Sharon R. Lubkin


updated Nov 2008

Tissues, Development, and Morphogenesis

1.      R.H. Rand, S.R. Lubkin, and H.C. Howland, “Analytical Model of Corneal Surgery” J Biomech Eng 113:239-241 (1991) link

2.      H.C. Howland, R.H. Rand, and S.R. Lubkin, “A Thin Shell Model of the Cornea and its Applications to Corneal Surgery” Refractive and Corneal Surgery 8:183-186 (1992) link

3.      S. R. Lubkin and J. D. Murray, “A Mechanism for Early Branching in Lung Morphogenesis” J Math Biol 34: 77-94 (1995) link

4.      P. M. Kulesa, G. C. Cruywagen, S. R. Lubkin, P. K. Maini, J. Sneyd, and J. D. Murray, “Modelling the Spatial Patterning of the Teeth Primordia in the Lower Jaw of Alligator mississippiensisJ Biol Systems 3(4): 975-985 (1995) link

5.      P. M. Kulesa, G. C. Cruywagen, S. R. Lubkin, M. W. J. Ferguson, and J. D. Murray, “On a Model Mechanism for the Spatial Patterning of Teeth Primordia in the Alligator” J Theor Biol 180(4): 287-296 (1996) link

6.      D. Manoussaki, S. R. Lubkin, R. B. Vernon, and J. D. Murray, “A Mechanical Model for the Formation of Vascular Networks in VitroActa Biotheoretica 44: 271-282 (1996) link

7.      S. R. Lubkin, “Mechanisms for Branching Morphogenesis in Lungs” in Dynamics of Cell and Tissue Motion, W. Alt, A. Deutsch, and G. Dunn, eds. Birkhäuser Verlag, pp. 229-234 (1997)

8.      S. R. Lubkin and L. V. Beloussov, eds. “Dynamics Within Tissues - Stresses, Growth, and Morphogenesis” Ch. IV of Dynamics of Cell and Tissue Motion, W. Alt, A. Deutsch, and G. Dunn, eds. Birkhäuser Verlag, pp. 211-284 (1997)

9.      S. R. Lubkin, “On Pattern Formation in Reptilian Dentition” J Theor Biol 186:145-157 (1997)

10.  J. D. Murray, D. Manoussaki, S. R. Lubkin, and R. Vernon “A Mechanical Theory of in Vitro Vascular Network Formation” in C. D. Little, V. Mironov, and E. H. Sage, eds.,Vascular Morphogenesis: In Vivo,In Vitro, In Mente, Birkhäuser (Series in Cardiovascular Molecular Morphogenesis) pp. 173-188 (1998)

11.  T. L. Jackson, S. R. Lubkin, N. O. Siemers, D. E. Kerr, P. D. Senter, and J. D. Murray, “Mathematical and Experimental Analysis of Localization of Anti-Tumour Antibody-Enzyme Conjugates” Brit J Cancer 80(11):1747-1753 (1999)

12.  T. L. Jackson, S. R. Lubkin, J. D. Murray, “Theoretical Analysis of Conjugate Localization in Two-Step Cancer Chemotherapy” J Math Biol 39(4):353-376 (1999) link

13.  Y. Nakanishi, Y. Hieda, W. V. Cardoso, S. R. Lubkin, and C. W. Daniel, “Epithelial Branching”, Encyclopedia of Life Sciences, Nature Publishing Group/Macmillan (2001)

14.  S. R. Lubkin and T. Jackson, “Multiphase Mechanics of Capsule Formation in Tumors” J Biomech Eng 124: 237-243 (2002) link

15.  S. R. Lubkin and Z. Li, “Force and Deformation on Branching Rudiments: Cleaving Between Hypotheses” Biomechanics and Modeling in Mechanobiology, 1(1):5-16 (2002) [first article in first issue of journal] link

16.  Rolf A. Brekken, Pauli Puolakkainen, Gail Workman, David Graves, Sharon R. Lubkin, & E. Helene Sage, “Enhanced growth of tumors in SPARC-null mice is associated with changes in the extracellular matrix” J Clin Invest 111:487-495 (2003) link

17.  Sharon R. Lubkin, Sarah E. Funk, and E. Helene Sage, “Quantifying vasculature: New measures applied to arterial trees in the quail chorioallantoic membrane”,  J Theor Medicine 6(3):173-180 (2005) link

18.  Sharon R. Lubkin and Xiaohai Wan, “Optimizing detection of tissue anisotropy by fluorescence recovery after photobleaching” Bull Math Biol 68(8):1873-1891 (2006) link

19.  Sharon R. Lubkin, “Developmental biology: branching morphogenesis” in Complex Systems Science in BioMedicine, T. S. Deisboeck, J. Y. Kresh, and T. B. Kepler, eds., Springer pp. 357-374 (2006)

20.  SR Lubkin, “Branched organs: Mechanics of morphogenesis by multiple mechanisms” Current Topics in Developmental Biology, Vol. 81, pp. 249-268, S Schnell, PK Maini, SA Newman, T Newman, Eds., Academic Press (2007) link

21.  X Wan, Z Li, SR Lubkin, “Mechanics of mesenchymal contribution to clefting force in branching morphogenesis” Biomechanics and Modeling in Mechanobiology 7(5):417-426 (2008) link

22. Backes TM, Latterman R, Small SA, Mattis S, Pauley G, Reilly E, Lubkin SR. Convergent extension by intercalation without mediolaterally fixed cell motion. J Theor Biol. 2008 in press link


23.  R. Tyson, S. R. Lubkin, and J. D. Murray, “Model and Analysis of Chemotactic Bacterial Patterns in a Liquid Medium” J Math Biol 38(4):359-375 (1999) link

24.  R. Tyson, S. R. Lubkin, and J. D. Murray, “A Minimal Mechanism of Bacterial Pattern Formation” Proc Roy Soc London B 266:299-304 (1999)

25.  D. P. Dougherty, F. Breidt, R. F. McFeeters, and S. R. Lubkin, “An Energy-Based Dynamic Model for Variable Temperature Vegetable Fermentation by Lactococcus lactisApplied and Environmental Microbiology 2468-2478 (2002) link

26.  P. Mudgal, F. Breidt Jr., S. R.  Lubkin, and K. P. Sandeep, “Quantifying the Significance of Phage Attack on Starter Cultures: A Mechanistic Model for the Population Dynamics of Phage and Hosts Isolated from Fermenting Sauerkraut” Applied and Environmental Microbiology 72(6):3908-3915 (2006) link

27.  D. P. Dougherty, E. R. da Conceicao Neta,  R. F. McFeeters, S. R. Lubkin, F. Breidt, “Semi-mechanistic partial buffer approach to modeling pH, the buffer properties, and the distribution of ionic species in complex solutions” Journal of Agricultural and Food Chemistry 54(16):6021-6029 (2006)

Mathematical Biology, Miscellaneous

28.  S.R. Lubkin, “Unidirectional Waves on Rings: Models for Chiral Preference of Circumnutating Plants” Bull Math Biol 56(5):795-810 (1994) link

29.  S.R. Lubkin, “Unidirectional Waves on Rings: Models for Chiral Preference of Circumnu­tating Plants” Differential Equations and their Applications to Biology and Industry, M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, and H. Thieme, eds., 319-326, World Scientific (1996)

30.  S. R. Lubkin, R. G. Gullberg, B. K. Logan, P. K. Maini, and J. D. Murray, “Simple vs. Sophisticated Interpretation of Breath Alcohol Exhalation Profiles” Alcohol and Alcoholism 31(1): 61-67 (1996) link

31.  S. R. Lubkin, J. Romatowski, M. Zhu, P. M. Kulesa, and K. A. J. White, “Evaluation of Feline Leukemia Virus Control Measures” J Theor Biol 178: 53-60 (1996) link

32.  J. Romatowski and S. R. Lubkin, “Use of an Epidemiologic Model to Evaluate Feline Leukemia Virus Control Measures” Feline Practice 25(4):6-11 (1997)

33.  J. D. Murray, J. Cook, R. Tyson, S. R. Lubkin, “Spatial Pattern Formation in Biology: I. Dermal Wound Healing II. Bacterial Patterns” J Franklin Inst, 335B(2):303- 332 (1998) link

Modeling in the Social Sciences

34.  S. Lubkin and C. Castillo-Chavez, “A Pair Formation Approach to Modeling Inheritance of Social Traits” Proceedings of the First World Congress of Nonlinear Analysts, Tampa, FL., August 19-26, 1992, V. Lakshmikantham, ed., 3228-3234 (1996)

35.  S. Lubkin, S.-F. Hsu Schmitz, and C. Castillo-Chavez, “A Framework for Modeling Inherit­ance of Social Traits” Mathematical Population Dynamics: Analysis of Heterogeneity, Vol. One: Theory of Epidemics, O. Arino, D. E. Axelrod, M. Kimmel, and M. Langlais, eds., pp. 131-146, Wuerz Publishing (1995)

36.  A.F. Shapiro, J. Gottman, S. R. Lubkin, C. Swanson, P. Burgess, and J. D. Murray, “The Transfer of Marital Conflict to the Developing Infant: Examining Dynamics within the Father- Mother-Baby Triad and the Roots of Emotion Regulation” technical report

37.  G. R. Hess, SS Daley, BK Dennison, SR Lubkin, RP McGuinn, VZ Morin, KM Potter, RE Savage, WG Shelton, CM Snow, BM Wrege, “Just What Is Sprawl, Anyway?” Carolina Planning, Summer 2001

Applied Mathematics

38.  S.R. Lubkin and R.H. Rand, “Oscillatory Reaction-Diffusion Equations on Rings” J Math Biol 32: 617-632 (1994) link

39.  Z. Li and S. R. Lubkin, “Numerical Analysis of Interfacial Stokes Flow with Discontinuous Viscosity and Nonlinear Surface Tension” Int J Numerical Meth Fluids 37:525-540 (2001) link

40.  Z Li, K Ito, X Wan, SR Lubkin, “An augmented approach for pressure boundary condition in a stationary Stokes Flow” Communications in Computational Physics 1(5):874-885 (2006)

41.  X. Wan, Z. Li, and S. R. Lubkin, “An augmented immersed interface-level set method for Stokes equations with discontinuous viscosity” Electronic Journal of Differential Equations, Conf 15:193-210 (2007)

42.  Q Jiang, Z Li, SR Lubkin, “Theoretical and numerical analysis for a fluid mixture model of tissue deformations” Communications in Computational Physics, in press

Other Publications

a.      S. R. Lubkin, review of Phyllotaxis: A Systemic Study in Plant Morphogenesis by R. Jean, Bull Math Biol 57(2):377-379 (1995)

b.      S. Lubkin, “Biomathematics” in Mathematics Education: An Encyclopedia, L. S. Grinstein and S. I. Lipsey, editors, Palmer Press/Taylor & Francis (2001)

c.      S. R. Lubkin, review of Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students by Bard Ermentrout, SIAM Review 45(1):150- 152 (2003)

d.   Li, Zhilin, Lubkin, Sharon R., Olufsen, Mette S., Smith, Ralph C."Thirteenth Industrial Mathematical and Statistical Modeling Workshop for graduate students" , Center for Research in Scientific Computation technical report CRSC-TR07-20 (2007)