Part of PP-03 — Plant Growth & Development

Formula Sheet: Mathematical Growth Models

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Growth Formulas — Complete Reference

1. Arithmetic Growth

Formula: Lt = L0L_{0} + rt

SymbolMeaningUnits
LtLength/size at time tmm, g, etc.
L0L_{0}Initial length/sizemm, g, etc.
rArithmetic growth rate (constant)mm/day, g/day
tTimedays

Characteristic: Linear graph (straight line). One daughter cell continues dividing, one differentiates.

Example: A root elongates by 2mm every day.

  • Day 0: L0L_{0} = 5mm
  • Day 3: L3L_{3} = 5 + (2)(3) = 11mm

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