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Table 6 List of model parameters and ranges of possible values

From: Multitype Bellman-Harris branching model provides biological predictors of early stages of adult hippocampal neurogenesis

Parameter

Range of possible values

Minimum number of ANP divisions, m i n ANP

1,2,3

Maximum number of ANP divisions, m a x ANP

2,...,8

Renewal probability of ANP, p ANP

{0,0.1,...,0.99,1}

Distribution coefficients of ANP G 1-phase duration, \(T_{G_{1}-ANP}\)

6,...,20hr; {2,...,16}; {2,...,5}h r

Distribution coefficients of ANP S-phase duration, T S−A N P

{5,...,12}h r; {5,...,40}; {1,...,4}h r

Distribution coefficients of ANP G 2 M-phase duration, \(T_{G_{2}M-ANP}\)

{1,...,4}h r; {5,...,20}; {0,...,0.75}h r

Distribution coefficients of ANP-NB stage duration1, T A N P−N B

{4,...,64}h r; {2,...,16}; {0,...,3}h r

Distribution coefficients of ANP-Apop stage duration2, T A N P−A p o p

{4,...,64}h r; {2,...,16}; {0,...,3}h r

Distribution coefficients of NB duration, T NB

{120,...,430}h r; {2,...,16}; {10,...,80}h r

Distribution coefficients of Apoptotic cell duration, T Apop

{0.4,...,3}h r; {2,...,16}; {0,...,0.3}h r

Cell death rate of ANP G 1-phase, \(d_{G_{1}}\)

{0,0.1,...,0.98,0.99}

Cell death rate of ANP S-phase, d S

{0,0.1,...,0.98,0.99}

Cell death rate of ANP G 2 M-phase, \(d_{G_{2}M}\)

{0,0.1,...,0.98,0.99}

Cell death rate of non-proliferating ANP, d ANP

{0,0.1,...,0.98,0.99}

Cell death rate of NB, d NB

{0,0.1,...,0.98,0.99}

Minimum number of NSC divisions, m i n QNP

{1,2,3}

Maximum number of NSC divisions, m a x QNP

{2,...,6}

Renewal probability of NSC, p QNP

{0,0.1,...,0.99,1}

Distribution coefficients of NSC G 1-phase duration, \(T_{G_{1}-QNP}\)

{8,...,36}h r; {2,...,16}; {2,...,5}h r

Distribution coefficients of NSC S-phase duration, T S−Q N P

{5,...,12}h r; {5,...,40}; {1,...,4}h r

Distribution coefficients of NSC G 2 M-phase duration, \(T_{G_{2}M-QNP}\)

{1,...,4}h r; {5,...,20}; {0,...,0.75}h r

  1. 1If a non-proliferative ANP is determined to differentiate to a NB, it enters ANP-NB stage,
  2. 2otherwise it enters ANP-Apop stage before undergoing apoptosis. Since the cell duration (transit time) is modeled by a shifted gamma distribution the duration distribution parameter for any cell type i, T i , consists of 3 coefficients that are expected duration, shape parameter of the gamma distribution and the minimum duration (shift value). A range of values for each of these three coefficients has been provided
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BMC Systems Biology

ISSN: 1752-0509

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