Modelling and understanding how crime responds to deterrence is an interesting yet ambitious undertaking. Crime is shaped by a web of social environments, economic incentives, institutional structures, and individual decision-making. Any formal model, no matter how sophisticated, must necessarily simplify this reality to make the problem analytically tractable
During the brewing process of an espresso, hot water flows through a cylindrical filter that is densely packed with coffee grounds. Along the way, chemicals are extracted such that the liquid leaving the filter is not pure water anymore, but espresso. The concentration of dissolved chemicals in the liquid that comes out of the machine is the quantity of interest in a wide range of mathematical models for espresso brewing.
Magnetic fields are at the core of many imaging technologies. A widely known modality is MRI, a standard procedure in medical imaging, which is however limited by a long scanning time and the ability to only image anatomical regions containing sufficient amounts of water. The more recent magnetic particle imaging (MPI) instead promises functional images of the dynamics of nanoparticle tracers with high temporal resolution.
Understanding the mechanisms of neuronal development is vital for elucidating the intricate processes that govern the nervous system. In a neuron’s final form, it is composed of a long axon and multiple dendrites.…
Understanding the evolution of nature through a model describing collaborative population dynamics of plants and insects.
"Swarm intelligence," a term that abstractly captures the collective tendency to facilitate consensus formation by exchanging information within groups of individuals, whether they are animals, humans, or even artificial agents.
How does mistletoe grow? How does mistletoe spread? And, curiously, how does this link to the latest mathematical research?
Introducing a mathematical model for pedestrian dynamics that is based on social forces between pedestrians in exemplary hallway or crossing situations.
Machine learning models, particularly those based on deep neural networks, have revolutionized the fields of data analysis, image recognition, and natural language processing. A key factor in the training of these models is the use of variants of gradient descent algorithms, which optimize model parameters by minimizing a loss function. However, the training optimization problem for neural networks is highly non-convex, presenting unique challenges.
The PageRank algorithm was developed by Google co-founder Larry Page, and first introduced in 1998. It is based on the idea that a website’s importance can be measured by the number of other websites that link to it. Here, EJAM researchers study the PageRank algorithm.
The John Ockendon Prize launched in 2016 and is named after the founding editor of the European Journal of Applied Mathematics. This award recognises researchers for their contribution to applied mathematical research. In this article, Journal Editor Martin Burger discusses the 2022 winning paper.
In power networks with increasing shares of sustainable energy resources such as wind and solar radiation, the supply of energy is subject to natural fluctuations.…
Cytotoxic T lymphocytes (CTLs) belong to our bodies’ most effective weapons in the fight against distorted cells, such as cells infected by viruses or cancer cells.…
The phenomenon of spontaneous isothermal phase separation in a binary alloy is described mathematically by the Cahn-Hilliard equation. It is named after John W.…
Starting from the variational formulation of the Fokker-Planck equation provided by Jordan, Kinderlehrer and Otto in 1998, many evolution partial differential equations in the framework of probability spaces have been interpreted as gradient flow of a suitable free energy functional with respect to the Wasserstein distance.…
Stefan problems are a special type of partial differential boundary value problems, introduced around 1890 by the Slovenian physicist Josef Stefan [1].…
The European Journal of Applied Mathematics and Cambridge University Press are pleased to award the 2020 John Ockendon Prize to B.…
Silicosis is lung disease caused by the inhalation of respirable dust that contains quartz or similar particles. These particles can embed themselves deeply in the lung and the reaction of the tissue is called silicosis.…
In the year 1781 the problem of optimal transport was first formally discussed by the French mathematician Gaspard Monge. The major point in this field is the task of transforming a probability measure into another one in the way that consumes least energy.…
In recent years, applied analysis has seen an increase in interest in neural networks.
The lead article for Issue 4, Voume 29 from the European Journal of Applied Mathematics is Professor Bernard J. Matkowsky’s personalized survey-style article on the theory and application of ‘Singular perturbation methods to noisy dynamical systems’ in the limit of small noise.…
The European Journal of Applied Mathematics and Cambridge University Press are pleased to award the 2018 John Ockendon Prize to G.…
The advance of data science and the solution of big data questions rely heavily on fundamental mathematical techniques. We are surrounded by technology that collects, transmits and manipulates data on an immense scale; the key is the application and development of advanced mathematics for the efficient gathering and manipulation of ‘data’–values of qualitative or quantitative variables–and efficient extraction of ‘information’–the content and meaning present in data.…
The European Journal of Applied Mathematics and Cambridge University Press are pleased to award the 2016 John Ockendon Prize to S. J Chapman and S. E McBurnie for their winning article ‘Integral constraints in multiple-scales problems’ published in EJAM’s Special Anniversary Issue, October 2015.
From terrorist attacks to riots and residential burglaries, the latest special issue of the European Journal of Applied Mathematics – published by Cambridge University Press – includes a series of cutting-edge articles that show how maths can be used to predict a broad range of problems related to crime and security.
The English language contains a wealth of insults and terms of abuse. Personal insults attack the core and immutable aspects of a person, such as their race, ethnicity, appearance, age, or a disability.…
Even though findings from genetics and other sciences unequivocally refute biological conceptions of race, this erroneous viewpoint remains widespread among the general public.…
The March article of Muses – the arts blog from BJPsych International is the first blog of the series. The blog is written by Dr Dami Ajayi, Specialty Doctor, Barnet Enfield and Haringey Mental Health NHS Foundation Trust and Trainee/Blog Editor, BJPsych International.…
Some disability-related names have dropped out of usage, because they are now considered to be offensive due to their origins. Down Syndrome (Trisomy 21) is one example.…
The paper “The role of premenstrual syndrome in hedonic hunger and food craving during the menstrual cycle“, published in Journal of Nutritional Science, has been chosen as the latest Editorial Highlight and is freely available to download for one month.…
The Paper of the Month for March is ‘Impact of omega-3 fatty acid supplementation on clinical manifestations in autism spectrum disorders: an umbrella review of meta-analyses“.…
For over a century, the giant stone jars of northern Laos have remained one of Southeast Asia’s great archaeological mysteries. Scattered across remote ridgelines and forests on the Plain of Jars, these massive megalithic vessels have sparked debate over their true purpose: storage containers, symbolic monuments, or part of a complex mortuary tradition?…
How long will humankind survive? Besides the fact that we have been able to eliminate ourselves with nuclear weapons for decades, even without a third world war, the challenge to take care of the resources of our planet remains; we need to use them in a way that our children and their children can have a place on Earth as well. In this blog post Andreas Losch discusses his recent review article in the International Journal of Astrobiology, The need of an ethics of planetary sustainability
It is an article of faith among ordinary Filipinos that American troops will die with Filipino troops defending Philippine claims to the Spratly Islands in the South China Sea (SCS).…
Q&A with Editor-in-Chief of the Precision Medicine Journal, Dame Anna Dominiczak, for International day of Women and Girls in Science
More and more research is finding inflammation as a potential contributing factor towards to the development of various mental illnesses. A systematic review was conducted to determine the association between parasitic infection and mental illnesses in various African populations. Two parasite groups were evaluated; helminths and protozoans, and four mental illness classifications; depressive disorders, anxiety disorders, schizotypal disorders and unspecified mental illnesses.
This is the first post in our new series: “Conversations with Authors.” For our inaugural post, we asked Dr. Vesla Weaver to meet (virtually) with Dr.…
The March article of Muses – the arts blog from BJPsych International is the first blog of the series. The blog is written by Dr Dami Ajayi, Specialty Doctor, Barnet Enfield and Haringey Mental Health NHS Foundation Trust and Trainee/Blog Editor, BJPsych International.…
The English language contains a wealth of insults and terms of abuse. Personal insults attack the core and immutable aspects of a person, such as their race, ethnicity, appearance, age, or a disability.…
Listen to @BBCRadio4's Start the Week, featuring @NineDotsPrize winner @jkkusiak, talking about her book, 'Radically Legal'. Learn how a group of ordinary people inspired the book when they reclaimed over 240,000 apartments back from corporate landlords 🔗
Start the Week - ‘Left behind’, but not forgotten - BBC Sounds
Tom Sutcliffe with Paul Collier, Joanna Kusiak and Matthew Xia.
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