A mathematical model for fluid and solute transport in peritoneal dialysis is constructed. The model is based on a threecomponent nonlinear system of two-dimensional partial differential equations for fluid, glucose and albumin transport with the relevant boundary and initial conditions. Our aim is to model ultrafiltration of water combined with inflow of glucose to the tissue and removal of al...

A learning model is constructed for two-player repeated games. In an inference step players construct minimally complex models of strategies based on observed play, and in an adaptation step players choose minimally complex best responses to an inference. When both players have optimistic inferences, stage game Nash equilibria are played in all steady states in the set of finite state automata,...

We previously introduced and analyzed the Gt/Mt/st + GIt many-server fluid queue with time-varying parameters, intended as an approximation for the corresponding stochastic queueing model when there are many servers and the system experiences periods of overload. In this paper, we establish an asymptotic loss of memory (ALOM) property for that fluid model, i.e., we show that there is asymptotic...

be the set of k observations. Finding xak, the estimate or analysis of the state space xk, given Zk and the initial conditions is called the filtering problem. When the dynamic model for the process, f(·), and for the measurements, h(·), are linear, and the random components x0, wk, vk are uncorrelated Gaussian random vectors, then the solution is given by the classical Kalman filter equations ...