The bulletin of mathematical biophysics

, Volume 22, Issue 3, pp 257–262

Further contributions to the mathematical biophysics of automobile driving

  • N. Rashevsky


The discussions of a previous paper (Bull. Math. Biophysics,21, 299–308, 1959) are generalized by considering that the angular direction error made by the driver, as well as the driver's reaction time are not constant but are randomly distributed. Instead of a critical speed, at which the car will jump off the road, we now find that for every speed there is a probability of the car to jump off the road but that this probability is vanishingly small for sufficiently low speeds, yet increases rapidly for high speeds. Thus a more realistic picture of the process of driving is obtained. When the standard deviation of the distribution functions for the angle and the reaction time are very small, the expression obtained here reduces to the expression obtained previously.


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  1. Jahnke, E. and Emde, F. 1928.Funktionentafeln mit Formeln und Kurven. Leipzig: Teubner.Google Scholar
  2. Rashevsky, N. 1959. “Some Remarks on the Mathematical Aspects of Automobile Driving.”Bull. Math. Biophysics,21, 299–308.MathSciNetGoogle Scholar

Copyright information

© University of Chicago 1960

Authors and Affiliations

  • N. Rashevsky
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicago

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