Preface -- Introduction -- Basic Concept of Ca2+ Signaling in Cells and Tissues (M. J. Sanderson) -- Modeling IP-3-Dependent Calcium Dynamics in Non-Excitable Cells (J. Sneyd) -- Integrated Calcium Management in Cardiac Myocytes (T. R. Shannon) -- Mechanisms and Models of Cardiac Excitation-Contraction Coupling (R. L. Winslow, R. Hinch, J. L. Greenstein) -- Mathematical Analysis of the Generati…
Two Classical Optimization Problems -- Gauss’ Question -- What Does Solution Mean? -- Network Design Problems -- A New Challenge: The Phylogeny -- An Analysis of Steiner’s Problem in Phylogenetic Spaces -- Tree Building Algorithms.The problem of "Shortest Connectivity" has a long and convoluted history: given a finite set of points in a metric space, search for a network that connects these…
The Implied Volatility Surface -- Smile Consistent Volatility Models -- Smoothing Techniques -- Dimension-Reduced Modeling -- Conclusion and Outlook.The implied volatility surface is a key financial variable for the pricing and the risk management of plain vanilla and exotic options portfolios alike. Consequently, statistical models of the implied volatility surface are of immediate importance …
Classical Techniques -- Integer Programming -- Genetic Algorithms -- Genetic Programming -- Tabu Search -- Simulated Annealing -- Variable Neighborhood Search -- Constraint Programming -- Multi-Objective Optimization -- Complexity Theory and the No Free Lunch Theorem -- Machine Learning -- Artificial Immune Systems -- Swarm Intelligence -- Fuzzy Reasoning -- Rough Set Based Decision Support -- …
Invited Lectures -- Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications -- A General Frame for the Construction of Constrained Curves -- DMBVP for Tension Splines -- Robust Numerical Methods for the Singularly Perturbed Black-Scholes Equation -- Contributed Lectures -- On Certain Properties of Spaces of Locally Sobolev Functions -- On Some Properties of Hom…
Batch Presorting Problems. I Models and Solution Approaches -- Batch Presorting Problems. II Applications in Inventory Logistics -- Vehicle Routing Problems in Hospital Transportation. I Models and Solution Approaches -- Vehicle Routing Problems in Hospital Transportation. II Applications and Case Studies -- Summary.This books covers the analysis and development of online algorithms involving e…
Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales -- Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions -- Adaptive Monte Carlo Algorithms for Stopped Diffusion -- The Heterogeneous Multi-Scale Method for Homogenization Problems -- A Coarsening Multigrid Method for Flow in Heterogeneous Porous Media -- On th…
Constraint Retraction for Dynamic Constraint Satisfaction Problems over Disjoint Real Intervals -- Computational Methods for Large Distributed Parameter Estimation Problems in 3D -- Robust Parameter Estimation for Identifying Satellite Injection Orbits -- On the Numerical Simulation of the Free Fall Problem -- Searching the Web: a Semantics-Based Approach -- Adaptive Computation with Perfectly …
4d Formalism -- On Establishing Balance and Conservation Laws in Elastodynamics -- From Mathematical Physics to Engineering Science -- Evolving Interfaces -- The Unifying Nature of the Configurational Force Balance -- Generalized Stefan Models -- Explicit Kinetic Relation from “First Principles” -- Growth & Biomechanics -- Surface and Bulk Growth Unified -- Mechanical and Thermodynamical Mo…
General introduction -- Continuous-time dynamical systems -- Discrete-time dynamical systems -- Game theory and evolution -- Markov chains and diffusions -- Random arborescent models -- Statistics.Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panor…