The mathematical foundations of physical systems modeling languages

Mathematical Modeling of the Temperature-Dependent Growth of Living Systems

In this investigation a non-equilibrium thermodynamic model of the temperature dependent biological growth of a living systems has been analyzed. The results are derived on the basis of Gompertzian growth equation. In this model, we have considered the temperature dependent growth rate and development parameter. The non-equilibrium thermodynamic model is also considered for exploring the variat...

Mathematical Foundations for Modeling and Simulation

A tractable scientific basis is needed for M&S modeling, specification, abstraction, refinement, composition, and decomposition. While the component composition, abstraction, and refinement work of others will provide valuable insights, M&S fundamentals for physical systems must be applicable to the lowest level of knowledge about those systems. Starting with objects, components, or systems (su...

On Mathematical Foundations for Business Modeling

Business modeling (BM) is probably as old as business itself yet only recently it has started to recognize itself as a special engineering discipline that could be taught, facilitated with computer and performed in an industrial environment. Obviously, transformation into an engineering discipline needs elaboration of methodologies, reuse patterns, convenient notations, tools and “how to do” bo...

Preference Function Modeling (PFM): The Mathematical Foundations of Decision Theory

We establish the conditions that must be satisfied for the mathematical operations of linear algebra and calculus to be applicable. The mathematical foundations of decision theory as well as other theories depend on these conditions which have not been correctly identified in the classical literature.

Foundations of Work-Systems Modeling