메뉴 건너뛰기




Volumn 4, Issue 2, 2007, Pages 177-186

Theoretical models for chronotherapy: Periodic perturbations in funnel chaos type

Author keywords

Biological rhythm; Chaotic chemical reactions; Chronobiology; Chronotherapy; Funnel chaos; Non linear dynamics; R ssler system

Indexed keywords


EID: 34547326849     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2007.4.177     Document Type: Article
Times cited : (14)

References (60)
  • 1
    • 34547351379 scopus 로고    scopus 로고
    • K. T. Alligood, T. D. Sauer and J. A. Yorke, Chaos in differential equations In CHAOS- AN INTRODUCTION TO DYNAMICAL SYSTEMS, Springer, New York, 1996, pp. 273-327
    • K. T. Alligood, T. D. Sauer and J. A. Yorke, "Chaos in differential equations" In CHAOS- AN INTRODUCTION TO DYNAMICAL SYSTEMS, Springer, New York, 1996, pp. 273-327
  • 2
    • 34547271770 scopus 로고    scopus 로고
    • B. R. Andrievskii and A. L. Fradkov, CONTROL OF CHAOS: METHODS AND APPLICATIONS. I. METHODS. Automation and Remote Control 64 (2003) 679-713.
    • B. R. Andrievskii and A. L. Fradkov, CONTROL OF CHAOS: METHODS AND APPLICATIONS. I. METHODS. Automation and Remote Control 64 (2003) 679-713.
  • 3
    • 84904240277 scopus 로고    scopus 로고
    • CONTROL OF CHAOS: METHODS AND APPLICATIONS. II. APPLICATIONS. Automation and Remote Control
    • 65 (2004) 505-33
    • B. R. Andrievskii and A. L. Fradkov, CONTROL OF CHAOS: METHODS AND APPLICATIONS. II. APPLICATIONS. Automation and Remote Control 65 (2004) 505-33.
    • Andrievskii, B.R.1    Fradkov, A.L.2
  • 4
    • 34547294175 scopus 로고    scopus 로고
    • V. S. Anishchenko, T. E. Vadivasova, A. S. Kopeikin, G. I. Strelkova and J. Khurts, SPECTRAL AND CORRELATION ANALYSIS OF SPIRAL CHAOS. Fluctuations and Noise Letters 3 (2003) L213-21.
    • V. S. Anishchenko, T. E. Vadivasova, A. S. Kopeikin, G. I. Strelkova and J. Khurts, SPECTRAL AND CORRELATION ANALYSIS OF SPIRAL CHAOS. Fluctuations and Noise Letters 3 (2003) L213-21.
  • 5
    • 0037671478 scopus 로고    scopus 로고
    • V. S. Anishchenko, T. E. Vadivasova, G. A. Okrokvertskhov and G. I. Strelkova, CORRELATION ANALYSIS OF DYNAMICAL CHAOS. Physica A 325 (2003) 199-212.
    • V. S. Anishchenko, T. E. Vadivasova, G. A. Okrokvertskhov and G. I. Strelkova, CORRELATION ANALYSIS OF DYNAMICAL CHAOS. Physica A 325 (2003) 199-212.
  • 6
    • 34547260189 scopus 로고    scopus 로고
    • V. S. Anishchenko, T. E. Vadivasova, G. I. Strelkova and G. A. Okrokvertskhov, STATISTICAL PROPERTIES OF DYNAMICAL CHAOS. Mathematical Biosciences and Engineering 1 (2004) 161-84.
    • V. S. Anishchenko, T. E. Vadivasova, G. I. Strelkova and G. A. Okrokvertskhov, STATISTICAL PROPERTIES OF DYNAMICAL CHAOS. Mathematical Biosciences and Engineering 1 (2004) 161-84.
  • 7
    • 23244438756 scopus 로고    scopus 로고
    • MIXING AND SPECTRAL-CORRELATION PROPERTIES OF CHAOTIC AND STOCHASTIC SYSTEMS: NUMERICAL AND PHYSICAL EXPERIMENTS. New
    • V. S. Anishchenko, G. A. Okrokvertskhov, T. E. Vadivasova and G. I. Strelkova, MIXING AND SPECTRAL-CORRELATION PROPERTIES OF CHAOTIC AND STOCHASTIC SYSTEMS: NUMERICAL AND PHYSICAL EXPERIMENTS. New J. Phys. 7 (2005) 76.
    • (2005) J. Phys , vol.7 , pp. 76
    • Anishchenko, V.S.1    Okrokvertskhov, G.A.2    Vadivasova, T.E.3    Strelkova, G.I.4
  • 8
    • 36449001626 scopus 로고    scopus 로고
    • J. Bélair, L. Glass, U. A. der Heiden and J. Milton, DYNAMICAL DISEASE: IDENTIFICATION, TEMPORAL ASPECTS AND TREATMENT STRATEGIES OF HUMAN ILLNESS. Chaos 5 (1995) 1-7.
    • J. Bélair, L. Glass, U. A. der Heiden and J. Milton, DYNAMICAL DISEASE: IDENTIFICATION, TEMPORAL ASPECTS AND TREATMENT STRATEGIES OF HUMAN ILLNESS. Chaos 5 (1995) 1-7.
  • 9
    • 1842426549 scopus 로고    scopus 로고
    • S. Bernard, J. Bélair and M. C. Mackey, BIFURCATIONS IN A WHITE-BLOOD-CELL PRODUCTION MODEL. C. R. Biologies 327 (2004) 201-10.
    • S. Bernard, J. Bélair and M. C. Mackey, BIFURCATIONS IN A WHITE-BLOOD-CELL PRODUCTION MODEL. C. R. Biologies 327 (2004) 201-10.
  • 10
    • 34547262463 scopus 로고    scopus 로고
    • J. A. Betancourt-Mar, I. S. Alarcn-Montelongo and J. M. Nieto-Villar, THEORETICAL MODELS IN CHRONOTHERAPY: II. PERIODIC PERTURBATIONS IN A CHAOTIC CHEMICAL REACTION. Biological Rhythm Research. 37 (2006) 131-6.
    • J. A. Betancourt-Mar, I. S. Alarcn-Montelongo and J. M. Nieto-Villar, THEORETICAL MODELS IN CHRONOTHERAPY: II. PERIODIC PERTURBATIONS IN A CHAOTIC CHEMICAL REACTION. Biological Rhythm Research. 37 (2006) 131-6.
  • 11
    • 0034178680 scopus 로고    scopus 로고
    • THE CONTROL OF CHAOS: THEORY AND APPLICATIONS. Physics Reports 329 (2000) 103-97
    • S. Boccaletti, C. Grebogi, Y. C. Lai, H. Mancini and D. Maza, THE CONTROL OF CHAOS: THEORY AND APPLICATIONS. Physics Reports 329 (2000) 103-97.
    • Boccaletti, S.1    Grebogi, C.2    Lai, Y.C.3    Mancini, H.4    Maza, D.5
  • 12
    • 33751155330 scopus 로고    scopus 로고
    • T. V. Bronnikova, V. R. Fed'nika, W. M. Schaffer and L. F. Olsen, PERIOD-DOUBLING BIFURCATIONS AND CHAOS IN A DETAILED MODEL OF THE PEROXIDASE-OXIDASE REACTION. J. Phys. Chem. 99 (1995) 9309-12.
    • T. V. Bronnikova, V. R. Fed'nika, W. M. Schaffer and L. F. Olsen, PERIOD-DOUBLING BIFURCATIONS AND CHAOS IN A DETAILED MODEL OF THE PEROXIDASE-OXIDASE REACTION. J. Phys. Chem. 99 (1995) 9309-12.
  • 13
    • 0031673064 scopus 로고    scopus 로고
    • T. V. Bronnikova, W. M. Schaffer, M. J. B. Hauser and L. F. Olsen, ROUTES TO CHAOS IN THE PEROXIDASE-OXIDASE REACTION. 2 THE FAT TORUS SCENARIO. J. Phys. Chem. B 102 (1998) 632-40.
    • T. V. Bronnikova, W. M. Schaffer, M. J. B. Hauser and L. F. Olsen, ROUTES TO CHAOS IN THE PEROXIDASE-OXIDASE REACTION. 2 THE FAT TORUS SCENARIO. J. Phys. Chem. B 102 (1998) 632-40.
  • 14
    • 34547325120 scopus 로고    scopus 로고
    • D. Claude, J. Clairambault and F. Levi, RYTHMES BIOLOGIQUES ET CHRONOTHRAPEUTIQUE: COMPARAISON ENTRE DES SCHMES D'ADMINISTRATION THORIQUES ET DES THRAPEUTIQUES APPLIQUES EN CANCROLOGIE. ESAIM: PROCEEDINGS 9 (2000) 119-137.
    • D. Claude, J. Clairambault and F. Levi, RYTHMES BIOLOGIQUES ET CHRONOTHRAPEUTIQUE: COMPARAISON ENTRE DES SCHMES D'ADMINISTRATION THORIQUES ET DES THRAPEUTIQUES APPLIQUES EN CANCROLOGIE. ESAIM: PROCEEDINGS 9 (2000) 119-137.
  • 15
    • 0033980689 scopus 로고    scopus 로고
    • D. Claude and J. Clairambault, PERIOD SHIFT INDUCTION BY INTERMITTENT STIMULATION IN A DROSOPHILA MODEL OF PER PROTEIN OSCILLATIONS. Chronobiol. Int. 17 (2000) 1-14.
    • D. Claude and J. Clairambault, PERIOD SHIFT INDUCTION BY INTERMITTENT STIMULATION IN A DROSOPHILA MODEL OF PER PROTEIN OSCILLATIONS. Chronobiol. Int. 17 (2000) 1-14.
  • 16
    • 26044443571 scopus 로고    scopus 로고
    • C. Colijn and M. C. Mackey, A MATHEMATICAL MODEL OF HEMATOPOIESIS: I. PERIODIC CHRONIC MYELOGENOUS LEUKEMIA. J. Theor. Biol. 237 (2005) 117-32.
    • C. Colijn and M. C. Mackey, A MATHEMATICAL MODEL OF HEMATOPOIESIS: I. PERIODIC CHRONIC MYELOGENOUS LEUKEMIA. J. Theor. Biol. 237 (2005) 117-32.
  • 17
    • 26044442893 scopus 로고    scopus 로고
    • C. Colijn and M. C. Mackey, A MATHEMATICAL MODEL OF HEMATOPOIESIS: II. CYCLICAL NEUTROPENIA. J. Theor. Biol. 237 (2005) 133-46.
    • C. Colijn and M. C. Mackey, A MATHEMATICAL MODEL OF HEMATOPOIESIS: II. CYCLICAL NEUTROPENIA. J. Theor. Biol. 237 (2005) 133-46.
  • 18
    • 0041312596 scopus 로고    scopus 로고
    • B. Coudert, G. Bjarnasonb, C Focanc, E. Donato di Paola and F Lvie, IT IS TIME FOR CHRONOTHERAPY! Pathologie Biologie 51 (2003) 197-200.
    • B. Coudert, G. Bjarnasonb, C Focanc, E. Donato di Paola and F Lvie, IT IS TIME FOR CHRONOTHERAPY! Pathologie Biologie 51 (2003) 197-200.
  • 19
    • 0038208315 scopus 로고    scopus 로고
    • M. Cutolo, B. Seriolo, C. Craviotto, C. Pizzorni and A. Sulli, CIRCADIAN RHYTHMS IN RA. Ann. Rheum. Dis. 62 (2003) 593-6.
    • M. Cutolo, B. Seriolo, C. Craviotto, C. Pizzorni and A. Sulli, CIRCADIAN RHYTHMS IN RA. Ann. Rheum. Dis. 62 (2003) 593-6.
  • 20
    • 5044248481 scopus 로고    scopus 로고
    • D. Delignières, M. Fortes and G. Ninot, THE FRACTAL DYNAMICS OF SELF-ESTEEM AND PHYSICAL SELF. Nonlinear Dynamics in Psychology and Life Sciences 8 (2004) 497-510.
    • D. Delignières, M. Fortes and G. Ninot, THE FRACTAL DYNAMICS OF SELF-ESTEEM AND PHYSICAL SELF. Nonlinear Dynamics in Psychology and Life Sciences 8 (2004) 497-510.
  • 21
    • 0142200277 scopus 로고    scopus 로고
    • M. Eriguchi, F. Levi, T. Hisa, H. Yanagie, Y. Nonaka and Y. Takeda, CHRONOTHERAPY FOR CANCER. Biomedicine & Pharmacotherapy 57 (2003) 92s-5s.
    • M. Eriguchi, F. Levi, T. Hisa, H. Yanagie, Y. Nonaka and Y. Takeda, CHRONOTHERAPY FOR CANCER. Biomedicine & Pharmacotherapy 57 (2003) 92s-5s.
  • 22
    • 0032956844 scopus 로고    scopus 로고
    • P. Fortin and M. C. Mackey, PERIODIC CHRONIC MYELOGENOUS LEUKAEMIA: SPECTRAL ANALYSIS OF BLOOD CELL COUNTS AND AETIOLOGICAL IMPLICATIONS. British Journal of Haematology 104 (1999) 336-45.
    • P. Fortin and M. C. Mackey, PERIODIC CHRONIC MYELOGENOUS LEUKAEMIA: SPECTRAL ANALYSIS OF BLOOD CELL COUNTS AND AETIOLOGICAL IMPLICATIONS. British Journal of Haematology 104 (1999) 336-45.
  • 23
    • 0036244827 scopus 로고    scopus 로고
    • U. Foryś, MARCZUK'S MODEL OF IMMUNE SYSTEM DYNAMICS WITH APPLICATION TO TUMOUR. J. Theor. Medicine 4 (2002) 85-93.
    • U. Foryś, MARCZUK'S MODEL OF IMMUNE SYSTEM DYNAMICS WITH APPLICATION TO TUMOUR. J. Theor. Medicine 4 (2002) 85-93.
  • 24
    • 34547315083 scopus 로고    scopus 로고
    • P. Gaspard, Rssler systems In ENCYCLOPEDIA OF NONLINEAR SCIENCE, edited by A. Scott, Routledge, New York, 2005 pp. 808-11
    • P. Gaspard, "Rssler systems" In ENCYCLOPEDIA OF NONLINEAR SCIENCE, edited by A. Scott, Routledge, New York, 2005 pp. 808-11
  • 25
    • 34547325880 scopus 로고    scopus 로고
    • C. W. Gear, The automatic integration of stiff ordinary differential equations In PROCESSING 68: PROCEEDINGS OF THE IFIP CONGRESS 68, edited by A J H Marvel, North-Holland, New York, 1968, pp 187-193
    • C. W. Gear," The automatic integration of stiff ordinary differential equations" In PROCESSING 68: PROCEEDINGS OF THE IFIP CONGRESS 68, edited by A J H Marvel, North-Holland, New York, 1968, pp 187-193
  • 26
    • 0035826148 scopus 로고    scopus 로고
    • L. Glass, SYNCHRONIZATION AND RHYTHMIC PROCESSES IN PHYSIOLOGY. Nature 410 (2001) 277-84.
    • L. Glass, SYNCHRONIZATION AND RHYTHMIC PROCESSES IN PHYSIOLOGY. Nature 410 (2001) 277-84.
  • 27
    • 0027723782 scopus 로고    scopus 로고
    • L. Glass and D. Kaplan, TIME SERIES ANALYSIS OF COMPLEX DYNAMICS IN PHYSIOLOGY AND MEDICINE. Med. Prog. Technol. 19 (1993) 115-28.
    • L. Glass and D. Kaplan, TIME SERIES ANALYSIS OF COMPLEX DYNAMICS IN PHYSIOLOGY AND MEDICINE. Med. Prog. Technol. 19 (1993) 115-28.
  • 28
    • 34547268816 scopus 로고    scopus 로고
    • L. Glass, Dynamical disease - the impact of nonlinear dynamics and chaos on cardiology and medicine In THE IMPACT OF CHAOS ON SCIENCE AND SOCIETY, edited by C. Grebogi and J. A. Yorke, United Nations University Press, New York, 1997, pp. 219-231
    • L. Glass, "Dynamical disease - the impact of nonlinear dynamics and chaos on cardiology and medicine" In THE IMPACT OF CHAOS ON SCIENCE AND SOCIETY, edited by C. Grebogi and J. A. Yorke, United Nations University Press, New York, 1997, pp. 219-231
  • 30
    • 0026150042 scopus 로고    scopus 로고
    • A. L. Goldberger, IS THE NORMAL HEARTBEAT CHAOTIC OR HOMEOSTATIC?. News Physiol. Sci. 6 (1991) 87-91.
    • A. L. Goldberger, IS THE NORMAL HEARTBEAT CHAOTIC OR HOMEOSTATIC?. News Physiol. Sci. 6 (1991) 87-91.
  • 31
    • 0008849269 scopus 로고    scopus 로고
    • A. Goldbeter, D. Gonze, G. Houart, J.-C. Leloup, J. Halloy, and G. Dupont, FROM SIMPLE TO COMPLEX OSCILLATORY BEHAVIOR IN METABOLIC AND GENETIC CONTROL NETWORK. Chaos 11 (2001) 247-60.
    • A. Goldbeter, D. Gonze, G. Houart, J.-C. Leloup, J. Halloy, and G. Dupont, FROM SIMPLE TO COMPLEX OSCILLATORY BEHAVIOR IN METABOLIC AND GENETIC CONTROL NETWORK. Chaos 11 (2001) 247-60.
  • 32
    • 0034288615 scopus 로고    scopus 로고
    • D and A. Goldbeter, ENTRAINMENT VERSUS CHAOS IN A MODEL FOR A CIRCADIAN OSCILLATOR DRIVEN BY LIGHT-DARK CYCLES
    • D. Gonze D and A. Goldbeter, ENTRAINMENT VERSUS CHAOS IN A MODEL FOR A CIRCADIAN OSCILLATOR DRIVEN BY LIGHT-DARK CYCLES. J. Stat. Phys. 101 (2000) 649-63.
    • (2000) J. Stat. Phys , vol.101 , pp. 649-663
    • Gonze, D.1
  • 33
    • 0001727966 scopus 로고    scopus 로고
    • M. J. B. Hauser, L. F. Olsen, T. V. Bronnikova and W. M. Schaffer, ROUTES TO CHAOS IN THE PEROXIDASE-OXIDASE REACTION: PERIOD-DOUBLING AND PERIOD-ADDING. J. Phys. Chem. B 101 (1997) 5075-83.
    • M. J. B. Hauser, L. F. Olsen, T. V. Bronnikova and W. M. Schaffer, ROUTES TO CHAOS IN THE PEROXIDASE-OXIDASE REACTION: PERIOD-DOUBLING AND PERIOD-ADDING. J. Phys. Chem. B 101 (1997) 5075-83.
  • 34
    • 0000810560 scopus 로고    scopus 로고
    • R. Hegger H. Kantz and T. Schreiber, PRACTICAL IMPLEMENTATION OF NONLINEAR TIME SERIES METHODS: THE TISEAN PACKAGE. Chaos 9 (1999) 413-35.
    • R. Hegger H. Kantz and T. Schreiber, PRACTICAL IMPLEMENTATION OF NONLINEAR TIME SERIES METHODS: THE TISEAN PACKAGE. Chaos 9 (1999) 413-35.
  • 35
    • 0036268562 scopus 로고    scopus 로고
    • A CHAOTIC MODEL FOR TIGHT DIABETES CONTROL. Diabetic
    • T. A. Holt, A CHAOTIC MODEL FOR TIGHT DIABETES CONTROL. Diabetic Medicine 19 (2002) 274-8.
    • (2002) Medicine , vol.19 , pp. 274-278
    • Holt, T.A.1
  • 36
    • 34547280133 scopus 로고    scopus 로고
    • INRIA, SCILAB. VER 2.7 (2003). A free scientific software package for numerical computations. Available from: http://www.scilab.org
    • INRIA, SCILAB. VER 2.7 (2003). A free scientific software package for numerical computations. Available from: http://www.scilab.org
  • 37
    • 0032207655 scopus 로고    scopus 로고
    • H. Kantz and T Schreiber, THE HUMAN ECG-NONLINEAR DETERMINISTIC VERSUS STOCHASTIC ASPECTS. IEE Proc. Sci. Measurement Technol. 145 (1998) 279-84.
    • H. Kantz and T Schreiber, THE HUMAN ECG-NONLINEAR DETERMINISTIC VERSUS STOCHASTIC ASPECTS. IEE Proc. Sci. Measurement Technol. 145 (1998) 279-84.
  • 39
    • 0345602879 scopus 로고    scopus 로고
    • H. Korn and P. Faure, IS THERE CHAOS IN THE BRAIN? II. EXPERIMENTAL EVIDENCE AND RELATED MODELS. C. R. Biologies 326 (2003) 787-840.
    • H. Korn and P. Faure, IS THERE CHAOS IN THE BRAIN? II. EXPERIMENTAL EVIDENCE AND RELATED MODELS. C. R. Biologies 326 (2003) 787-840.
  • 40
    • 0035592869 scopus 로고    scopus 로고
    • DYNAMICAL MODEL OF B-T CELL REGULATION. International
    • K. E. Kürten and F. Castiglione, DYNAMICAL MODEL OF B-T CELL REGULATION. International Journal of Modern Physics C 12 (2001) 367-75.
    • (2001) Journal of Modern Physics C , vol.12 , pp. 367-375
    • Kürten, K.E.1    Castiglione, F.2
  • 41
    • 0033532569 scopus 로고    scopus 로고
    • J. C. Leloup and A. Goldbeter, CHAOS AND BIRHYTHMICITY IN A MODEL FOR CIRCADIAN OSCILLATIONS OF THE PER AND TIM PROTEINS IN DROSOPHILA. J. Theor. Biol. 198 (1999) 445-59.
    • J. C. Leloup and A. Goldbeter, CHAOS AND BIRHYTHMICITY IN A MODEL FOR CIRCADIAN OSCILLATIONS OF THE PER AND TIM PROTEINS IN DROSOPHILA. J. Theor. Biol. 198 (1999) 445-59.
  • 42
    • 0035353082 scopus 로고    scopus 로고
    • CIRCADIAN CHRONOTHERAPY FOR HUMAN. Lancet
    • F. Levi, CIRCADIAN CHRONOTHERAPY FOR HUMAN. Lancet Oncol. 2 (2001) 307-15.
    • (2001) Oncol , vol.2 , pp. 307-315
    • Levi, F.1
  • 43
    • 0346992326 scopus 로고    scopus 로고
    • F. Lopes da Silva, W. Blanes, S. N. Kalintzin, J. Parra, P. Suffczynski and D. N. Velis, EPILEPSIES AS DYNAMICAL DISEASES OF BRAIN SYSTEMS: BASIC MODELS OF THE TRANSITION BETWEEN NORMAL AND EPILEPTIC ACTIVITY. Epilepsia 44 (2003) 78-83.
    • F. Lopes da Silva, W. Blanes, S. N. Kalintzin, J. Parra, P. Suffczynski and D. N. Velis, EPILEPSIES AS DYNAMICAL DISEASES OF BRAIN SYSTEMS: BASIC MODELS OF THE TRANSITION BETWEEN NORMAL AND EPILEPTIC ACTIVITY. Epilepsia 44 (2003) 78-83.
  • 44
    • 0017714604 scopus 로고    scopus 로고
    • M. C. Mackey and I. Glass, OSCILLATIONS AND CHAOS IN PHYSIOLOGICAL CONTROL SYSTEMS. Science 197 (1977) 287-9.
    • M. C. Mackey and I. Glass, OSCILLATIONS AND CHAOS IN PHYSIOLOGICAL CONTROL SYSTEMS. Science 197 (1977) 287-9.
  • 46
    • 0024956064 scopus 로고    scopus 로고
    • J. G. Milton and M. C. Mackey, PERIODIC HAEMATOLOGICAL DISEASES: MYSTICAL ENTITIES OR DYNAMICAL DISORDERS?. Journal of Royal College of Physicians of London 23 (1989) 236-41.
    • J. G. Milton and M. C. Mackey, PERIODIC HAEMATOLOGICAL DISEASES: MYSTICAL ENTITIES OR DYNAMICAL DISORDERS?. Journal of Royal College of Physicians of London 23 (1989) 236-41.
  • 47
    • 0037217052 scopus 로고    scopus 로고
    • M. C. Mormont and F. Levi, CANCER CHRONOTHERAPY: PRINCIPLES, APPLICATIONS, AND PERSPECTIVES. Cancer 97 (2002) 155-69.
    • M. C. Mormont and F. Levi, CANCER CHRONOTHERAPY: PRINCIPLES, APPLICATIONS, AND PERSPECTIVES. Cancer 97 (2002) 155-69.
  • 48
    • 0037217052 scopus 로고    scopus 로고
    • M. C. Mormont and F. Levi, CANCER CHRONOTHERAPY: PRINCIPLES, APPLICATIONS AND PERSPECTIVES. Cancer 97 (2003) 155-69.
    • M. C. Mormont and F. Levi, CANCER CHRONOTHERAPY: PRINCIPLES, APPLICATIONS AND PERSPECTIVES. Cancer 97 (2003) 155-69.
  • 49
    • 0041528328 scopus 로고    scopus 로고
    • G. V. Osipov, B. Hu, C. Zhou, M. V. Ivanchenko and J. Kurths, THREE TYPES OF TRANSITIONS TO PHASE SYNCHRONIZATION IN COUPLED CHAOTIC OSCILLATORS. Phys. Rev. Lett. 91 (2003) 024101.
    • G. V. Osipov, B. Hu, C. Zhou, M. V. Ivanchenko and J. Kurths, THREE TYPES OF TRANSITIONS TO PHASE SYNCHRONIZATION IN COUPLED CHAOTIC OSCILLATORS. Phys. Rev. Lett. 91 (2003) 024101.
  • 50
    • 23244441271 scopus 로고    scopus 로고
    • M. G. Pedersen, R Bertram and A. Sherman, INTRA- AND INTER-ISLET SYNCHRONIZATION OF METABOLICALLY DRIVEN INSULIN SECRETION. Biophysical Journal 89 (2005) 107-19.
    • M. G. Pedersen, R Bertram and A. Sherman, INTRA- AND INTER-ISLET SYNCHRONIZATION OF METABOLICALLY DRIVEN INSULIN SECRETION. Biophysical Journal 89 (2005) 107-19.
  • 51
    • 0030823340 scopus 로고    scopus 로고
    • C. S. Poon and C. K. Merrill, DECREASE OF CARDIAC CHAOS IN CONGESTIVE HEART FAILURE. Nature 389 (1997) 492-95.
    • C. S. Poon and C. K. Merrill, DECREASE OF CARDIAC CHAOS IN CONGESTIVE HEART FAILURE. Nature 389 (1997) 492-95.
  • 52
    • 0017341992 scopus 로고    scopus 로고
    • O. E. Rössler, CHAOS IN ABSTRACT KINETICS: TWO PROTOTYPES. Bull. Math. Biol. 39 (1977) 275-89.
    • O. E. Rössler, CHAOS IN ABSTRACT KINETICS: TWO PROTOTYPES. Bull. Math. Biol. 39 (1977) 275-89.
  • 53
    • 0032931046 scopus 로고    scopus 로고
    • M. Small, K. Judd, M. Lowe and S. Stick, IS BREATHING IN INFANTS CHAOTIC? DIMENSION ESTIMATES FOR RESPIRATORY PATTERNS DURING QUIET SLEEP. J. Appl. Physiol. 86 (1999) 359-76.
    • M. Small, K. Judd, M. Lowe and S. Stick, IS BREATHING IN INFANTS CHAOTIC? DIMENSION ESTIMATES FOR RESPIRATORY PATTERNS DURING QUIET SLEEP. J. Appl. Physiol. 86 (1999) 359-76.
  • 54
    • 0033826176 scopus 로고    scopus 로고
    • C. M. Spengler and S. A. Shea, ENDOGENOUS CIRCADIAN RHYTHM OF PULMONARY FUNCTION IN HEALTHY HUMANS. Am. J. Respir. Crit. Care Med. 162 (2000) 1038-46.
    • C. M. Spengler and S. A. Shea, ENDOGENOUS CIRCADIAN RHYTHM OF PULMONARY FUNCTION IN HEALTHY HUMANS. Am. J. Respir. Crit. Care Med. 162 (2000) 1038-46.
  • 55
    • 8744271007 scopus 로고    scopus 로고
    • ANALYSIS OF IMMUNOTHERAPY MODELS IN THE CONTEXT OF CANCER DYNAMICS. Int
    • Z. Szymańska, ANALYSIS OF IMMUNOTHERAPY MODELS IN THE CONTEXT OF CANCER DYNAMICS. Int. J. Appl. Math. Comput. Sci. 13 (2003) 407-18.
    • (2003) J. Appl. Math. Comput. Sci , vol.13 , pp. 407-418
    • Szymańska, Z.1
  • 56
    • 0034699781 scopus 로고    scopus 로고
    • B. Topp, K. Promislow, G. deVries, R. M. Miura and D. T. Finegood, A MODEL OF BETACELL MASS INSULIN AND GLUCOSE KINETICS: PATHWAYS TO DIABETES. J. Theor. Biol. 206 (2000) 605-19.
    • B. Topp, K. Promislow, G. deVries, R. M. Miura and D. T. Finegood, A MODEL OF BETACELL MASS INSULIN AND GLUCOSE KINETICS: PATHWAYS TO DIABETES. J. Theor. Biol. 206 (2000) 605-19.
  • 57
    • 34547271042 scopus 로고    scopus 로고
    • M. V. Voitikova, STRANGE ATTRACTORS IN IMMUNOLOGY OF TUMOR GROWTH. arXiv:chaodyn/9708015 v1 21 Aug 1997
    • M. V. Voitikova, STRANGE ATTRACTORS IN IMMUNOLOGY OF TUMOR GROWTH. arXiv:chaodyn/9708015 v1 21 Aug 1997
  • 58
    • 0037358170 scopus 로고    scopus 로고
    • K. Warren R. C. Hawkins and J. C. Sprott, SUBSTANCE ABUSE AS A DYNAMICAL SYSTEM: EVIDENCE AND CLINICAL IMPLICATIONS OF NONLINEARITY IN TIME SERIES OF DAILY ALCOHOL. Addictive Behaviors 28 (2003) 369-74.
    • K. Warren R. C. Hawkins and J. C. Sprott, SUBSTANCE ABUSE AS A DYNAMICAL SYSTEM: EVIDENCE AND CLINICAL IMPLICATIONS OF NONLINEARITY IN TIME SERIES OF DAILY ALCOHOL. Addictive Behaviors 28 (2003) 369-74.
  • 59
    • 5544265578 scopus 로고    scopus 로고
    • K. D. Willianovski and O. E. Rössler, IRREGULAR OSCILLATIONS IN A REALISTIC ABSTRACT QUADRATIC MASS ACTION SYSTEM. Z. Naturforsch A 35 (1980) 317-8.
    • K. D. Willianovski and O. E. Rössler, IRREGULAR OSCILLATIONS IN A REALISTIC ABSTRACT QUADRATIC MASS ACTION SYSTEM. Z. Naturforsch A 35 (1980) 317-8.
  • 60
    • 63349099983 scopus 로고    scopus 로고
    • R. M. Yulmetyev, S. A. Demin and P. Hänggi, Manifestations of chaos in real complex systems: case of Parkinson's disease In THE LOGISTIC MAP AND THE ROUTE TO CHAOS, edited by M. Ausloos and M. Dirickx, Springer-Verlag, Berlin, 2005, pp. 175-196.
    • R. M. Yulmetyev, S. A. Demin and P. Hänggi, "Manifestations of chaos in real complex systems: case of Parkinson's disease" In THE LOGISTIC MAP AND THE ROUTE TO CHAOS, edited by M. Ausloos and M. Dirickx, Springer-Verlag, Berlin, 2005, pp. 175-196.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.