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Biophysical Journal 1: 581-587 (1961)
© 1961 the Biophysical Society

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A Property of Second Order Differential Equations with Application to Formal Kinetics

John Z. Hearon

ABSTRACT

It is shown that if x(t) is the solution of a second order differential equation, with real negative characteristic roots (not necessarily distinct), which exhibits an extremum at t = T, then T|x(T)|/|A| [UNK] 1/e where A is the area under the x(t) curve. This result is compared to a special case previously derived by M. Morales and applications of the theorem to formal kinetic problems are discussed.






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Copyright © 1961 by the Biophysical Society.