Dynamical entropy is conserved during cocaine-induced changes in fetal rat motor patters

Psychoneuroendocrinology

Volumn 21, Issue 2, 1996, Pages 173-187

  Smotherman, William P ^a   Selz, Karen A ^b   Mandell, Arnold J ^b  

^a BINGHAMTON UNIVERSITY   (United States)

^b FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

Chaos; Cocaine; Entropy; Fetal behavior; Fractal dimension; Lyapounov exponent

Indexed keywords

ANIMAL BEHAVIOR; ARTICLE; DRUG DEPENDENCE; ENTROPY; FETOTOXICITY; MOTOR ACTIVITY; PRENATAL DRUG EXPOSURE; PRIORITY JOURNAL;

ANIMALS; COCAINE; DOSE-RESPONSE RELATIONSHIP, DRUG; ENTROPY; FEMALE; FETAL MOVEMENT; MALE; NARCOTICS; NONLINEAR DYNAMICS; PREGNANCY; PRENATAL EXPOSURE DELAYED EFFECTS; RATS; RATS, SPRAGUE-DAWLEY;

EID: 0029934154     PISSN: 03064530     EISSN: None     Source Type: Journal    
DOI: 10.1016/0306-4530(95)00040-2     Document Type: Article

References (53)

1. Aschoff J (1981) Handbook of Behavioral Neurobiology, Vol 4, Biological Rhythms. Plenum, New York.
2. Bowen R (1975) Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lect. Notes Math, Am Math Soc, Providence, RI.
3. Bowen R (1978) On Axiom A Diffeomorphisms 35. Am Math Soc, Providence, RI.
4. Corner MA (1977) Sleep and the beginnings of behavior in the animal kingdom - studies of ultradian motility cycles in early life. Progr Neurobiol 8:278-295.
5. Ding M, Grebogi C, Ott E, Sauer T, Yorke J (1993) Plateau onset for correlation dimension: When does it occur? Phys Rev Lett 70:3872-3875.
6. Dow-Edwards DL (1991) Cocaine effects on fetal development: A comparison of clinical and animal research findings. Neurotox Teratol 13:347-352.
7. Eckmann JP, Kampharst SO, Ruelle D, Ciliberto S (1986) Lyapounov exponents from time series. Phys Rev A34:4971-4978.
8. Fried D (1986) The zeta function of Ruelle and Selberg I. Ann Sci Ec Norm Sup 71:213-242.
9. Gingras JL, Weese-Mayer DE, Hume RF, O'Donnell KJ (1992) Cocaine and development: Mechanisms of fetal toxicity and neonatal consequences of prenatal cocaine exposure. Early Hum Dev 31:1-24.
10. Grassberger P, Procaccia I (1983) Measuring the stangeness of strange attractors. Physica 9D:189-208.
11. Holson RR, Pearce B (1992) Principles and pitfalls in the analysis of prenatal effects in multiparous species. Neurotox Teratol 14:221-228.
12. Jones RT (1984) P-300 studies with cocaine in man. In: Grabowski J (Ed) Cocaine: Pharmacology, Effects and Treatment of Abuse. NIDA Res Monographs 50:34-54.
13. Kittel C (1958) Elementary Statistical Physics. Wiley, New York.
14. Ledrappier F, Young LS (1985) The metric entropy of diffeomorphisms Part II: Relations between entropy, exponents and dimension. Ann Math 122:540-574.
15. Lyons M, Robbins TW (1975) The action of central nervous system stimulant drugs. In: Essman W, Valzelli L (Eds) Current Developments in Psychopharmacology, Vol. 2. Spectrum, New York, pp 79-163.
16. Mandell AJ (1983) From intermittency to transitivity in neuropsychobiological flows. Am J Physiol 245:R484-R494.
17. Mandell AJ (1987) Dynamical complexity and pathological order in the cardiac monitoring problem. Physica D27:1235-1243.
18. Mandell AJ, Russo PV, Knapp S (1982) Strange stability in hierarchically coupled neuropsychobiological systems. In: Haken H (Ed) Evolution of Order and Chaos. Springer, New York, pp 270-286.
19. Mandell AJ, Selz KA (1993a) Brain stem neuronal noise and neocortical resonance. J Stat Phys 70:355-373.
20. Mandell AJ, Selz KA (1993b) The new statistical dynamics: An informal look at invariant measures of psychological time series. In: Vallacher RR, Nowak AJ (Eds) Dynamical Systems in Social Psychology. Academic Press, New York, pp 55-69.
21. Manning A (1981) A relation between Lyapounov exponents, Hausdorff dimension and entropy. Erg Theory Dynam Sys 1:451-459.
22. Moessinger AC (1988) Morphological consequences of depressed or impaired fetal activity. In: Smotherman WP, Robinson SR (Eds) Behavior of the Fetus. Telford Press, Caldwell, New Jersey, pp 163-173.
23. National Institutes of Health (1986) Guide for the Care and Use of Laboratory Animals (DHEW Pub. No. 86-23). US Government Printing Office, Washington DC.
24. Oppenheim RW (1982) The neuroembryological study of behavior: Progress, problems, perspectives. In: Hunt RK (Ed) Current Topics in Developmental Biology, Vol. 17, Neural Development. Academic Press, New York, pp 257-309.
25. Parry W, Pollicott M (1983) An analogue of the prime number theorem for closed orbits of Axiom A flows. Ann Math 118:573-591.
26. Paulus MP, Geyer MA, Gold LH, Mandell AJ (1990) Ergodic measures of complexity in rat exploratory behavior. Proc Natl Acad Sci 87:723-727.
27. Petrov ES, Varlinskaya EI, Robinson SR, Smotherman WP, Costa BR de, Rice KC (1994) Kappa opioid effects on fetal behavior: Central administration of U50,488. Physiol Behav 56:175-182.
28. Pollicott M (1985) On the rate of mixing of Axiom A flows. Invent Math 81:413-426.
29. Robertson SS (1985) Cyclic motor activity in the human fetus after midgestation. Dev Psychobiol 18:411-419.
30. Robertson SS (1987) Human cyclic motility: Fetal-newborn continuities and newborn state differences. Dev Psychobiol 20:425-442.
31. Robertson SS (1988) Mechanism and function of cyclicity in spontaneous movement. In: Smotherman WP, Robinson SR (Eds) Behavior of the Fetus. Telford Press, Caldwell, New Jersey, pp 77-94.
32. Robertson SS, Bacher LF (1995) Oscillation and chaos in fetal activity. In: Lecanuet J-P, Krasnegor NA, Fifer WP, Smotherman WP (Eds) Fetal Development: A Psychobiological Perspective. Lawrence Erlbaum, New York, pp 169-190.
33. Robertson SS, Dierker LJ (1986) The development of cyclic motility in fetus of diabetic mothers. Dev Psychobiol 19:223-234.
34. Ruelle D (1989) Chaotic Evolution and Strange Attractors. Cambridge University Press, New York.
35. Selz KA (1992) Mixing Properties in Human Behavioral Style and Time Dependencies in Behavior Identification: The Modeling of a Universal Dynamical Law. University Microfilms International, Ann Arbor, Michigan.
36. Selz KA, Mandell AJ (1991) The Bernoulli partition-equivalence of intermittent neuronal discharge patterns. Int J Bifurc Chaos 1:717-722.
37. Selz KA, Mandell AJ (1992) Critical coherence and characteristic times in brain stem neuronal discharge patterns. In: McKenna T, Davis J, Zornetzer S (Eds) Single Neuron Computation. Academic, New York, pp 525-550.
38. Selz KA, Mandell AJ (1993) Style as mechanism: From man to a map of the interval and back. SPIE 2036:174-182.
39. Selz KA, Mandell AJ, Anderson CM, Smotherman WP, Teicher MH Distribution of local Mandelbrot-Hurst exponents: Motor activity in cocaine treated fetal rats and manic-depressive patients. Fractals (In press).
40. Shlesinger MF (1989) Fractal time in condensed matter. Ann Rev Phys Chem 39:269-290.
41. Simonik DK, Robinson SR, Smotherman WP (1993) Cocaine alters behavior in the rat fetus. Behav Neurosci 107:867-875.
42. Simonik DK, Robinson SR, Smotherman WP (1994) Cocaine alters cyclic motor activity in the fetal rat. Dev Psychobiol 27:489-501.
43. Singer L, Farkas K, Kliegman R (1992) Childhood medical and behavioral consequences of maternal cocaine use. J Pediatr Psych 17:389-406.
44. Singer L, Garber R, Kliegman R (1991) Neurobehavioral sequelae of fetal cocaine exposure. J Pediatrics 119:667-672.
45. Smale S (1967) Differential dynamical systems. Bull Am Math Soc 73:747-817.
46. Smale S (1981) The Mathematics of Time. Springer, New York.
47. Smotherman WP, Robinson SR (1987) Prenatal influences on development: Behavior is not a trivial aspect of fetal life. Dev Behav Pediatr 8:171-176.
48. Smotherman WP, Robinson SR (1988) The uterus as environment: The ecology of fetal experience. In: Blass EM (Ed) Handbook of Behavioral Neurobiology, Vol. 9, Developmental Psychobiology and Behavioral Ecology. Plenum, New York, pp 149-196.
49. Smotherman WP, Robinson SR (1991) Accessibility of the rat fetus for psychobiological investigation. In: Shair HN, Barr GA, Hofer MA (Eds) Developmental Psychobiology: New Methods and Changing Concepts. Oxford University Press, New York, pp 148-163.
50. Smotherman WP, Robinson SR, Robertson, SS (1988) Cyclic motor activity in the fetal rat (Rattus norvegicus). J Comp Psych 102:78-82.
51. Spear LP (1995) Neurobehavioral consequences of gestational cocaine exposure: A comparative analysis. Adv Inf Res 9:55-105.
52. Varlinskaya EI, Petrov ES, Robinson SR, Smotherman WP (1994). Behavioral effects of centrally administered arginine vasopressin in the rat fetus. Behav Neurosci 108:395-409.
53. Wolf A, Swift JB, Swinney HL, Vastano JA (1985) Determining Lyapounov spectra from a time series. Physica 16D:285-317.