When enzyme concentration increases then Vmax will also increased and if Vmax increases

on changing enzyme conc or substrate but mam when enzyme concentration increases then Vmax will also increased and if Vmax increases then vmax/2 is also increased and if we Vmax/2 increase then km should also be increased

It seems there might be a little confusion in your statement. Let’s clarify how changes in enzyme concentration and substrate concentration affect enzyme kinetics, specifically the Michaelis-Menten equation.

  1. Effect of Changing Enzyme Concentration:
  • When you increase the enzyme concentration (E), it often leads to an increase in the maximum reaction rate (Vmax). This is because there are more enzyme molecules available to catalyze the reaction, so more substrate molecules can be converted to products per unit of time.
  • However, the Michaelis constant (Km), which represents the substrate concentration at which the reaction rate is half of Vmax, generally remains constant when you change the enzyme concentration.
  1. Effect of Changing Substrate Concentration:
  • When you increase the substrate concentration ([S]), the reaction rate initially increases linearly with [S].
  • As [S] becomes much larger than Km, the reaction rate approaches Vmax. In other words, the enzyme becomes saturated with substrate, and increasing [S] further doesn’t significantly change the reaction rate.
  • Km remains constant regardless of changes in substrate concentration.

So, to summarize:

  • Increasing enzyme concentration increases Vmax, but Km generally remains constant.
  • Increasing substrate concentration increases the initial reaction rate, but Km remains constant, and Vmax is approached asymptotically.

The relationship between Km, Vmax, and enzyme concentration or substrate concentration is not as straightforward as suggesting that if one increases, the others should increase as well. Km is considered a constant for a given enzyme-substrate pair at a specific temperature and pH, reflecting the affinity of the enzyme for its substrate. Vmax, on the other hand, can change with enzyme concentration but not necessarily with substrate concentration, as it represents the maximum rate achievable when the enzyme is fully saturated with substrate.