{"id":67,"date":"2018-11-06T04:02:26","date_gmt":"2018-11-06T04:02:26","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ramkiites\/?page_id=67"},"modified":"2025-04-17T01:34:37","modified_gmt":"2025-04-17T01:34:37","slug":"papers","status":"publish","type":"page","link":"https:\/\/engineering.purdue.edu\/ramkiites\/papers\/","title":{"rendered":"Papers"},"content":{"rendered":"

For Most Up-to-Date List: Google Scholar Profile<\/a><\/strong><\/p>\n

Wang, S., Ramkrishna, D. and Narsimhan, V., 2020. Exact sampling of polymer conformations using Brownian bridges. The Journal of Chemical Physics<\/i>, 153<\/i>(3), p.034901. Link<\/a><\/p>\n

Verma, P., Devaraj, J., Skiles, J.L. et al.<\/i> A Metabolomics Approach for Early Prediction of Vincristine-Induced Peripheral Neuropathy. Sci Rep<\/i> 10, <\/b>9659 (2020). Link<\/a><\/p>\n

Won, Y.Y. and Ramkrishna, D. Revised Formulation of Fick\u2019s, Fourier\u2019s, and Newton\u2019s Laws for Spatially Varying Linear Transport Coefficients. ACS Omega<\/i>, 4<\/i>(6), pp.11215-11222, 2019. Link<\/a><\/p>\n

Bulutoglu, P.S., Parks, C., Nere, N.K., Bordawekar, S. and Ramkrishna, D. Exploring New Crystal Structures of Glycine via Electric Field-Induced Structural Transformations with Molecular Dynamics Simulations. Processes<\/i>, 7<\/i>(5), p.268, 2019. Link<\/a><\/p>\n

Tran, V. and Ramkrishna, D. Simulating Stochastic Populations. Direct Averaging Methods. Processes<\/i>, 7<\/i>(3), p.132, 2019. Link<\/a><\/p>\n

Verma, P., Kienle, A., Flockerzi, D. and Ramkrishna, D. Using Bifurcation Theory for Exploring Pain. bioRxiv<\/i>, p.757187, 2019. Link<\/a><\/p>\n

Aboulmouna, L., Gupta, S., Maurya, M., DeVilbiss, F., Subramaniam, S. and Ramkrishna, D. A Cybernetic Approach to Modeling Lipid Metabolism in Mammalian Cells. Processes<\/i>, 6<\/i>(8), p.126, 2018. Link<\/a><\/p>\n

DeVilbiss, F., Mandli, A. and Ramkrishna, D. Consistency of cybernetic variables with gene expression profiles: A more rigorous test. Biotechnology progress<\/i>, 34<\/i>(4), pp.858-867, 2018. Link<\/a><\/p>\n

Williams, I.M., Valenzuela, F.A., Kahl, S.D., Ramkrishna, D., Mezo, A.R., Young, J.D., Wells, K.S. and Wasserman, D.H. Insulin exits skeletal muscle capillaries by fluid-phase transport. The Journal of clinical investigation<\/i>, 128<\/i>(2), pp.699-714, 2018. Link<\/a><\/p>\n

Song, H.S., Nelson, W.C., Lee, J.Y., Taylor, R.C., Henry, C.S., Beliaev, A.S., Ramkrishna, D. and Bernstein, H.C. Metabolic network modeling for computer\u2010aided design of microbial interactions. Emerging Areas in Bioengineering<\/i>, 2<\/i>, pp.793-801, 2018. Link<\/a><\/p>\n

Tran, V. and Ramkrishna, D. On facilitated computation of mesoscopic behavior of reaction\u2010diffusion systems. AIChE Journal<\/i>, 63<\/i>(12), pp.5258-5266, 2017. Link<\/a><\/p>\n

Pe\u00f1a, R., Burcham, C.L., Jarmer, D.J., Ramkrishna, D. and Nagy, Z.K. Modeling and optimization of spherical agglomeration in suspension through a coupled population balance model. Chemical Engineering Science<\/i>, 167<\/i>, pp.66-77, 2017. Link<\/a><\/p>\n

Parks, C., Huang, L., Wang, Y. and Ramkrishna, D. Accelerating multiple replica molecular dynamics simulations using the Intel\u00ae Xeon Phi™ coprocessor. Molecular Simulation<\/i>, 43<\/i>(9), pp.714-723, 2017. Link<\/a><\/p>\n

Parks, C., Koswara, A., Tung, H.H., Nere, N., Bordawekar, S., Nagy, Z.K. and Ramkrishna, D. Molecular dynamics electric field crystallization simulations of paracetamol produce a new polymorph. Crystal Growth & Design<\/i>, 17<\/i>(7), pp.3751-3765, 2017. Link<\/a><\/p>\n

Song, H.S., Goldberg, N., Mahajan, A. and Ramkrishna, D. Sequential computation of elementary modes and minimal cut sets in genome-scale metabolic networks using alternate integer linear programming. Bioinformatics<\/i>, 33<\/i>(15), pp.2345-2353, 2017. Link<\/a><\/p>\n

Parks, C., Koswara, A., Tung, H.H., Nere, N.K., Bordawekar, S., Nagy, Z.K. and Ramkrishna, D. Nanocrystal dissolution kinetics and solubility increase prediction from molecular dynamics: the case of \u03b1-, \u03b2-, and \u03b3-glycine. Molecular pharmaceutics<\/i>, 14<\/i>(4), pp.1023-1032 , 2017. Link<\/a><\/p>\n

Parks, C., Koswara, A., DeVilbiss, F., Tung, H.H., Nere, N.K., Bordawekar, S., Nagy, Z.K. and Ramkrishna, D.. Solubility curves and nucleation rates from molecular dynamics for polymorph prediction\u2013moving beyond lattice energy minimization. Physical Chemistry Chemical Physics<\/i>, 19<\/i>(7), pp.5285-5295, 2017. Link<\/a><\/p>\n

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<\/a><\/p>\n

Song, H.S. and Ramkrishna, D. Comment on \u201cMathematical modeling of unicellular microalgae and cyanobacteria metabolism for biofuel production\u201d by Baroukh et al [Curr. Opin. Biotechnol. 2015, 33: 198\u2013205]<\/em> (No. PNNL-SA-117715). Pacific Northwest National Laboratory (PNNL), Richland, WA (US) , DOI:  10.1016\/j.copbio.2016.02.026, 2016. Link<\/a><\/p>\n

Jayachandran, D., La\u00ednez-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<\/a><\/p>\n

Shu, Che-Chi, Jeremy Binagia, Vu Tran and Doraiswami Ramkrishna, \u201cOn Speeding up Stochastic Simulations by Parallelization of Random Number Generation\u201d Chem.Eng.Sci., doi:10.1016\/j.ces.2015.06.066, 137, 828-836, 2015. Link<\/a><\/p>\n

Chakaraborty, J., Jitendra Kumar, Mehakpreet Singh, Alan Mahoney and Doraiswami Ramkrishna, \u201cInverse Problems in Population Balances. Determination of Aggregation Kernel by Method of Weighted Residuals\u201d Ind.Eng.Chem.Res., DOI: 10.1021\/acs.iecr.5b01368, 54, 10530-10538, 2015.Link<\/a><\/p>\n

Singh Meenesh R. and Doraiswami Ramkrishna, \u201cDispersions in Crystal Nucleation and Growth Rates: Implications of Fluctuation in Supersaturation\u201d Chem. Eng. Sci., doi:10.1016\/j.ces.2013.11.047, 107, 102-113, 2014.Link<\/a><\/p>\n

Ramkrishna, Doraiswami and Meenesh R. Singh, (Invited Review): \u201cPopulation Balance Modeling. Current Status and Future Prospects\u201d Annual Reviews in Chemical and Biomolecular Engineering, DOI: 10.1146\/annurev-chembioeng-060713-040241, Vol.5, 123-146, 2014.Link<\/a><\/p>\n

Hwang, Hyuntae, Feng Qi, Chong Yuan, Xuebing Zhao, Doraiswami Ramkrishna, Dehua Liu, and Arvind Varma, \u201cLipase-Catalyzed Process for Biodiesel Production: Protein engineering and lipase production\u201d Biotech. & Bioeng., DOI: 10.1002\/bit.25162, 111, 639-653, 2014.Link<\/a><\/p>\n

Jayachandran, Usha Ramkrishna, Jodi Skiles, Jamie Renbarger and Doraiswami Ramkrishna, \u201cRevitalizing Personalized Medicine: Respecting Biomolecular Complexities beyond Gene Expression,\u201d CPT: Pharmacometrics & Systems Pharmacology, doi:10.1038\/psp.2014.6, 3, 1-11, 2014.Link<\/a><\/p>\n

Devaraj, J., A. E. Rundell, PhD; R. E. Hannemann, T. A Vik, and Doraiswami Ramkrishna, \u201cOptimal Chemotherapy for Leukemia: A Model-Based Strategy for Individualized Treatment\u201d PLoS ONE, doi:10.1371\/journal.pone.0109623, 9, e109623, 2014.Link<\/a><\/p>\n

Singh, Meenesh, Nandkishor Nere, Hsien-Hsin Tung, Samrat Mukherjee, Shailendra Bordawekar and Doraiswami Ramkrishna, \u201cMeasurement of Polar Plots of Crystal Dissolution Rates using Hot-Stage Microscopy. Some Further Insights on Dissolution Morphologies\u201d Crystal Growth and Design. DOI: 10.1021\/cg500939t, 14, 5647-5661, 2014.Link<\/a><\/p>\n

Ramkrishna, Doraiswami, Che-Chi Shu, and Vu Tran, \u201cNew “Tau-Leap” Strategy for Accelerated Stochastic Simulation,” Industrial & Engineering Chemistry Research. doi:10.1021\/ie502929q, 53, 18975-18981, 2014.Link<\/a><\/p>\n

Song, Hyun-Seob and Doraiswami Ramkrishna, \u201cComplex Nonlinear Behavior in Metabolic Processes,\u201d Processes. doi:10.3390\/pr1030263, 1, 263-278, 2013.Link<\/a><\/p>\n

Song, Hyun-Seob, Frank DeVilbiss and Doraiswami Ramkrishna, \u201cModeling Metabolic Systems. The Need for Dynamics, Current Opinion in Chemical Engineering, 2, 373-382, 2013.Link<\/a><\/p>\n

Ramkrishna, D., \u201cThe Neal Amundson Era. Rapid Evolution of Chemical Engineering Science,\u201d A.I.Ch.E. Special issue, 59, 3147-3157, 2013.Link<\/a><\/p>\n

Chatterjee, Anushree, Laura C. Cook, Che-Chi Shu, Doraiswami Ramkrishna, Gary M. Dunny and Wei-Shou Hu, \u201cAntagonistic self-sensing and mate-sensing signaling controls antibiotic-resistance transfer\u201d PNAS, 7086-7090, DOI: 10.1073\/pnas.1212256110, Published April 2013.Link<\/a><\/p>\n

Singh, Meenesh, Chakraborty, Jayanta; Nandkishor Nere, Hsien-Hsin Tung, Shailendra Bordawekar, and Doraiswami Ramkrishna, \u201cScreening Crystal Morphologies from Crystal Structure,\u201d Crystal Growth and Design, 13, 1390-1396, DOI:10.1021\/cg400009m Published April 2013.Link<\/a><\/p>\n

Singh, Meenesh R. and Doraiswami Ramkrishna, \u201cA Comprehensive Approach to Predicting Crystal Morphology Distributions with Population Balances\u201d Meenesh R. Singh,\u201d Crystal Growth and Design, 13, 1397-1411, DOI: 1021\/cg301851g Published April 2013.Link<\/a><\/p>\n

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<\/a><\/p>\n

Ramalingam, S., D. Ramkrishna and O. Basaran, \u201cFree Vibrations of a Spherical Drop Constrained at an Azimuth,\u201d Phys. Fluids, 25, Article Number: 082102 DOI: 10.1063\/1.4742339, 2012.Link<\/a><\/p>\n

Medvedev, G. A., Adam B. Starry, D. Ramkrishna and J. M. Caruthers, \u201cStochastic Model for Volume Relaxation in Glass Forming Materials: Local Specific Volume Model,\u201d Macromolecules, 45, 7237-7259, 2012.Link<\/a><\/p>\n

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<\/a><\/p>\n

Shu, Che-Chi, Doraiswami Ramkrishna, A. Chatterjee and Wei-Shou Hu, \u201cRole of Intracellular Stochasticity in Biofilm Growth. Insights from Population Balance Modeling,\u201d PLoS ONE, Published: Nov. 13, 2013, DOI: 10.1371\/journal.pone.0079196.Link<\/a><\/p>\n

Kim, Jin Il, Hyun-Seob Song, Sunil R. Sunkara, Arvind Lali and Doraiswami Ramkrishna, \u201cExacting Predictions by Cybernetic Model Confirmed Experimentally. Steady State Multiplicity in the Chemostat,\u201d Biotechnol. Progress, 28, 1160-1166, 2012.Link<\/a><\/p>\n

Sowbna, P. R. G. D. Yadav and D. Ramkrishna, \u201cProcess Modeling of Mandelic Acid from Benzaldehyde by Phase Transfer Catalysis,\u201d A.I.Ch.E. Jl., 58, 3799-3809 2012.Link<\/a><\/p>\n

Adler, Philipp, Hyun-Seob Song, Katharina Kastner, Doraiswami Ramkrishna and Benno Kunz, \u201cPrediction of dynamic metabolic behavior of Pediococcus pentosaceus producing lactic acid from lignocellulosic sugars,\u201d Biotechnol. Progress, 28, 623-635, 2012.Link<\/a><\/p>\n

Geng, Jun, Hyun-Seob Song, Jinqui Yuan and Doraiswami Ramkrishna, \u201cOn Enhancing Productivity of Bioethanol with Multiple Species,\u201d Biotechnol. & Bioeng., 109, 1508-1517, 2012.Link<\/a><\/p>\n

Ramkrishna, D. and Hyun-Seob Song, \u201cDynamic Models of Metabolism. A Review of the Cybernetic Approach,\u201d A.I.Ch.E. Jl.,58, 986-997, 2012.Link<\/a><\/p>\n

Song, Hyun-Seob and D. Ramkrishna, \u201cPrediction of dynamic behavior of mutant strains from limited wild-type data,\u201d Metabolic Engineering, 14, 69-80, 2012.Link<\/a><\/p>\n

Shu, Che-Chi, A. Chatterjee and Wei-Shou Hu, and Doraiswami Ramkrishna, \u201cModeling of Gene Regulatory Processes by Population Mediated Signaling. New Applications of Population Balances,\u201d Chem. Eng. Sci., 70, 188-199, 2012.Link<\/a><\/p>\n

Song, Hyun-Seob, Seung Jin Kim and D. Ramkrishna, \u201cSynergistic Optimal Integration of Continuous and Fed-Batch Reactors for Enhanced Productivity of Lignocellulosic Bioethanol,\u201d Ind. Eng. Chem. (Nigam issue), 52, 1690-1696, 2012.Link<\/a><\/p>\n

Shu, Che-Chi, Doraiswami Ramkrishna, A. Chatterjee and Wei-Shou Hu, \u201cBistability versus Bimodal Distributions in Gene Regulatory Processes from Population Balance Modeling,\u201d PLoS Computational Biology: e1002140. doi:10.1371\/journal.pcbi.1002140, 7, August 2011.Link<\/a><\/p>\n

Chakraborty, J. and Doraiswami Ramkrishna, \u201cPopulation 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<\/a><\/p>\n

Chatterjee, A. Shu, Che-Chi, C. M. Johnson, Y. N. Kaznessis, D. Ramkrishna, G. M. Dunny and Wei-Shou Hu, \u201cConvergent transcription Confers a Bistable Switch in Enterococcus faecalis Conjugation,\u201d PNAS,108, 9721-9726, 2011.Link<\/a><\/p>\n

Franz, Andre, Hyun-Seob Song. D. Ramkrishna and A. Kienle, \u201cExperimental and theoretical analysis of poly -hydroxybutyrate formation and consumption in Ralstonia eutropha,\u201d Biochem. Eng. Jl., 55, 49-58, 2011.Link<\/a><\/p>\n

Song, Hyun-Seob and D. Ramkrishna, \u201cCybernetic Models based on Lumped Elementary Modes Accurately Predict Metabolic Function of Multiple Strains,\u201d Biotechnol. & Bioeng., 108, 127-140, 2011.Link<\/a><\/p>\n

Chakraborty, J., Meenesh Singh, D. Ramkrishna, C. Borchert and K. Sundmacher, \u201cModeling of Morphology Distributions. Towards Crystals with Preferred Asymmetry,\u201d Chem. Eng. Sci. 65, 5676-5686, 2010.Link<\/a><\/p>\n

Noble, S. L., E. Sherer, R.E. Hannemann, D. Ramkrishna, T. Vik and A.E. Rundell, \u201cUsing adaptive model predictive control to customize maintenance therapy chemotherapeutic dosing for childhood acute lymphoblastic leukemia,\u201d J. Theoretical Biol., 264, 990-1002, 2010.Link<\/a><\/p>\n

Song, Hyun-Seob and D. Ramkrishna, \u201cPrediction of Metabolic Function from Limited Data: Lumped Hybrid Cybernetic Modeling (L-HCM),\u201d Biotechnol. & Bioeng., 106, 271-284, 2010.Link<\/a><\/p>\n

Song, Hyun-Seob and D. Ramkrishna, \u201cIssues with Increasing Bioethanol Productivity: A Model Directed Study,\u201d Korean J. Chem. Eng. (Jae-Chun Hyun Special issue), 27, 576-586, 2010.Link<\/a><\/p>\n

Wong, Wee Chin, Hyun-Seob Song, Jay H. Lee and D. Ramkrishna,\u201cHybrid Cybernetic Model-Based Simulation of Continuous Production of Lignocellulosic Ethanol: Rejecting Abruptly Changing Feed Conditions, Control Engineering Practice, 18, 177-189, 2010.Link<\/a><\/p>\n

Chakraborty, J. and D. Ramkrishna, \u201cOn Identification of Markov Matrices of Milling Models,\u201d Ind. Eng. Chem. (Kulkarni issue), 48, 9763-9771, 2009.Link<\/a><\/p>\n

Song, Hyun-Seob and D. Ramkrishna, \u201cWhen is Quasi-Steady-State Approximation Admissible in Metabolic Modeling? When Admissible, What Models are Desirable?\u201d Ind. Eng. Chem. (Joshi issue), 48, 7976-7985, 2009.Link<\/a><\/p>\n

Song, Hyun-Seob, J A. Morgan and D. Ramkrishna, \u201cSystematic Development of Hybrid Cybernetic Models: Application to Recombinant Yeast Co-consuming Glucose and Xylose,\u201d Biotechnol & Bioeng., 103, 984-102, 2009.Link<\/a><\/p>\n

Borchert, C., Nandkishor Nere, D. Ramkrishna, A. Voigt, and K. Sundmacher, \u201cOn the Prediction of Crystal Shape Distributions in a Steady State Continuous Crystallizer,\u201d Chem. Eng. Sci., 64, 686-696, 2009.Link<\/a><\/p>\n

Sherer, Eric, R. E. Hannemann, A. E. Rundell and D. Ramkrishna, \u201cApplication of Stochastic Equations of Population Balances to Sterilization Processes,\u201d Chem. Eng, Sci.,64, 764-774, 2009.Link<\/a><\/p>\n

Song, Hyun-Seob and Doraiswami Ramkrishna, \u201cReduction of a Set of Elementary Modes by Yield Analysis,\u201d Biotechnol & Bioeng., 102, 554-568, 2009.Link<\/a><\/p>\n

Ramkrishna, D. and Hyun-Seob Song, \u201cOn a Rationale for Monod\u2019s Biochemical Growth Kinetics,\u201d Ind. Eng.Chem. (Varma issue),47, 9090-9098, 2008.Link<\/a><\/p>\n

Kim, Jin Il, J. D. Varner, and D. Ramkrishna, \u201cA Hybrid Cybernetic Model of Anaerobic E. coli GJT001: Combination of Elementary Flux Modes and Cybernetic Models,\u201d Biotech. Prog., 24, 993-1006, 2008.Link<\/a><\/p>\n

Sherer, Eric and D. Ramkrishna, \u201cStochastic Analysis of Death Processes,\u201d Ind. Eng. Chem. (Nauman issue), 47, 3430-3437, 2008.Link<\/a><\/p>\n

Bhole, M. R., J. B. Joshi and D. Ramkrishna, \u201cCFD simulation of bubble columns incorporating population balance modeling,\u201d Chem Eng. Sci., 63, 2267-2282, 2008.Link<\/a><\/p>\n

Young, J. D., K. L. Henne, J. A, Morgan, A. E. Konopka and D. Ramkrishna, \u201cIntegrating Cybernetic Modeling with Pathway Analysis. A Dynamic Systems Level Description of Metabolic Control,\u201d Biotechnol & Bioeng., 100, 542-559, 2008.Link<\/a><\/p>\n

Sherer, E., A. E. Rundell, and R. E. Hannemann and D. Ramkrishna, \u201cDetermination of Age-Dependent Cell Cycle Transition Rates,\u201d Biotechnol & Bioeng., 99, 960-974, 2008.Link<\/a><\/p>\n

Nopens, Ingmar, Nandkishor Nere, Peter A. Vanrolleghem and Doraiswami Ramkrishna, \u201cSolving the inverse problem for aggregation in activated sludge flocculation using a population balance framework,\u201d Water Science and Technology, 56, 95-103, 2007.Link<\/a><\/p>\n

Sherer. E., R. E. Hannemann, A. Rundell, and D. Ramkrishna, \u201cEstimation of likely cancer cure using first and second order product densities of population balance models,\u201d Ann. Bioeng., 35, 903-915, 2007.Link<\/a><\/p>\n

Nere, Nandkishor, D. Ramkrishna, B. E. Parker and Pankaj Mohan, \u201cTransformation of Chord Length Distributions to Size Distributions for Non-Spherical Particles with Orientation Bias,\u201d Ind. Eng. Chem. (Sharma issue), 46 (10), 3041 -3047, 2007.Link<\/a><\/p>\n

Bhole, M. R., J. B. Joshi and D. Ramkrishna, \u201cPopulation Balance Modeling for Bubble Columns Operating in the Homogeneous Regime,\u201d A.I.Ch.E. J., 53, 579-588, 2007.Link<\/a><\/p>\n

Young, J. D. and D. Ramkrishna, \u201cOn the Matching & Proportional Laws of Cybernetic Models,\u201d Biotech.Progress, 23, 83-99, 2007.Link<\/a><\/p>\n

Ramkrishna, D. and Nere, Nandkishor, \u201cEvolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow Revisited,\u201d Ind. Eng. Chem, 45, 7673-.7678, 2006.Link<\/a><\/p>\n

Mahoney, A. and D. Ramkrishna, \u201cInverse Problems in Population Balances. Determination of Aggregation by Weighted Residuals,\u201d A.I.Ch.E. Jl., submitted.Link<\/a><\/p>\n

Sherer, E., Rundell, A. E., R. E. Hannemann and D. Ramkrishna, \u201cAnalysis of Resonant Chemotherapy in Leukemia Treatment via Multi-Staged Population Balance Models,\u201d J. Theoretical Biol., 240, 648-661, 2006.Link<\/a><\/p>\n

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<\/a><\/p>\n

Qiang Qin, and D. Ramkrishna \u201cThe Effect of Operating Conditions on the Dispersion State of Supported Metal Catalysts: A Model Study,\u201d Ind. Eng. Chem. Res., (Dudukovic issue), 44, 6466-6476, 2005.Link<\/a><\/p>\n

Nere, Nandkishor and D. Ramkrishna, \u201cEvolution of Drop Size Distributions in Fully Developed Turbulent Pipe Flow of a Liquid-Liquid Dispersion by Breakage,\u201d Ind. Eng. Chem., (Wasan issue), 44, 1187-1193, 2005.Link<\/a><\/p>\n

Namjoshi, A. and D. Ramkrishna, \u201cA Cybernetic Modeling Framework for Analysis of Metabolic Systems,\u201d Computers and Chemical Engineering, 29, 487-498, 2005.Link<\/a><\/p>\n

Pilon, L., A. G. Federov, D. Ramkrishna and R. Viskanta, \u201cBubble Transport in Three Dimensional Laminar Gravity-Driven Flow-Mathematical Formulation,\u201d J. Noncrystalline Solids, 336, 71-83, 2004.Link<\/a><\/p>\n

Young, J., Henne, K., Morgan, J., Konopka, A. E., and D. Ramkrishna, \u201cRational Design of Recombinant Organisms by the Cybernetic Modeling Approach,\u201d Chem.Eng.Sci., 59, 5041-5049, 2004.Link<\/a><\/p>\n

Qiang Qin, D. Ramkrishna \u201cModeling of Surface Structure of Supported Catalysts. Application to Deactivation of FT Reactors,\u201d Ind. Eng. Chem. Res., (Gavalas issue), 43, 2912 -2921, 2004.Link<\/a><\/p>\n

Kulkarni, A., D. Ramkrishna and J. B. Joshi, \u201cDetermination of Bubble Size Distributions by Laser\u2013Doppler Anemometry,\u201d A.I.Ch.E. Jl., 50, 3068-3084, 2004. Link<\/a><\/p>\n

Ramkrishna, D. and N. R. Amundson, \u201cMathematics in Chemical Engineering. A Fifty Year Introspection,\u201d A.I.Ch.E. Jl., 50, 1-16, 2004.Link<\/a><\/p>\n

Ramkrishna, D., \u201cOn Aggregating Populations,\u201d Ind.Eng.Chem. Res., (Shinnar special issue), 43, 441-448, 2004.Link<\/a><\/p>\n

Song, Hyun-Seob, Doraiswami Ramkrishna, Sinh Trinh and Harold Wright, \u201cOperating Strategies for Fischer-Tropsch Reactors. A Model-Directed Study,\u201d Korean J. Chem.Eng., 21, 308-317, 2004.Link<\/a><\/p>\n

Hamilton, R. A., Jennifer S. Curtis, and Doraiswami Ramkrishna, \u201cBeyond Log-Normal Distributions; A Hermite Spectral Method for Solving Population Balance Equations,\u201d A.I.Ch.E. Jl., 49, 2328-2343, 2003.Link<\/a><\/p>\n

Namjoshi, A., Kienle, A., & Ramkrishna, D. \u201cSteady-state multiplicity in bioreactors: bifurcation analysis of cybernetic models,\u201d Chem .Eng. Sc., 58, 793-800, 2003.Link<\/a><\/p>\n

Namjoshi, A., Wei-Shou Hu and Doraiswami Ramkrishna, \u201cUnveiling Steady State Multiplicity in Hybridoma Cultures: The Cybernetic Approach,\u201d Biotech. & Bioeng., 81, 80-91, 2003.Link<\/a><\/p>\n

Song, Hyun-Seob, Ramkrishna, D., Trinh, S., Espinoza, R. L. & Wright, H \u201cMultiplicity and Sensitivity Analysis of Fischer-Tropsch Bubble Column Slurry Reactors: Plug-Flow Gas and Well-Mixed Slurry Model,\u201d Chem. Eng. Sci., 58, 2759-2766, 2003.Link<\/a><\/p>\n

Song, Hyun-Seob, Doraiswami Ramkrishna, Sinh Trinh and Harold Wright, \u201cA Diagnostic Nonlinear Analysis of Fischer-Tropsch Synthesis in Stirred Tank Slurry Reactors,\u201d A.I.Ch.E. Jl., 49, 1803-1820, 2003.Link<\/a><\/p>\n

Lele, Tanmay, Jochen Lauterbach and Doraiswami Ramkrishna, \u201cA Framework for Dynamic Analysis of Physico-Chemical Processes on Catalytic Surfaces with application to CO Oxidation on Pt(1 0 0),\u201d A.I.Ch.E. Jl., 49, 2158-2172, 2003.Link<\/a><\/p>\n

Ramkrishna, D., \u201cOn Bioreactor Models for Control,\u201d Journal of Process Control, 13, 581-589, 2003.Link<\/a><\/p>\n

Mahoney, A. and Doraiswami Ramkrishna, “Efficient Solution of Population Balance Equations with Discontinuities by Finite Elements,” Chem. Eng .Sci., 57, 1107-1119, 2002.Link<\/a><\/p>\n

Mahoney, A., F. Doyle and D. Ramkrishna, “Inverse Problems in Population Balances: Growth and Nucleation from Dynamic Data,\u201d A.I.Ch.E. Jl., 48, 981-990, 2002.Link<\/a><\/p>\n

Ramkrishna, D. and A. Mahoney, “Population Balance Modeling. Promise for the Future,” Chem. Eng. Sci., (Invited Flagship paper), 57, 595-606, 2002.Link<\/a><\/p>\n

Namjoshi, A. and D. Ramkrishna, \u201cBifurcation Analysis of Cybernetic Models for Continuous Bioreactors with Mixed Substrate Feeds,\u201d Chem. Eng. Sci., (Mashelkar Festschrift issue), 56, 5593-5607, 2001.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Varner, J. and D. Ramkrishna, “Mathematical Models of Metabolic Pathways,” Current Opinion in Biotechnology, 10, 146-150, 1999.Link<\/a><\/p>\n

Cote, A., W. N. Delgass and D. Ramkrishna, \u201cEnhancement of selective conversion in spatially patterned reactors,\u201d Reaction Kinetics and the Development of Catalytic Process Studies in Surface Science and Catalysis,122, 199-206, 1999.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D. and J. Schell, “On Self-Similar Growth,” J. Biotechnology, 71, 255-258, 1999.Link<\/a><\/p>\n

Cote, A., W. N. Delgass and D. Ramkrishna, “Investigation of Spatially Patterned Catalytic Reactors,” Chem. Eng. Sci. (ISCRE issue), 54, 2627-2635, 1999.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Varner, J. and D. Ramkrishna, “Nonlinear Analysis of Cybernetic Models-I. Guidelines for Model Formulation,” J. Biotechnol., 71, 67-103, 1999.Link<\/a><\/p>\n

Levisauskas, D. and D. Ramkrishna, \u201cApplication of Cybernetic Models for Solving Biotechnological Problems. Case Study: Optimization of Substrate Degradation Process,\u201d Informacines Technologijos Ir Valdymas, 12, 7-11, 1999.Link<\/a><\/p>\n

Varner, J. and D. Ramkrishna, Metabolic Engineering From A Cybernetic Perspective: Aspartate Family of Amino Acids,” Metabolic Eng., 1, 88-116, 1999. Link<\/a><\/p>\n

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<\/a><\/p>\n

Varner, J. and D. Ramkrishna, “Metabolic Engineering from a Cybernetic Perspective-I. Theoretical Preliminaries,” Biotechnology Progress, 15, 407-425, 1999.Link<\/a><\/p>\n

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<\/a><\/p>\n

Varner, J. and D. Ramkrishna, “Application of Cybernetic Models to Metabolic Engineering. Investigation of Storage Pathways,” Biotech. & Bioeng., 58, 282-291, 1998.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Bandyopadhyaya, R., K. S. Gandhi, R. Kumar and D. Ramkrishna, “Modeling of Precipitation in Reverse Micellar Systems,” Langmuir, 13, 3610-3620, 1997.Link<\/a><\/p>\n

Trinh, S. and D. Ramkrishna, “Pattern Formation in Fixed Bed Catalytic Reactors – II. Pattern Classes,” Chem. Eng. Sci., 52, 3561-3578, 1997.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Trinh, S. and D. Ramkrishna, “Pattern Formation in Fixed Bed Catalytic Reactors – I.” Chem. Eng. Sci., 21, 4887-4901, 1996.Link<\/a><\/p>\n

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<\/a><\/p>\n

Kumar, S. and D. Ramkrishna, “On the Solution of Population Balance Equations by Discretization II,” Chem. Eng. Sci., 51, 1333-1342, 1996.Link<\/a><\/p>\n

Kumar, S. and D. Ramkrishna, “On the Solution of Population Balance Equations by Discretization I.” Chem. Eng. Sci., 51, 1311-1332, 1996.Link<\/a><\/p>\n

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<\/a><\/p>\n

Manjunath, S., K.S. Gandhi, R. Kumar, and D. Ramkrishna, “Precipitation in Small Systems – II. Mean Field Equations More Effective than Population Balance,\u201d Chem. Eng. Sci., 51, 4423-4436, 1996.Link<\/a><\/p>\n

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<\/a><\/p>\n

Sathyagal, A., G. Narsimhan, and D. Ramkrishna, \u201cDroplet breakage in stirred dispersions. Breakage functions from experimental drop-size distributions,\u201d Chem. Eng. Sci., 51, 1377-1391, 1996.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D., A. Sathyagal, and G. Narsimhan, “Analysis of Dispersed Phase Systems. Fresh Perspective,” AIChE J., 41, 35-44, 1995.Link<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D., “Toward a Self-Similar Theory of Microbial Populations,” Biotech. & Bioeng., 43, 138-148, 1994.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Trinh, S. and D. Ramkrishna, “Feasibility of Pattern Formation in Catalytic Reactors,” Chem. Eng. Sci, Vol. 49(1), 158-1599, 1994.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Wright, H. and D. Ramkrishna, “On the Upper Critical Dimension for Aggregation Processes,” Phys. Rev. E, 47, 3225-3230, 1993.Link<\/a><\/p>\n

Wright, H. and D. Ramkrishna, “Solution of Inverse Problems in Population Balances – I. Aggregation Kinetics,” Computers in Chem. Eng., 16, 1019-1038, 1992.Link<\/a><\/p>\n

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<\/a><\/p>\n

Tobin, T. and D. Ramkrishna, “Coalescence of Charged Droplets in Agitated Liquid-Liquid Dispersions,” AIChE J., 38, 1199-1205, 1992.Link<\/a><\/p>\n

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<\/a><\/p>\n

Wright, H., R. Muralidhar, and D. Ramkrishna, “Aggregation Frequencies of Fractal Clusters,” Phys.Rev. A, 46, 5072-5083, 1992. Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Baloo, S. and D. Ramkrishna, “Metabolic Regulation in Continuous Cultures of Bacteria-II,” Biotech. & Bioeng. 38, 1353-1363, 1991.Link<\/a><\/p>\n

Baloo, S. and D. Ramkrishna, “Metabolic Regulation in Continuous Cultures of Bacteria-I,” Biotech. & Bioeng. 38, 1337-1352, 1991.Link<\/a><\/p>\n

Alexander, Matthew L. and D. Ramkrishna, “Cybernetic Modeling of Iron-Limited Growth and Siderophore Production,” Biotech. & Bioeng., 38, 637-652, 1991.Link<\/a><\/p>\n

Alexander, M.L. and D. Ramkrishna, “Iron-Limited Growth and Siderophore Production,” by Eschericia coli, J. Appl. & Environmental Microbiology, under revision.Link<\/a><\/p>\n

Arce, P. and D. Ramkrishna, “Pattern Formation in Catalytic Reactors-I. Role of Fluid Mixing,” AIChE J., 37, 98-110, 1991.Link<\/a><\/p>\n

Straight, J.V. and D. Ramkrishna, “Complex Growth Dynamics in Batch Cultures. Experiments and Cybernetic Models,” Biotech. & Bioeng., 37, 895-909, 1991.Link<\/a><\/p>\n

Muralidhar, R., D. Ramkrishna, D. Jacobs and H. Nakanishi, “Anomalous Diffusion. A Dynamic Perspective,” Physica A, 167, 539-559, 1990.Link<\/a><\/p>\n

Tobin, T., R. Muralidhar, H.A. Wright, and D. Ramkrishna, \u201cDetermination of Coalescence Frequencies in Liquid-Liquid Dispersions: Effect of Drop Size Dependence,\u201d Chem. Eng. Sci., 45, 3491-3504, 1990.Link<\/a><\/p>\n

Wright, H.A., R. Muralidhar, T.G. Tobin, and D. Ramkrishna, “Inverse Problems of Aggregation Processes,” J. Stat. Phys., 61, 843-863, 1990.Link<\/a><\/p>\n

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<\/a><\/p>\n

Muralidhar, R. and D. Ramkrishna, “Inverse Problems in Agglomeration Kinetics – II. Non-homogeneous Kernels,” J. Colloid & Interface Sci. 131, 503-513, 1989.Link<\/a><\/p>\n

Ramkrishna, D. and P. Arce, “Can Pseudohomogeneous Reactor Models be Valid?” Chem. Eng. Sci., 44, 1949-66, 1989.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D. and P. Arce, “Self-Adjoint Operators of Transport in Interacting Solid-Fluid Systems – II,” Chem. Eng. Sci., 43, 933-944, 1988.Link<\/a><\/p>\n

Ramkrishna, D. and N.R. Amundson, “More on Oblique Derivative Boundary Value Problems,” Chem. Eng. Comm., 58, 397-411, 1987.Link<\/a><\/p>\n

Das, P.K., D. Ramkrishna and G. Narsimhan, “Effect of Mass Transfer on Droplet Break-up,” AIChE J., 33, 1899-1902, 1987.Link<\/a><\/p>\n

Ramkrishna, D., D.S. Kompala and G.T. Tsao, “Are Microbes Optimal Strategists?” Biotechnology Progress, 3, 121-126, 1987.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Muralidhar, R. and D. Ramkrishna, “Analysis of Coalescence in Turbulent Liquid-Liquid Dispersions,” I&EC Fundam., 25, 554-560, 1986.Link<\/a><\/p>\n

Arce, P. and D. Ramkrishna, “Self-Adjoint Operators of Transport in Interacting Solid-Fluid Systems,” Chem. Eng. Sci., 41, 1539-1548, 1986.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Muralidhar, R. and D. Ramkrishna, “An Inverse Problem in Agglomeration Kinetics,” J. Colloid & Interface Sci., 112, 348-361, 1986.Link<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D., “The Status of Population Balances,” Chem. Eng. Rev., 3, 49-95, 1985.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Kompala, D., D. Ramkrishna and G.T. Tsao, “Cybernetic Modelling of Microbial Growth on Multiple Substrates-II,” Biotech. & Bioeng., 26, 1272-1281, 1984.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Parulekar, S.J. and D. Ramkrishna, “Tubular Reactor Stability Revisited without Danckwerts Boundary Conditions,” Chem. Eng. Sci., 39, 455-469, 1984.Link<\/a><\/p>\n

Narsimhan, G., Nejfelt, G. and D. Ramkrishna, “Breakage Functions for Droplets in Agitated Liquid-Liquid Dispersions,” AIChE J., 30, 457-467, 1984.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D. and N.R. Amundson, “A Nonselfadjoint Problem in Heat Conduction,” J. Heat Transfer, 104, 185-190, 1982.Link<\/a><\/p>\n

Papoutsakis, E., and D. Ramkrishna, “Conjugated Graetz Problems. II. Fluid-Fluid Problems,” Chem. Eng. Sci., 36, 1393-1399, 1981.Link<\/a><\/p>\n

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<\/a><\/p>\n

Papoutsakis, E., D. Ramkrishna, “Heat Transfer in a Capillary Flow Emerging from a Reservoir,” J. of Heat Transfer, 103, 429-435, 1981.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Narsimhan, G., D. Ramkrishna and J.P. Gupta, “Analysis of Dropsize Distribution in Stirred Liquid-Liquid Dispersions,” AIChE J., 26, 991-1000, 1980.Link<\/a><\/p>\n

Papoutsakis, E., D. Ramkrishna and H.C. Lim, “The Extended Graetz Problem with Neumann Wall Boundary Conditions,” AIChE J., 26, 779-787, 1980.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D., “Normal Operators in Chemical Engineering,” Proceedings of the Second International Conference on Mathematical Modelling, Vol. I, 645-655, 1979.Link<\/a><\/p>\n

Ramkrishna, D., “Statistical Models of Cell Populations,” Advances in Biochemical Engineering, Ed. A. Fiechter and T.K. Ghose, vol. 11, 1-47, 1979.Link<\/a><\/p>\n

Feijoo, L., H.T. Davis and D. Ramkrishna, “Heat Transfer in Composite Solids,” J. Heat Transfer., 101, 137-143, 1979.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Shah, B.H., D. Ramkrishna and J.D. Borwanker, “Simulation of Particulate Systems Using the Concept of Interval of Quiescence,\u201d AIChE J., 23, 897-904, 1977.Link<\/a><\/p>\n

Bajpai, R.K., D. Ramkrishna and A. Prokop, “Effect of Drop-Interactions on Hydrocarbon Fermentation Yields,” Biotech. & Bioeng., XIX, 1761-1772, 1977.Link<\/a><\/p>\n

Sheth, M., D. Ramkrishna and A.G. Fredrickson, “Stochastic Models of Algal Photosynthesis in Turbulent Channel Flow,” AIChE J., 23, 794-804, 1977.Link<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D., “Statistical Foundation of Segregated Models of Cell Populations,” paper presented at 70th Annual Meeting of AIChE, New York, 1977.Link<\/a><\/p>\n

Singh, P.N. and D. Ramkrishna, “Solution of Population Balance Equations,” Computers and Chemical Engineering, 1, 23-31, 1977.Link<\/a><\/p>\n

Ramkrishna, D., B.H. Shah and J.D. Borwanker, “Analysis of Population Balance – III. Agglomerating Populations,” Chem. Eng. Sci., 31, 435-442, 1976.Link<\/a><\/p>\n

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<\/a><\/p>\n

Shah, B.H., J.D. Borwanker and D. Ramkrishna, “Monte Carlo Simulation of Microbial Population Growth,” Math. Biosci., 31, 1-23, 1976.Link<\/a><\/p>\n

Bajpai, R. K., A. Prokop and D. Ramkrishna, \u201cGeneralized Drop Size Distribution in Hydrocarbon Fermenters,\u201d Folia Microbiologica, 20, 67-68, 1975.Link<\/a><\/p>\n

Bajpai, R.K., D. Ramkrishna and A. Prokop, “Coalescence Frequencies in Waldhof-Agitated Systems,” Biotech. & Bioeng., XVII, 1697-1703, 1975.Link<\/a><\/p>\n

Bajpai, R.K., A. Prokop and D. Ramkrishna, “Dispersions in Hydrocarbon Fermentation. A Retrospective Study,” Biotech. & Bioeng., 17, 541-556, 1975.Link<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D. and N.R. Amundson, “On Vibration Problems with Discretely Distributed Loads – A. Rigorous Formalism,” J. Appl. Mechanics, 41, 1106-112, 1974.Link<\/a><\/p>\n

Ramkrishna, D. and J.D. Borwanker, “A Puristic Analysis of Population Balance – II,” Chem. Eng. Sci., 29, 1711-1721, 1974.Link<\/a><\/p>\n

Ramkrishna, D. and N.R. Amundson, “Stirred Pots, Tubular Reactors, and Self Adjoint Operators,” Chem. Eng. Sci., 29, 1353-1361, 1974.Link<\/a><\/p>\n

Ramkrishna, D. and N.R. Amundson, “Transport in Composite Materials: Reduction to a Self Adjoint Formalism,” Chem. Eng. Sci., 29, 1457-1464, 1974.Link<\/a><\/p>\n

Rao, N.J., D. Ramkrishna and J.D. Borwanker, “Stochastic Simulation of Stirred Tank Reactors,” Chem. Eng. Sci., 29, 1193-1204, 1974.Link<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D., “On Droplet Breakage Phenomena in Liquid-Liquid Dispersions,” Chem. Eng. Sci., 29, 987-992, 1974.Link<\/a><\/p>\n

Ramkrishna, D. and J.D. Borwanker, “A Puristic Analysis of Population Balance – I,” Chem. Eng. Sci., 28, 1423-1435, 1973.Link<\/a><\/p>\n

Ramkrishna, D., “On Problem-Specific Polynomials,” Chem. Eng. Sci., 28, 1362-1365, 1973.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

Ramkrishna, D., “Solution of Population Balance Equations,” Chem. Eng. Sci., 26, 1134-1136, 1971.Link<\/a><\/p>\n

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<\/a><\/p>\n

Subramanian, G., and D. Ramkrishna, “On the Solution of Statistical Models of Cell Populations,” Math. Biosci., 10, 1-23, 1971.Link<\/a><\/p>\n

Fredrickson, A.G., D. Ramkrishna and H.M. Tsuchiya, “Statistics and Dynamics of Procaryotic Cell Populations,” Math. Biosci., 1, 327-374, 1967.Link<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n

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<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

For Most Up-to-Date List: Google Scholar Profile Wang, S., Ramkrishna, D. and Narsimhan, V., 2020. Exact sampling of polymer conformations using Brownian bridges. The Journal of…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ngg_post_thumbnail":0},"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/pages\/67"}],"collection":[{"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/comments?post=67"}],"version-history":[{"count":14,"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/pages\/67\/revisions"}],"predecessor-version":[{"id":1482,"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/pages\/67\/revisions\/1482"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ramkiites\/wp-json\/wp\/v2\/media?parent=67"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}