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Table 1 List of state variables

From: Modelling wood formation and structure: power and limits of a morphogenetic gradient in controlling xylem cell proliferation and growth

Symbol

Unit

Description

x

μm

Space coordinate

t

s

Time coordinate

\(\dot {\epsilon }_{i}(t)\)

s−1

Growth rate of cell i

C(x,t)

Unitless

Concentration profile (only for a diffusive signal)

C i (t)

Unitless

Average concentration of signal in cell i

λ

μm

Characteristic length of an exponential profile, i.e. the extent of the profile

L(t)

μm

Total length of the cell file

L i (t)

μm

Size of cell i

N(t)

Unitless

Total number of cells in the file

n C (t)

Unitless

Number of cells in the cambial zone

n E (t)

Unitless

Number of cells in the enlargement zone

n T,M (t)

Unitless

Number of cells in the wall thickening and mature zones