id: 05776637
dt: j
an: 2010e.00699
au: Biaglow, Andrew; Erickson, Keith; McMurran, Shawnee
ti: Enzyme kinetics and the Michaelis-Menten equation.
so: PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 20, No. 2, Special
    Issue: Application activities to enhance learning in the
    mathematics-biology interface, 148-168 (2010).
py: 2010
pu: Taylor \& Francis, Philadelphia, PA
la: EN
cc: M65 I75
ut: difference equations; elementary differential equations; Euler’s method;
    linearization; parameter estimation; enzyme catalysis; Michaelis-Menten
    kinetics; mass balance; law of mass action; conservation of mass;
    biology; mathematical applications
ci: 
li: doi:10.1080/10511970903486491
ab: Summary: The concepts presented in this article represent the cornerstone
    of classical mathematical biology. The central problem of the article
    relates to enzyme kinetics, which is a biochemical system. However, the
    theoretical underpinnings that lead to the formation of systems of
    time-dependent ordinary differential equations have been applied widely
    to any biological system that involves modeling of populations. In this
    project, students first learn about the general balance equation, which
    is a statement of conservation within a system. They then learn how to
    simplify the balance equation for several specific cases involving
    chemically reacting systems. Derivations are reinforced with a concrete
    experiment in which enzyme kinetics are illustrated with pennies. While
    a working knowledge of differential equations and numerical techniques
    is helpful as a prerequisite for this set of activities, all of the
    requisite mathematical skills are introduced in the project, so the
    methods would also serve as an introduction to these techniques. It is
    also helpful if students have some basic understanding of chemical
    concepts such as concentration and reaction rate, as typically covered
    in high school or college freshman chemistry courses.
rv: