Continuous cultures of phytoplankton

Ballantyne F IV, Menge DNL, Weitz JA (2010) A discrepancy between predictions of saturating nutrient uptake models and nitrogen–phosphorus stoichiometry in the surface ocean. Limnol Oceanogr 55:997–1008

Bayraktavoglu E, Legovic T, Velasquez ZR, Cruzado A (2003) Diatom Thalassiosira weissflogii in oligotrophic versus eutrophic culture models and ultrastructure. Ecol Model 170:237–243

Blottière Rossi M, Madricardo F, Hulot FD (2014) Modeling the role of wind and warming on Microcystis aeruginosa blooms in shallow lakes with different trophic status. Theor Ecol 7:35–52

Chen Bingshan, Hongbin Liu (2010) Relationships between growth and cell size in surface oceans: interactive effects of temperature, nutrients and grazing. Limnol Oceanogr 2010(55):965–972

Denbigh KG (1951) The thermodynamics of the steady state. Methuen, London

Droop MR (1968) Vitamin B12 and marine ecology IV The kinetics of uptake, growth and inhibition by Monochrysis lutheri. J Marine Biol Assoc UK 48:689–733

Gaines AF, Copeland GM, Coban-Yildiz Y, Ozsoy E, Davie AM, Konovalov SK (2006) The contrasting oceanography of the Rhodes Gyre and the central Black Sea. Turkish J Eng Env Sci 30:69–81

Geider RJ, MacIntyre HL, Kana TM (1996) A dynamic model of photoadaptation in phytoplankton. Limnol Oceanogr 41:1–15

Holtgrieve GW, Schindler DE, Branch TA, Amor ZT (2010) Simultaneous quantification of aquatic ecosystem metabolism and re-aeration using a Bayesian statistical model of oxygen dynamics. Limnol Oceanogr 55:1047–1063

Katchalsky A, Curran PT (1965) Non-equilibrium thermodynamics in biophysics. Harvard University Press, USA

Levich AP (2000) Variational modelling theorems and algocenoses functioning principles. Ecol Model 131:207–227

May RM, Leonard WJ (1975) Non-linear aspects of competition between three species. SIAM J Appl Math 29:243–253

Martines IP, Kojouharov HV, Grover JP (2009) A chemostat model of resource competition and allelopathy. Appl Math Comp 215:573–582

Mindl B, Sonntag B, Pernthaler J, Vrba J, Psenner R, Posch T (2005) Effect of phosphorus loading on interactions of algae and bacteria : reinvestigation of the ‘phytoplankton bacteria paradox’ in a continuous cultivation system. Aqua Micro Ecol 38:203–213

Mutshinda CM, Finkel ZV, Irwin AJ (2013) Which environmental factors control phytoplankton populations? A Bayesian variable selection approach. Ecol Model 269:1–8

Okay OS, Gaines A (1996) Toxicity of 2,4-D to phytoplankton. Water Res 30:686–696

Okay OS, Morkoc E, Gaines A (1994) Effects of two herbicidal waste waters on Chlorella sp. and Phaeodactylum tricornutum. Env Poll 84:1–6

Okay OS, Gaines A, Davie AM (2003) The growth of continuous cultures of the phytoplankton Phaeodactylum tricornutum. Turkish J Eng Env Sci 27:145–155

Okay OS, Gibson M, Gaines A, Davie AM (2005) Introduction to competition between continuous cultures of Phaeodactylum tricornutum and Dunaliella tertiolecta. J Env Sci Health A 40:2117–2134

Record NR, Pershing AJ, Maps F (2014) The paradox of the “paradox of phytoplankton”. ICES J Marine Sci 71:236–240

Reynolds CS, Irish AE, Elliott JA (2001) The ecological basis for simulating phytoplankton response to environmental change (PROTECH). Ecol Model 140:271–291

Ruiz-Gonzalez C, Lefort T, Massara R, Simo R, Gasol JM (2010) Diel changes in bulk and single-cell bacterial heterotrophic activity in winter surface waters of the north western Mediterranean Sea. Limnol Oceanogr 57:29–42

Shatwell T, Koehler J, Nicklisch A (2013) Temperature and photoperiod interactions with silicon-limited growth and competition of two diatoms. J Plankton Res 35:957–971

Stramski D, Sciandra A, Claustre H (2002) Effects of temperature, nitrogen and light limitation on the optical properties of the marine diatom Thalassiosira pseudonana. Limnol Oceanogr 47:392–403

Van den Driessche P, Zeeman ML (1998) Three-dimensional competitive Lotka–Volterra systems with non-periodic orbits. SIAM J Appl Math 58:227–234

Vano JA, Wildenburg JC, Anderson ME, Noel JK, Sprott JC (2006) Chaos in low- dimensional Lotka–Volterra models of competition. Nonlinearity 19:2391–2404

Zeeman ML (1993) Hopf bifurcations in competitive threedimensional systems. Dynam Stabil Syst 8:189–217