Publications  (1996-2009) (Publications upto 1995 are here)

Biochemical and Metabolic Engineering: Cybernetic Modeling

Song, Hyun-Seob, J A. Morgan and D. Ramkrishna, “Systematic Development of Hybrid Cybernetic Models: Application to Recombinant Yeast Co-consuming Glucose and Xylose,” Biotechnol & Bioeng., submitted

Song, Hyun-Seob and Doraiswami Ramkrishna, “Reduction of a Set of Elementary Modes by Yield Vector Analysis,” Biotechnol & Bioeng., 102, 554-568, 2009.

Ramkrishna, D. and Hyun-Seob Song, “On a Rationale for Monod’s Biochemical Growth Kinetics,” Ind. Eng.Chem. (Varma issue),47, 9090-9098, 2008.

Kim, Jin Il, J. D. Varner, and D. Ramkrishna, “A Hybrid Cybernetic Model of Anaerobic E. coli GJT001: Combination of Elementary Flux Modes and Cybernetic Models,” Biotech. Prog., 24, 993-1006, 2008.

Young, J. D., K. L. Henne, J. A, Morgan, A. E. Konopka and D. Ramkrishna, “Integrating Cybernetic Modeling with Pathway Analysis. A Dynamic Systems Level Description of Metabolic Control,” Biotechnol & Bioeng., 100, 542-559, 2008.

Sherer, E., A. E. Rundell, and R. E. Hannemann and D. Ramkrishna, “Determination of Age-Dependent Cell Cycle Transition Rates,” Biotechnol & Bioeng., 99, 960-974, 2008.

Young, J. D. and D. Ramkrishna, “On the Matching & Proportional Laws of Cybernetic Models,” Biotech.Progress, 23, 83-99, 2007.

Namjoshi, A. and D. Ramkrishna, “A Cybernetic Modeling Framework for Analysis of Metabolic Systems,” Computers and Chemical Engineering, 29, 487-498, 2005.

Young, J., Henne, K., Morgan, J., Konopka, A. E., and D. Ramkrishna, “Rational Design of Recombinant Organisms by the Cybernetic Modeling Approach,” Chem.Eng.Sci., 59, 5041-5049, 2004.

Namjoshi, A., Kienle, A., & Ramkrishna, D. “Steady-state multiplicity in bioreactors: bifurcation analysis of cybernetic models,” Chem .Eng. Sc., 58, 793-800, 2003.

Namjoshi, A., Wei-Shou Hu and Doraiswami Ramkrishna, “Unveiling Steady State Multiplicity in Hybridoma Cultures: The Cybernetic Approach,” Biotech. & Bioeng., 81, 80-91, 2003.

Ramkrishna, D., “On Bioreactor Models for Control,” Journal of Process Control, 13, 581-589, 2003.

Namjoshi, A. and D. Ramkrishna, “Bifurcation Analysis of Cybernetic Models for Continuous Bioreactors with Mixed Substrate Feeds,” Chem. Eng. Sci., (Mashelkar Festschrift issue), 56, 5593-5607, 2001.

Guardia, M. J., A. Gambhir, A. Europa, D. Ramkrishna and Wei-Shou Hu, "Cybernetic Modeling and Regulation of Metabolic Pathways in Multiple Steady States of Hybridoma Cells, Biotechnology Progress, 16, 847-853, 2000.

Varner, J. and D. Ramkrishna, "Mathematical Models of Metabolic Pathways," Current Opinion in Biotechnology, 10, 146-150, 1999.

Varner, J., D. Ramkrishna and J. E. Bailey, "A Self-Optimizing Adaptive Model of Glucose Catabolism in Escherichia coli. Prediction of Network Response to Amplification of Key Glycolytic Enzymes," Biotechnology Progress, in press, 1999.

Ramakrishna, R., D. Camp, A. E. Konopka and D. Ramkrishna, "Growth of Pseudomonas putida on Naphthalene and Organic Acid Mixtures," FEMS Microbiology Letters, submitted.

Ramkrishna, D. and J. Schell, "On Self-Similar Growth," J. Biotechnology, 71, 255-258, 1999.

Varner, J. and D. Ramkrishna, "Nonlinear Analysis of Cybernetic Models-I. Guidelines for Model Formulation," J. Biotechnol., 71, 67-103, 1999.

Levisauskas, D. and D. Ramkrishna, “Application of Cybernetic Models for Solving Biotechnological Problems. Case Study: Optimization of Substrate Degradation Process,” Informacines Technologijos Ir Valdymas, 12, 7-11, 1999.

Varner, J. and D. Ramkrishna, Metabolic Engineering From A Cybernetic Perspective: Aspartate Family of Amino Acids," Metabolic Eng., 1, 88-116, 1999.

Varner, J. and D. Ramkrishna, "Metabolic Engineering From A Cybernetic Perspective II. Qualitative Investigation of Nodal Architectures and Their Response to Genetic Perturbation," Biotechnology Progress, 15, 426-438, 1999.

Varner, J. and D. Ramkrishna, "Metabolic Engineering from a Cybernetic Perspective-I. Theoretical Preliminaries," Biotechnology Progress, 15, 407-425, 1999.

Varner, J. and D. Ramkrishna, "Application of Cybernetic Models to Metabolic Engineering.  Investigation of Storage Pathways," Biotech. & Bioeng., 58, 282-291, 1998.

Ramakrishna, R., A. E. Konopka, and D. Ramkrishna, "Microbial Growth on Substitutable Substrates.  Characterizing the Consumer Resource Relationship," Biotech. & Bioeng., 54, 77-90, 1997.

Narang, A., A.E. Konopka and D. Ramkrishna, "Dynamic Analysis of the Cybernetic Model for Diauxic Growth," Chem. Eng. Sci.,  52, 2567-2578, 1997.

Narang, A., A.E. Konopka and D. Ramkrishna, "The Dynamics of Microbial Growth in Mixtures of Substrates in Batch Reactors," J. of Theoretical Biology,  184, 301-317, 1997.

Narang, A., A.E. Konopka and D. Ramkrishna, "New Patterns of Mixed Substrate Utilization During Batch Growth of Escherichia coli," Biotech & Bioeng, 55, 747-757, 1997.

Ramakrishna, R., D. Ramkrishna and A. E. Konopka, "Cybernetic Modeling of Growth in Mixed, Substitutable Substrate Environments. Preferential and Simultaneous Utilization," Biotech. & Bioeng., 52, 141-151, 1996.

Population Balance Modeling

Borchert, C., Nandkishor Nere, D. Ramkrishna, A. Voigt, and K. Sundmacher, “On the Prediction of Crystal Shape Distributions in a Steady State Continuous Crystallizer,” Chem. Eng. Sci., 64, 686-696, 2009.

Bhole, M. R., J. B. Joshi and D. Ramkrishna, “CFD simulation of bubble columns incorporating population balance modeling,” Chem Eng. Sci., 63, 2267-2282, 2008.

Nopens, Ingmar, Nandkishor Nere, Peter A. Vanrolleghem and Doraiswami Ramkrishna, “Solving the inverse problem for aggregation in activated sludge flocculation using a population balance framework,” Water Science and Technology, 56, 95-103, 2007.

Sherer. E., R. E. Hannemann, A. Rundell, and D. Ramkrishna, “Estimation of likely cancer cure using first and second order product densities of population balance models,” Ann. Bioeng., 35, 903-915, 2007.

Nere, Nandkishor, D. Ramkrishna, B. E. Parker and Pankaj Mohan, “Transformation of Chord Length Distributions to Size Distributions for Non-Spherical Particles with Orientation Bias,” Ind. Eng. Chem. (Sharma issue), 46 (10), 3041 -3047, 2007.

Ramkrishna, D. and Nere, Nandkishor, “Evolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow Revisited,” Ind. Eng. Chem, 45, 7673-.7678, 2006.

Mahoney, A. and D. Ramkrishna, “Inverse Problems in Population Balances. Determination of Aggregation by Weighted Residuals,” A.I.Ch.E. Jl., submitted.

Sherer, E., Rundell, A. E., R. E. Hannemann and D. Ramkrishna, “Analysis of Resonant Chemotherapy in Leukemia Treatment via Multi-Staged Population Balance Models,” J. Theoretical Biol., 240, 648-661, 2006.

Nere, Nandkishor and D. Ramkrishna, "Solution of population balance equation with pure aggregation in a fully developed turbulent pipe flow" Chem.Eng.Sci. 61, 96-103, 2006.

Nere, Nandkishor and D. Ramkrishna, “Evolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow of a Liquid-Liquid Dispersion by Breakage,” Ind. Eng. Chem., (Wasan issue), 44, 1187-1193, 2005.

Pilon, L., A. G. Federov, D. Ramkrishna and R. Viskanta, “Bubble Transport in Three Dimensional Laminar Gravity-Driven Flow-Mathematical Formulation,” J. Noncrystalline Solids, 336, 71-83, 2004.

Kulkarni, A., D. Ramkrishna and J. B. Joshi, “Determination of Bubble Size Distributions by Laser–Doppler Anemometry,” A.I.Ch.E. Jl., 50, 3068-3084, 2004.

Ramkrishna, D. and N. R. Amundson, “Mathematics in Chemical Engineering. A Fifty Year Introspection,” A.I.Ch.E. Jl., 50, 1-16, 2004.

Ramkrishna, D., “On Aggregating Populations,” Ind.Eng.Chem. Res., (Shinnar special issue), 43, 441-448, 2004.

Hamilton, R. A., Jennifer S. Curtis, and Doraiswami Ramkrishna, “Beyond Log-Normal Distributions; A Hermite Spectral Method for Solving Population Balance Equations,” A.I.Ch.E. Jl., 49, 2328-2343, 2003.

Mahoney, A. and Doraiswami Ramkrishna, "Efficient Solution of Population Balance Equations with Discontinuities by Finite Elements," Chem. Eng .Sci., 57, 1107-1119, 2002.

Mahoney, A., F. Doyle and D. Ramkrishna, "Inverse Problems in Population Balances: Growth and Nucleation from Dynamic Data,” A.I.Ch.E. Jl., 48, 981-990, 2002.

Ramkrishna, D. and A. Mahoney, "Population Balance Modeling. Promise for the Future," Chem. Eng. Sci., (Invited Flagship paper), 57, 595-606, 2002.

Kumar, S., T. Pirog and D. Ramkrishna, "A New Method for Estimating Creaming/Settling Velocity of Particles in Poly-Dispersed Systems," Chem. Eng. Sci., 55, 1893-1904, 2000.

Tobin, T. and D. Ramkrishna, "Modeling the Effect of Drop Charge on Coalescence in Turbulent Liquid-Liquid Dispersions," Can. J. Chem. Eng., 77, 1090-1104, 1999.

Kumar, S. and D. Ramkrishna, "On the Solution of Population Balance Equations by Discretization-III.  Nucleation, Growth and Aggregation of Particles," Chem. Eng. Sci., 24, 4659-4679, 1997.

Bandyopadhyaya, R., K. S. Gandhi, R. Kumar and D. Ramkrishna, "Modeling of Precipitation in Reverse Micellar Systems," Langmuir, 13, 3610-3620, 1997.

Lam, A., A. Sathyagal, S. Kumar and D. Ramkrishna, "On the Maximum Stable Drop Diameter in Stirred Dispersions," AIChE J., 42, 1547-1552, 1996.

Kumar, S. and D. Ramkrishna, "On the Solution of Population Balance Equations by Discretization  II," Chem. Eng. Sci., 51, 1333-1342, 1996.Kumar, S. and D. Ramkrishna, "On the Solution of Population Balance Equations by Discretization I."  Chem. Eng. Sci., 51, 1311-1332, 1996.

Kumar, S., G. Narsimhan and D. Ramkrishna, "Coalescence in Creaming Emulsions.  Existence of a Creaming-Free Zone," Ind. & Eng. Chem Res. (Ruckenstein issue), 35, 3155-3162, 1996.

Manjunath, S., K.S. Gandhi, R. Kumar, and D. Ramkrishna, "Precipitation in Small Systems - II. Mean Field Equations More Effective than Population Balance,” Chem. Eng. Sci., 51, 4423-4436, 1996.

Sathyagal, A., G. Narsimhan, and D. Ramkrishna, “Droplet breakage in stirred dispersions. Breakage functions from experimental drop-size distributions,” Chem. Eng. Sci., 51, 1377-1391, 1996.

Reaction Engineering

Qiang Qin, and D. Ramkrishna “The Effect of Operating Conditions on the Dispersion State of Supported Metal Catalysts: A Model Study,” Ind. Eng. Chem. Res., (Dudukovic issue), 44, 6466-6476, 2005.

Qiang Qin, D. Ramkrishna “Modeling of Surface Structure of Supported Catalysts. Application to Deactivation of  FT Reactors,” Ind. Eng. Chem. Res., (Gavalas issue), 43, 2912 -2921, 2004.

Song, Hyun-Seob, Doraiswami Ramkrishna, Sinh Trinh and Harold Wright, “Operating Strategies for Fischer-Tropsch Reactors. A Model-Directed Study,” Korean J. Chem.Eng., 21, 308-317, 2004.

Song, Hyun-Seob, Ramkrishna, D., Trinh, S., Espinoza, R. L. & Wright, H “Multiplicity and Sensitivity Analysis of Fischer-Tropsch Bubble Column Slurry Reactors: Plug-Flow Gas and Well-Mixed Slurry Model,” Chem. Eng. Sci., 58, 2759-2766, 2003.

Song, Hyun-Seob, Doraiswami Ramkrishna, Sinh Trinh and Harold Wright, “A Diagnostic Nonlinear Analysis of Fischer-Tropsch Synthesis in Stirred Tank Slurry Reactors,” A.I.Ch.E. Jl., 49, 1803-1820, 2003.

Lele, Tanmay, Jochen Lauterbach and Doraiswami Ramkrishna, “A Framework for Dynamic Analysis of Physico-Chemical Processes on Catalytic Surfaces with application to CO Oxidation on Pt(1 0 0),” A.I.Ch.E. Jl., 49, 2158-2172, 2003.

Cote, A., W. N. Delgass and D. Ramkrishna, "Spatially Patterned Catalytic Reactors. Feasibility Issues," Chem. Eng. Sci. Jubilee Volume: ISCRE 16; Chemical Reaction Engineering Beyond 2000, Ed. A. Burghardt, R. Pohorecki and A. Cybulski, Part B. 56, 1011-1019, 2001.

Cote, A., W. N. Delgass and D. Ramkrishna, “Enhancement of selective conversion in spatially patterned reactors,” Reaction Kinetics and the Development of Catalytic Process Studies in Surface Science and Catalysis,122, 199-206, 1999.

Cote, A., W. N. Delgass and D. Ramkrishna, "Investigation of Spatially Patterned Catalytic Reactors," Chem. Eng. Sci. (ISCRE issue), 54, 2627-2635, 1999.

Ramkrishna, D. and R. Aris, "The Beauty of Self-Adjoint Symmetry," Ind. Eng. Chem. Research (Special Issue in honor of Roy Jackson), 38, 845-850, 1999.

Trinh, S. and D. Ramkrishna, "Spatiotemporal Patterns in a Catalytic Reactor," Ind. Eng. Chem., Ind. & Eng. Chem Res. (L. K. Doraiswamy issue) 37, 2232-2238, 1998.

Krishnaswami, S., D. Ramkrishna and J. M. Caruthers, "Statistical-Mechanically Exact Simulation of Polymer Conformation in an External Field," J. of Chem. Phys., 107, 5929-5944, 1997.

Trinh, S. and D. Ramkrishna, "Pattern Formation in Fixed Bed Catalytic Reactors - II.  Pattern Classes," Chem. Eng. Sci., 52,  3561-3578, 1997.

Trinh, S. and D. Ramkrishna, "Pattern Formation in Fixed Bed Catalytic Reactors - I."  Chem. Eng. Sci., 21, 4887-4901, 1996.

Ramkrishna, D. and K. Yasuda, "Maximizing Selectivity of Liquid-Liquid Reaction Systems.  Control of the Dispersion Process," Chem. Eng. Commns., 147, 119-132, 1996.

 

All publications upto the year 1995

Gandhi, K. S., R. Kumar, and D. Ramkrishna, "Some Basic Aspects of Reaction Engineering of Precipitation Processes," Ind. & Eng. Chem., (BSL Issue), 34, 3223-3230, 1995.

Sathyagal, A., D. Ramkrishna, and G. Narsimhan, "Solution of Inverse Problems in Population Balances.  II. Particle Break-up," Computers and Chem. Eng., 19, 437-451, 1995.

Ramkrishna, D., A. Sathyagal, and G. Narsimhan, "Analysis of Dispersed Phase Systems.  Fresh Perspective," AIChE J., 41, 35-44, 1995.

Liu, Lee-Yin, D. Ramkrishna, and H. Lackritz, "The Rotational Brownian Motion of Chromophores and Electric Field Effects in Polymer Films for Second Order Nonlinear Optics," Macromolecules, 21, 5987-5999, 1994.

Ramkrishna, D., "Toward a Self-Similar Theory of Microbial Populations," Biotech. & Bioeng., 43, 138-148, 1994.

Wright, H. and D. Ramkrishna, "Factors Affecting Coalescence Frequency of Droplets in Stirred Liquid-Liquid Dispersion," A.I.Ch.E. J., 40,  676-686, 1994.

Manjunath, S., K.S. Gandhi, R. Kumar and D. Ramkrishna, "Precipitation in Small Systems - I. Stochastic Analysis," Chem. Eng. Sci., Vol. 49(9), 1451-1463, 1994.

Trinh, S. and D. Ramkrishna, "Feasibility of Pattern Formation in Catalytic Reactors," Chem. Eng. Sci, Vol. 49(1), 158-1599, 1994.

Straight, J.V. and D. Ramkrishna, "Cybernetic Modeling and Regulation of Metabolic Pathways. Application to Growth under Multiply-Limiting Conditions," Biotech. Progress, 10, 588-605, 1994.

Straight, J.V. and D. Ramkrishna, "Cybernetic Modeling and Regulation of Metabolic Pathways. Application to Growth on Complementary Substrates," Biotech. Progress, 10, 574-587, 1994.

Muralidhar, R. and D. Ramkrishna, "Diffusion in Pore Fractals.  A Review of Linear Response Models," Journal of Transport in Porous Media, 13, 79-95, 1993.

Wright, H. and D. Ramkrishna, "On the Upper Critical Dimension for Aggregation Processes," Phys. Rev. E, 47, 3225-3230, 1993.

Wright, H. and D. Ramkrishna, "Solution of Inverse Problems in Population Balances - I. Aggregation Kinetics," Computers in Chem. Eng., 16, 1019-1038, 1992.

Tobin, T., D. Ramkrishna and R. Muralidhar, "An Investigation of Drop Charge Effects on Coalescence in Agitated Liquid-Liquid Dispersions," in Process Mixing: Chemical & Biochemical Applications, Eds. G. B. Tatterson and R. V. Calabrese, A.I.Ch.E. Symposium Series, 88, 60-64, 1992.

Tobin, T. and D. Ramkrishna, "Coalescence of Charged Droplets in Agitated Liquid-Liquid Dispersions," AIChE J., 38, 1199-1205, 1992.

Arce, P. and D. Ramkrishna, "Modelling of Catalytic Reactors.  Interaction Between Fluid and Particles - Some New Problems,"  Latin American Applied Res., 22, 63-89, 1992.

Wright, H., R. Muralidhar, and D. Ramkrishna, "Aggregation Frequencies of Fractal Clusters," Phys.Rev. A, 46, 5072-5083, 1992.

Muralidhar, R., D. Jacobs, D. Ramkrishna, and H. Nakanishi, "Diffusion on Two-Dimensional Percolation Clusters.  Influence of Cluster Anisotropy," Phys. Rev. A, 43, 6503-6517, 1991.

Ramkrishna, D. and P. Arce, "Some Further Observations on Heterogeneous Catalytic Reactor Models.  Pattern Formation in Catalytic Reactors," Chem. Eng. Sc., 46, 3123-3128, 1991.

Baloo, S. and D. Ramkrishna, "Metabolic Regulation in Continuous Cultures of Bacteria-II," Biotech. & Bioeng. 38, 1353-1363, 1991.

Baloo, S. and D. Ramkrishna, "Metabolic Regulation in Continuous Cultures of Bacteria-I," Biotech. & Bioeng. 38, 1337-1352, 1991.

Alexander, Matthew L. and D. Ramkrishna, "Cybernetic Modeling of Iron-Limited Growth and Siderophore Production," Biotech. & Bioeng., 38, 637-652, 1991.

Alexander, M.L. and D. Ramkrishna, "Iron-Limited Growth and Siderophore Production," by Eschericia coli, J. Appl. & Environmental Microbiology, under revision.

Arce, P. and D. Ramkrishna, "Pattern Formation in Catalytic Reactors-I. Role of Fluid Mixing," AIChE J., 37, 98-110, 1991.

Straight, J.V. and D. Ramkrishna, "Complex Growth Dynamics in Batch Cultures. Experiments and Cybernetic Models," Biotech. & Bioeng., 37,  895-909, 1991.

Muralidhar, R., D. Ramkrishna, D. Jacobs and H. Nakanishi, "Anomalous Diffusion. A Dynamic Perspective," Physica A, 167, 539-559, 1990.

Tobin, T., R. Muralidhar, H.A. Wright, and D. Ramkrishna, "Experimental Determination of Drop Size Dependence of Coalescence Frequencies in Stirred Liquid-Liquid Dispersions," Chem. Eng. Sci., 45, 3491-3504, 1990.

Wright, H.A., R. Muralidhar, T.G. Tobin, and D. Ramkrishna, "Inverse Problems of Aggregation Processes," J. Stat. Phys., 61, 843-863, 1990.

Straight, J.V., D. Ramkrishna, S.J. Parulekar and N.B. Jansen, "Bacterial Growth on Lactose.  An Experimental Investigation," Biotech. & Bioeng. 34, 705-717, 1989.

Muralidhar, R. and D. Ramkrishna, "Inverse Problems in Agglomeration Kinetics - II.  Non-homogeneous Kernels," J. Colloid & Interface Sci. 131, 503-513, 1989.

Ramkrishna, D. and P. Arce, "Can Pseudohomogeneous Reactor Models be Valid?" Chem. Eng. Sci., 44, 1949-66, 1989.

Turner, B.G., D. Ramkrishna and N.B. Jansen, "Maintenance Energy Requirements in Single Substrate Bacterial Cultures.  Cybernetic Models versus Experiments," Biotech. Bioeng. 34, 252-261, 1989.

Turner, B.G. and D. Ramkrishna, "A Revised Enzyme Synthesis Rate Expression in Cybernetic Models of Bacterial Growth," Biotech. Bioeng., 31, 41-43, 1988.

Turner, B.G., D. Ramkrishna and N.B. Jansen, "Maintenance Energy Requirements in Mixed Substrate Bacterial Cultures.  Cybernetic Models versus Experiments," Biotech. Bioeng.  32, 46-54, 1988.

Muralidhar, R., D. Ramkrishna, P.K. Das and R. Kumar, "Coalescence of Rigid Drops in Stirred Dispersions - II.  Band-Limited Force Fluctuations," Chem. Eng. Sci., 43, 1559-1568, 1988.

Ramkrishna, D. and P. Arce, "Self-Adjoint Operators of Transport in Interacting Solid-Fluid Systems - II," Chem. Eng. Sci., 43, 933-944, 1988.

Ramkrishna, D. and N.R. Amundson, "More on Oblique Derivative Boundary Value Problems," Chem. Eng. Comm., 58, 397-411, 1987.

Das, P.K., D. Ramkrishna and G. Narsimhan, "Effect of Mass Transfer on Droplet Break-up," AIChE J., 33, 1899-1902, 1987.

Ramkrishna, D., D.S. Kompala and G.T. Tsao, "Are Microbes Optimal Strategists?" Biotechnology Progress, 3, 121-126, 1987.

Muralidhar R., Gustafson, S. and D. Ramkrishna, "Population Balance Modeling of Bubbling Fluidized Bed Reactors - II.  Axially Dispersed Dense Phase," Sadhana, 10, 69-86, 1987.

Ramkrishna, D., L.L. Levine and B. Drew, "Calendering of Viscoelastic Fluids.  An Exact Analysis of the Maxwell Model under the Lubrication Approximation," J. Non-Newtonian Fluid Mech.  (under revision).

Ramkrishna, D., "On the Completeness of Smith's Eigenfunctions for Problems in Stokes Flow and Elasticity," Archives for Rational Mechanics and Analysis, under revision.

Parulekar, S.J., D. Ramkrishna, N.R. Amundson, and R. Flummerfelt, "Interfacial Surfactant Concentrations in an Oscillating Droplet," Chem. Eng. Sci., 42, 2447-2454, 1987.

Sweet, I.R., Gustafson, S. and D. Ramkrishna, "Population Balance Modeling of Bubbling Fluidized Bed Reactors - I.  Well-Stirred Dense Phase," Chem. Eng. Sci., 42, 341-351, 1987.

Das, P.K., R. Kumar and D. Ramkrishna, "Coalescence of Drops in Stirred Dispersions.  A White Noise Model for Coalescence," Chem. Eng. Sci., 42, 213-220, 1987.

Muralidhar, R. and D. Ramkrishna, "Analysis of Coalescence in Turbulent Liquid-Liquid Dispersions," I&EC Fundam., 25, 554-560, 1986.

Arce, P. and D. Ramkrishna, "Self-Adjoint Operators of Transport in Interacting Solid-Fluid Systems," Chem. Eng. Sci., 41, 1539-1548, 1986.

Kompala, D.S., D. Ramkrishna., N.B. Jansen and G.T. Tsao, "Investigation of Bacterial Growth on Mixed Substrates.  Experimental Evaluation of Cybernetic Models," Biotech. & Bioeng., 28, 1044-1056, 1986.

Turner, B. G. and D. Ramkrishna, "Multicomponent Diffusion and Reaction.  Selectivity of First Order Systems in a Tubular Reactor," I&EC Fundam., 25, 258-265, 1986.

Muralidhar, R. and D. Ramkrishna, "An Inverse Problem in Agglomeration Kinetics," J. Colloid & Interface Sci., 112, 348-361, 1986.

Sampson, K.J. and D. Ramkrishna, "Particle Size Correlations in Brownian Agglomeration. Closure Hypotheses for Product Density Equations," J. Colloid & Interface Sci., 110, 410-423, 1986.

Dhurjati, P., D. Ramkrishna, M.C. Flickinger and G.T. Tsao, "A Cybernetic View of Microbial Growth-I.  Modelling of Cells as Optimal Strategists." Biotech. & Bioeng. 27, 1-9, 1985.

Ramkrishna, D., "The Status of Population Balances," Chem. Eng. Rev., 3, 49-95, 1985.

Sampson, K.J. and D. Ramkrishna, "Particle Size Correlations and the Effects of Limited Mixing on Agglomerating Particle Systems," J. Colloid & Interface Science, 104, 269-276, 1985.

Sampson, K.J. and D. Ramkrishna, "A New Solution to the Brownian Coagulation Equation through the Use of Root-Shifted Problem-Specific Polynomials," J. Colloid & Interface Science, 103, 245-254, 1985.

Kompala, D., D. Ramkrishna and G.T. Tsao, "Cybernetic Modelling of Microbial Growth on Multiple Substrates-II," Biotech. & Bioeng., 26, 1272-1281, 1984.

Parulekar, S.J. and D. Ramkrishna, "Transients in Adiabatic Tubular Reactors.  Axial Dispersion Models with Well-Mixed Appended Sections," Chem. Eng. Sci., 39, 1785-1790, 1984.

Parulekar, S.J. and D. Ramkrishna, "Analysis of Axially Dispersed Systems with General Boundary Conditions-III. Solution for Unmixed and Well-Mixed Appended Sections," Chem. Eng. Sci., 39, 1599-1611, 1984.

Parulekar, S.J. and D. Ramkrishna, "Analysis of Axially Dispersed Systems with General Boundary Conditions-II.  Solution for Dispersion in Appended Sections," Chem. Eng. Sci., 39, 1581-1597, 1984.

Parulekar, S.J. and D. Ramkrishna, "Analysis of Axially Dispersed Systems with General Boundary Conditions-I.  Formulation," Chem. Eng. Sci., 39, 1571-1579, 1984.

Parulekar, S.J. and D. Ramkrishna, "Tubular Reactor Stability Revisited without Danckwerts Boundary Conditions," Chem. Eng. Sci., 39,  455-469, 1984.

Narsimhan, G., Nejfelt, G. and D. Ramkrishna, "Breakage Functions for Droplets in Agitated Liquid-Liquid Dispersions," AIChE J., 30, 457-467, 1984.

Agarwal, P., H.C. Lim and D. Ramkrishna, "An Extended Bottleneck Model: Accounting for the Metabolic Turnover Effect in Microorganisms," J. Chem. Technol. Biotechnol., (33B), 155-163, 1983.

Ramkrishna, D., "Operator-Theoretic Methods in Heat and Mass Transfer Problems," Advances in Transport Processes, Edited by A.S. Mujumdar and R.A. Mashelkar, Halsted Press, NY, Vol. III, 387-439, 1983.

Ramkrishna, D. and N.R. Amundson, "A Nonselfadjoint Problem in Heat Conduction," J. Heat Transfer, 104, 185-190, 1982.

Parulekar, S.J. and D. Ramkrishna, "A Spectral-Theoretic View of Axial Dispersion Models," in Residence Time Distribution Theory in Chemical Engineering, Edited by A. Petho and R.D. Noble, Verlag Chemie, Weinheim, 113-146, 1982.

Agarwal, P., C. Lee, H.C. Lim and D. Ramkrishna, "Theoretical Investigations of Dynamic Behavior of Isothermal Continuous Stirred Tank Biological Reactors," Chem. Eng. Sci., 37, 453-462, 1982.

Ramkrishna, D., "A Cybernetic Perspective of Microbial Growth," in Foundations of Biochemical Engineering:  Kinetics and Thermodynamics in Biological Systems, American Chemical Society Publication, 1982.

Hibbard, J.L. and D. Ramkrishna, "Analysis of Phase Transfer Catalytic Reactions in Liquid-Liquid Systems," in Process and Fundamental Considerations of Selected Hydrometallurgical Systems, Ed. M.C. Kuhn, Society of Mining Engineers of American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc., New York, 281- 289, 1981.

Ramkrishna, D., G. Narsimhan and N.R. Amundson, "Boundary Value Problems in Transport with Oblique and Mixed Derivative Boundary Conditions.  More on Steady State Solution," Chem. Eng. Sci., 36, 199-207, 1981.

Ramkrishna, D., "Analysis of Population Balance-IV.  The Precise Connection Between Population Balance and Monte Carlo Simulation," Chem. Eng. Sci., 36, 1203-1209, 1981.

Papoutsakis, E., D. Ramkrishna, "Heat Transfer in a Capillary Flow Emerging from a Reservoir," J. of Heat Transfer, 103, 429-435, 1981.

Papoutsakis and D. Ramkrishna, "Conjugated Graetz Problems.  I. General Formalism and a Class of Solid-Fluid Problems," Chem. Eng. Sci., 36, 1381-1391, 1981.

Papoutsakis, E., and D. Ramkrishna, "Conjugated Graetz Problems. II. Fluid-Fluid Problems," Chem. Eng. Sci., 36, 1393-1399, 1981.

Ramkrishna, D. and N.R. Amundson, "Boundary Value Problems in Transport with Mixed and Oblique Derivative Boundary Conditions. Steady State and Transient Solutions," Chem. Eng. Sci., 35, 577-589, 1980.

Papoutsakis, E., D. Ramkrishna and H.C. Lim, "The Extended Graetz Problem with Dirichlet Wall Boundary Conditions," Appl. Sci. Res., 36, 13-34, 1980.

Papoutsakis, E., D. Ramkrishna and H.C. Lim, "The Extended Graetz Problem with Neumann Wall Boundary Conditions," AIChE J., 26, 779-787, 1980.

Narsimhan, G., D. Ramkrishna and J.P. Gupta, "Analysis of Dropsize Distribution in Stirred Liquid-Liquid Dispersions," AIChE J., 26, 991-1000, 1980.

Narsimhan, G., J.P. Gupta and D. Ramkrishna, "A Model for Transitional Breakage Probability of Droplets in Agitated Lean Liquid-Liquid Dispersions," Chem. Eng. Sci., 34, 257-265, 1979.

Feijoo, L., H.T. Davis and D. Ramkrishna, "Heat Transfer in Composite Solids," J. Heat Transfer., 101, 137-143, 1979.

Ramkrishna, D., "Statistical Models of Cell Populations," Advances in Biochemical Engineering, Ed. A. Fiechter and T.K. Ghose, vol. 11, 1-47, 1979.

Ramkrishna, D., "Normal Operators in Chemical Engineering," Proceedings of the Second International Conference on Mathematical Modelling, Vol. I, 645-655, 1979.

Ramkrishna, D. and N.R. Amundson, "Boundary Value Problems with Mixed and Oblique Derivative Boundary Conditions.  Reduction to Integral Equations," Chem. Eng. Sci., 34, 301-308, 1979.

Ramkrishna, D. and N.R. Amundson, "Boundary Value Problems with Mixed and Oblique Derivative Boundary Conditions.  Reduction to First Order Systems," Chem. Eng. Sci., 34, 309-318, 1979.

Ries, J.F.G., D. Ramkrishna and E.N. Lightfoot, "Convective Mass Transfer in the Presence of Polarizing Fields.  Application to Dispersion in Hollow Fiber Electropolarization Chromatography." AIChE J., 24,  679-686, 1978.

Ramkrishna, D., "Statistical Foundation of Segregated Models of Cell Populations," paper presented at 70th Annual Meeting of AIChE, New York, 1977.

Shah, B.H., D. Ramkrishna, and J.D. Borwanker, "A Simulative Analysis of Agglomerating Bubble Populations in a Fluidized Bed," Chem. Eng. Sci., 32, 1419-1425, 1977.

Sheth, M., D. Ramkrishna and A.G. Fredrickson, "Stochastic Models of Algal Photosynthesis in Turbulent Channel Flow," AIChE J., 23, 794-804, 1977.

Bajpai, R.K., D. Ramkrishna and A. Prokop, "Effect of Drop-Interactions on Hydrocarbon Fermentation Yields," Biotech. & Bioeng., XIX, 1761-1772, 1977.

Shah, B.H., D. Ramkrishna and J.D. Borwanker, "Monte Carlo Simulation of Particulate Systems," AIChE J., 23, 897-904, 1977.

Singh, P.N. and D. Ramkrishna, "Solution of Population Balance Equations," Computers and Chemical Engineering, 1, 23-31, 1977.

Bajpai, R.K., D. Ramkrishna and A. Prokop, "A Coalescence Redispersion Model for Dropsize Distributions in an Agitated Vessel," Chem. Eng. Sci., 31, 913-920, 1976.

Ramkrishna, D., B.H. Shah and J.D. Borwanker, "Analysis of Population Balance - III.  Agglomerating Populations," Chem. Eng. Sci., 31, 435-442, 1976.

Shah, B.H., J.D. Borwanker and D. Ramkrishna, "Monte Carlo Simulation of Microbial Population Growth," Math. Biosci., 31, 1-23, 1976.

Singh, P.N. and D. Ramkrishna, "Transient Solution of the Brownian Coagulation Equation by Problem-Specific Polynomials," J. Colloid & Interface Sci., 53, 214-223, 1975.

Bajpai, R.K., A. Prokop and D. Ramkrishna, "Dispersions in Hydrocarbon Fermentation.  A Retrospective Study," Biotech. & Bioeng., 17,  541-556, 1975.

Bajpai, R.K., D. Ramkrishna and A. Prokop, "Coalescence Frequencies in Waldhof-Agitated Systems," Biotech. & Bioeng., XVII, 1697-1703, 1975.

Ramkrishna, D., "On Droplet Breakage Phenomena in Liquid-Liquid Dispersions," Chem. Eng. Sci., 29, 987-992, 1974.

Rao, N.J., J.D. Borwanker and D. Ramkrishna, "Numerical Solution of Ito Integral Equations," S.I.A.M.J. on Control, 12, 124-139, 1974.

Rao, N.J., D. Ramkrishna and J.D. Borwanker, "Stochastic Simulation of Stirred Tank Reactors," Chem. Eng. Sci., 29, 1193-1204, 1974.

Ramkrishna, D. and N.R. Amundson, "Transport in Composite Materials: Reduction to a Self Adjoint Formalism," Chem. Eng. Sci., 29, 1457-1464, 1974.

Ramkrishna, D. and N.R. Amundson, "Stirred Pots, Tubular Reactors, and Self Adjoint Operators," Chem. Eng. Sci., 29, 1353-1361, 1974.

Ramkrishna, D. and J.D. Borwanker, "A Puristic Analysis of Population Balance - II," Chem. Eng. Sci., 29, 1711-1721, 1974.

Ramkrishna, D. and N.R. Amundson, "On Vibration Problems with Discretely Distributed Loads - A. Rigorous Formalism,", J. Appl. Mechanics, 41, 1106-112, 1974.

Shah, B.H. and D. Ramkrishna, "A Population Balance Model for Mass Transfer in Lean Liquid-Liquid Dispersions," Chem. Eng. Sci., 28, 389-399, 1973.

Ramkrishna, D. and N.R. Amundson, "Self-Adjoint Operators from Selected Nonsymmetric Matrices; Application to Kinetics and Rectification," Chem. Eng. Sci., 28, 601-605, 1973.

Ramkrishna, D., "On Problem-Specific Polynomials," Chem. Eng. Sci., 28, 1362-1365, 1973.

Ramkrishna, D. and J.D. Borwanker, "A Puristic Analysis of Population Balance - I," Chem. Eng. Sci., 28, 1423-1435, 1973.

Ramkrishna, D., "Population Balance Modeling of Mass Transfer in Lean Liquid-Liquid Dispersions," Paper presented at the 71st AIChE Meeting held at Dallas, Texas in February 1972.

Subramanian, G., and D. Ramkrishna, "On the Solution of Statistical Models of Cell Populations," Math. Biosci., 10, 1-23, 1971.

Subramanian, G., D. Ramkrishna, A.G. Fredrickson and H.M. Tsuchiya, "On the Mass Distribution Model for Microbial Cell Populations," Bull. Math. Biophys., 32, 521-537, 1970.

Ramkrishna, D., "Solution of Population Balance Equations," Chem. Eng. Sci., 26, 1134-1136, 1971.

Fredrickson, A.G., D. Ramkrishna and H.M. Tsuchiya, "The Necessity of Including 'Structure' in Mathematical Models of Unbalanced Microbial Growth," Chem. Eng. Prog.  (Symposium Series), 67, No. 108, 53-59, 1971.

Ramkrishna, D., A.G. Fredrickson and H.M. Tsuchiya, "On Relationships Between Various Distribution Functions in Balanced Unicellular Growth," Bull, Math. Biophys., 30, 319-323, 1968.

Ramkrishna, D., A.G. Fredrickson and H.M. Tsuchiya, "Dynamics of Microbial Propagation: Models Considering Inhibitors and Variable Cell Composition," Biotech. & Bioeng., 9, 129-170, 1967.

Fredrickson, A.G., D. Ramkrishna and H.M. Tsuchiya, "Statistics and Dynamics of Procaryotic Cell Populations," Math. Biosci., 1, 327-374, 1967.

Ramkrishna, D., A.G. Fredrickson and H.M. Tsuchiya, "Dynamics of Microbial Propagation: Models Considering Endogenous Metabolism," J. Gen. Appl. Microbiol., 12, 311-327, 1966.

Ramkrishna, D., A.G. Fredrickson, and H.M. Tsuchiya, "The Dynamics of Microbial Growth; A Distributed, Unstructured Model," J. Ferm. Technol., 44, 203-210, 1966.

Ramkrishna, D., A.G. Fredrickson and H.M. Tsuchiya, "The Dynamics of Microbial Growth; A Distributed Structured Model," J. Ferm. Technol., 44, 210-217, 1966.