Theory of cell age distribution in suspension culture with feed and/or drain

DOI10.1016/0025-5564(89)90043-6zbMath0681.92017OpenAlexW2018550123WikidataQ52425098 ScholiaQ52425098MaRDI QIDQ1823893

Akio Yamada, Hiroumi Funakoshi

Publication date: 1989

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(89)90043-6

zbMATH Keywords

number density functionMcKendrick-von Foerster equationcell numbercell volumegrowth of cellscell massage-structured cell populationsbinary fissiondrainequation of mass balanceequation of substrate balancefeedsuspension culturetime-dependent generation time

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Time-dependent solution to age-structured equations for sexual populations
• Dynamics of a continuous culture with catalysis of the growth-limiting substrate by an enzyme of the cells
• Density dependent cellular growth in an age structured colony
• Non-linear age-dependent population growth
• Transition phenomena in bacterial growth between logarithmic and stationary phases
• On the growth of populations with narrow spread in reproductive age. I. General theory and examples
• On a mixed problem for the M‘Kendrick-Von Foerster equation
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