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Analyzing the Michaelis-Menten Kinetics Model

Analyzing the Michaelis-Menten Kinetics Model. G. Goins, Dept. of Biology N.C . A&T State University. Advisors: Dr. M. Chen, Dept. of Mathematics Dr. G. Goins, Dept. of Biology. Sponsored by Grant No. 634598. http://blend.ncat.edu. Biological Background.

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Analyzing the Michaelis-Menten Kinetics Model

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  1. Analyzing the Michaelis-MentenKinetics Model G. Goins, Dept. of Biology N.C. A&T State University Advisors: Dr. M. Chen, Dept. of Mathematics Dr. G. Goins, Dept. of Biology Sponsored by Grant No. 634598 http://blend.ncat.edu

  2. Biological Background Spontaneous chemical reactions that take place in living things often occur very slowly without a catalyst called an enzyme The enzyme binds to molecules known as the substrate, and converts substrate to product, Unbound enzyme repeats cycle

  3. Michaelis-Menten Mechanism The model represents how an enzyme acts on a substrate. E is the enzyme, S is the substrate, ES is the enzyme-substrate complex and P is the product. Substrate Products Active site Enzyme-substrate complex Enzyme Enzyme Recycle k-1

  4. What is the Michaelis-Menten Equation Commonly used in biology, the Michaelis-Menten equation describes the reaction time to convert (binding and conversion) substrate to product

  5. Michaelis-Menten kinetics V0 varies with [S] Vmax approached asymptotically V0 is moles of product formed per sec. when [P] is low (close to zero time) E + SESE + P Michaelis-Menten Model V0 = Vmax x[S]/([S] + Km) Michaelis-Menten Equation

  6. Michaelis-Menten system of ODEs The four differential equations that are used in the model are

  7. What is Michaelis-Menton good for? • Application: Any process involving an Enzyme (E) that converts a resource material (substrate, S) into another form product (P) • Biochemist use the shape of the curve to determine the binding specificity of an enzyme for a substrate • Km is called the Michaelis Constant, if small, then steeper curve and more specific binding

  8. Determining initial velocity (when [P] is low) Ignore the back reaction

  9. Steady-state & pre-steady-state conditions At pre-steady-state, [P] is low (close to zero time), hence, V0 for initial reaction velocity At equilibrium, no net change of [S] & [P] or of [ES] & [E] At pre-steady state, we can ignore the back reactions

  10. Molecular biology, proteomics and systems biology approaches • Molecular biology studies traditionally focused on 1 or a few proteins with a highly mechanistic levels of detail • Proteomics seeks to catalogue many proteins • Systems biology seeks a mechanistic understanding of phenomena that involve many proteins systems biology molecular biology proteomics Albeck et al.Nature Reviews Molecular Cell Biology7, 803–812 (November 2006)

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