Mathematical problems in modeling artificial heart

Some Mathematical Problems in Artificial

The purpose of this essay is to sketch a few mathematical problems arising in artificial intelligence, with the hope that some may appeal to mathematicians, logicians, or theoretical computer scientists. I have thought about these problems off and on for some time, though mostly off, and am now attempting to set some of them down in response to conversations with Merrick Furst and Joseph Bates,...

Mathematical Modeling of Artificial Neural Networks

Models and algorithms have been designed to mimic information processing and knowledge acquisition of the human brain generically called artificial or formal neural networks (ANNs), parallel distributed processing (PDP), neuromorphic or connectionist models. The term network is common today: computer networks exist, communications are referred to as networking, corporations and markets are stru...

Environmental Problems , Uncertainty , and Mathematical Modeling

In this paper we discuss three rather special characteristics shared by many environmental problems. Namely, that (i) the environmental variables in which we are most interested constitute a stochastic process; (ii) the long-term or limiting behavior and the short-term or transient behavior are often both important; and (iii) the underlying probability distributions are likely to be influenced ...

Application of Mathematical Modeling to Immunological Problems

PURPOSE. The purpose of our paper is to investigate the interactions between the immune system of vertebrates and infectious pathogens such as viruses. METHODS. We use methods of mathematical modeling and computer simulations in order to study the dynamics of the interacting populations. RESULTS. The numerical results present possible outcomes of the competition between viruses and immune cells...

Gene Expression Programming: Mathematical Modeling by an Artificial Intelligence