CONTENTS -- Preface -- Organizing Committees -- Dedication -- Part A Plenary Papers -- Multi-scale Methods, Computer Simulations, and Data Mining: Di erence Equations and Renewal Equations F. Hoppensteadt -- 1. Discrete Event Systems with Noise -- 1.1. Averaging Di erence Equations -- 1.2. Averaging Systems Perturbed by Random Noise -- 2. Simulation and Data Mining -- 3. Volterra Integral Equations -- 4. Conclusions -- References -- Whither Biostochastics in Computational Biology and Bioinformatics P. K. Sen -- 1. Introduction -- 2. Genesis of Biostochastics -- 3. HDLSS Paradigms -- 4. HDLSS for Qualitative Data Models -- 5. Adaptation of the Chen-Stein Theorem -- References -- Studies of Nonlinear Three-dimensional Free Surface Flows J.-M. Vanden-Broeck -- 1. Introduction -- 2. Two-dimensional gravity-capillary solitary waves -- 2.1. Formulation -- 2.2. The modified problem and the numerical solutions -- 3. Three-dimensional gravity-capillary solitary waves -- 4. Further applications of the 'modi ed problem' method -- References -- Part B Invited Papers -- Bursting in Pituitary Cells R. Bertram -- 1. Introduction -- 2. Square Wave Bursting -- 3. Pituitary Bursting -- 4. Bursting With No Slow Variable -- 5. Conclusion -- Acknowledgments -- References -- The Dynamics of Antibody Dependent Enhancement in Multi-strain Diseases with Vaccination L. Billings, I. B. Schwartz and L. B. Shaw -- 1. Introduction -- 2. Description of the General n-strain Model -- 3. Lower Dimensional Center Manifold Approximation -- 4. Vaccinations -- 5. Conclusions -- Acknowledgments -- References -- Dynamics of Inextensible Vesicles Suspended in a Con ned Two-dimensional Stokes Flow A. Rahimian, S. K. Veerapaneni, D. Zorin and G. Biros -- 1. Introduction -- 2. Formulation -- 3. Numerical scheme -- 3.1. Multiple vesicles -- 4. Results -- 5. Conclusions -- References.

A Robust Recursive Partitioning Algorithm for Mining Multiple Populations J. Alvir, J. Cabrera, F. Caridi, H. Nguyen and C. Roberts -- 1. Introduction -- 2. Recursive partitioning and active region nder methodology -- 3. A new data mining paradigm for multiple comparisons -- 4. Example -- References -- Scattering of Water Waves by Freely Floating Semi-in nite Elastic Plates on Water of Finite Depth A. Chakrabarti and S. C. Martha -- 1. Introduction -- 2. Scattering of Water Waves by a Single Plate and a Pair of Plates with a Gap -- 2.1. Method of solution -- 3. Problem-3. Scattering of Flexural Gravity Waves by a Series of Narrow Cracks in a Floating Elastic Plate -- 3.1. The method of solution -- 3.2. Numerical results -- Acknowledgement -- Appendix A. -- References -- On the Hyperbolicity of Two-layer Flows R. Barros and W. Choi -- 1. Introduction -- 2. Hyperbolicity of the two-layer shallow water model -- 2.1. Root location criteria -- 2.1.1. Preliminaries -- 2.1.2. Real characteristic speeds of long waves -- 2.1.3. Comparison with the characteristic speeds in Lawrence (1990) -- 2.2. A geometrical approach -- 3. Concluding remarks -- References -- Contributions to Balanced Arrays of Strength t with Applications D. V. Chopra and R. M. Low -- 1. Introduction and Preliminaries -- 2. Main Results with Discussion -- References -- Asymptotic Solutions of Some Randomly Perturbed Nonlinear Wave Equations P.-L. Chow -- 1. Introduction -- 2. Energy Equation and Inequality -- 3. Example of Unbounded Solution -- 3.1. Existence of Global Solutions -- 4. Asymptotic Solutions -- References -- The Bootstrap in Binary Model Diagnostics G. Dikta -- 1. Introduction -- 2. The Bootstrap Approach -- 3. Simulation Study -- 4. Application to Survival Analysis -- 5. Conclusion -- References.

Nonreecting Local Boundary Conditions for Elliptical- shaped Exterior Boundaries H. Barucq, R. Djellouli and A. Saint-Guirons -- 1. Introduction -- 2. Preliminaries -- 3. Three-dimensional second-order approximate local DtN boundary condition in prolate spheroid coordinates -- 4. Performance analysis -- 4.1. Mathematical results -- 4.2. Illustrative numerical results -- 5. Conclusion -- Acknowledgments -- References -- Modeling and Analysis of Axonogenesis: Random Spatial Network Perspective Y. E. Pearson, D. A. Drew and E. Castronovo -- Introduction -- Model Formulation -- Random Spatial Network { Spatial Description -- Random Spatial Network{Growth Description -- Experimental Data Collection -- Results -- Conclusion -- References -- Steady Vortex Flow Past a Cylinder or Sphere A. Elcrat, K. Miller and B. Fornberg -- 1. Steady Vortices in Equilibrium with a Cylinder -- 2. Steady Axisymmetric Vortices in Three Dimensions -- 3. Non-swirling flows -- 4. Vortex rings with swirl -- 5. Vortex tubes -- References -- On Two Fast Algorithms for Estimating the Mixing Distribution in Mixture Models J. K. Ghosh and R. Martin -- 1. Introduction -- 2. Motivation -- 3. Theoretical properties -- 4. Simulations -- References -- Direct Regression Models for Survival Parameters Based on Pseudo-values J. P. Klein and G. Tunes-da-Silva -- 1. Introduction -- 2. Pseudo Observation Regression -- 3. Direct Regression for Survival Function -- 4. Direct Regression Modeling for Mean Survival -- 5. Direct Regression Modeling for Competing Risks -- 6. Regression Models for State Probabilities in Multistate Models -- 7. Mean Quality-of-Life -- 8. Discussion -- References -- On Some Non-linear Recurrences that Arise in Computer Science C. Knessl and W. Szpankowski -- 1. Introduction -- 2. Digital trees -- 3. QUICKSORT algorithm -- 4. Binary trees -- Acknowledgments -- References.

Small-sample Inference for Non-inferiority in Binomial Experiments J. Davidson and J. Kolassa -- 1. Introduction -- 2. Notation -- 3. Results -- Acknowledgments -- References -- Termination of Cardiac Reentry T. Krogh-Madsen and D. J. Christini -- 1. Introduction -- 2. Termination of reentry in a loop-and-tail model -- 2.1. Methods -- 2.2. Results -- 2.3. Conclusions -- 3. Termination of reentry in a short loop model -- 3.1. Methods -- 3.2. Results -- 3.3. Conclusions and outlook -- Acknowledgments -- References -- A Parametric Derivation of the Surfactant Transport Equation Along a Deforming Fluid Interface H. Huang, M.-C. Lai and H.-C. Tseng -- 1. Introduction -- 2. Surfactant transport equation -- 3. Surface divergence -- Acknowledgments -- References -- Analysis and Estimation of the Variance of Cross-validation Estimators of the Generalization Error: A Short Review M. Markatou, R. Dimova and A. Sinha -- 1. Introduction -- 2. Notation and De nitions -- 3. Variance Estimation of ^T J -- 4. Summary and Conclusions -- Acknowledgments -- References -- Negative Phase and Leader Switching in Non-weakly Coupled Two-cell Inhibitory Networks V. Matveev and M. Oh -- 1. Introduction -- 2. Phase-plane geometry of alternating-order spiking -- 3. Existence and stability of periodic leader switching -- 4. Effect of variation in coupling strength -- 5. Concluding remarks: leap-frog spiking in 1-D models -- Acknowledgments -- Appendix A. Morris-Lecar model parameters -- References -- A Boundary Integral Strategy for the Laplace-Beltrami- Dirichlet Problem on the Sphere S2 S. Gemmrich and N. Nigam -- 1. Introduction -- 2. Point vortex motion on a sphere with impenetrable walls -- 3. An indirect boundary integral approach -- 4. Numerical experiments -- 4.1. Example 1 - spherical cap -- 4.2. Example 2 - longitudinal wedge -- 4.3. Example 3 - half-longitudinal wedge.

4.4. Example 4 - gap in a rectangular wall -- References -- Non-spatial Whole Cell Models of Global Calcium Responses that Account for Heterogeneous Domain Calcium Concentrations G. Williams, M. Huertas, G. Smith, M. Jafri and E. Sobie -- 1. Introduction -- 2. Many-compartment Monte Carlo model -- 3. Probability density formulation -- 4. Probability density simulations of local and global Ca2+ responses -- 5. Conclusions and future work -- Acknowledgments -- References -- Stable and Accurate Outgoing Wave Filters for Anisotropic and Nonlocal Waves A. So er and C. Stucchio -- 1. Introduction -- 1.1. Outgoing waves -- 2. The TDPSF Algorithm -- 2.1. Construction of the boundary lter -- 2.2. Implementation details -- 3. Examples -- 3.1. A warm-up: 1-dimensional Schr odinger equation -- 3.2. Hyperbolic Systems: the Euler and Maxwell equations -- 3.3. Linearized quasi-geostrophic equations -- 4. Stability -- 5. The Low Frequency Problem -- Acknowledgments -- References -- Asymptotic Approximations in Financial Mathematics R. Jordan and C. Tier -- 1. Introduction -- 2. Volatility Index -- 3. Variance Swap -- 4. Log Contract and CEV Process -- 4.1. Pricing Formulas -- 4.2. > 0 -- 4.3. < 0 -- 5. Stochastic CEV Model -- 5.1. Special Case: = 0, = -- 5.2. Ray Solution for short time -- References -- Author Index.