×

The Danziger-Elmergreen theory of periodic catatonic schizophrenia. (English) Zbl 0253.92002


MSC:

92B05 General biology and biomathematics
34A99 General theory for ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Andronow, A. A. and C. E. Chaikin. 1949.Theory of Oscillations, English Language Edition, Lefschetz, S., ed. Princeton: Princeton University Press. · Zbl 0032.36501
[2] Cesari, L. 1959.Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, 2nd ed. Berlin: Springer-Verlag. · Zbl 0082.07602
[3] Coddington, E. A. and N. Levinson. 1955.Theory of Ordinary Differential Equations. New York: McGraw-Hill. · Zbl 0064.33002
[4] Cronin, J. 1967. ”Recurrent Solutions of Some Autonomous Equations.”J. Diff. Eqns,3, 595–600. · Zbl 0162.39601 · doi:10.1016/0022-0396(67)90019-8
[5] Danziger, L. 1958. ”Thyroid Therapy of Schizophrenia.”Dis. Nervous System,19, 2–7.
[6] – and G. L. Elmergreen. 1954. ”Mathematical Theory of Periodic Relapsing Catatonia.”Bull. Math. Biophysics,16, 15–21. · doi:10.1007/BF02481809
[7] – and –. 1954. ”The Thyroid-Pituitary Homeostatic Mechanisms.” –Ibid.,18, 1–13. · doi:10.1007/BF02477840
[8] – and –. 1957. ”Mathematical Models of Endocrine Systems.” –Ibid.,19, 9–18. · doi:10.1007/BF02668288
[9] – and –. 1958. ”Mechanism of Periodic Catatonia.”Confinia Neurologica,18, 159–166. · doi:10.1159/000105050
[10] – and J. A. Kindwall. 1953. ”Thyroid Therapy in Some Mental Disorders.”Dis. Nervous System,14, 3–13.
[11] Danziger, L. and J. A. Kindwall. ”Treatment of Periodic Relapsing Catatonia.”Ibid., Dis. Nervous System,15, 35–43.
[12] Freedman, A. M., H. I. Kaplan and H. S. Kaplan (eds.). 1967.Comprehensive Textbook of Psychiatry. Baltimore: Williams & Wilkins.
[13] Gjessing, R. 1932. ”Beitrage zur Kenntnis der Pathophysiologie des Katatonen Stupors.”Arch. Psychiat.,96, 319–393. · doi:10.1007/BF02064336
[14] – 1935. ”Beitrage zur Kenntnis der Pathophysiologie der Katatonen Erregung.” –Ibid.,,104, 355–416. · doi:10.1007/BF01814233
[15] – 1938. ”Disturbances of Somatic Function in Catatonia With a Periodic Course and Their Compensation.”J. Ment. Sci.,84, 608–621.
[16] – 1939. ”Beitrage zur Kenntnis der Pathophysiologie Periodisch Katoner Zustande.”Arch. Psychiat.,109, 525–595. · doi:10.1007/BF02157548
[17] –. ”Beitrage zur Somatologie der Periodischen Katatonie.”–Ibid.,121, 191–326.
[18] Lefschetz, S. 1961. ”The Critical Case in Differential Equations.”Bol. Soc. Mat. Mex.,1, 5–18. · Zbl 0101.30401
[19] – 1962.Differential Equations: Geometric Theory, 2nd ed. New York: Interscience.
[20] Marden, M. 1949.The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. III, Providence: American Mathematical Society. · Zbl 0038.15303
[21] Minorsky, N. 1962.Nonlinear Oscillations. Princeton: Van Nostrand. · Zbl 0102.30402
[22] Nemytskii, V. V. and V. V. Stepanov. 1960.Qualitative Theory of Differential Equations. Princeton: Princeton University Press. · Zbl 0089.29502
[23] Rashevsky, N.Some Medical Aspects of Mathematical Biology. Springfield: C. C. Thomas. · Zbl 0007.38207
[24] Richter, C. P. 1965.Biological Clocks in Medicine and Psychiatry Springfield: C. C. Thomas.
[25] Riggs, D. S. 1970.Control Theory and Physiological Feedback Mechanisms. Baltimore: Williams & Wilkins.
[26] Zubov, V. I. 1957.Methods of A. M. Lyapunov and Their Application (in Russian). (Translated by the United States Atomic Energy Commission, AEC-tr-4439). Moscow.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.