Computer models of the musculoskeletal system frequently represent the force-length behavior of muscle with a lumped-parameter model. Lumped-parameter models use simple geometric shapes to characterize the arrangement of muscle fibers and tendon; this may inaccurately represent changes in fiber length and the resulting force-length behavior, especially for muscles with complex architecture. The...

Transmission lines and their lumped approximating networks have long been incorporated into radio-frequency power amplifiers to improve efficiency and shape circuit waveforms, and are beginning to perform a similar roles in high-frequency switched-mode power electronics. Though lumped line-simulating networks are often preferred to their distributed exemplars for reasons of design flexibility a...

Forming lumped states in a Markov chain is a very useful device leading to a coarser level of description. The Markov chain on these lumped states is often taken as an approximation for the time evolution of the unlumped chain. In the present work we derive a bound on the error in this approximation.

A transmission line model for capacitors is proposed and developed. The model relates electrical parameters to geometrical parameters, leading to simple design rules for power applications. In contrast, design rules based on lumped RLC models are shown to lead to design errors. Experimental results match a simulation based on the distributed model whereas a lumped model gives erroneous predicti...

Anderson and Bowser [1986], hereafter referred to as AB, presented a very interesting paper on the study of the role of groundwater in delaying lake acidification i Wisconsin. By considering the input/output of hydrogen ion with respect o the aquifer, including nonconservative transport through the use of the retardation factor, the effect of a delay in the arrival of acid to the lake is demons...

An analytical approach is presented to assess the response of offshore structures under seismic excitation. This paper evaluates the impacts of different fluid field models and the mass of equipment at the top of offshore structure which is simulated as lumped mass on the responses of offshore structures. To do this, two and three dimensional fluid field models are developed. In three dimension...