Abstract
The effect of the compressibility and the viscosity of the medium on the resonance of biological cells is discussed mathematically. The resonant frequency is only slightly altered, but the motion is highly damped.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature
Ackerman, E. 1951. “Resonance of Biological Cells.”Bull. Math. Biophysics,13, 93–106.
— 1952a. “Resonant Effects of Mammalian Erythrocytes in Ultrasonic Fields.”Jour. Ac. Soc. Am.,24, 118 (A).
— 1952b. “Cellular Resonances and Fragilities.”Jour. Cell. Comp. Physiol.,39, 167–90.
Carstensen, E. L., K. Li, and H. P. Schwan. 1953. “Determination of Acoustic Properties of Blood and Its Components.”Jour. Ac. Soc. Am.,25, 286–89.
Heilbrunn, L. V. 1952.An Outline of General Physiology, pp. 77–88. Philadelphia: W. B. Saunders Co.
Morse, P. M. 1948.Vibrations and Sound, pp. 316–18. New York: McGraw-Hill Book Company.
Page, L. 1935.Theoretical Physics, p. 257. New York: D. Van Nostrand Company.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ackerman, E. An extension of the theory of resonances of biological cells: I. Effects of viscosity and compressibility. Bulletin of Mathematical Biophysics 16, 141–150 (1954). https://doi.org/10.1007/BF02478369
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02478369