enzymatic rate law for reversible specific activation enzymatic rate law for irreversible specific activation <n0:math xmlns:n0="http://www.w3.org/1998/Math/MathML"> <n2:semantics xmlns:n2="http://biomodels.net/SBO/" definitionURL="http://biomodels.net/SBO/#SBO:0000062"> <n2:lambda> <n2:bvar> <n2:ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">substrate</n2:ci> </n2:bvar> <n2:bvar> <n2:ci definitionURL="http://biomodels.net/SBO/#SBO:0000524">Activator</n2:ci> </n2:bvar> <n2:bvar> <n2:ci definitionURL="http://biomodels.net/SBO/#SBO:0000322">Kms</n2:ci> </n2:bvar> <n2:bvar> <n2:ci definitionURL="http://biomodels.net/SBO/#SBO:0000324">V</n2:ci> </n2:bvar> <n2:bvar> <n2:ci definitionURL="http://biomodels.net/SBO/#SBO:0000363">Ka</n2:ci> </n2:bvar> <n2:apply> <n2:divide /> <n2:apply> <n2:times /> <n2:ci> V </n2:ci> <n2:ci> substrate </n2:ci> <n2:ci> Activator </n2:ci> </n2:apply> <n2:apply> <n2:plus /> <n2:apply> <n2:times /> <n2:ci> Kms </n2:ci> <n2:ci> Ka </n2:ci> </n2:apply> <n2:apply> <n2:times /> <n2:apply> <n2:plus /> <n2:ci> Kms </n2:ci> <n2:ci> substrate </n2:ci> </n2:apply> <n2:ci> Activator </n2:ci> </n2:apply> </n2:apply> </n2:apply> </n2:lambda> </n2:semantics> </n0:math> Enzymatic rate law for one substrate, one product and one modifier which acts as an activator. The activator enhances the rate of reaction by decreasing the apparent Michaelis constant. The activator must bind to the enzyme before the enzyme can bind the substrate.