TY - JOUR
T1 - Michaëlis–menten kinetics
T2 - explicit dependence of substrate concentration on reaction time
AU - Freitas, A. Cristina
AU - Malcata, F. Xavier
PY - 1993/7
Y1 - 1993/7
N2 - The 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.
AB - The 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.
UR - http://www.scopus.com/inward/record.url?scp=79958721865&partnerID=8YFLogxK
U2 - 10.1080/0020739930240404
DO - 10.1080/0020739930240404
M3 - Article
AN - SCOPUS:79958721865
SN - 0020-739X
VL - 24
SP - 527
EP - 539
JO - International Journal of Mathematical Education in Science and Technology
JF - International Journal of Mathematical Education in Science and Technology
IS - 4
ER -
