Freitas, A. CristinaMalcata, F. Xavier2011-10-212011-10-211993FREITAS, A. Cristina ; MALCATA, F. Xavier - Michaelis-menten kinetics: explicit dependence of substrate concentration on reaction time. International Journal of Mathematical Education in Science and Technology. ISSN 0020-739X. 24:4 (1993) 527 - 539http://hdl.handle.net/10400.14/6700The nonlinear dependence of the rate expressions associated with enzymecatalysed reactions on the concentration of substrate implies that the corresponding integrated form of the substrate mass balance in a batch reactor cannot be expressed as an explicit function of time..This paper addresses this problem for the classical case of Michaelis—Menten kinetics by providing a self-pacing exploration of the characteristics of a Taylor expansion of the substrate concentration on time. The accuracy of such an approximation is discussed. The procedure presented is appropriate to model situations of technological and practical interest.engjournal article79958721865