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## Author Index to Volume 116

### Journal of Optimization Theory and Applications (2003-03-01) 116: 691-692 , March 01, 2003

## Why do Univalve Shells of Gastropods Coil so Tightly? A Head-Foot Guidance Model of Shell Growth and its Implication on Developmental Constraints

### Morphogenesis and Pattern Formation in Biological Systems (2003-01-01): 345-354 , January 01, 2003

### Summary

Tight coiling with whorl overlap is the most frequent mode of shell coiling in gastropods. A new model of shell growth, the “head-foot guidance model”, implies that the contact of the head-foot mass with the mantle edge plays the main role in producing tight coiling. Computer simulation of the model suggests that the head-foot guidance mechanism imposes developmental constraints on the evolution of gastropods; 1.) bilaterally symmetric coiling is associated with bilaterally symmetric musculature of the foot mass; 2) tight coiling is associated with the contact of the head-foot mass and the mantle edge; 3) insertion of the foot muscle occurs in gastropods with an uncoiled shell.

## Traveling waves of infection in the hantavirus epidemics

### Bulletin of Mathematical Biology (2003-05-01) 65: 519-534 , May 01, 2003

Traveling waves are analyzed in a model of the hantavirus infection in deer mice. The existence of two kinds of wave phenomena is predicted. An environmental parameter governs a transition between two regimes of propagation. In one of them the front of infection lags behind at a constant rate. In the other, fronts of susceptible and infected mice travel at the same speed, separated by a constant delay. The dependence of the delay on system parameters is analyzed numerically and through a piecewise linearization.

## A Multi-Stage Stochastic Integer Programming Approach for Capacity Expansion under Uncertainty

### Journal of Global Optimization (2003-05-01) 26: 3-24 , May 01, 2003

This paper addresses a multi-period investment model for capacity expansion in an uncertain environment. Using a scenario tree approach to model the evolution of uncertain demand and cost parameters, and fixed-charge cost functions to model the economies of scale in expansion costs, we develop a multi-stage stochastic integer programming formulation for the problem. A reformulation of the problem is proposed using variable disaggregation to exploit the lot-sizing substructure of the problem. The reformulation significantly reduces the LP relaxation gap of this large scale integer program. A heuristic scheme is presented to perturb the LP relaxation solutions to produce good quality integer solutions. Finally, we outline a branch and bound algorithm that makes use of the reformulation strategy as a lower bounding scheme, and the heuristic as an upper bounding scheme, to solve the problem to global optimality. Our preliminary computational results indicate that the proposed strategy has significant advantages over straightforward use of commercial solvers.

## Discrete Methods for Optimal Control Problems

### Numerical Methods and Applications (2003-01-01) 2542: 205-212 , January 01, 2003

We consider a constrained optimal control problem, which we formulate in classical and in relaxed form. In order to approximate this problem numerically, we apply various discretization schemes on either of these two forms and study the behavior in the limit of discrete optimality and necessary conditions for optimality. We then propose discrete mixed gradient penalty methods that use classical or relaxed discrete controls and progressively refine the discretization, thus reducing computing time and memory. In addition, when the discrete adjoint state is not defined or difficult to calculate, we propose discrete methods that use approximate adjoints and derivatives. The result is that in relaxed methods accumulation points of generated sequences satisfy continuous strong relaxed optimality conditions, while in classical methods they satisfy weak optimality conditions.

## Robust Inference Based on Quasi-likelihoods for Generalized Linear Models and Longitudinal Data

### Developments in Robust Statistics (2003-01-01): 114-124 , January 01, 2003

### Summary

In this paper we introduce and develop robust versions of quasi-likelihood functions for model selection via an analysis-of-deviance type of procedure in generalized linear models and longitudinal data analysis. These robust functions are built upon natural classes of robust estimators and can be seen as weighted versions of their classical counterparts. The asymptotic theory of these test statistics is studied and their robustness properties are assessed for both generalized linear models and longitudinal data analysis. The proposed class of test statistics yields reliable inference even under model contamination. The analysis of a real data set completes the article.

## Study on the action of sodium selenite on the mitochondria metabolism ofCarassius auratus hybrid carps liver by microcalorimetry

### Wuhan University Journal of Natural Sciences A (2003-03-01) 8: 95-98 , March 01, 2003

By using an LKB-2277 bioactivity monitor and ampoule method, the fundamental thermogenesis curves of the metabolic process of liver mitochondria from*Carassius auratus* hybrid carps and the toxic effect of Na_{2}SeO_{3} on it were studied at 28°C. From the thermogenesis curves, the thermokinetic equations were established under different condition. The kinetics show that Na_{2}SeO_{3} has toxic action on the metabolism process of*Carassius auratus* hybrid carps liver mitochondria.

## Anti-Wick Symbols for Infinite Products in K-Homology

### K-Theory (2003-06-01) 29: 117-145 , June 01, 2003

We consider infinite products in *K*-homology. We study these products in relation with operators on filtered Hilbert spaces, and infinite iterations of universal constructions on *C**-algebras. In particular, infinite tensor power of extensions of pseudodifferential operators on *R* are considered. We extend anti-Wick pseudodifferential operators to infinite tensor products of spaces of the type *L*^{2}(*R*), and compare our infinite tensor power construction with an extension of pseudodifferential operators on *R*^{∞}. We show that the *K*-theory connecting maps coincide. We propose a natural definition of ellipticity for anti-Wick operators on *R*∞, compute the corresponding index, and draw some consequences concerning these operators.