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1

Harmand, Jérôme, Claude Lobry, Alain Rapaport, and Tewfik Sari. The Chemostat. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2017. http://dx.doi.org/10.1002/9781119437215.

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2

M, Kantere V., and Navashin S. M, eds. Optimizat͡sii͡a periodicheskikh prot͡sessov mikrobiologicheskogo sinteza. Moskva: "Nauka", 1985.

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3

Ajbar, Abdelhamid. Dynamics of the chemostat: A bifurcation theory approach. Boca Raton, FL: CRC Press/Chapman & Hall, 2012.

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4

(Khalid), Alhumaizi K., ed. Dynamics of the chemostat: A bifurcation theory approach. Boca Raton, FL: CRC Press/Chapman & Hall, 2012.

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5

Smith, Hal L. The theory of the chemostat: Dynamics of microbial competition. Cambridge: Cambridge University Press, 1995.

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6

E, Waltman Paul, ed. The theory of the chemostat: Dynamics of microbial competition. Cambridge: Cambridge University Press, 1995.

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7

Hendzel, L. L. A dual-chamber chemostat for the study of algal interactions. Winnipeg, Man: Central and Arctic Region, Dept. of Fisheries and Oceans, 1986.

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8

T, Wimpenny J. W., ed. CRC handbook of laboratory model systems for microbial ecosystems. Boca Raton, Fla: CRC Press, 1988.

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9

Rao, Vadrevu Sree Hari. Dynamic models and control of biological systems. Dordrecht: Springer, 2009.

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10

Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Chemostat: Mathematical Theory of Microorganism Cultures. Wiley & Sons, Incorporated, John, 2017.

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11

Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Chemostat: Mathematical Theory of Microorganism Cultures. Wiley & Sons, Incorporated, John, 2017.

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12

Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Chemostat: Mathematical Theory of Microorganism Cultures. Wiley & Sons, Incorporated, John, 2017.

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13

Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Chemostat: Mathematical Theory of Microorganism Cultures. Wiley & Sons, Incorporated, John, 2017.

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14

Waltman, Paul, and Hal L. Smith. Theory of the Chemostat: Dynamics of Microbial Competition. Cambridge University Press, 2008.

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15

Alhumaizi, Khalid, and Abdelhamid Ajbar. Dynamics of the Chemostat: A Bifurcation Theory Approach. Taylor & Francis Group, 2017.

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16

Waltman, Paul, and Hal L. Smith. Theory of the Chemostat: Dynamics of Microbial Competition. Cambridge University Press, 2011.

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17

Alhumaizi, Khalid, and Abdelhamid Ajbar. Dynamics of the Chemostat: A Bifurcation Theory Approach. Taylor & Francis Group, 2011.

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18

Alhumaizi, Khalid, and Abdelhamid Ajbar. Dynamics of the Chemostat: A Bifurcation Theory Approach. Taylor & Francis Group, 2011.

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19

Alhumaizi, Khalid, and Abdelhamid Ajbar. Dynamics of the Chemostat: A Bifurcation Theory Approach. Taylor & Francis Group, 2011.

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20

HARMAND. Chemostat: Mathematique de la Culture Continue de Mirco-Organismes. ISTE Editions Ltd., 2017.

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21

Norbert, Walz, ed. Plankton regulation dynamics: Experiments and models in Rotifer continuous cultures. Berlin: Springer-Verlag, 1993.

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22

Lobry, Claude, Jérôme Harmand, Alain Rapaport, and Tewfik Sari. Spatialized Models of Chemostats. Wiley & Sons, Incorporated, John, 2019.

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23

Walz, Norbert. Plankton Regulation Dynamics: Experiments and Models in Rotifer Continuous Cultures. Springer London, Limited, 2012.

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24

Walz, Norbert. Plankton Regulation Dynamics: Experiments and Models in Rotifer Continuous Cultures. Springer London, Limited, 2012.

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25

Dynamic Models and Control of Biological Systems. Springer, 2009.

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26

Rao, Vadrevu Sree Hari, and Ponnada Raja Sekhara Rao. Dynamic Models and Control of Biological Systems. Springer, 2014.

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27

Lemmon, Teresa L. Development of chemostats and use of redox indicators for studying redox transformations in biogeochemical matrices. 1995.

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28

bhl, yasso. This Year I Will Notebook: Notebook,student, College, Physics, University, Materials Science, Journal, Year, Maths, Chemostry , 115 Pages,6 X 9. Independently Published, 2021.

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29

Kirchman, David L. Microbial growth, biomass production, and controls. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789406.003.0008.

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Soon after the discovery that bacteria are abundant in natural environments, the question arose as to whether or not they were active. Although the plate count method suggested that they were dormant if not dead, other methods indicated that a large fraction of bacteria and fungi are active, as discussed in this chapter. It goes on to discuss fundamental equations for exponential growth and logistic growth, and it describes phases of growth in batch cultures, continuous cultures, and chemostats. In contrast with measuring growth in laboratory cultures, it is difficult to measure in natural environments for complex communities with co-occurring mortality. Among many methods that have been suggested over the years, the most common one for bacteria is the leucine approach, while for fungi it is the acetate-in ergosterol method. These methods indicate that the growth rate of the bulk community is on the order of days for bacteria in their natural environment. It is faster in aquatic habitats than in soils, and bacteria grow faster than fungi in soils. But bulk rates for bacteria appear to be slower than those for phytoplankton. All of these rates for natural communities are much slower than rates measured for most microbes in the laboratory. Rates in subsurface environments hundreds of meters from light-driven primary production and high organic carbon conditions are even lower. Rates vary greatly among microbial taxa, according to data on 16S rRNA. Copiotrophic bacteria grow much faster than oligotrophic bacteria, but may have low growth rates when conditions turn unfavorable. Some of the factors limiting heterotrophic bacteria and fungi include temperature and inorganic nutrients, but the supply of organic compounds is perhaps most important in most environments.
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