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Fractional-order differential equations can describe the dynamics of robot formations and other high-order systems. These equations are useful models for such systems because of the flexibility afforded by including noninteger derivatives. A system’s fractional order may change in response to mechanical or operational damage, but the possibility of an order change is not typically considered in structural...
The dynamics of many large-scale robotic formation systems, including structured systems as well as some random scale-free networks of agents, can be accurately described using fractional-order differential equations. A fractional-order differential equation can contain derivative terms with non-integer order, e.g., the one-half derivative. This paper demonstrates that the fractional order of the...
Background:Both chronic lymphocytic leukemia (CLL) and mantle cell lymphoma (MCL) are CD5/19 positive. The t(11;14) MCL translocation is identified by fluorescent in situ hybridization (FISH) and can distinguish the two disorders. We attempted to identify flow cytometric and other markers predictive of a positive FISH test.
Methods:We examined 100 atypical CLL/MCL cases for demographic, hematological,...
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