Optimal allocation between nutrient uptake and growth in a microbial trichome

Journal of Mathematical Biology

Volumn 37, Issue 1, 1998, Pages 28-48

  Van Den Berg, Hugo A ^a   Kiselev, Yuri N ^b   Kooijman, S A L M ^a   Orlov, Michael V ^b  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Droop quota model; Microbial growth; Optimal allocation; Pontryagin's maximum principle; Singular control

Indexed keywords

EID: 0005062332     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050118     Document Type: Article

References (9)

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3. Droop, M. R.: 25 years of algal growth kinetics - a personal view. Bot. Mar. 24, 99-112 (1983)
4. Kooijman, S. A. L. M.: Dynamic Energy Budgets in Biological Systems. Cambridge University Press (1993)
5. Lange, K., Oyarzun, F. J.: The attractiveness of the Droop equations. Math. Biosc. 111, 261-278 (1992)
6. Mason, C. A., Hamer, G., Bryers, J. D.: The death and lysis of microorganisms in environmental processes. FEMS Microbiology Reviews 39, 373-401 (1986)
7. Pontryagin, L. S.: Ordinary Differential Equations. Interscicnce, New York (1962)
8. Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., Mishchenko, E. F.: The Mathematical Theory of Optimal Processes. Interscience, New York (1962)
9. Schlegel, H. G.: General Microbiology. Cambridge, sixth edition (1986). translated by Margot Kogut