Center for Mathematical Biology Publication List

• Richard Bertram, Joseph Previte, Arthur Sherman, Tracie Kinard, and Les Satin. The Phantom Burster Model for Pancreatic b-Cells, Biophysical Journal, 79:2880-2892 (2000).
• Erica Chauvet*, Joseph E. Paullet, Joseph P. Previte, Zac Walls*. A Lotka-Volterra Three Species Food Chain, to appear MAA Mathematics Magazine.  PDF version.
• Silver, P., J.K. Cooper, and E.J. Davis. The Arrangement of Resources in Patchy Landscapes:  Effects on Distribution, Survival, and Resource Acquisition in Chironomids.  Oecologia 124:216-224 (2000).
• Stevens SA and Lakin WD: A mathematical model of the circulatory system with logistically defined nervous system regulatory mechanisms. Mathematical and Computer Modelling of Dynamical Systems. In Press.
  
• Rebecca Ellison*, Virginia Gardner*, Joel Lepak*, Meghan O'Malley*, Joseph Paullet, Joseph P. Previte , Beth Ann Reid* and Katy Vizzard* (2005) Pattern Formation in Small Arrays of Locally Coupled Oscillators, Int. J. of Bifurcation and Chaos 15 2283-2293.
  
• Joseph E. Paullet and Patrick D. Weidman, (2005) Nonexistence of Solutions for Reverse Radial Stagnation Flow with Transpiration, Applied Mathematics Letters 18 1009-1012.
  
• Stevens SA, Lakin WD, and Penar PL. Modeling Steady-State Intracranial Pressures in Microgravity. 2005 International Conference on Numerical Analysis and Applied Mathematics Proceedings. Edited by TE Simos, G Psihooyios,and CH Tsitouras. Wiley-Vch, Verlang GmbH & Co. KgaA, Weinheim, Germany. pp. 502-505 (2005).
• Stevens SA, Lakin WD, Thakore NJ, Penar PL, and Tranmer BI. A Modeling Study of Idiopathic Intracranial Hypertension. Wessex Institute of Technology Transactions on Biomedicine and Health. Edited by M. Ursino et al. WIT-Press, South Hampton, UK. pp. 47-56 (2005).
• Stevens SA, Lakin WD, and Penar PL: Modeling Steady-State Intracranial Pressures in Supine, Head-Down Tilt and Microgravity Conditions. Aviation, Space, and Environmental Medicine 76(4):329-338 (2005).
  
• Silver, P., C. Brown McCall*, and D. Wooster.  2004. Habitat partitioning by chironomid larvae in arrays of leaf patches in streams.  Journal of the North American Benthological Society 23:467–479.
• Silver, P., D. Wooster, and M. A. Palmer.  2004. Chironomid responses to spatially structured, dynamic, streambed landscapes.  Journal of the North American Benthological Society 23:69–77.
• Joseph P. Previte and Eugene Z. Xia , Exceptional Discrete Mapping Class Group Orbits in Moduli Spaces, Forum Mathematicum, Volume 15, No. 6, 949?954 (2003) PDF version.
• Lakin WD, Stevens SA, Tranmer BI, and Penar PL: A Whole-Body Mathematical Model For Intracranial Pressure Dynamics. Journal of Mathematical Biology 46:347-383 (2003).
• Stevens SA , Lakin WD, and Goetz W: A Differentiable, Periodic Model Function for Pulsatile Cardiac Output Based on Heart Rate and Stroke Volume. Mathematical Biosciences 182: 201-211 (2003).
• Erica Chauvet*, Joseph E. Paullet, Joseph P. Previte , and Zac Walls*, (2002) A Lotka-Volterra Three-species Food Chain, Mathematics Magazine 75 243-255.
• Silver, P., M. A. Palmer, C. M. Swan, and D. Wooster.  2002. The small-scale ecology of freshwater meiofauna.  Pages 217–240 in Freshwater meiofauna: biology and ecology.  S. D. Rundle, A. L. Robertson, and J. M. Schmid-Araya (editors).  Backhuys, Leiden, Germany.
• Joseph P. Previte and Eugene Z. Xia , Topological Dynamics on Moduli Spaces II, Transactions of the AMS , Vol 354, No. 6, 2475-2494 (2002)
• Hainsworth, F.R., and Voss, M.A. (2002) Intermittent incubation: predictions and tests for time and heat allocations. Chapter 15 (pp 223-237) In: (D.C. Deeming, ed.) Avian Incubation: Behaviour, Environment and Evolution (Oxford Ornithology Series). Oxford Univ. Press, Oxford.
  
• Voss, M.A. and F.R. Hainsworth (2001). Relatively simple, precise methods to analyze temperature transients in ectotherms. J. Thermal Biology 26: 121-132.
  
• Palmer, M. A, C. S. Swan, K. Nelson, P. Silver, and R. Alvestad*.  2000.  Streambed landscapes:  evidence that stream invertebrates respond to the type and spatial arrangement of patches.  Landscape Ecology 15:565–578.
• Stevens SA: Mean Pressures and Flows of the Human Intracranial System as Determined by Mathematical Simulations of a Steady-State Infusion Test. Neurological Research 22:809-814 (2000).
• Stevens SA and Lakin WD: Local Compliance Effects on the Global Pressure-Volume Relationship in Models of Intracranial Pressure Dynamics. Mathematical and Computer Modeling of Dynamical Systems 6(4):445-465 (2000).
  
• Joseph E. Paullet and Patrick D. Weidman, (2000) Analytical Results for a BVP Describing Radial Stagnation Flow with Transpiration, Journal of Mathematical Analysis and Applications 247 246-254.
  
• Joseph P. Previte and Eugene Z. Xia , Topological Dynamics on Moduli Spaces I , Pacific Journal of Mathematics, Vol 193, No. 2, 397-418 (2000).
  
• Stanko-Mishic, S.*, P. Silver Botts, and J. K. Cooper.  1999. Manipulation of habitat quality:  effects on chironomid life history traits.  Freshwater Biology 41:719–727.
  
• Silver Botts, P.  1999. Lake Erie coastal wetlands.   Pages 995–1012 in Invertebrates in freshwater wetlands of North America: ecology and management.
• D.P. Batzer, R. B. Rader, and S. A. Wissinger (editors).   Van Nostrand Reinhold, New York.
  
• Haris Tabakovic*, Joseph Paullet, and Richard Bertram, (1999) Measuring the Curl of Paper, The College Mathematics Journal 30 No. 4 315-317.
  
• Joseph E. Paullet, (1999) On the Solutions of Electrohydrodynamic Flow in a Circular Cylindrical Conduit, Z. Angew. Math. Mech. (ZAMM) 79 357-360.
  
• Hainsworth, F.R., T. Moonan, M.A. Voss, K.A. Sullivan and W.W. Weathers (1998). Time and heat allocations to balance conflicting demands during intermittent incubation by Yellow-eyed Juncos. Journal of Avian Biology 29: 113-120.
  
• Joseph E. Paullet and G. Bard Ermentrout, (1998) Spiral Waves in Spatially Discrete Lambda-Omega Systems, Int. J. of Bifurcation and Chaos 8 33-40.
  
• Joseph E. Paullet, Debra A. Polignone Warne, and Paul G. Warne, (1998) Existence and Uniqueness of Azimuthal Shear Solutions in Compressible Isotropic Nonlinear Elasticity, Math. and Mechanics of Solids 3 53-69.
  
• Joseph E. Paullet and Debra A. Polignone Warne, (1996) Existence and A Priori Bounds for the Finite Torsion Solution for a Class of General Blatz-Ko Materials, Math. and Mechanics of Solids 1 315-326.
  
• Joseph E. Paullet and G. Bard Ermentrout, (1994) Stable Rotating Waves in Two-Dimensional Discrete Active Media, SIAM J. Appl. Math. 54 1720-1744.
  
• Joseph E. Paullet, G. Bard Ermentrout, and William C. Troy, (1994) The Existence of Spiral Waves in an Oscillatory Reaction Diffusion System, SIAM J. Appl. Math. 54 1386-1401.
  
• Joseph E. Paullet, (1993) Existence and Uniqueness of a Solution for a BVP from Developmental Biology, IMA J. Appl. Math. 51 239-249

* = undergraduate student

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