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Cell/Organism Count (Logistic Growth)

Last modified by
on
Jun 30, 2023, 4:41:58 PM
Created by
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Apr 23, 2014, 5:35:38 PM
`x = x_0 / x_oo (1 -e^(kt))`
`(k)"Logistic Growth Rate Constant"`
`(x_0)"Initial Concentration"`
`(x_oo)"Carrying Capacity"`
`(t)"Growth Time"`
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5bf6dcf6-4455-11e3-a47b-bc764e049c3d

The Cell/Organism Count (Logistic Growth) calculator computes the number of cells/organisms undergoing exponential growth as a population.

 INSTRUCTIONS: Choose units and enter the following:

  • (x0) Initial Concentration
  • (xoo) Carrying Capacity
  • (k) Logistic Growth Rate Constant
  • (t) Time

Organism Growth (X):  The calculator return the number of cells/organisms. 

 

The Math / Science

The Cell/Organism Count (Logistic Growth) equation computes the number of cells/organisms undergoing exponential growth as a population.

     `x = x_0 / x_oo  (1 -e^(kt))`

Inputs are:

  • x = organisms
  • x0 = initial concentration (g/l)
  • xoo = carrying capacity (g/l)
  • k = logistic growth rate constant (1/hours)
  • t = time (hours)


Growth Calculators

Simple Stats Calc

For the most simple statistics calculator on the Internet, use vCalc's Simple Stats Calc.   The Simple Stats Calc lets you enter comma separated numbers: 

  • (x): 3,4,5,1,-17,45,67,89,7,4,4,-26

The Simple Stats Calc gives you all of these calculated results:

  • Number (n): 12 
  • Minimum Value (Min): -26.0 
  • Mean: 15.5 
  • Median: 4.0 
  • Mid-Point: 31.5 
  • Mode: 4.0 
  • Maximum Value (Max): 89.0 
  • Numeric Range: 115.0 
  • Population Variance: 1054.0833 
  • Population Standard Deviation: 32.4666 
  • Sample Variance: 1149.9091
  • Sample Standard Deviation: 33.9103 
  • Mean Absolute Deviation (MAD): 25.75 
  • Sum (Σx): 186.0 
  • Sum Squared (Σx)²: 34596.0 
  • Sum of Squares Σ(x²): 15532.0 
  • Observations: 3,4,5,1,-17,45,67,89,7,4,4,-26 
  • Sorted up: -26.0,-17.0,1.0,3.0,4.0,4.0,4.0,5.0,7.0,45.0,67.0,89.0 
  • Sorted down: 89.0,67.0,45.0,7.0,5.0,4.0,4.0,4.0,3.0,1.0,-17.0,-26.0 

This equation, Cell/Organism Count (Logistic Growth), references 1 page
This equation, Cell/Organism Count (Logistic Growth), is used in 1 page
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