Sharon R. Lubkin

Publications (updated September 2007)

Tissues, Development, and Morphogenesis

1.      R.H. Rand, S.R. Lubkin, and H.C. Howland, ÒAnalytical Model of Corneal SurgeryÓ J Biomech Eng 113:239-241 (1991)

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

3.      S. R. Lubkin and J. D. Murray, ÒA Mechanism for Early Branching in Lung MorphogenesisÓ J Math Biol 34: 77-94 (1995)

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

5.      P. M. Kulesa, G. C. Cruywagen, S. R. Lubkin, M. W. J. Ferguson, and J. D. Murray, ÒModelling the Spatial Patterning of Teeth Primordia in the AlligatorÓ J Theor Biol 180: 287-296 (1996)

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

7.      S. R. Lubkin, ÒMechanisms for Branching Morphogenesis in LungsÓ in Dynamics of Cell and Tissue Motion, W. Alt, A. Deutsch, and G. Dunn, eds. BirkhŠuser Verlag, pp. 229-234 (1997)

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

9.      S. R. Lubkin, ÒOn Pattern Formation in Reptilian DentitionÓ J Theor Biol 186:145-157 (1997)

10.  J. D. Murray, D. Manoussaki, S. R. Lubkin, and R. Vernon ÒA Mechanical Theory of in Vitro Vascular Network FormationÓ in C. D. Little, V. Mironov, and E. H. Sage, eds., Vascular Morphogenesis: In Vivo, In Vitro, In Mente, BirkhŠuser (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, ÒMathematical and Experimental Analysis of Localization of Anti-Tumour Antibody-Enzyme ConjugatesÓ Brit J Cancer 80(11):1747-1753 (1999)

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

13.  Y. Nakanishi, Y. Hieda, W. V. Cardoso, S. R. Lubkin, and C. W. Daniel, ÒEpithelial BranchingÓ, Encyclopedia of Life Sciences, Nature Publishing Group/Macmillan (2001), http://www.els.net/

14.  S. R. Lubkin and T. Jackson, ÒMultiphase Mechanics of Capsule Formation in TumorsÓ J Biomech Eng 124: 237-243 (2002)

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

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

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

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

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

20.  X Wan, Z Li, SR Lubkin, ÒMechanics of mesenchymal contribution to clefting force in branching morphogenesisÓ Biomechanics and Modeling in Mechanobiology, in press

21.  SR Lubkin, ÒBranched organs: Mechanics of morphogenesis by multiple mechanismsÓ Current Topics in Developmental Biology, S Schnell, PK Maini, SA Newman, T Newman, Eds., Academic Press, in press

Microbiology

22.  R. Tyson, S. R. Lubkin, and J. D. Murray, ÒModel and Analysis of Chemotactic Bacterial Patterns in a Liquid MediumÓ J Math Biol 38(4):359-375 (1999)

23.  R. Tyson, S. R. Lubkin, and J. D. Murray, ÒA Minimal Mechanism of Bacterial Pattern FormationÓ Proc Roy Soc London B 266:299-304 (1999)

24.  D. P. Dougherty, F. Breidt, R. F. McFeeters, and S. R. Lubkin, ÒAn Energy-Based Dynamic Model for Variable Temperature Vegetable Fermentation by Lactococcus lactisÓ Applied and Environmental Microbiology 2468-2478 (2002)

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

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

Mathematical Biology, Miscellaneous

27.  S.R. Lubkin, ÒUnidirectional Waves on Rings: Models for Chiral Preference of Circumnu­tating PlantsÓ Bull Math Biol 56(5):795-810 (1994)

28.  S.R. Lubkin, ÒUnidirectional Waves on Rings: Models for Chiral Preference of Circumnu­tating PlantsÓ 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)

29.  S. R. Lubkin, R. G. Gullberg, B. K. Logan, P. K. Maini, and J. D. Murray, ÒSimple vs. Sophisticated Interpretation of Breath Alcohol Exhalation ProfilesÓ Alcohol and Alcoholism 31(1): 61-67 (1996)

30.  S. R. Lubkin, J. Romatowski, M. Zhu, P. M. Kulesa, and K. A. J. White, ÒEvaluation of Feline Leukemia Virus Control MeasuresÓ J Theor Biol 178: 53-60 (1996)

31.  J. Romatowski and S. R. Lubkin, ÒUse of an Epidemiologic Model to Evaluate Feline Leukemia Virus Control MeasuresÓ Feline Practice 25(4):6-11 (1997)

32.  J. D. Murray, J. Cook, R. Tyson, S. R. Lubkin, ÒSpatial Pattern Formation in Biology: I. Dermal Wound Healing II. Bacterial PatternsÓ J Franklin Inst, 335B(2):303- 332 (1998)

Modeling in the Social Sciences

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

34.  S. Lubkin, S.-F. Hsu Schmitz, and C. Castillo-Chavez, ÒA Framework for Modeling Inherit­ance of Social TraitsÓ 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)

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

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

Applied Mathematics

37.  S.R. Lubkin and R.H. Rand, ÒOscillatory Reaction-Diffusion Equations on RingsÓ J Math Biol 32: 617-632 (1994)

38.  Z. Li and S. R. Lubkin, ÒNumerical Analysis of Interfacial Stokes Flow with Discontinuous Viscosity and Nonlinear Surface TensionÓ Int J Numerical Meth Fluids 37:525-540 (2001)

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

40.  X. Wan, Z. Li, and S. R. Lubkin, ÒAn augmented immersed interface-level set method for Stokes equations with discontinuous viscosityÓ Electronic Journal of Differential Equations, in press

41.  Q Jiang, Z Li, SR Lubkin, ÒTheoretical and numerical analysis for a fluid mixture model of tissue deformationsÓ Springer Lecture Notes in Computer Sciences, 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, ÒBiomathematicsÓ 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)