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New analysis takes account of natural fluctuations and predictability to assess which parts of an ecosystem are most threatened by climate change and other disruptions. Wildfires, floods, pollution, and overfishing are among the many disruptions that can change the balance of ecosystems, sometimes endangering the future of entire species.

An interdisciplinary team of researchers from the Universidad Carlos III de Madrid (UC3M) has created a mathematical model which makes it possible to explain, according to different sociopolitical variables, certain advanced cyberattacks that are usually carried out by States. This is a first step towards the ambitious goal of predicting the occurrence of these cyberattacks.

Reducing redundant information to find simplifying patterns in data sets and complex networks is a scientific challenge in many knowledge fields. Moreover, detecting the dimensionality of the data is still a hard-to-solve problem. An article published in the journal Nature Communications presents a method to infer the dimensionality of complex networks through the application of hyperbolic geometrics, which capture the complexity of relational structures of the real world in many diverse domains.

Neural networks are learning algorithms that approximate the solution to a task by training with available data. However, it is usually unclear how exactly they accomplish this. Two young Basel physicists have now derived mathematical expressions that allow one to calculate the optimal solution without training a network.

Metabolism is essential to all living organisms, and modeling the chemical reactions that sustain life is no easy task. Now, scientists have released REKINDLE, paving the way for more efficient and accurate modeling of metabolic processes thanks to deep-learning. The way an organism metabolizes nutrients is a complex process.

A method known as quantum key distribution has long held the promise of communication security not possible in conventional cryptography. For the first time, an international team of scientists, including researchers from EPFL, has demonstrated experimentally an approach to quantum key distribution based on high-quality quantum entanglement - offering much broader security guarantees than previous schemes.

New research published in Nature explains how an international team of researchers have, for the first time, experimentally implemented a type of quantum cryptography considered to be the 'ultimate', 'bug-proof' means of communication.

Shachar Lovett, an associate professor in UC San Diego's Department of Computer Science and Engineering, has received a Simons Foundation Investigator award, which supports outstanding theoretical scientists in math, physics, astrophysics and computer science. Lovett will receive $100,000 per year over the next five years.

At the heart of every resonator - be it a cello, a gravitational wave detector, or the antenna in your cell phone - there is a beautiful bit of mathematics that has been heretofore unacknowledged. Yale physicists Jack Harris and Nicholas Read know this because they started finding knots in their data.

At its heart, is mathematics an aesthetic discipline? Or what does it mean if someone finds a proof -beautiful- And what does mathematical beauty say about physical connections? To this day, mathematics includes beautiful facts that are also familiar to us in everyday life. The golden ratio, for example, has been revered since an­tiquity as representing the most aesthetically pleasing proportions.

Artist's concept of a sun-like star (left) and a rocky planet about 60% larger than Earth in orbit in the star's habitable zone. Gravitational microlensing has the ability to detect such planetary systems and determine the masses and orbital distances, even though the planet itself is too dim to be seen.

How does a cell balance risk and speed when dividing? scientists have developed and experimentally tested the first mathematical theory that describes the cell's best strategy for dividing safely and efficiently. Cells go through a life cycle that includes growing to the right size, being equipped to perform its functions, and finally dividing into two new cells.

In the subjects of science and technology, engineering and mathematics - known collectively as STEM subjects - up to 40 percent of students drop out of their studies in the entry phase. A research team from the University of Tübingen's Methods Center at the Faculty of Economics and Social Sciences has now developed a statistical method that can be used to predict on average eight weeks in advance whether students will terminate their studies.

When and where a gene is transcribed in a living organism often depends on its physical interactions with distal genomic regulatory regions called enhancers. Researchers in the group of Luca Giorgetti have thrown light on how such interactions control transcription thanks to a novel ingenious experimental approach combined with mathematical modelling.

Researchers from EPFL have found a way to use only mathematics to automatically draw neurons in 3D, meaning we are getting closer to being able to build digital twins of brains. Santiago Ramón y Cajal, a Spanish physician from the turn of the 19 th century, is considered by most to be the father of modern neuroscience.

"Data is the new oil", it has often been said. Indeed, in the digital age data is the fuel that runs the engines of digital media, advanced informatics (AI, machine learning etc.) and, not least, scientific research. Nevertheless, when facing certain highly complex issues, data-driven approaches may not always be the most effective solutions.

Researchers simulate the transmission of variants and effects of health measures By Researchers at the University of Waterloo created the first computational model that simulates many variables affecting the transmission of COVID-19 to slow the spread of variants. The model takes raw data already in use to forecast case numbers and hospitalizations, and then adds other factors, such as vaccination rates, the use of masks and lockdowns, and the number of breakthrough infections.

Research carried out by the Universidad Carlos III de Madrid (UC3M) may help us better understand oscillations in blood flow that occur in the cerebrovascular network, thanks to a theoretical model that allows the flow and accumulation of fluid (in this case, blood) to be taken into account. Flow networks are made up of a set of connections that carry fluid.

Research carried out by the Universidad Carlos III de Madrid (UC3M) may help us better understand oscillations in blood flow that occur in the cerebrovascular network, thanks to a theoretical model that allows the flow and accumulation of fluid (in this case, blood) to be taken into account. Flow networks are made up of a set of connections that carry fluid.

A multidisciplinary team at the University of Geneva has succeeded in explaining the complex distribution of scales in the ocellated lizard by means of a simple equation. The shape-shifting clouds of starling birds, the organization of neural networks or the structure of an anthill: nature is full of complex systems whose behaviors can be modeled using mathematical tools.