Mathematical and Computer Models

Interdisciplinary Centre for Mathematical and Computational Modelling, University of Warsaw, 02-106 Warsaw, Poland Department of Chemistry and Biochemistry, University of California at San Diego, La Jolla, CA 92093-0365, USA... 

We can identify several goals of mathematical and computational models, all aimed at improving our decisions in the face of complexity, data overload, sparsity, and inconsistency. From the previous discussion, we see that models can be used to ... 

Reprinted with the permission of Elsevier Science from Mathematical and Computer Modelling, volume 18, number 8, pp. 95-115,1993. 

F.M. Alhabdan, M.A. Abashar, S. Elnashaie, A flexible software package for industrial steam reformers and methanators based on rigorous heterogeneous models, Mathematical and Computer Modeling, 16, 77-86, 1992... 

Giovine, P. (2003) A Continuum Theory of Soils Viewed as Peculiar Immiscible Mixtures. Mathematical and computer modelling 37, 525-532... 

Goldstein B, Faeder JR, Hlavacek WS (2004) Mathematical and computational models of immune-receptor signalling. Nat Rev Immunol 4 445 56... 

Faculty of Physics, Warsaw University, Zwirki i Wigury 93, 02-089 Warsaw, Poland 2Interdisciplinary Centre For Mathematical And Computational Modelling, Pawiriskiego 5a, 02-106 Warsaw, Poland The authors contributed equally to this work. 

Tolman introduced the concept of the cone angle in 1970 to separate and quantify steric and electronic factors in the reactions of phosphines with transition metals. The original measurements were made from simple physical models, and this approach has been extended to mathematical and computer modeling. Other workers have used X-ray diffraction data to observe and measure cone angles directly. These various approaches are outlined below. 

Hans Van de Vyver, A 5(3) pair of explicit Runge-Kutta-Nystrom methods for oscillatory problems, Mathematical and Computer Modelling, 2007, 45, 708-716. 

Computational toxicology is the application of mathematical and computer models for prediction of effect of toxic agents and understanding the mechanism. 

This paper is mainly a general review of turbulent atmospheric flows through canopy flows and the various mathematical and computational modelling approaches that are available. The review which is mostly non-mathematical in its presentations, is particularly relevant to urban areas because of the urgency of developing methods for dealing with accidental releases in urban areas. The dispersion of contaminants flow studies is also included in this review. We focus on dispersion from localised sources released suddenly, or over longer periods. 

Traenkle, F., Zeitz, M., Ginkel, M., Gilles, E.D. PROMOT A modeling tool for chemical processes. Mathematical and Computer Modelling of Dynamical Systems 6, 283-307 (2000)... 

Vanderpooten, D. and Vincke, P. (1989). Description and analysis of some representative interactive multicriteria procedures, Mathematical and Computer Modelling 12, pp. 1221-1238. 

Interdisciplinary Center for Mathematical and Computational Modeling. Warsaw University, Pawinskiego 5A, 02-106 Warsaw, Poland... 

The ability of eukaryotic cells to sense small differences in the extracellular concentrations of certain molecules, called chemoattractants, has been challenging mathematical and computational modelers for several decades. With growing amounts of experimental... 

A. Heieetz, L. Ritter, W. Olmstead, and V. A. Volpert, A numerical analysis of initiation of polymerization waves. Mathematical and Computer Modelling, in press, (2004). 

Rideout V.C. 1991. Mathematical and Computer Modeling of Physiological Systems, Englewood Cliffs, NJ, Prentice-Hall (now distributed by Medical Physics Pub., Madison, Wl). 

Popel A.S. Mathematical and computational models of the microcirculation. In Microvascular Research Biology and Pathology, Shepro D. Ed., Elsevier, 2005, pp. 1123 1129. 

Schweickert, R., Fisher, D.L., and Proctor, R.W. 2003. Steps toward building mathematical and computer models from cognitive task analysis. Hum. Factors 45 1. 

P. Berg, A. Caglar, J. St-Pierre, K. Promislow and B. Wetton, Electrical Coupling in Proton Exchange Membrane Fuel Cell Stacks Mathematical and Computational Modelling, accepted in the IMA J. Appl. Math., March, (2005). 

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