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Table 1 Comparison of models

From: The ups and downs of biological timers

 

Linear Modela

Non Linear Modela,b

 

Accumulation

Decay

Non Linear Decay d

Model

   n = 2, 3, 4...

Solution

P = Pmax (1 - e-αt)

P = Pmax e-αt

   T0

Unperturbed delay time

   T1

Perturbedc delay time

> η-1T0  (η < 1)

<η-1T0  (η > 1)

Delay time sensitivity

≥ |η-1 - 1|

  1. a P max
  2. b T0, T1 and δt are presented for n = 2
  3. c Peturbation: v0 → ηv0
  4.        
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Theoretical Biology and Medical Modelling

ISSN: 1742-4682