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DuckieDai Michaelis-Menten Enzyme Kinetics

Solve the Michaelis-Menten initial-rate equation for v0, Vmax, Km, substrate concentration, or fraction of Vmax.

Version 1.0.0 · Not calculator tested

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chemistry · MIT License

Overview

Solve the Michaelis-Menten initial-rate equation for v0, Vmax, Km, substrate concentration, or fraction of Vmax.

Usage

Inputs

  • Initial rate and Vmax in matching rate units
  • Substrate concentration and Km in matching concentration units
  • Target percent strictly between 0 and 100

Outputs

  • Requested kinetic quantity, fractional Vmax, or substrate-to-Km ratio

Units: v0 and Vmax share a rate unit; [S] and Km share a concentration unit.

Assumptions and limitations

Assumptions

  • Initial-rate, steady-state, single-substrate Michaelis-Menten behavior applies.
  • Substrate is in excess and effects such as inhibition, cooperativity, and product buildup are negligible.

Constraints

  • Km and Vmax are positive; substrate is nonnegative; inverse modes require v0 greater than 0 and less than Vmax; target percent is between 0 and 100.

Known failures

  • At v0 = Vmax, the required substrate tends to infinity.
  • Cooperative, inhibited, multi-substrate, or transport-limited kinetics require another model.

Compatibility and review

Review status
Not calculator tested
Tested on
The owner reports personally testing the supplied archive programs on a calculator; exact model, OS, and Python App versions were not recorded
What happened
Owner reported interactive testing is disclosed, but the published bytes are not labeled independently calculator tested because the environment is unrecorded and Arrhenius received a narrow intake correction
Dependencies
No imports
Suggested calculator name
MMEQ — you can give it another valid, unique name when you transfer it
Desktop test cases
Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

Browser preview

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Simulation boundary: This preview uses a reviewed browser adapter. It does not execute the downloaded Python and does not prove TI-Python or calculator compatibility.

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Exact reviewed bytes

Source code

Download .py

View source below, copy it when JavaScript is available, or download the exact .py bytes.

  1. def intro(n):
  2. print("+----------------------+");print("| "+n+" |");print("| ___(o )> quack! |");print("| by DuckieDai |");print("+----------------------+");input("ENTER to start: ")
  3. def num(s):
  4. while 1:
  5. try:return float(input(s))
  6. except:print("Enter a number")
  7. def pos(s):
  8. while 1:
  9. x=num(s)
  10. if x>0:return x
  11. print("Must be positive")
  12. def pick(s,m):
  13. while 1:
  14. try:
  15. x=int(input(s))
  16. if x>0 and x<=m:return x
  17. except:pass
  18. print("Invalid choice")
  19. intro("MICHAELIS-MENTEN")
  20. print("1 v0 2 Vmax 3 Km");print("4 S 5 %Vmax 6 target S")
  21. c=pick("Choose 1-6: ",6)
  22. if c==1:
  23. m=pos("Vmax: ");s=num("[S]: ");k=pos("Km: ");v=m*s/(k+s)
  24. print("v0 =",v)
  25. elif c==2:
  26. v=pos("v0: ");s=pos("[S]: ");k=pos("Km: ");print("Vmax =",v*(k+s)/s)
  27. elif c==3:
  28. v=pos("v0: ");m=pos("Vmax: ");s=pos("[S]: ")
  29. if v>=m:print("v0 must be below Vmax")
  30. else:print("Km =",s*(m-v)/v)
  31. elif c==4:
  32. v=pos("v0: ");m=pos("Vmax: ");k=pos("Km: ")
  33. if v>=m:print("v0 must be below Vmax")
  34. else:print("[S] =",v*k/(m-v))
  35. elif c==5:
  36. s=num("[S]: ");k=pos("Km: ");print("% Vmax =",100*s/(k+s))
  37. else:
  38. p=pos("Target %: ")/100;k=pos("Km: ")
  39. if p>=1:print("Target must be below 100%")
  40. else:print("[S] =",p*k/(1-p))
  41. input("ENTER for guide: ");print("S=Km gives 50% Vmax");print("DuckieDai: done!");input("ENTER to exit: ")
Filename
mmEQ.py
Size
1304 bytes
SHA-256
255b2e7054ff4e3f565c6925219b7db306d26e13354dbdb749392f6c8dcc437e

Transfer and launch

  1. Confirm that your calculator is the Python-capable model named above. This release has no verified calculator OS or Python App version; treat transfer and execution as unverified until independently tested.
  2. Download the .py source above and verify its SHA-256 digest if your computer provides that option.
  3. Use TI Connect CE to send the Python file to a compatible calculator. MMEQ is a suggested name; you may choose another valid, unique calculator name.
  4. Open the Python App, select the program, and check sample inputs before relying on other results.

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Version history

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