Publications

1. APC mutations in human colon lead to decreased neuroendocrine maturation of ALDH+ stem cells that alters GLP-2 and SST feedback signaling: Clue to a link between WNT and retinoic acid signalling in colon cancer development. (Tao Zhang, Koree Ahn, Brooks Emerick, Shirin R. Modarai, Lynn M. Opdenaker, Juan Palazzo, Gilberto Schleiniger, Jeremy Z. Fields,  and Bruce M. Boman) PLOS ONE, https://doi.org/10.1371/journal.pone.0239601, 2020.
2. Geometric branching patterns based on p-Fibonacci sequences: self-similarity across different degrees of branching and multiple dimensions. (Bruce M. Boman, Yihan Ye, Keith Decker, Christopher Raymond, and Gilberto Schleiniger) Fibonacci Quarterly, Vol. 57(5), 29–41, 2019.
3. Multi-scale modeling of APC and β-catenin regulation in the human colonic crypt. (Brooks Emerick, Gilberto Schleiniger and Bruce M. Boman) J. Math. Biol.,Volume 76, Issue 7, 1797–1830, doi=10.1007/s00285-017-1204-8, 2018.
4. Why do Fibonacci numbers appear in patterns of growth in nature? A model for tissue renewal based on asymmetric cell division. (B. M. Boman, T. Dinh, K. Decker, B. Emerick, C. Raymond, and G. Schleiniger) Fibonacci Quarterly, Vol. 55(5), 30–41, 2017.
5. A kinetic model to study the regulation of β-catenin, APC, and Axin in the human colonic crypt. (Brooks Emerick, Gilberto Schleiniger and Bruce M. Boman) J. Math. Biol.,Volume 75, Issue 5, 1171–1202, doi=10.1007/s00285-017-1112-y, 2017.
6. Investigation of Normal Colonic Crypt Behaviors Through Agent-Based Simulations. (Matthew Saponaro, Keith Decker, Bruce Boman and Gilberto Schleiniger) SpringSim (ADS) 2013:10, 2013.
7. Characterization of the American Put Option Using Convexity. (D. Xie, D. Edwards, G. Schleiniger and Q. Zhu), Applied Mathematical Finance, Volume 18, no. 4, 353–365, 2011.
8. An Asymptotic Method to a Financial Optimization Problem. (D. Xie, D. Edwards and G. Schleiniger), in Advances in Machine Learning and Data Analysis, Amouzegar, Mahyar A. (Ed.), Springer 2010.
9. Approximate Formulas for Zero-Coupon Bonds. (F. Tourrucoo, P. S. Hagan and G. Schleiniger), Applied Mathematical Finance, Volume 14, issue 3, 207–226, July 2007.
10. Characterizing Molecular Diffusion in the Lens Capsule, Proceedings of The Twenty Third Annual Workshop on Mathematical Problems in Industry (A. Anthony et al), June 2007.
11. Mathematical Analysis of Viscometric (Polymer) Flow Fields in Capillaries: Taylor Dispersion Revisited. (L. P. Cook, E. Nwankwo, G. Schleiniger and B. Wood), J. of Engineering Mathematics, Volume 45, Issue 3–4, 269–282, 2003.
12. Rapid, Unambiguous Polymer Characterization by Flow-Referenced Capillary Viscometry. (L. P. Cook, E. Nwankwo, G. Schleiniger and B. Wood), SIAM Journal on Applied Math, Volume 62, number 5, 1657–1676,  doi.org/10.1137/S0036139901390076, 2002.
13. Multi-Name Credit Derivatives, Proceedings of The Seventeenth Annual Workshop on Mathematical Problems in Industry (D. Edwards et al), June 2001.
14. Options on Baskets, Proceedings of The Sixteenth Annual Workshop on Mathematical Problems in Industry (D. Edwards et al), June 2000.
15. Sonic and subsonic axisymmetric nozzle flows. (L. P. Cook, E. Newman, S. Rimbey and G. Schleiniger), SIAM Journal on Applied Math, Volume 59, number 5, 1812–1824, doi.org/10.1137/S0036139997327356,1999.
16. The Dynamics of a Roll Press Nip, Proceedings of The Fifteenth Annual Workshop on Mathematical Problems in Industry (A. Fitt et al), June 1999.
17. Analysis of a glancing shock moving past a wedge. (J.D. Cole, L. P. Cook and G. Schleiniger), Proceedings of 2nd AIAA Theoretical Fluid Mechanics Meeting, June 1998, Albuquerque, NM.
18. Unsteady transonic flow: flow about a suddenly deflected wedge. (J.D. Cole, L. P. Cook and G. Schleiniger), AIAA Journal, Volume 35, number 7, 1179-1186, 1997.
19. An unsteady transonic flow. (J. D. Cole, L. P. Cook and G. Schleiniger), ZAMM, volume 76, Supplement 4, 525-530,1996.
20. Some axisymmetric transonic flows. (L. P. Cook and G. Schleiniger), Advances in Analytical Methods in Modeling of Aerodynamic Flows, Walker, Barnett and Smith (eds.), AIAA, volume 27, 173–176, 1994.
21. Choked wind-tunnel flow: asymptotics and numerics. (L.P. Cook and G. Schleiniger) in Transonic Aerodynamics: Problems in Asymptotic Theory, Frontiers in Applied Mathematics, Volume 12, L.P. Cook (ed.), SIAM, 1993.
22. Viscoelastic Fluid flow: critical parameters and asymptotics. (L.P. Cook, D.O. Olagunju and G. Schleiniger) in Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters, H.G. Kaper and M. Garbey (eds.), Kluwer Academic Publishers, 1993.
23. A remark on the Giesekus viscoelastic fluid. (G. Schleiniger and R.J. Weinacht) J. of Rheology Volume 35, Issue 6, 1157–1170, 1991.
24. The inlet layer in the flow of viscoelastic fluids. (L.P. Cook and G. Schleiniger) J. Non- Newtonian Fluid Mech. Volume 40, Issue 3, 307–321, 1991.
25. Steady Poiseuille flows for a Giesekus fluid. (G. Schleiniger and R.J. Weinacht) J. Non- Newtonian Fluid Mech. Volume 40, Issue 1, 79–102, 1991.
26. Composite type, change of type, and degeneracy in first order systems with applications to viscoelastic fluid flows. (L.P. Cook, G. Schleiniger and R.J. Weinacht) in Nonlinear Evolution Equations that Change Type, The IMA Volumes in Mathematics and Its Applications, Volume 27, B.L. Keyfitz and M. Shearer (eds.), 32-46, Springer-Verlag, 1990.
27. Embedded hyperbolic regions in a nonlinear model for viscoelastic flow. (G. Schleiniger, M.C. Calderer and L.P. Cook) in Current Progress in Hyperbolic Systems: Riemann Problems and Computations, Contemporary Mathematics 100, 1989.
28. An analysis of the Bird-DeAguiar model for polymer melts. (M.C. Calderer, L.P. Cook and G. Schleiniger) J. Non-Newtonian Fluid Mech. Volume 31, Issue 2, 209–225, 1989.
29. Quasi-transonic flow past delta wings. Quarterly of Applied Mathematics, Volume 45, no. 2, 265–277, 1987.
30. An asymptotic study of pancake theory. (J.D. Cole and G. Schleiniger) Proceedings of the Fourth Workshop on Gases in Strong Rotation, E. Ra ̈tz (ed.), Oxford, UK, 1982.