Application of Gröbner bases theory to derive rate equations for enzyme catalysed reactions with two or more substrates or products

  • Authors:
  • Necmettin Yildirim;Nurullah Ankaralioglu;Derya Yildrim;Fatih Akcay

  • Affiliations:
  • Atatürk Üniv., Bilgisayar Bil. Uyg. ve Ars. Merkezi, 25240, Erzurum, Turkey;Atatürk Üniv., Fen Edebiyat Fak. Matematik Bölümü, 25240, Erzurum, Turkey;Atatürk Üniv., Tip Fak. Farmakoloji Bölümü, 25240, Erzurum, Turkey;Atatürk Üniv., Tip Fak. Biyokimya Bölümü, 25240, Erzurum, Turkey

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2003

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Abstract

Derivation of rate equations for complex enzymatic reactions is a tedious task because of requirements of manipulation with massive algebraic expressions. This paper describes a general methodology on how to derive rate equations using Gröbner Bases Theory in Biochemical Kinetics via MAPLE. This method is valid for deriving rate laws for any enzymatic reactions regardless of the enzyme-containing species which are involved.