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Mathematical modelling of the morphology of streptomyces species

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Relation Between Morphology and Process Performances

Part of the book series: Advances in Biochemical Engineering/Biotechnology ((ABE,volume 60))

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Abbreviations

ai :

coefficient of the lumped pellet model

A:

area

ci :

concentration of substance i

cHy :

hyphal concentration

cTip :

concentration of tips

D:

diffusion coefficient

f:

number density function

F:

total number of particles per volume

g:

concentration based on cell's volume

HGU:

hyphal growth unit

k:

rate constant

li :

coordinate of i-th section, i=1,2,3

lo :

length of a hypha associated with one nucleotide, or length of a spore

Li :

length of i-th section

M:

number of substrates

N:

number of tips

P:

density of the breaking probability

q:

specific volumetric flow

Q:

volumetric flow

r:

reaction rate

rHy,Tip :

synthesis rate of hyphae, tips

rHyD,TipD :

degradation rate of hyphae, tips

rHyB, TipB :

breakage rate of hyphae, tips

s:

characteristic property

t:

time

u:

growth rate along a characteristic property

V:

volume

Y:

yield coefficient

z:

spatial coordinate

Zr:

radius of a pellet

α:

apical growth velocity

β:

branching rate

γ:

constant

α:

constant

μ:

specific rate

ϖ:

source or sink

ψHy :

activity of branching

ψTip :

activity of apical growth

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Authors and Affiliations

  1. Institut für Prozeß- und Anlagentechnik, Fachgebiet Meß- und Regelungstechnik, Technische Universität Berlin, Budapester Str. 48, 10787, Berlin, Germany

    Rudibert King

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  1. Rudibert King
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© 1998 Springer-Verlag

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King, R. (1998). Mathematical modelling of the morphology of streptomyces species. In: Schügerl, K. (eds) Relation Between Morphology and Process Performances. Advances in Biochemical Engineering/Biotechnology, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102280

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  • DOI: https://doi.org/10.1007/BFb0102280

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  • Print ISBN: 978-3-540-62567-4

  • Online ISBN: 978-3-540-68082-6

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