Fractal rigidity by enhanced sympatho-vagal antagonism in heartbeat interval dynamics elicited by central application of corticotropin-releasing factor in mice

Journal of Mathematical Biology

Volumn 52, Issue 6, 2006, Pages 830-874

  Meyer, M ^a   Stiedl, O ^b  

^a MAX PLANCK INSTITUTE OF EXPERIMENTAL MEDICINE   (Germany)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Heart rate dynamics; Multifractals; Neuroautonomic system; Nonlinear time series analysis

Indexed keywords

CORTICOTROPIN RELEASING FACTOR; CORTICOTROPIN RELEASING FACTOR RECEPTOR;

ANIMAL; ARTICLE; AUTONOMIC NERVOUS SYSTEM; C57BL MOUSE; CARDIOVASCULAR FUNCTION; DRUG EFFECT; ELECTROCARDIOGRAPHY; FRACTAL ANALYSIS; HEART RATE; MALE; MOUSE; PHYSIOLOGY; STATISTICS;

ANIMALS; AUTONOMIC NERVOUS SYSTEM; CARDIOVASCULAR PHYSIOLOGY; CORTICOTROPIN-RELEASING HORMONE; ELECTROCARDIOGRAPHY; FRACTALS; HEART RATE; MALE; MICE; MICE, INBRED C57BL; RECEPTORS, CORTICOTROPIN-RELEASING HORMONE; STOCHASTIC PROCESSES;

EID: 33646713914     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-006-0375-5     Document Type: Article

References (66)

1. Abarbanel, H.D.I.: Analysis of observed chaotic data. Springer, New York, 1996
2. Abramowitz, M., Stegun, A.: Handbook of mathematical functions. Dover, New York, 1965
3. Amaral, L.A.N., Ivanov, P.C., Aoyagi, N., Hidaka, I., Tomono, S., Goldberger, A.L., Stanley, H.E., Yamamoto, Y.: Behavioral-independent features of complex heartbeat dynamics. Phys. Rev. Lett. 86, 6026-6029 (2001)
4. Bale, T.L., Contario, A.B., Smith, G.W., Chan, R., Gold, L.H., Sawchenko, P.E., Koob, G.F., Vale, W.W., Lee, K.F.: Mice deficient for corticotropin-releasing hormone receptor-2 display anxiety-like behavior and are hypersensitive to stress. Nature Genet. 24, 410-414 (2000)
5. Bale, T.L., Vale, W.W.: CRF and CRF receptors: role in stress responsivity and other behaviors. Annu. Rev. Pharmacol. Toxicol. 44, 525-557 (2004)
6. Brown, M.: Corticotropin relasing factor: central nervous system sites of action. Brain Res. 399, 10-14 (1986)
7. Brown, M.R., Fisher, L.A.: Central nervous system effects of corticotropin-releasing factor in the dog. Brain Res. 280, 75-79 (1983)
8. Brown, M.R., Fisher, L.A., Spiess, J., Rivier, J., Rivier, C., Vale, W.: Comparison of the biologic actions of corticotropin-releasing factor and sauvagine. Reg. Pept. 4, 107-114 (1982)
9. Brown, M.R., Fisher, L.A., Webb, V., Vale, W., Rivier, J.E.: Corticotropin-releasing factor: a physiologic regulator of adrenal epinephrine secretion. Brain Res. 328, 355-357 (1985)
10. Coste, S.C., Kesterton, R.A., Heldwein, K.A., Stevens, S.L., Heard, A.D., Hollis, J.H., Murray, S.E., Hill, J.K., Panteley, G.A., Hohimer, A.R., Halton, D.C., Phillips, T.J., Finn, D.A., Low, M.J., Rittenberg, M.B., Stenzel, P., Stenzel-Poore, M.P.: Abnormal adaptations to stress and impaired cardiovascular functions in mice lacking corticotropin-releasing hormone receptor-2. Nature Genet. 24, 403-409 (2000)
11. Eckart, K., Jahn, O., Radulovic, J., Tezval, H., van Werfen, L., Spiess, J.: A single amino acid serves as an affinity switch between the receptor and the binding protein of corticotropin-releasing factor: implications for the design of agonists and antagonists. Proc. Natl. Acad. Sci. USA 98, 11142-11147 (2001)
12. Felder, R.B., Francis, J., Zhang, Z.H., Wei, S.G., Weiss, R.M., Johnson, A.K.: Heart failure and the brain: new perspectives. Am. J. Physiol. Regul. Integr. Comp. Physiol. 284, R259-R276 (2003)
13. Fisher, L.A.: Central autonomic modulation of cardiac baroreflex by corticotropin-releasing factor. Am. J. Physiol. 256, H949-H955 (1989)
14. Fisher, L.A., Jessen, G., Brown, M.R.: Corticotropin-releasing factor (CRF): mechanism to elevate mean arterial pressure and heart rate. Regul. Pept. 5, 153-161 (1983)
15. Franklin, K.B.J., Paxinos, G.: The mouse brain in stereotaxic coordinates. Academic Press, San Diego, 1997
16. Gautama, T., Mandic, D.P., Van Hulle, M.M.: A novel method for determining the nature of time series. IEEE Trans. Biomed. Eng. 51, 728-736 (2004)
17. Goldberger, A.L., Amaral, L.A.N., Haussdorff, J.M., Ivanov, P.C., Peng, C.K., Stanley, H.E.: Fractal dynamics in physiology: alterations with disease and aging. Proc. Natl. Acad. Sci. USA 99, 2466-2472 (2002)
18. Grippo, A.J., Johnson, A.K.: Biological mechanisms in the relationship between depression and heart disease. Neurosci. Biobehav. Rev. 26, 941-962 (2002)
19. Grosskreutz, C.L., Brody, M.J.: Regional hemodynamic response to central administration of corticotropin-releasing factor (CRF). Brain Res. 442, 363-367 (1988)
20. Huang, N.E., Shen, Z., Long, S.R., Wu, M.L., Shih, H.H., Zheng, Q., Yen, N.C., Tung, C.C., Liu, H.H.: The empirical mode decomposition and Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. R. Soc. Lond. A 454, 903-995 (1998)
21. Ivanov, P.C., Amaral, L.A.N., Goldberger, A.L., Stanley, H.E.: Stochastic feedback and the regulation of biological rhythms. Europhys. Lett. 43, 363-368 (1998)
22. Ivanov, P.C., Amaral, L.A.N., Goldberger, A.L., Havlin, S., Rosenblum, M.G., Struzik, Z., Stanley, H.E.: Multifractality in human heartbeat dynamics. Nature 399, 461-485 (1999)
23. Ivanov, P.C., Amaral, L.A.N., Goldberger, A.L., Havlin, S., Rosenblum, M.G., Stanley, H.E., Struzik, Z.R.: From 1/f noise to multifractal cascades in heartbeat dynamics. Chaos 11, 641-652 (2001)
24. Ivanov, P.C. Chen, Z., Hu, K., Stanley, H.E.: Multiscale aspects of cardiac control. Physica A 344, 685-704 (2004)
25. Jahn, O., Eckart, K., Sydow, S., Hofmann, B.A., Spiess, J.: Pharmacological characterization of recombinant rat corticotropin releasing factor binding protein using different sauvagine analogs. Peptides 22 , 47-56 (2001)
26. Kantelhardt, J.W., Zschiegner, S.A., Koscielny-Bunde, E., Havlin, S., Bunde, A., Stanley, H.E.: Multifractal detrended fluctuation analysis of nonstationary time series. Physica A 316, 87-114 (2002)
27. Kanters, J.K., Holstein-Rathlou, N.H., Agner, E.: Lack of evidence for low-dimensional chaos in heart rate variability. J. Cardiovasc. Electrophysiol. 5, 591-601 (1994)
28. Kobayashi, M., Musha, T.: 1/f fluctuation of heartbeat period. IEEE Trans. Biomed. Eng. 29, 456-457 (1982)
29. Kurosawa, M., Sata, A., Swensen, R.S., Takahashi, Y.: Sympathoadrenal medullary functions in response to intracerebroventricularly injected corticotropin releasing factor in anesthetized rats. Brain Res. 367, 250-257 (1986)
30. Lefevre, J.H., Goodings, D.A., Kamath, M.V., Fallen, E.L.: Predictability of normal heart rhythms and deterministic chaos. Chaos 3, 267-276 (1993)
31. Levy, M.N.: Sympathetic-parasympathetic interactions in the heart. Circ. Res. 29, 437-445 (1971)
32. Maurer, M., Wang, H.D., Babloyantz, A.: Time structure of chaotic attractors: a graphical view. Phys. Rev. E 56, 1188-1196 (1997)
33. McClintock, J.K., Stefanovska, A.: Noise and determinism in cardiovascular dynamics. Physica A 314, 69-76 (2002)
34. Meneveau, C., Streenivasan, K.R.: Simple multifractal cascade model for fully developed turbulence. Phys. Rev. Lett. 59, 1424-1427 (1987)
35. Meyer, M.: Fractal scaling of heartrate dynamics in health and disease. In: Fractals in Biology and Medicine, Vol. 3, ed. Losa, A. et al., Birkhäuser, Basel, pp. 181-193 (2002)
36. Meyer, M., Stiedl, O.: Self-affine fractal variability of human heartbeat interval dynamics in health and disease. Eur. J. Appl. Physiol. 90, 305-316 (2003)
37. Meyer, M., Marconi, C., Ferretti, G., Fiocchi, R., Skinner, J.E., Cerretelli, P.: Is the heart preadapted to hypoxia? Evidence from fractal dynamics of heartbeat interval fluctuations at high altitude (5050m). Int. Phys. Behav. Sci. 33, 9-40 (1998a)
38. Meyer, M., Rahmel, A., Marconi, C., Grassi, B., Cerretelli, P., Skinner, J.E.: Stability of heartbeat interval distributions in chronic high altitude hyoxia. Int. Phys. Behav. Sci. 33, 344-362 (1998b)
39. Meyer, M., Stiedl, O., Kerman, B.: Discrimination by multifractal sprectrum estimation of human heartbeat interval dynamics. Fractals 11, 195-204 (2003)
40. Nijsen, M.J.M.A., Croiset, G., Stam, R., Bruijnzeel, A., Diamant, M., de Wied, D., Wiegand, V.M.: The role of the CRH type 1 receptor in autonomic responses to corticotropin-releasing hormone in the rat. Neuropsychopharmacology 22, 388-399 (2000)
41. Overton, J.M., Gorman-Davis, G., Fisher, L.A.: Central nervous effects of CRF and angiotensin II on cardiac output in conscious rats. J. Appl. Physiol. 69, 788-791 (1990)
42. Overton, J.M., Fisher, L.A.: Differentiated hemodynamic responses to central versus peripheral administration of corticotropin-releasing factor in conscious rats. J. Auton. Nerv. Syst. 35, 43-51 (1991)
43. Parkes, D.G., Weisinger, R.S. May, C.N.: Cardiovascular actions of CRH and urocortin: an update. Peptides 22, 821-827 (2001)
44. Peng, C.K., Mietus, J., Hausdorff, J.M., Havlin, S., Stanley, H.E., Goldberger, A.L.: Long-range anticorrelations and non-Gaussian behavior of the heartbeat. Phys. Rev. Lett. 70, 1343-1346 (1993)
45. Penninx, B.W.J.H., Beekman, A.T.F., Honig, A., Deeg, D.J.H., Schoevers, R.A., van Eijk, J.T.M., van Tilburg, W.: Depression and cardiac mortality: results from a community-based longitudinal study. Arch. Gen. Psychiatry 58, 221-227 (2001)
46. Perrin, M.H., Vale, W.W.: Corticotropin releasing factor and their ligand family. Ann. N.Y. Acad. Sci. 885, 312-328 (1999)
47. Poon, C.S., Merrill, C.K.: Decrease of cardiac chaos in congestive heart failure. Nature 389, 492-495 (1997)
48. Réka, A., Jeong, H., Barabási, A.L.: Error and attack tolerance of complex networks. Nature 406, 378-382 (2000)
49. Richter, R.M., Mulvany, M.J.: Comparison of hCRF and oCRF effects on cardiovascular responses after central, peripheral, and in vitro application. Peptides 16, 843-849 (1995)
50. Rozanski, A., Blumenthal, J.A., Kaplan, J.: Impact of psychological factors on the pathogenesis of cardiovascular disease and implications for therapy. Circulation 99, 2192-2217 (1999)
51. Rühmann, A., Bonk, I., Lin, C.J.R., Rosenfeld, M.G., Spiess, J.: Structural requirements for peptidic antagonists of the corticotropin-releasing factor receptor (CRFR): development of CRFR2β-selective antisauvagine-30. Proc. Natl. Acad. Sci. USA 95, 15264-15269 (1998)
52. Schreiber, T., Schmitz, A.: Improved surrogate data for nonlinearity tests. Phys. Rev. Lett. 77, 635-638 (1996)
53. Schreiber, T., Schmitz, A.: Surrogate time series. Physica D 142, 346-382 (2000)
54. Stiedl, O., Spiess, J.: Effect of tone-dependent fear conditioning on heart rate and behavior of C57BL/6N mice. Behav. Neurosci. 111, 703-711 (1997)
55. Stiedl, O., Meyer, M.: Fractal dynamics of heart beat interval fluctuations in corticotropin-releasing factor receptor subtype 2 deficient mice. Int. Phys. Behav. Sci. 37, 311-345 (2002)
56. Stiedl, O., Meyer, M.: Fractal dynamics in circadian cardiac time series of corticotropin-releasing factor receptor subtype-2 deficient mice. J. Math. Biol. 47, 169-197 (2003a)
57. Stiedl, O., Meyer, M.: Cardiac dynamics in corticotropin-releasing factor receptor subtype-2 deficient mice. Neuropeptides 37, 3-16 (2003b)
58. Stiedl, O., Meyer, M., Kishimoto, T., Rosenfeld, M.G., Spiess, J.: Stress-mediated heart rate dynamics after deletion of the gene encoding corticotropin-releasing factor receptor 2. Eur. J. Neurosci. 17, 2231-2235 (2003)
59. Stiedl, O., Tovote, P., Ögren, S.O., Meyer, M.: Behavioral and autonomic dynamics during contextual fear conditioning in mice. Autonomic Neuroscience: Basic & Clinical 115, 15-27 (2004)
60. Stiedl, O., Meyer, M., Jahn, O., Ögren, S.O., Spiess, J.: Corticotropin-releasing factor receptor 1 and central heart rate regulation in mice during expression of conditioned fear. J. Pharmacol. Exp. Ther. 312, 905-916 (2005)
61. Sugihara, G., Allan, O., Sobel, D., Allan, K.D.: Nonlinear control of heart rate variability in human infants. Proc. Natl. Acad. Sci. USA 93, 2608-2613 (1996)
62. Takens, F.: Detecting strange attractors in turbulence. In: Lecture Notes in Mathematics, Vol. 898. Dynamical systems and turbulence. Springer, Berlin, pp. 366-381 (1981)
63. Theiler, J., Eubank, S., Longtin, A., Galdrikian, B., Farmer, J.D.: Testing for nonlinearity in time series: the method of surrogate data. Physica D 58, 77-94 (1992)
64. Torpy, D.J., Webster, E.L., Zachman, E.K., Aguilera, G., Chrousos, G.P.: Urocortin and inflammation: confounding effects of hypotension on measures of inflammation. Neuroimmunomodulation 6, 182-186 (1999)
65. Vale, W., Spiess, J., Rivier, C., Rivier, J.: Characterization of a 41-residue ovine hypothalamic peptide that stimulates secretion of corticotropin and beta-endorphin. Science 213, 1394-1397 (1981)
66. Yamamoto, Y., Hughson, R.L., Sutton, J.R., Houston, C.S., Cymerman, A., Fallen, E.L., Kamath, M.V.: Operation Everest II: an indication of deterministic chaos in human heart rate variability at simulated altitude. Biol. Cybern. 69, 205-212 (1993)