This essay was written by Lower Sixth Form student Rohan McCauley as an Independent Learning Assignment (ILA). It was shortlisted for the 2023 ILA/ ORIS award. The following provides a short abstract of the full report:
Obesity is a huge problem in both the developed and developing world. Rapidly rising levels of obesity mean that every year, a greater proportion of the population is at risk from diseases such as type II diabetes and various cardiovascular disorders. My ILA aims to explore the role of obesogens, endocrine-disrupting chemicals that contribute to obesity, by examining their impact on factors such as adipocyte differentiation and appetite control which lead to weight gain. Understanding obesogens is crucial for effective policy-making and prevention strategies, although it is evident that factors such as diet and exercise are ultimately more significant, and that tackling the obesity epidemic is an incredibly complex issue which requires the consideration of a broad variety of contributing factors.
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This essay was written by Lower Sixth Form student Finlay Sanders as an Original Research in Science (ORIS) project. It was shortlisted for the 2023 ILA/ ORIS award. The following provides a short introduction to the full report:
Many natural phenomena display properties or behaviours more than the mere aggregation of their parts. Humans, for instance, are capable of language, cognition and intricate social behaviours, none of which are properties of individual cells. Similarly, each cell’s functionality arises from the interactions between molecules, even though none possess the cell’s capabilities independently. This pattern, where macroscopic properties arise from interactions between microscopic components, termed ’emergence’, is a hallmark of complex systems. Emergence creates layers of abstraction within a system, where each behaves according to its own physical laws. Formal theories of emergence have already been introduced using information theory, such as in. The contribution of this paper is a novel method of identifying emergence using machine learning. By approximating the dynamics of a complex system at different spatiotemporal scales, I confirm numerically that these layers of abstraction exist, and that the dynamics of each can be learned by a data-driven approach. I evaluate this method using the Classical XY model, a lattice model of statistical mechanics relevant to phenomena such as the melting of crystals, magnetism and superconductivity, as an example. At the microscopic scale, the model consists of a collection of spins on a lattice that can point in any direction in the plane, which operate according to the dynamics of equation 4. At the macroscopic scale, the model is characterised by emergent structures termed ’vortices’ and ’anti-vortices’, which describe topological flaws where groups of spins make a 2π rotation either clockwise or anticlockwise, that follow Coulomb dynamics. To this end, I propose a dual pathway approach to predicting the trajectories of spins and vortices using graph neural networks. First, I trained a model to predict spin dynamics, from which the vortices could be extracted. Second, I trained a model that bypasses spins, instead directly predicting vortex movements. By drawing parallels to commutativity diagrams, I demonstrate that both pathways converge to accurate vortex predictions, even over extended rollouts.
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This essay was written by Lower Sixth Form student Shrey Bijlani as an Original Research in Science (ORIS) project. It was the winning submission in the STEM category of the 2023 ILA/ ORIS award. The following provides a short abstract of the full report:
The N13 potential is a response in the spinal cord in humans that is thought to reflect post-synaptic activation of neurons. Recordings from rats show the N13 potential has an analogous N1 potential in the rat and might be useful for developing new drugs, however the precise location this potential originates from remains uncorroborated. Electrophysiological experiments were performed to analyse this, and subsequently, tissue was extracted from rats and stained accordingly. The results show that the probe was positioned approximately 1.2mm deep and 0.5mm laterally with the tip of the probe ending in lamina V. When compared to electrophysiological data, this confirms that the origin of the N13 potential is located within lamina V, supporting the conclusion that the initial response was mediated here.
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This essay was written by Lower Sixth Form student Ben Tabberner as an Independent Learning Assignment (ILA). It was shortlisted for the 2023 ILA/ ORIS award. The following provides a short introduction to the full essay:
“It’s a high time for Hypersonic Missiles”1 is a line from one of Sam Fender’s best-selling songs. Looking at the line in the context of the song, it is a plea to society to do something meaningful with their lives because hypersonic missiles have the potential to destroy life as we know it. For example, a hypersonic missile launched from Moscow now could strike London with a nuclear warhead in under 10 minutes. Such missiles are disrupting the relative security that the world has felt since the end of the Cold War. Since ex-United States Secretary of Defence Robert McNamara’s suggestion of Mutual Assured Destruction (MAD) in the 1960s the world has been living in relative comfort in the belief that no superpower will strike another for fear of ‘Mutual Destruction’. Hypersonic missiles may allow any country who has them to make a nuclear strike with more success. Mutual Assured Destruction relies on different countries’ military forces being equal – hypersonic missiles disrupt this balance because of the reduced response time and difficulty of defending against them. They have put the world in a precarious position; the ‘Destruction’ in Mutual Assured Destruction may not be ‘Mutual’ at all. Is it therefore time to look for a new way forward which will give the world a new era of relative peace?
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This essay was written by upper-sixth former Archie Forsyth, and shortlisted for the 2020 Independent Learning Assignment. The following provides a short abstract to the full essay, which can be found at the bottom.
Estimated read time of abstract: 2 minutes Estimated read time of essay: 20 minutes
In my ILA I explain the premises and applications of a variation of Newtonian mechanics called ‘Lagrangian’ mechanics and then go on to derive a differential equation that describes the motion of a double-sprung pendulum in three dimensions and then obtain its path of motion through coding a fourth order Runge-Kutta numerical solver.
In short, Lagrangian mechanics uses Newton’s three laws of motion and slightly alters their form in order to make them more applicable to more complicated systems, including systems such as pendulums which are best described using polar coordinates. What makes this possible is the application of the Euler-Lagrange (E-L) equation, which involves differentiation, to the Lagrangian of the system. The Lagrange is simply the kinetic energy of the system minus the potential energies and when the E-L equation is applied to it, these energies are converted into an equation for the forces acting on the masses in the system and thus, dividing by the mass, a differential equation that describes the motion of the system.
The next section of my ILA is a brief explanation of what a chaotic system is and that it is not always necessarily a complex system, for instance, take a double pendulum, i.e. a pendulum attached to the base of another pendulum. This is a very simple system however it is extremely chaotic, which is to say that the slightest change in its initial conditions, in this case angles from the equilibrium positions of the pendula, length of pendula and the greatness of the masses, greatly affect the system’s path of motion.
From here the first major section of work begins as I derive a differential equation that describes the motion of first a double pendulum in polar coordinates (in 2-D) and then a double sprung pendulum in Cartesian coordinates (in 3-D). To demonstrate the effectiveness of Lagrangian mechanics, I derived the equation describing the sum of the forces acting on the masses in the double-sprung pendulum using both ordinary Newtonian mechanics, i.e. vector forces, and Lagrangian mechanics to show how much faster and more reliable it is to use the Lagrangian method.
The final part of my ILA is the code that I made to find the path of the double-sprung pendulum’s motion. It is, as described before, a fourth order Runge-Kutta numerical solver, which uses an iterative method based on setting a fixed time difference and calculating the acceleration and velocities at the end of each of those time differences, which can be substituted back into the equations for acceleration to give a new coordinate, repeating this process many times so that you can find the coordinates of the masses after a given time. The code achieves this and allows for the choosing of the initial conditions, which are the spring constants, the unstretched lengths of the springs, the initial coordinates of the masses and the magnitude of the masses attached to the springs.
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This essay was written by upper-sixth former Theo Lakin, and a finalist for the 2020 Independent Learning Assignment. The following provides a short abstract to the full essay, which can be found at the bottom.
Estimated read time of abstract: 3 minutes Estimated read time of essay: 30 minutes
In my ILA I investigate the various aspects of Down’s syndrome, looking into not only the genetics but also looking at its influence on life, for that of the person with Down’s syndrome and those around them.
Down’s Syndrome (DS) is a genetic condition which entails a set of physical, mental, and functional abnormalities as a result of an extra copy of chromosome 21 in the human genome, making 3 instead of the usual pair of two. This occurs during the creation of human sex cells (gametes) through meiotic division. It is a phenomenon known as trisomy 21, and it occurs in around 1 in 1,000 live births worldwide [THOMAS, 2019].
DS entails a set of very similar physical and mental characteristics for those who have it, albeit with some variation. Those with DS are also more likely to develop visual and aural impairments and are at an increased risk of leukaemia and Alzheimer’s disease. [NIA, 2017]. People with DS have an increased risk of cardiac disorders, most of which are congenital i.e. present from birth. Congenital cardiac disorders are present in around 40-60 percent of babies born with DS [PASCALL, 2015].
Individuals with DS notably have behavioural and mental features as a result of their genes. These learning disabilities mean that it takes longer for them to develop certain skills, however level of ability certainly varies from person to person. In the past the impairment of learning ability has been overemphasised, and full potentials have only been realised in recent years due to an access to adequate education, and widespread societal acceptance.
The genes of those with DS are the same as everyone else’s, just with an extra 1%. This is a very small amount in comparison to the whole human genome, meaning that all the rest of the genetic information is the same as it would be if the person did not have DS. [KESSLING, SAWTELL, 2002].
People with DS are known for being particularly affectionate and happy, with an excellent outlook on life.. Over time, most teens and adults are competent with self-help and daily living skills which often allows them to lead semi-independent lives. With correct support and ambition, those with DS can strive for personal achievements such as being able to ride a bike, cooking their own meals, going to college, getting married and having a full-time job.
A survey was completed in 1999 which concluded that teenagers with DS educated in mainstream schools are gaining considerable benefits in academic skills, communication skills and social independence [BUCKLEY, BIRD 99]. Information was collected on a wide range of issues including, health, behaviour, sexuality and social lives in addition to personal and social independence, communication skills and academic progress. The general trend showed that on average those with DS from a mainstream school were more competent with these tasks than those from the special schools. The other classmates also learn a great amount too, and it provides a valuable and eye-opening experience for everyone else within that school.
There is no doubt that there is a truly special benefit these people with DS give to life for those around them. In a large-scale, population-based study, significantly lower divorce rates were found among families of children with Down syndrome (7.6%) compared with those of children with no identified disability (11.2%). [URBANO, HODAPP 07] This is a remarkable statistic as it shows that something like a disability does not break families apart, but instead seems to bring them closer together.
When I was 5 years old, my younger sister, Lia, was born and diagnosed with Down’s syndrome. While Lia (now 11) is a little different to others her age in some ways, most ways she is just like any other child. She is funny, ambitious, curious and just as annoying as my older sister. We share the same sense of humour and watching her take pride in her own achievements and activities is incredibly special.
I hope you enjoy reading my ILA and seeing my conclusions I draw from various studies and scientific data.
Sienna (left), Lia (centre), Theo (right) at Bodiam Castle
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This essay was written by upper-sixth former Ollie Jansen, and shortlisted for the 2020 Independent Learning Assignment. The following provides a short abstract to the full essay, which can be found at the bottom.
Estimated read time of abstract: 4 minutes Estimated read time of essay: 20 minutes
How Has the Development of The da Vinci ® Surgical System Transformed the Future of Mitral Valve Repair Surgery?
There have been monumental advancements in robotics over the last 20 years which have allowed for new and exciting innovation in the field of robotic surgery. The technology developed allows surgeons to perform a variety of complex procedures with more precision, flexibility and control than seen with conventional techniques. The surgeon is able to operate from a computer console next to the patient which provides a magnified 3D view of the surgical site and gives the surgeon complete control over the mechanical surgical instruments used to operate. The availability and potential of this technology poses a serious question: is it safe and effective for surgeons to operate on a patient’s heart with a surgical robot? Mitral valve repair (MVR) is the leading field of robotic heart surgery and this is the area of heart surgery that the da Vinci® surgical robot has had the biggest impact. This ILA evaluates the safety and efficacy of robotically assisted MVR, and how the development of this technology affects the future of MVR surgery.
The procedure follows a similar technique to median sternotomy and right lateral minithoracotomy, with the major difference being the access ports and the instruments utilised. Access ports are placed through the right chest, including a 40mm minithoracotomy working port with a soft tissue retractor when a Chitwood clamp is used for aortic occlusion, and a 15 to 20mm working port when an intraortic balloon is used . The occlusion of the ascending aorta can be performed by either of these methods. Right internal jugular and femoral veins are cannulated for CPB . The left robotic arm is inserted through the third intercostal space in the anterior-axillary line and the right arm is inserted through the sixth intercostal space in the mid-axillary line . The chest cavity is flooded with CO2 to mitigate intracavity air. Standard mitral valve repair techniques are used in the same way as conventional surgery. Posterior leaflet prolapse is treated by triangular or quadrangular leaflet resection, sliding repair , folding valvuloplasty and insertion of polytetrafluoroethylene (PTFE) chords. Anterior leaflet prolapse is mainly treated by the insertion of PTFE chords , with some cases treated by chordal transfer. All valve repairs include an insertion of a flexible annuloplasty band with a 2-0 polyester suture. A technique developed in 2009 allows for the annuloplasty band to be inserted using running annuloplasty sutures that require fewer steps than individual mattress sutures. This effective method allows for the annuloplasty band to be inserted much more swiftly, reducing aortic cross clamp and CPB times.
In a study conducted by Gillinov et al at the Cleveland clinic, published in 2017, the first 1000 cases of robotically assisted mitral valve repair were analysed. This study thus provides an unparalleled insight into the safety and effectiveness of this surgery. Mitral valve repair was achieved in 989/992 patients (99.5%), with 97.9% of these patients having no or mild mitral regurgitation at discharge. These outstanding results of the success rate of robotically assisted MVR are comparable to several other clinical trials with the same objective. In this trial, 20 patients were converted to a full sternotomy (mostly due to inadequate access due to excessive bleeding and inadequate repair). It is crucial that there should be a willingness to convert without hesitation from the robotic approach to a conventional approach if it appears to compromise surgical outcome.
It is very clear that robotic mitral valve repair is a safe and effective alternative to conventional repair techniques. There are several key advantages that must be considered. Firstly, enhanced surgical dexterity is allowed, which results in increased precision in a tight area. A motion filter in the da Vinci® system prevents unintended movements caused by human tremor, which further enhances surgical precision. Secondly, high definition, 3D visualisation allows the surgeon to view the inside of the left atrium with line of vision parallel to the blood flow in the valve. This kind of visualisation is unattainable in other techniques and gives the surgeon an excellent roadmap to perform the repair. Thirdly, the cosmetic results are dramatically superior to alternative techniques due to discrete incisions used for access ports. Fourthly, because of the avoidance of median sternotomy and reduced surgical trauma, post-operative pain is much lower and recovery times are faster. The DaVinci® robot rotates around a pivot point near the patient’s ribs, minimizing physical pressure on sensitive nerves and tissues. Finally, the risks associated with postoperative infection are significantly decreased. When this is combined with standard practice broad spectrum antibiotics, the risk of infection is minimal.
I believe that the introduction of the da Vinci® surgical system into mitral valve repair has completely transformed the field. It has led to a new standard of patient care amongst cardiothoracic surgeons: the thorough examination of the specific positive and negatives of each type of MVR surgery allows for surgeons to really evaluate what is best for their patients and discover how they can provide the highest standard of care. Furthermore, the confirmation that the da Vinci® surgical system is safe and effective bodes extremely well for the future. In the future, surgeons will become increasingly comfortable with using surgical robotics, which will allow for a seamless introduction of robotic techniques to other areas of cardiothoracic surgery. I think that if robotic mitral valve repair continues to persevere as an effective treatment, it absolutely sets the standard for the integration of surgical robotics into cardiothoracic surgery. Robotic mitral valve repair is so transformational to the future of mitral valve treatment: it creates a diverse armamentarium of surgical techniques allowing for the treatment of each patient to become even more individual to a patient’s needs. Robotic mitral valve repair completes an extraordinarily high-quality plethora of surgical options which enhances the ‘gold standard’ of mitral valve repair to an even higher level.
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This essay was written by upper-sixth former Muhammed Hussain, and a finalist for the 2020 Independent Learning Assignment. The following provides a short abstract to the full essay, which can be found at the bottom.
Estimated read time of abstract: 4 minutes Estimated read time of essay: 60 minutes
The following Preface is an extract from my ILA that serves as an overview of both what my ILA entails and of the process in writing it:
Preface
It was nearing the deadline for submitting the title for my ILA and I had still not given the project much thought. Forcing myself to choose a topic on the final day of the extended deadline, I was deliberating going down one of two routes; the easy yet laborious, or the difficult but enjoyable. After taming down my ambitions I went with the former and submitted that in thinking the route would be less bumpy.
Fast forward a couple of days and I am at my desk looking at my blank screen titled, “How Immigration affects the Local Economy.” Finally I come to the realization that this is going to be a reading fest, examining 30 odd articles and picking out what is relevant for me, only to come up with a conclusion that mirrors someone else’s with data that has been sourced from someone else. What would be my input? Besides, the title itself was bland and monotonous, exactly not what I wanted my ILA to encompass.
So, I had to start from scratch with Mr Bradford (our ILA director) thinking I was some labour economist. This time I decided I would go down the other route titled: “Are in-app purchases a scam?” Being a frequent app gamer and statistics enthusiast, I thought this was the perfect idea until I became aware of its potential downfall: the countless different app genres and in-game purchase functions. For example, in one game “gems” might be spent trying to summon a character from a pool, in another “stones” may merely speed up time. Trying to make comparisons of the value of in-game currency between two distinct games (whose currency served different functions) would be very difficult, let alone quantifying the value of speeding up game time itself.
With the help of Mr Xuan (my ILA supervisor), I managed to narrow down my appetite to a more specific genre, gacha: the controversial Japanese lootbox1 extraordinaire now common in western app stores and perhaps the biggest “socially approved” scam out there. Having played these games before and having previously meddled with statistics in the context of these games, I realized there was a much bigger section of this topic to be explored using more elements of statistics, I at the time did not know of.
I wanted my ILA to be truly independent, in other words, I wanted most of the research to be my own, using my own unique methods and coming up with my own conclusions about these games. That’s why choosing such a niche topic that had not been previously explored, bar the odd superficial statistical analysis by players in the games’ communities, was perfect for my goal.
However, there were two large problems that I immediately faced as I tried to change subject from in-app purchases as a whole to the specific genre of gacha. Firstly, gacha was too specific and foreign a genre that many people did not understand the complicated terminology associated with it. Being an avid gacha gamer myself did not help either, as it was difficult to gauge what a stranger to the game would not at first understand. In fact, after submitting my first draft for approval, those who had played such games prior to reading my draft had good things to say about it, as opposed to those who hadn’t who struggled to get past the first couple pages. To fix this, I decided to restructure my ILA so it was more easy to follow, add a definitions page for any foreign vocabulary, buff up the introductory explanation of gacha, and finally add footnotes to parts that may not be fully accessible to a lay reader. This came with a downside in that my essays’ word count ballooned to make up for the more detailed explanations.
The second problem was perhaps the bigger of the two. Having already written a large amount for my old topic of in-app purchases it was painful to cut out the now irrelevant sections. Changing topics immediately made the vast proportion of my then ILA redundant. My over attachment to what I had previously written made it difficult to cut stuff out on the basis of forcefully made reasons explaining their relevance. This resulted in an ILA which lacked a coherent structure and clearly looked as if someone had changed ideas halfway through writing it. In the end I managed to overcome this issue with the help of Mr Xuan (…again), by planning my new essay and ruthlessly extracting only the relevant parts from my old ILA, editing them slightly before inputting them into my new one.
The end product was an ILA dipped in statistical analysis, coated with behavioral analysis with a sprinkle of scorn on top. I understand some of this analysis does not apply to the whole gacha genre, indeed there are some games which are not so much of a scam but more a delight to play. This essay was mainly aimed at targeting the so-called gacha mechanism in popular gacha games that have, in some cases, been criticized as “scam-like” or close to “gambling” by many game critics.
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This essay was written by upper-sixth former Chris Ratcliffe, and a finalist for the 2020 Independent Learning Assignment. The following provides a short abstract to the full essay, which can be found at the bottom.
Estimated read time of abstract: 1 minute Estimated read time of essay: 30 minutes
In this project I explored the possibilities of converting a Boeing 737800 Commercial Jet to battery power. Beginning with finding the minimum power requirements for flight by two methods; calculation and then modelling to improve the accuracy. Then finding the necessary battery requirements within a weight limit that would replace the fuel load directly to see if the conversion is feasible. In addition, an investigation into aerofoil design was undertaken as the electric plane was found to be most efficient at slower speeds. In order for this to be possible, a wing shape optimised for slower speeds was designed.
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This essay was written by upper-sixth former Ben Perryman, and shortlisted for the 2020 Independent Learning Assignment. The following provides a short abstract to the full essay, which can be found at the bottom.
Estimated read time of abstract: 2 minutes Estimated read time of essay: 20 minutes
Encryption
Encryption is a vital tool in many different aspects of life both today and in the past. I wanted to do an ILA on the topic to expand my own knowledge of both the concepts involved and different historical events where encryption and decryption were vital, such as the execution of Mary Queen of Scots or the Battle of Britain. Additionally I wanted to use the opportunity to expand on my knowledge of computer science and I endeavoured to create most of the ciphers that I studied using python.
First I looked into the different methods of keeping information secure, and narrowed the scope of my ILA to just look at forms of encryption that involved a key. The first of these was the Caesar Cipher, named because Julius Caesar used it in his private communication to keep his servants from reading his messages. This involves shifting the entire alphabet by a few spaces, and then changing each letter accordingly. This is an easy cipher to use, and just as easy to decipher as there are only 25 ways of hiding your message.
Caesar Ciphers were not secure enough for formal communications as the need for secrecy increased and so the permutation cipher was developed. To encrypt a message with a permutation cipher you create a map which links all letters to other letters, for example A could be linked to Q. This makes it much harder to check all combinations, but each letter is still mapped to another letter, and so if you find out a few letters, you can quickly decipher the whole message. Permutation ciphers were used for thousands of years, with examples being seen in ancient times and up to the 1900s, however generally they became obsolete in the 16th century and were replaced by the Vigenère cipher. This used a combination of Caesar ciphers, but it used a key phrase to determine which alphabet to use and the phrase was only known to the users of the message. This could only be deciphered if you knew the message, however when it was used on a large scale, such as in the American Civil War, finding out the phrase could be done with a single captured soldier and changing the phrase took days. This was the hardest cipher for me to code as it involved a lot of linear algebra and matrices.
Modern Encryption is built upon public-key and other forms of RSA encryption, because the internet relies upon fast transmission of data and this data must be kept secure. RSA is the perfect cipher for this as it is able to encrypt data efficiently. To decipher RSA one must factorise a number with thousands of digits, which cannot be done with computers in a reasonable timeframe. Quantum computing presents a threat to this, as it is able to factorise numbers very quickly, but for now quantum computers are not powerful enough to decipher RSA. A question I wanted to answer with my ILA was whether or not encryption was at risk of being widely broken; however looking at futuristic forms of encryption such as quantum encryption showed me that even though new methods of deciphering messages were being developed, encryption was developing at an even faster rate. Quantum encryption was the only form of encryption I didn’t write using code, as it relies on the quantum laws of uncertainty to work, and these are very difficult to model. Furthermore it has only sent messages a short distance, but quantum encryption is an amazing form of encryption, because it is built upon the laws of physics, so unless the laws are wrong, it is theoretically unbreakable.
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The Unchained Library 