Hexokinase

The enzyme hexokinase phosphorylates (adds a phosphate group to) glucose in the cell's cytoplasm. In the process, a phosphate group from Adenosine triphosphate (ATP) is transferred to glucose producing glucose 6-phosphate (Glc6P).

Chemical equation

$Glucose_{in} + ATP \rightleftharpoons Glc6P + ADP$

Rate equation

Without inhibition

Random Bi-Bi Michaelis Menten is used.

$v = \frac{\frac{V_{mf}}{Km_{Glucose_{in}}K_{ATP}}\Big( [Glucose_{in}][ATP] - \frac{[Glc6P][ADP]}{K_{eq}} \Big)}{1 + \frac{[Glucose_{in}]}{Km_{Glucose_{in}}} + \frac{[ATP]}{K_{ATP}} + \frac{[Glucose_{in}][ATP]}{Km_{Glucose_{in}}K_{ATP}} + \frac{[Glc6P]}{K_{Glc6P}} + \frac{[ADP]}{K_{ADP}} +\frac{[Glc6P][ADP]}{K_{Glc6P}K_{ADP}} + \frac{[Glucose_{in}][ADP]}{K_{Glucose_{in}}K_{ADP}} +\frac{[Glc6P][ATP]}{K_{Glc6P}K_{ATP}} }$

With allosteric inhibition

Failed to parse (syntax error): \frac{V_{mf}* \frac{[Glucose]*[ATP]}{Km_{Glucose}*Km_{ATP}} }{\left(1 + \frac{[Glc6P]}{Ki_{Glc6P}} right)*\left( 1 + \frac{[Glucose]}{Km_{Glucose}} \right) +\frac{[ATP]}{Km_{ATP}} + \frac{[Glucose]*[ATP]}{Km_{Glucose}}*Km_{ATP} }

Parameters

Parameter	Value	Organism	Remarks
$V_{mf}$	0.46	HeLa cell line	Vm in U × (mg total cellular protein) at $37^{\circ}$C
$K_{eq}$	1
$K_{Glucose_{in}}$	9.3
$K_{Glucose_{out}}$	10