Mathematically detecting bubbles before they burst

From the dotcom bust in the late nineties to the housing crash in the run-up to the 2008 crisis, financial bubbles have been a topic of major concern. Identifying bubbles is important in order to prevent collapses that can ...

A mathematical model for moving bottlenecks in road traffic

Serious traffic gridlocks, like the jam on Beijing's national expressway a few months ago which brought vehicles to a halt for days, are a real-world issue needing attention. Unfortunately, such standstills are not uncommon ...

Mathematical models to better combat HIV

The first few hours to days following exposure to human immunodeficiency virus (HIV) can be of critical importance in determining if infection occurs in a patient. But the low numbers of viruses and infected cells at this ...

Mathematically ranking ranking methods

In a world where everything from placement in a Google search result to World Cup eligibility depends on ranking and numerical ratings of some kind, it is becoming increasingly important to analyze the algorithms and techniques ...

Surges in latent infections: Mathematical analysis of viral blips

Recurrent infection is a common feature of persistent viral diseases. It includes episodes of high viral production interspersed by periods of relative quiescence. These quiescent or silent stages are hard to study with experimental ...

Math detects contamination in water distribution networks

None of us want to experience events like the Camelford water pollution incident in Cornwall, England, in the late eighties, or more recently, the Crestwood, Illinois, water contamination episode in 2009 where accidental ...

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