Publications  (1996- Present)

 

ALL Publications

For Most Up-to-Date List: Google Scholar Profile

 

DeVilbiss, F. and Ramkrishna, D. Addressing the Need for a Model Selection Framework in Systems Biology Using Information Theory. Proceedings of the IEEE, 105(2), pp.330-339, DOI: 10.1109/JPROC.2016.2560121, 2017 Link

 

Song, H.S. and Ramkrishna, D. Comment on “Mathematical modeling of unicellular microalgae and cyanobacteria metabolism for biofuel production” by Baroukh et al [Curr. Opin. Biotechnol. 2015, 33: 198–205] (No. PNNL-SA-117715). Pacific Northwest National Laboratory (PNNL), Richland, WA (US) , DOI:  10.1016/j.copbio.2016.02.026, 2016 Link

 

Jayachandran, D., Laínez-Aguirre, J., Rundell, A., Vik, T., Hannemann, R., Reklaitis, G. and Ramkrishna, D. Model-based individualized treatment of chemotherapeutics: Bayesian population modeling and dose optimization. PloS one, DOI: https://doi.org/10.1371/journal.pone.0133244 10(7), p.e0133244, 2015 Link

 

Shu, Che-Chi, Jeremy Binagia, Vu Tran and Doraiswami Ramkrishna, “On Speeding up Stochastic Simulations by Parallelization of Random Number Generation” Chem.Eng.Sci., doi:10.1016/j.ces.2015.06.066, 137, 828-836, 2015.Link

 

Chakaraborty, J., Jitendra Kumar, Mehakpreet Singh, Alan Mahoney and Doraiswami Ramkrishna, “Inverse Problems in Population Balances. Determination of Aggregation Kernel by Method of Weighted Residuals” Ind.Eng.Chem.Res., DOI: 10.1021/acs.iecr.5b01368, 54, 10530-10538, 2015.Link

 

Singh Meenesh R. and Doraiswami Ramkrishna, “Dispersions in Crystal Nucleation and Growth Rates: Implications of Fluctuation in Supersaturation” Chem. Eng. Sci., doi:10.1016/j.ces.2013.11.047, 107, 102-113, 2014.Link

 

Ramkrishna, Doraiswami and Meenesh R. Singh, (Invited Review): “Population Balance Modeling. Current Status and Future Prospects” Annual Reviews in Chemical and Biomolecular Engineering, DOI: 10.1146/annurev-chembioeng-060713-040241, Vol.5, 123-146, 2014.Link

 

Hwang, Hyuntae, Feng Qi, Chong Yuan, Xuebing Zhao, Doraiswami Ramkrishna, Dehua Liu, and Arvind Varma, “Lipase-Catalyzed Process for Biodiesel Production: Protein engineering and lipase production” Biotech. & Bioeng., DOI: 10.1002/bit.25162, 111, 639-653, 2014.Link

 

D. Jayachandran, Usha Ramkrishna, Jodi Skiles, Jamie Renbarger and Doraiswami Ramkrishna, “Revitalizing Personalized Medicine: Respecting Biomolecular Complexities beyond Gene Expression,” CPT: Pharmacometrics & Systems Pharmacology, doi:10.1038/psp.2014.6, 3, 1-11, 2014.Link

 

Devaraj, J., A. E. Rundell, PhD; R. E. Hannemann, T. A Vik, and Doraiswami Ramkrishna, “Optimal Chemotherapy for Leukemia: A Model-Based Strategy for Individualized Treatment” PLoS ONE, doi:10.1371/journal.pone.0109623, 9, e109623, 2014.Link

 

Rane, C. V., K. Ekambara, J. B. Joshi and D. Ramkrishna, “Effect of Impeller Design and Power Consumption on Crystal Size Distribution” A.I.Ch.E. Jl., DOI: 10.1002/aic.14541, 60, 3596-3613, 2014.Link

 

Singh, Meenesh, Nandkishor Nere, Hsien-Hsin Tung, Samrat Mukherjee, Shailendra Bordawekar and Doraiswami Ramkrishna, “Measurement of Polar Plots of Crystal Dissolution Rates using Hot-Stage Microscopy. Some Further Insights on Dissolution Morphologies” Crystal Growth and Design. DOI: 10.1021/cg500939t, 14, 5647-5661, 2014.Link

 

Ramkrishna, Doraiswami, Che-Chi Shu, and Vu Tran, “New "Tau-Leap" Strategy for Accelerated Stochastic Simulation," Industrial & Engineering Chemistry Research. doi:10.1021/ie502929q, 53, 18975-18981, 2014.Link

 

Song, Hyun-Seob and Doraiswami Ramkrishna, “Complex Nonlinear Behavior in Metabolic Processes,” Processes. doi:10.3390/pr1030263, 1, 263-278, 2013.Link

 

Song, Hyun-Seob, Frank DeVilbiss and Doraiswami Ramkrishna, “Modeling Metabolic Systems. The Need for Dynamics, Current Opinion in Chemical Engineering, 2, 373-382, 2013.Link

 

Ramkrishna, D., “The Neal Amundson Era. Rapid Evolution of Chemical Engineering Science,” A.I.Ch.E. Special issue, 59, 3147-3157, 2013.Link

 

Chatterjee, Anushree, Laura C. Cook, Che-Chi Shu, Doraiswami Ramkrishna, Gary M. Dunny and Wei-Shou Hu, “Antagonistic self-sensing and mate-sensing signaling controls antibiotic-resistance transfer” PNAS, 7086-7090, DOI: 10.1073/pnas.1212256110, Published April 2013.Link

 

Singh, Meenesh, Chakraborty, Jayanta; Nandkishor Nere, Hsien-Hsin Tung, Shailendra Bordawekar, and Doraiswami Ramkrishna, “Screening Crystal Morphologies from Crystal Structure,” Crystal Growth and Design, 13, 1390-1396, DOI:10.1021/cg400009m Published April 2013.Link

 

Singh, Meenesh R. and Doraiswami Ramkrishna, “A Comprehensive Approach to Predicting Crystal Morphology Distributions with Population Balances” Meenesh R. Singh,” Crystal Growth and Design, 13, 1397-1411, DOI: 1021/cg301851g Published April 2013.Link

 

Singh, Meenesh, Chakraborty, Jayanta; Nandkishor Nere, Hsien-Hsin Tung, Shailendra Bordawekar, and Doraiswami Ramkrishna, "Image-Analysis-Based Method for Measurement of 3D Crystal Morphology and Polymorph Identification Using Confocal Microscopy," Crystal Growth and Design, 12, 3735-3748, 2012.Link

 

Ramalingam, S., D. Ramkrishna and O. Basaran, “Free Vibrations of a Spherical Drop Constrained at an Azimuth,” Phys. Fluids, 25, Article Number: 082102 DOI: 10.1063/1.4742339, 2012.Link

 

Medvedev, G. A., Adam B. Starry, D. Ramkrishna and J. M. Caruthers, “Stochastic Model for Volume Relaxation in Glass Forming Materials: Local Specific Volume Model,” Macromolecules, 45, 7237-7259, 2012.Link

 

Song, Hyun-Seob, Doraiswami Ramkrishna, Grigoriy Pinchuk, Alexander S. Beliaev, Allan E. Konopka, and James K. Fredrickson, "Dynamic Modeling of Aerobic Growth of Shewanella oneidensis. Predicting Energy Requirement for Growth, Triauxic Growth, and Flux Distributions." Metabolic Engineering, 15, 25-33, 2013.Link

 

Shu, Che-Chi, Doraiswami Ramkrishna, A. Chatterjee and Wei-Shou Hu, “Role of Intracellular Stochasticity in Biofilm Growth. Insights from Population Balance Modeling,” PLoS ONE, Published: Nov. 13, 2013, DOI: 10.1371/journal.pone.0079196.Link

 

Kim, Jin Il, Hyun-Seob Song, Sunil R. Sunkara, Arvind Lali and Doraiswami Ramkrishna, “Exacting Predictions by Cybernetic Model Confirmed Experimentally. Steady State Multiplicity in the Chemostat,” Biotechnol. Progress, 28, 1160-1166, 2012.Link

 

Sowbna, P. R. G. D. Yadav and D. Ramkrishna, “Process Modeling of Mandelic Acid from Benzaldehyde by Phase Transfer Catalysis,” A.I.Ch.E. Jl., 58, 3799-3809 2012.Link

 

Adler, Philipp, Hyun-Seob Song, Katharina Kastner, Doraiswami Ramkrishna and Benno Kunz, “Prediction of dynamic metabolic behavior of Pediococcus pentosaceus producing lactic acid from lignocellulosic sugars,” Biotechnol. Progress, 28, 623-635, 2012.Link

 

Geng, Jun, Hyun-Seob Song, Jinqui Yuan and Doraiswami Ramkrishna, “On Enhancing Productivity of Bioethanol with Multiple Species,” Biotechnol. & Bioeng., 109, 1508-1517, 2012.Link

 

Ramkrishna, D. and Hyun-Seob Song, “Dynamic Models of Metabolism. A Review of the Cybernetic Approach,” A.I.Ch.E. Jl.,58, 986-997, 2012.Link

 

Song, Hyun-Seob and D. Ramkrishna, “Prediction of dynamic behavior of mutant strains from limited wild-type data,” Metabolic Engineering, 14, 69-80, 2012.Link

 

Shu, Che-Chi, A. Chatterjee and Wei-Shou Hu, and Doraiswami Ramkrishna, “Modeling of Gene Regulatory Processes by Population Mediated Signaling. New Applications of Population Balances,” Chem. Eng. Sci., 70, 188-199, 2012.Link

 

Song, Hyun-Seob, Seung Jin Kim and D. Ramkrishna, “Synergistic Optimal Integration of Continuous and Fed-Batch Reactors for Enhanced Productivity of Lignocellulosic Bioethanol,” Ind. Eng. Chem. (Nigam issue), 52, 1690-1696, 2012.Link

 

Shu, Che-Chi, Doraiswami Ramkrishna, A. Chatterjee and Wei-Shou Hu, “Bistability versus Bimodal Distributions in Gene Regulatory Processes from Population Balance Modeling,” PLoS Computational Biology: e1002140. doi:10.1371/journal.pcbi.1002140, 7, August 2011.Link

 

Chakraborty, J. and Doraiswami Ramkrishna, “Population balance modeling of environment dependent breakage: role of granular viscosity, density and compaction. Model formulation and similarity analysis, Ind. Eng. Chem., 50, 13116-13128, 2011.Link

 

Chatterjee, A. Shu, Che-Chi, C. M. Johnson, Y. N. Kaznessis, D. Ramkrishna, G. M. Dunny and Wei-Shou Hu, “Convergent transcription Confers a Bistable Switch in Enterococcus faecalis Conjugation,” PNAS,108, 9721-9726, 2011.Link

 

Franz, Andre, Hyun-Seob Song. D. Ramkrishna and A. Kienle, “Experimental and theoretical analysis of poly -hydroxybutyrate formation and consumption in Ralstonia eutropha,” Biochem. Eng. Jl., 55, 49-58, 2011.Link

 

Song, Hyun-Seob and D. Ramkrishna, “Cybernetic Models based on Lumped Elementary Modes Accurately Predict Metabolic Function of Multiple Strains,” Biotechnol. & Bioeng., 108, 127-140, 2011.Link

 

Chakraborty, J., Meenesh Singh, D. Ramkrishna, C. Borchert and K. Sundmacher, “Modeling of Morphology Distributions. Towards Crystals with Preferred Asymmetry,” Chem. Eng. Sci. 65, 5676-5686, 2010.Link

 

Noble, S. L., E. Sherer, R.E. Hannemann, D. Ramkrishna, T. Vik and A.E. Rundell, “Using adaptive model predictive control to customize maintenance therapy chemotherapeutic dosing for childhood acute lymphoblastic leukemia,” J. Theoretical Biol., 264, 990-1002, 2010.Link

 

Song, Hyun-Seob and D. Ramkrishna, “Prediction of Metabolic Function from Limited Data: Lumped Hybrid Cybernetic Modeling (L-HCM),” Biotechnol. & Bioeng., 106, 271-284, 2010.Link

 

Song, Hyun-Seob and D. Ramkrishna, “Issues with Increasing Bioethanol Productivity: A Model Directed Study,” Korean J. Chem. Eng. (Jae-Chun Hyun Special issue), 27, 576-586, 2010.Link

 

Wong, Wee Chin, Hyun-Seob Song, Jay H. Lee and D. Ramkrishna,“Hybrid Cybernetic Model-Based Simulation of Continuous Production of Lignocellulosic Ethanol: Rejecting Abruptly Changing Feed Conditions, Control Engineering Practice, 18, 177-189, 2010.Link

 

Chakraborty, J. and D. Ramkrishna, “On Identification of Markov Matrices of Milling Models,” Ind. Eng. Chem. (Kulkarni issue), 48, 9763-9771, 2009.Link

 

Song, Hyun-Seob and D. Ramkrishna, “When is Quasi-Steady-State Approximation Admissible in Metabolic Modeling? When Admissible, What Models are Desirable?” Ind. Eng. Chem. (Joshi issue), 48, 7976-7985, 2009.Link

 

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., 103, 984-102, 2009.Link

 

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.Link

 

Sherer, Eric, R. E. Hannemann, A. E. Rundell and D. Ramkrishna, “Application of Stochastic Equations of Population Balances to Sterilization Processes,” Chem. Eng, Sci.,64, 764-774, 2009.Link

 

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

 

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

 

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.Link

 

Sherer, Eric and D. Ramkrishna, “Stochastic Analysis of Death Processes,” Ind. Eng. Chem. (Nauman issue), 47, 3430-3437, 2008.Link

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

Bhole, M. R., J. B. Joshi and D. Ramkrishna, “Population Balance Modeling for Bubble Columns Operating in the Homogeneous Regime,” A.I.Ch.E. J., 53, 579-588, 2007.Link

 

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

 

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

 

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

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

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

 

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.Link

 

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.Link

 

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.Link

 

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. Link

 

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

 

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

 

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.Link

 

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.Link

 

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

 

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

 

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.Link

 

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.Link

 

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.Link

 

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

 

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

 

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.Link

 

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

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

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

 

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.Link

 

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.Link

 

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

 

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

 

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

 

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.Link

 

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.Link

 

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

 

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.Link

 

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

 

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.Link

 

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

 

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.Link

 

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

 

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.Link

 

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.Link

 

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

 

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

 

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

 

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

 

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.Link

 

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.Link

 

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

 

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

 

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.Link

 

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

 

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

 

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.Link

 

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.Link

 

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

 

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.Link

 

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.Link

 

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.Link

 

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

 

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.Link

 

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

 

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.Link

 

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.Link

 

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

 

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.Link

 

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.Link

 

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.Link

 

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

 

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

 

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.Link

 

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

 

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.Link

 

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

 

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.Link

 

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.Link

 

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

 

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

 

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

 

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

 

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

 

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

 

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

 

Tobin, T., R. Muralidhar, H.A. Wright, and D. Ramkrishna, “Determination of Coalescence Frequencies in Liquid-Liquid Dispersions: Effect of Drop Size Dependence,” Chem. Eng. Sci., 45, 3491-3504, 1990.Link

 

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

 

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.Link

 

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

 

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

 

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.Link

 

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

 

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.Link

 

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.Link

 

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

 

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

 

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

 

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

 

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.Link

 

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).Link

 

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

 

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.Link

 

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.Link

 

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.Link

 

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

 

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

 

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.Link

 

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.Link

 

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

 

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.Link

 

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

 

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.Link

 

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.Link

 

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.Link

 

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

 

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.Link

 

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.Link

 

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.Link

 

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

 

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

 

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

 

Agrawal, 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.Link

 

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.Link

 

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

 

Agrawal, 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.Link

 

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.Link

 

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

 

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

 

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

 

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

 

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

 

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.Link

 

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.Link

 

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

 

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

 

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

 

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.Link

 

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

 

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

 

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

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

Shah, B.H., D. Ramkrishna and J.D. Borwanker, "Simulation of Particulate Systems Using the Concept of Interval of Quiescence,” AIChE J., 23, 897-904, 1977.Link

 

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

 

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

 

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.Link

 

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

 

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

 

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

 

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.Link

 

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

 

Bajpai, R. K., A. Prokop and D. Ramkrishna, “Generalized Drop Size Distribution in Hydrocarbon Fermenters,” Folia Microbiologica, 20, 67-68, 1975.Link

 

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

 

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

 

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.Link

 

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

 

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

 

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

 

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

 

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

 

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.Link

 

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

 

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

 

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

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

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

 

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.Link

 

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

 

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

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

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.Link

 

 

Contact Information:

E-mail: ramkrish@ecn.purdue.edu

Phone: (765)-494-4066

Fax: (765)-494-0805

https://engineering.purdue.edu/~drops/