (Eds.), Russian contributions to invertebrate behavior (pp. 77–109). Westport, CT: Praeger and Greenwood Publishing Group.Google Scholar
Delis, D.C., Kramer, J.H., Kaplan, E., & Ober, B.A. (1987). California Verbal Learning Test. San Antonio, TX: The Psychological Corporation.Google Scholar
Draper, N.R., & Smith, H. (1981). Applied regression analysis. New York: Wiley.Google Scholar
Fedotova, Yu. O. (2000). The effects of the hormones of peripheral endocrine glands on the processes of behavior, learning, and memory. Neuroscience and Behavioral Physiology, 30, 75–80.CrossRefGoogle ScholarPubMed
Folstein, M.F., Folstein, S E., & McHugh, P.R. (1975). “Mini-Mental State”. A practical method for grading the cognitive state of patients for the clinician. Journal of Psychiatric Researches, 12, 189–198.CrossRefGoogle ScholarPubMed
Gallistel, C.R., Fairhurst, S., & Balsam, P. (2004). The learning curve: Implications of a quantitative analysis. Proceedings of National Academy of Sciences USA, 101, 13124–13131.CrossRefGoogle ScholarPubMed
Goncharov, O.V., Usenko, Yu. I., & Stepanov, I.I. (2002). Meditsinskaya reabilitatsiya s ispolsovaniem nootropov i acupuncturi [Medical rehabilitation with use of nootropics and acupuncture]. In Erishev, O.F., Rybakova, T.G., & Shabanov, P.D. (Eds.), Alcoholic dependence (pp. 126–146). St.-Petersburg: ELBY-SPb.Google Scholar
Grodins, F.S. (1963). Control theory and biological systems. New York, London: Columbia University Press.Google Scholar
Grober, E., & Buschke, H. (1987). Genuine memory deficits in dementia. Developmental Neuropsychoogy, 3, 13–36.CrossRefGoogle Scholar
Gulliksen, H. (1934). A rational equation of the learning curve based on Thorndike's law of effect. Journal of General Psychology, 11, 395–434.CrossRefGoogle Scholar
Himmelblau, D.M. (1970). Process analysis by statistical methods. New York: Wiley.Google Scholar
Hull, C.L. (1943). Principles of behavior. New York: Appleton Century Crofts.Google Scholar
Kendall, M.G., & Stuart, A. (1975). The advanced theory of statistics. 3. London: Charles Griffin.Google Scholar
Nikolskaya, K.A., & Khonicheva, N.M. (1999). Osobennosti obucheniya krys v usloviyakh svobodnogo vybora [Peculiarities of rat learning under free-choice conditions]. Zhurnal vistshei nervnoi deyatelnosti, 49, 436–445.Google Scholar
Lokhov, M.I., & Stepanov, I.I. (1987). Metod issledovaniya assotsiativnoy pamyaty u detei [The method of estimation of children's associative memory]. Patent No. 1292733 (USSR). Byulleten' izobretenii, 8.Google Scholar
Lokhov, M.I., & Stepanov, I.I. (1988). Metod opredeleniya funktsional'nogo sostoyaniya tsentral'noi nervnoi sistemi u tcheloveka [The method of estimation of a man's CNS functional state]. Patent No. 1377037 (USSR). Byulleten' izobretenii, 8.Google Scholar
Lokhov, M.I., Stepanov, I.I., & Vartanian, G.A. (1990). Evolutsionnie aspekti dinamiki virabotki prostikh uslovnikh refleksov [Evolutionary aspects of simple conditioned reflexes elaboration dynamics]. Zhurnal Evolutsionnoy Biokhimii i Phiziologii, 26, 213–219.Google Scholar
Lokhov, M.I., Stepanov, I.I., Edlina, T.A., & Vartanian, G.A. (1993). Dinamika formirovaniya proizvol'noi pamyati u detei [The dynamics of voluntary memory formation in children]. Psikchologicheskiy Zurnal, 14, 56–65.Google Scholar
Luria, A.R. (1962). Vishye korkovye funktzii tcheloveka i ikh narusheniya pri lokal'nikh povrezhdeniyakh mozga [The higher cortical functions in humans and their dysfunctions at local brain injury]. Moscow: Moscow State University Publishing House.Google Scholar
Maurice, T., Lockhart, B.P., & Privat, A. (1996). Amnesia induced in mice by centrally administered β-amyloid peptides involves cholinergic dysfunction. Brain Research, 706, 181–193.CrossRefGoogle ScholarPubMed
Paxinos, G., & Watson, C. (1986). The rat brain in stereotaxic coordinates (2nd ed.). San Diego, CA: Academic Press.Google Scholar
Robbins, T., James, M., Owen, A., Sahakian, B., McInnes, L., & Rabbitt, P. (1994). Cambridge Neuropsychological Test Automated Battery (CANTAB): A factor analytic study of a large sample of normal elderly volunteers. Dementia, 5, 266–281.Google ScholarPubMed
Sapronov, N.S., & Stepanov, I.I. (1996). Impairment of fine short-term memory mechanisms with some neurotropic drugs. European Neuropsychopharmacology, 6, Suppl. 3, 186.CrossRefGoogle Scholar
Sapronov, N.S., & Stepanov, I.I. (2004). Non-lineal rats are resistant to memory disruption with beta-amyloid. Psychiatrie, 8, Suppl. 4, 43–44.Google Scholar
Shabanov, P.D., Stepanov, I.I., Usenko, Yu. I., & Goncharov, O.V. (2000). Rol' akupunkturi v reabilititsionnom lechenii alcogolokov [The role of acupuncture in rehabilitation healing of alcoholics]. Klinitcheskaya meditsina I patofiziologiya, 2, 38–43.Google Scholar
Snodgrass, J. G., & Vanderwart, M. (1980). A standardized set of 260 pictures: Norm for name agreement, image agreement, familiarity, and visual complexity. Journal of Experimental Psychology: Human Learning and Memory, 6, 174–215.Google Scholar
Stepanov, I.I. (1983). Priblizhennii metod othsenivaniya parametrov krivoi obutcheniya [An approximate method of estimation of the learning curve parameters]. Physiologiya Tcheloveka, 9, 686–689.Google Scholar
Stepanov, I.I., & Lokhov, M.I. (1986). Dinamika virabotki uslovnikh refleksov I differentsirivki u nazemnoi ulitki, Helix pomatia [Dynamics of elaboration of conditioned reflex and stimuli discrimination in the land snail, Helix pomatia]. Zhurnal vistshei nervnoi deyatelnosti, 36, 698–706.Google Scholar
Stepanov, I.I., Lokhov, M.I., Satarov, A.S., Kuntsevich, S.V., & Vartanyan, G.A. (1988). Humoral link in the mechanism of formation of the food refusal conditioned response in the snail. Neuroscience and Behavioral Physiology, 18, 257–264.CrossRefGoogle ScholarPubMed
Swainson, R., Hodges, J., Galton, C., Semple, J., Michael, A., Dunn, B., Iddon, J.L., Robbins, T.W., & Sahakian, R.J. (2001). Early detection and differential diagnosis of Alzheimer's disease and depression with neuropsychological tasks. Dementia and Geriatric Cognitive Disorders, 12, 265–280.CrossRefGoogle ScholarPubMed
Towill, D.R. (1976). Transfer functions and learning curves. Ergonomics, 19, 623–638.CrossRefGoogle Scholar
Wechsler, D. (1987). Wechsler Memory Scale-Revised. San Antonio, TX: Psychological Corporation.Google Scholar
Wixted, J.T. (1997). Genuine power curves in forgetting: A quantitative analysis of individual subject forgetting functions. Memory & Cognition, 25, 731–739.CrossRefGoogle ScholarPubMed