The bulletin of mathematical biophysics

, Volume 22, Issue 3, pp 257-262

First online:

Further contributions to the mathematical biophysics of automobile driving

  • N. RashevskyAffiliated withCommittee on Mathematical Biology, The University of Chicago

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.