# Arnold G. Fredrickson, Ph.D - Publications

## Affiliations: | Chemical Engineering and Materials Science | University of Minnesota, Twin Cities, Minneapolis, MN |

##### Area:

Biochemical Engineering, Microbial Population##### Website:

https://www.cems.umn.edu/about/people/faculty.id20136.htmlYear | Citation | Score | |||
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2003 | Fredrickson AG. Population balance equations for cell and microbial cultures revisited Aiche Journal. 49: 1050-1059. DOI: 10.1002/aic.690490422 |
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2002 | Fredrickson AG, Mantzaris NV. A new set of population balance equations for microbial and cell cultures Chemical Engineering Science. 57: 2265-2278. DOI: 10.1016/S0009-2509(02)00116-1 |
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2000 | Fredrickson AG. Formulation of structured growth models Biotechnology and Bioengineering. 67: 720-725. PMID 10699853 DOI: 10.1002/(SICI)1097-0290(20000320)67:6<720::AID-BIT10>3.0.CO;2-I |
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1999 | Mantzaris NV, Daoutidis P, Srienc F, Fredrickson AG. Growth processes in a cascade of bioreactors: Comparison of modeling approaches Aiche Journal. 45: 177-189. |
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1999 | Mantzaris NV, Daoutidis P, Srienc F, Fredrickson AG. Growth processes in a cascade of bioreactors: Mathematical models Aiche Journal. 45: 164-176. |
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1998 | Liou JJ, Fredrickson AG, Srienc F. Selective synchronization of Tetrahymena pyriformis cell populations and cell growth kinetics during the cell cycle Biotechnology Progress. 14: 450-456. PMID 9622526 DOI: 10.1021/bp980019u |
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1997 | Liou JJ, Srienc F, Fredrickson AG. Solutions of population balance models based on a successive generations approach Chemical Engineering Science. 52: 1529-1540. DOI: 10.1016/S0009-2509(96)00510-6 |
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1997 | Hatzis C, Fredrickson AG, Srienc F. Cell-cycle analysis in phagotrophic microorganisms from flow cytometric histograms Journal of Theoretical Biology. 186: 131-144. DOI: 10.1006/jtbi.1996.0348 |
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1995 | Hatzis C, Srienc F, Fredrickson AG. Multistaged corpuscular models of microbial growth: Monte Carlo simulations Biosystems. 36: 19-35. PMID 8527693 DOI: 10.1016/0303-2647(95)01524-O |
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1994 | Hatzis C, Srienc F, Fredrickson AG. Feeding heterogeneity in ciliate populations: Effects of culture age and nutritional state Biotechnology and Bioengineering. 43: 371-380. |
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1994 | Sweeney PJ, Srienc F, Fredrickson AG. Measurement of unequal DNA partitioning in Tetrahymena pyriformis using slit-scanning flow cytometry Biotechnology Progress. 10: 19-25. |
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1993 | Hatzis C, Sweeney PJ, Srienc F, Fredrickson AG. Determination of cellular rate distributions in microbial cell populations: Feeding rates of ciliated protozoa Biotechnology and Bioengineering. 42: 284-294. |
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1992 | Fredrickson AG, Hatzis C, Srienc F. A statistical analysis of flow cytometric determinations of phagocytosis rates Cytometry. 13: 423-431. PMID 1526200 DOI: 10.1002/cyto.990130413 |
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1992 | Fredrickson AG. Growth processes in bioreactors with external sources of biomass. Application of structured, continuum models Aiche Journal. 38: 835-846. |
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1991 | Fredrickson AG. Segregated, structured, distributed models and their role in microbial ecology: A case study based on work done on the filter-feeding ciliate Tetrahymena pyriformis Microbial Ecology. 22: 139-159. DOI: 10.1007/BF02540220 |
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1990 | Hatzis C, Sweeney PJ, Srienc F, Fredrickson AG. A discrete, stochastic model for microbial filter feeding: a model for feeding of ciliated protists on spatially uniform, nondepletable suspensions Mathematical Biosciences. 102: 127-181. PMID 2134491 DOI: 10.1016/0025-5564(90)90060-C |
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1990 | Lavin DP, Fredrickson AG, Srienc F. Flow cytometric measurement of rates of particle uptake from dilute suspensions by a ciliated protozoan Cytometry. 11: 875-882. PMID 2125553 |
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1990 | Lavin DP, Hatzis C, Srienc F, Fredrickson AG. Size effects on the uptake of particles by populations of Tetrahymena pyriformis cells Journal of Protozoology. 37: 157-163. |
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1989 | Fredrickson AG, Gavalas G, Ray WH, Varma A. Chemical engineering Chemical Engineering Science. 44: 1751-1752. |
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1989 | Pavlou S, Fredrickson AG. Growth of microbial populations in nonminimal media: some considerations for modeling Biotechnology and Bioengineering. 34: 971-989. |
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1989 | Sambanis A, Fredrickson AG. Effect of addition of wall growth to a model of ciliate-bacterial interactions Biotechnology and Bioengineering. 34: 875-881. |
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1988 | Sambanis A, Fredrickson AG. Peristance of bacteria in the presence of viable, nonencysting, bacterivorous ciliates Microbial Ecology. 16: 197-211. DOI: 10.1007/BF02018914 |
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1988 | Baltzis BC, Fredrickson AG. LIMITATION OF GROWTH RATE BY TWO COMPLEMENTARY NUTRIENTS: SOME ELEMENTARY BUT NEGLECTED CONSIDERATIONS. Biotechnology and Bioengineering. 31: 75-86. |
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1987 | Srienc F, Fredrickson AG, Lavin DP. FEEDING, GROWTH, AND REPRODUCTION OF CILIATE MICROORGANISMS AN ENGINEERING VIEW. Annals of the New York Academy of Sciences. 506: 357-370. PMID 3124691 |
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1987 | Sambanis A, Pavlou S, Fredrickson AG. Coexistence of bacteria and feeding ciliates: Growth of bacteria on autochthonous substrates as a stabilizing factor for coexistence Biotechnology and Bioengineering. 29: 714-728. |
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1987 | Sambanis A, Fredrickson AG. Long-term studies of ciliate-bacterial interactions: Use of a chemostat fed with bacteria grown in a separate chemostat Journal of General Microbiology. 133: 1619-1630. |
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1986 | Sambanis A, Pavlou S, Fredrickson AG. Analysis of the dynamics of ciliate-bacterial interactions in a CSTR Chemical Engineering Science. 41: 1455-1469. DOI: 10.1016/0009-2509(86)85231-9 |
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1986 | Fredrickson AG. Reference states and balance equations for relative thermodynamic properties Chemical Engineering Science. 41: 2449. |
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1985 | Fredrickson AG. Reference states and balance equations for relative thermodynamic properties, including availability Chemical Engineering Science. 40: 2095-2104. DOI: 10.1016/0009-2509(85)87027-5 |
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1984 | Baltzis BC, Fredrickson AG. Coexistence of two microbial populations competing for a renewable resource in a non-predator-prey system Bulletin of Mathematical Biology. 46: 155-174. DOI: 10.1007/BF02463728 |
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1984 | Baltzis BC, Fredrickson AG. Competition of two suspension-feeding protozoan populations for a growing bacterial population in continuous culture Microbial Ecology. 10: 61-68. DOI: 10.1007/BF02011595 |
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1983 | Baltzis BC, Fredrickson AG. Competition of two microbial populations for a single resource in a chemostat when one of them exhibits wall attachment Biotechnology and Bioengineering. 25: 2419-2439. |
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1983 | Pavlou S, Fredrickson AG. Effects of the inability of suspension-feeding protozoa to collect all cell sizes of a bacterial population Biotechnology and Bioengineering. 25: 1747-1772. |
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1982 | Swift ST, Najita IY, Ohtaguchi K, Fredrickson AG. Some physiological aspects of the autecology of the suspension-feeding protozoan Tetrahymena pyriformis Microbial Ecology. 8: 201-215. DOI: 10.1007/BF02011425 |
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1982 | Swift ST, Najita I, Ohtaguchi K, Fredrickson AG. Continuous culture of the ciliate Tetrahymena pyriformis on Escherichia coli Biotechnology and Bioengineering. 24: 1953-1964. |
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1981 | Fredrickson AG, Stephanopoulos G. Microbial competition Science. 213: 972-979. PMID 7268409 |
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1981 | Watson PJ, Ohtaguchi K, Fredrickson AG. Kinetics of growth of the ciliate Tetrahymena pyriformis on Escherichia coli Journal of General Microbiology. 122: 323-333. PMID 6798162 |
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1981 | Stephanopoulos G, Fredrickson AG. Extinction probabilities in microbial predation: A birth and death approach Bulletin of Mathematical Biology. 43: 165-181. DOI: 10.1007/BF02459441 |
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1979 | Stephanopoulos G, Aris R, Fredrickson AG. A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor Mathematical Biosciences. 45: 99-135. DOI: 10.1016/0025-5564(79)90098-1 |
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1979 | Stephanopoulos G, Fredrickson AG. Coexistence of photosynthetic microorganisms with growth rates depending on the spectral quality of light Bulletin of Mathematical Biology. 41: 525-542. DOI: 10.1007/BF02458328 |
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1979 | Bonomi A, Fredrickson AG. Use of Conventional Control to Optimize Fermentation Processes Involving Mixed Populations. Revista Brasileira De Tecnologia. 10: 321-340. |
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1979 | Bonomi A, Fredrickson AG. Optimization of the Fermentation Process by Dividing the Feed of Fresh Substrate Between Two Fermentors. Revista Brasileira De Tecnologia. 10: 315-319. |
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1979 | Stephanopoulos G, Fredrickson AG, Aris R. GROWTH OF COMPETING MICROBIAL POPULATIONS IN A CSTR WITH PERIODICALLY VARYING INPUTS. Aiche Journal. 25: 863-872. |
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1978 | De Freitas MJ, Fredrickson AG. Inhibition as a factor in the maintenance of the diversity of microbial ecosystems Journal of General Microbiology. 106: 307-320. |
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1977 | Fredrickson AG. Behavior of mixed cultures of microorganisms. Annual Review of Microbiology. 31: 63-87. PMID 334047 |
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1976 | Bonomi A, Fredrickson AG. Protozoan feeding and bacterial wall growth Biotechnology and Bioengineering. 18: 239-252. PMID 1267931 |
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1976 | Fredrickson AG. Formulation of structured growth models. Biotechnology and Bioengineering. 18: 1481-6. PMID 963283 DOI: 10.1002/bit.260181016 |
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1976 | Lee IH, Fredrickson AG, Tsuchiya HM. Damped oscillations in continuous culture of Lactobacillus plantarum Journal of General Microbiology. 93: 204-208. PMID 932674 |
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1976 | Lee IH, Fredrickson AG, Tsuchiya HM. Dynamics of mized cultures of Lactobacillus plantarum and Propionibacterium shermanii Biotechnology and Bioengineering. 18: 513-526. PMID 773448 |
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1975 | Hsu PH, Fredrickson AG. Population-changing processes and the dynamics of sexual populations Mathematical Biosciences. 26: 55-78. DOI: 10.1016/0025-5564(75)90094-2 |
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1975 | Meyer JS, Tsuchiya HM, Fredrickson AG. Dynamics of mixed populations having complementary metabolism Biotechnology and Bioengineering. 17: 1065-1081. |
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1974 | Lee IH, Fredrickson AG, Tsuchiya HM. Diauxic growth of Propionibacterium shermanii Journal of Applied Microbiology. 28: 831-835. PMID 4441064 |
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1973 | Fredrickson AG, Jost JL, Tsuchiya HM, Hsu Ph. Predator-prey interactions between Malthusian populations Journal of Theoretical Biology. 38: 487-526. PMID 4692353 DOI: 10.1016/0022-5193(73)90253-1 |
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1973 | Jost JL, Drake JF, Fredrickson AG, Tsuchiya HM. Interactions of Tetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and glucose in a minimal medium. Journal of Bacteriology. 113: 834-840. PMID 4632323 |
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1973 | Jost JL, Drake JF, Tsuchiya HM, Fredrickson AG. Microbial food chains and food webs Journal of Theoretical Biology. 41: 461-484. PMID 4202222 DOI: 10.1016/0022-5193(73)90056-8 |
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1973 | Yun CK, Fredrickson AG. INDUCED VISCOSITY CHANGES IN A POLARIZABLE LIQUID. Physics of Fluids. 16: 1-8. DOI: 10.1063/1.1626682 |
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1973 | Yun CK, Fredrickson AG. POLARIZATION OF LIQUIDS. Mol Cryst Liq Cryst. 24: 69-88. |
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1972 | Megee 3rd. R.D. RD, Drake JF, Fredrickson AG, Tsuchiya HM. Studies in intermicrobial symbiosis. Saccharomyces cerevisiae and Lactobacillus casei. Canadian Journal of Microbiology. 18: 1733-1742. PMID 4628673 |
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1972 | Tsuchiya HM, Drake JF, Jost JL, Fredrickson AG. Predator-prey interactions of Dictyostelium discoideum and Escherichia coli in continuous culture. Journal of Bacteriology. 110: 1147-1153. PMID 4555407 |
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1972 | Standing CN, Fredrickson AG, Tsuchiya HM. Batch- and continuous-culture transients for two substrate systems. Applied Microbiology. 23: 354-359. PMID 4552891 |
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1972 | Yun CK, Fredrickson AG. Anisotropie transport processes in highly polarizable fluids. I. Nondeforming media The Journal of Chemical Physics. 57: 4327-4332. |
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1971 | Yun CK, Picot JJC, Fredrickson AG. Thermal conduction near an interface in a nematic liquid crystal subjected to a magnetic field Journal of Applied Physics. 42: 4764-4767. DOI: 10.1063/1.1659852 |
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1971 | Fredrickson AG. A mathematical theory of age structure in sexual populations: random mating and monogamous marriage models Mathematical Biosciences. 10: 117-143. DOI: 10.1016/0025-5564(71)90054-X |
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1970 | Subramanian G, Ramkrishna D, Fredrickson AG, Tsuchiya HM. On the mass distribution model for microbial cell populations The Bulletin of Mathematical Biophysics. 32: 521-537. PMID 5513392 DOI: 10.1007/BF02476769 |
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1970 | Megee RD, Kinoshita S, Fredrickson AG, Tsuchiya HM. Differentiation and product formation in molds. Biotechnology and Bioengineering. 12: 771-801. PMID 5489783 |
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1970 | Schoon DJ, Drake JF, Fredrickson AG, Tsuchiya HM. Automated counting of microbial colonies. Applied Microbiology. 20: 815-820. PMID 4922850 |
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1970 | Fredrickson AG, Megee RD, Tsuchiya HM. Mathematical Models for Fermentation Processes Advances in Applied Microbiology. 13: 419-465. DOI: 10.1016/S0065-2164(08)70413-1 |
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1969 | Picot JJC, Fredrickson AG. Interfacial and electrical effects on thermal conductivity of nematic liquid crystals [5] Industrial and Engineering Chemistry Fundamentals. 8: 176. |
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1968 | Ramkrishna D, Fredrickson AG, Tsuchiya HM. On relationships between various distribution functions in balanced unicellular growth The Bulletin of Mathematical Biophysics. 30: 319-323. DOI: 10.1007/BF02476699 |
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1967 | Howell JA, Tsuchiya HM, Fredrickson AG. Continuous synchronous culture of photosynthetic micro-organisms Nature. 214: 582-584. DOI: 10.1038/214582a0 |
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1967 | Fredrickson AG, Ramkrishna D, Tsuchiya HM. Statistics and dynamics of procaryotic cell populations Mathematical Biosciences. 1: 327-374. |
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1966 | Swanson CH, Aris R, Fredrickson AG, Tsuchiya HM. Bacterial growth as an optimal process. Journal of Theoretical Biology. 12: 228-50. PMID 5972193 |
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1966 | Tsuchiya HM, Fredrickson AG, Aris R. Dynamics of Microbial Cell Populations Advances in Chemical Engineering. 6: 125-206. DOI: 10.1016/S0065-2377(08)60275-6 |
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1966 | Fredrickson AG. Stochastic triangular reactions Chemical Engineering Science. 21: 687-691. |
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1965 | Kapoor NN, Kalb JW, Brumm EA, Fredrickson AG. Stress-relaxing solids: Recoil phenomena Industrial and Engineering Chemistry Fundamentals. 4: 186-194. |
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1964 | Miller RL, Fredrickson AG, Brown AH, Tsuchiya HM. Hydromechanical method to increase efficiency of algal photosynthesis Iandec Process Design and Development. 3: 134-143. |
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1963 | Bauer WG, Fredrickson AG, Tsuchiya HM. Mass transfer characteristics of a venturi liquid-gas contactor Iandec Process Design and Development. 2: 178-187. |
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1962 | Fredrickson AG. On stress-relaxing solids-I. Flow and normal stress effects Chemical Engineering Science. 17: 155-166. |
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