Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Huh
Lv 6
Huh asked in Science & MathematicsMathematics · 2 years ago

How do you integrate this Michaelis Menten equation: -d[S] / dt = {V* [S]} / {K + S}?

This is the Michealis-Menten Equation. Integration of it is useful for when the substrate concentration [S] is directly measurable like by Nuclear Magnetic Resonance, but estimating the rate of substrate consumption introduces some error.

-d[S] / dt = {V* [S]} / {K + [S]}

[S] = substrate concentration

V = maximum velocity

K = Michaelis constant

dt respects time.

Follows from: E + S ⇌ ES ---> E + P

1 Answer

Relevance
  • Anonymous
    2 years ago
    Favorite Answer

    -dy/dt = V*y/(K + y);

    (K + y)/y dy = -V dt;

    ln|y| + y = C - V*t;

Still have questions? Get your answers by asking now.