With the world population growing by around 80,000,000 people per year 🌍, we are facing the challenge to ensure worldwide food security whilst dealing with increasingly degraded soils available for crop production 👩‍🌾. In the developed world, synthetic fertilizers are often used to make sure that crops have the nutrients they need to grow. This is extremely damaging to the environment, however, due to the resultant contamination of water supplies💧and emissions released during production contributing to climate change ☀️ ❄️.
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Although soils may have low levels of nutrients, over 78% of our atmosphere is nitrogen 💨! Plants are unable to use this themselves; however, special ‘Nitrogen-fixing’ bacteria in the soil are able to take this nitrogen and transform it into a form that can be used by plants 🔁. A solution to eliminating the need for synthetic fertilizers is, therefore, the formation of these interactions between plants and the special soil microbes 🦠. Currently, legumes such as peas and beans are able to do this, but the most important and widely used cereal crops such as wheat 🌾, rice 🍚 and maize cannot; this is where the maths comes in! 🎉
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Maths can be used to simulate the series of chemical reactions that must take place in plant root cells, on detection of these microbes, in order to utilize the nutrients. In doing this, it has been discovered that specific patterns of calcium concentration are required 📈. Mathematical equations are then used to model the movement of calcium through the cell, as well as the reactions between calcium and other ‘messenger’ molecules. This involves using computer programmes to simulate changes in calcium patterns between the time when the microbe arrives at the root and when the nutrients are transferred into a form that can be used by plants. If we can understand these processes in legumes, then we can encourage crop plants to do the same!🌾🎉
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Similar models of calcium signal generation are also used in human applications. For example, it is an elevation of calcium concentration in the heart that allows it to beat! Abnormal patterns of calcium in the heart can cause electrical malfunctions and an irregular heartbeat ❤️.

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This research is being undertaken by Hayley Mills at the University of Nottingham. 🙌🏻

From modelling the flow of poisons through the body ☠️ to analysing the trajectory of a bullet 🔫 to the statistical analysis of DNA found at a crime scene🧬; maths is used so much in forensics. We have already seen that maths is crucial in analysing any blood that is found at a crime scene🩸(part 1). We will now look at the importance of maths in the prediction and prevention of crime!
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But how can we possibly know when and where a criminal offence is going to take place?! Well, just like the rest of us, criminals can be very predictable. For example, a criminal is unlikely to want to travel a long way to commit a crime but is also not likely to want to do it right on their own doorstep. Using knowledge of crime patterns like this, with lots of data from past crimes, mathematical algorithms can be created to predict where and when crimes are most likely to occur! With this knowledge, police officers can be assigned to locations in the most effective way👮‍♂️👮. An example of this is the predictive policing company PredPol, which has resulted in a decrease in crime rate in several areas of the US. Even just knowing that this method is in place could deter any potential criminals and prevent a crime from happening in the first place! So bank robbers watch out…the police are armed with mathematics!

Ever wondered what they actually do with a taped off crime scene on CSI? 🤔They do maths!😁 From finding a victims time of death to removing the blur from a speed camera image or finding crime hotspots, maths is used so much in forensics. This is the first of several posts that will explain how!
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Maths is crucial in analysing any blood that is found at a crime scene in order to find: where the victim was positioned, what weapon was used and if the body has been moved etc. Knowing this info gives us a better understanding of the sequence of events that occurred and therefore helps to catch the correct attacker! 👮‍♂️
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Most blood at a crime scene will be the result of a blood spatter from an injury and so will not drop vertically to the ground but at an angle. This means that the blood drops will form ellipses on the ground or surface (not circles). We can use the shape and location of these ellipses to tell us about where the blood came from! By drawing a line through the long axis of each ellipse and extending these lines until they intersect with one another, we find the most probable location of the attack (at the point of intersection). We can then use trigonometry to calculate the most probable height at which this wound was created since the size of the long axis of the ellipse compared to the short axis tells us the angle the blood was spattered from (called the angle of impact). The size of the blood stain tells us about the type of weapon that was used since a smaller stain was likely produced by a higher energy transfer like a gun shot 🔫. Maths can also be used in these blood analyses through the modelling of the projectile of the spatter (involving forces like gravity and drag) and the fluid dynamics of the blood.
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#usingmaths #appliedmathematics #maths #mathschat #forensicscience #bloodanalysis #crimes #stem #stemeducation #keeplearning #coolfacts #scicomm

These 4 extremely different animals (and others) have been found to use the same patterns of movement when searching for their prey. These mathematical patterns, called ‘Levy walks’, optimise the animals efficiency in finding their next meal and hence filling their bellies.👅
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Each step of their movement is chosen randomly and so is not affected by any steps that have already been made (like Dory 🐠 swimming with her short term memory loss). Some steps are more likely than others, however, (since they are picked from a heavy tailed distribution) and the larger the step distance, the longer it will take before the following step occurs ⏱. This results in lots of short steps as well as the occasional long journey. If a shark can’t find food for example, it might travel a long distance to an area like a coral reef and then take lots of small, random ‘steps’ to look around for the tastiest fish to feast on 🦈.
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This process can also model stock prices or even social media/general web browsing 💻.
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#appliedmathematics #randomwalk #brownianmotion #animalmovement #foraging #sharks #predators #hunting #maths #mathsinlife #stem #scicomm

It’s not for everyone, but we can’t deny that online dating has lead to the start of a significant number of relationships in the past couple of decades. Some of these likely ended after a few months, but for some, online dating allowed them to find the love of their life for which I’m sure they will be forever grateful 👩‍❤️‍💋‍👨…and you guessed it, it’s all down to maths👌🏻🎉
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Dating websites find your matches using a set of rules (an algorithm). For the site OK Cupid 💘, this algorithm is based on answers to multiple choice questions. As a user, you answer as many multiple choice questions as you like, as well as giving the answer you would like your potential date to choose and a measure of the importance of that question in your eyes 👀 (is it a deal breaker if they leave the toilet seat up? 🚽❌)
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Your potential date is then given a score based on their answers to the same questions, weighted by the importance of those questions in your eyes (you also receive a score weighted by their views on each question importance).
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Finally, a match score is decided by multiplying each of your scores together and then taking the nth root where n is the number of questions you answered in common. The higher this match percentage is with someone, the more likely you will show up in their top results 👋🏻 (and for them to be in yours).
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Even tinder has a mathematical method to it’s madness in order to determine who you are more likely to see pop up. For this one, it seems that scores are given based on how many people swiped right to you and these are weighted by other factors such as the swipers likelihood to swipe right etc. You are then more likely to see the people that have a score similar to your own.
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So could cracking the maths help you find your one true love? 🤷‍♀️❤️
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#appliedmathematics #findinglove #maths #mathsinlife #dating #tinder #mathsfacts #algorithm #scicomm

What we call a hydrological model, is a way of looking at the changes in water resources within the water/hydrological cycle 🔁 (this is the cycle of water through the earth and its atmosphere by evaporation, condensation and precipitation). Examples of water resources in these models include ice and snow ❄️, rivers, runoff, streamflow, groundwater and oceans. Maths is used to make estimates about water runoff (excess water across the land), in order to help determine future patterns of flooding or drought.
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We divide the surface of the earth into a grid with (x, y) coordinations to define locations across the globe 🌎🌐. Mathematical equations are then used to model how water from one gridcell will flow downhill into another based on the shape of the land. The soil and bedrock are also mathematically modelled (these are assumed to only take in a specific amount rainfall so the extra rainfall becomes surface runoff).
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The results from these models can then be used to make estimations about the amount and distribution of water in a certain area. Using this data we can calculate flood and drought risks over time as well as the water availability for human use 🥛, the environment 🌳 and agriculture 🌽.
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This research is being undertaken by Lorna Burnell at the University of Nottingham. 🙌🏻
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#appliedmathematics #usingmaths #environment #water #cycle #hydrologicalmodelling #floodrisk #droughtrisk #stem #communicatingmaths #scicomm