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## Mathematics

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**1**-**10**of**10**.Health - Mathematics -

**20.03.2024** A computational model has been created to simulate the biomechanical growth of breast tumors

Research by UC3M and Johns Hopkins University Scientists from Universidad Carlos III de Madrid (UC3M) and Johns Hopkins University (JHU), in the USA, have analyzed the growth of breast tumors from a biomechanical perspective and have created a computational model that simulates the invasion process of cancer cells, depending on the characteristics of the surrounding tissue and cell junctions, among other parameters.

Life Sciences - Mathematics -

**05.06.2023** ’Butterfly chaos effect’ discovered in swarms and herds of animals

Researchers at the Universidad Carlos III de Madrid (UC3M) and the Universidad Complutense de Madrid (UCM) have discovered a phase shift between chaotic states that can appear in herds of animals and, in particular, in swarms of insects. This advance may help to better understand their behaviour or be applied to the study of the movement of cells or tumours.

Mathematics -

**21.12.2022**A mathematical model shows a global trend towards mutualism between species

A team led by researchers from Universidad Carlos III de Madrid (UC3M) and Universidad Politécnica de Madrid (UPM) has developed a new mathematical model to study changes in ecological interactions between microbe populations. One of the conclusions they have found is that there is a trend towards mutualism, that is, towards a relationship in which species benefit each other.

Mathematics -

**27.10.2022**Mathematical link between sociopolitical event and advanced cyberattacks

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.

Mathematics - Social Sciences -

**27.10.2022** A new method enables the determination of the dimensionality of complex networks through hyperbolic geometry

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.

Mathematics -

**02.02.2022** A mathematical model may help explain how blood circulates in the brain

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.

Mathematics -

**02.02.2022** A mathematical model helps to explain how blood circulates in the brain

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.

Health - Mathematics -

**14.06.2021**Mathematics to improve macular degeneration treatment

Researchers from the Universidad Carlos III de Madrid (UC3M) have created a mathematical model and simulated numerically the progression of age-related macular degeneration, one of the main causes of blindness. This model can be used to better understand how this disease appears and assess the most effective treatments.

Computer Science - Mathematics -

**10.03.2021** Future virtual fitting rooms

Recerca A team of the University of Barcelona and the Computer Vision Center ( CVC ) have carried out CLOTH3D, the first 3D synthetic dataset at a large scale aimed at the development of deep learning to simulate clothes on different body types.

Health - Mathematics -

**18.01.2021** Metastasis starts

A mathematical study describes how metastasis starts Research by the UC3M and UCM A scientific study carried out by the Universidad Carlos III de Madrid (UC3M) and the Universidad Complutense de Madrid (UCM) has produced a mathematical description of the way in which a tumor invades the epithelial cells and automatically quantifies the progression of the tumor and the remaining cell islands after its progression.