Learn the Art of the Science and the Science of the Art by Leonardo Davinci
The re-convergence of science and fine art might be about to receive the ultimate catalyst. A grouping of scientists aims to sequence the genome of Leonardo da Vinci, arguably the greatest genius of all time. Leonardo was born in the small Tuscan town of Vinci in 1452.
Through his meticulous note-keeping and astonishing artistic work he is considered as the archetypical polymath, equally at home in the arts and sciences. Sequencing his genome will, it is hoped, enlighten us on many aspects of the nifty human. Centre colour, sexuality, size, and maybe even glimpses of genes that underpinned his genius.
"The Leonardo Project" is the latest in a spate of archaeological DNA sequencing projects, made possible equally nosotros accept learned merely how resilient Deoxyribonucleic acid can be and the always advancing applied science allowing usa to read its lawmaking. The famous double helical structure has survived intact in the bones of King Richard III, Spanish writer Cervantes and the Russian tsar.
Beyond that, 100,000 year one-time Neanderthal bones have yielded their genetic secrets. Bones are particularly good at preserving Dna and digging up Leonardo would offer a good way of getting there. Still, although reportedly cached in St Hubert'southward chapel in the Chateau d'Amboise, in the Loire valley in France where he spent his concluding years, no grave is marked and his whereabouts is unknown.
Function of the Leonardo Project aims to seek his bones using ground penetrating radar. Even without his bones, the team hope they might exist able to detect remnants of his DNA from other items. Forensic science has shown that Dna is establish in virtually of our human being-derived material too, saliva for instance. Its bang-up stability allows it to survive for many years, provided conditions are suitable. Leonardo may accept used his saliva to dilute ink or paint used in his notebooks and artistic piece of work. He also painted with his finger as well every bit brushes and information technology is conceivable that pare cells, forth with their Deoxyribonucleic acid, could have been mixed with paint and embedded in the paintings themselves.
Leonardo'southward Lady with an Ermine was shown, in the early 1990s, to incorporate at its surface one of Leonardo'due south fingers prints, and other works attributed to him have similarly been proposed to have preserved such prints. Mayhap a hair could be found amongst leaves in his notebooks or other possessions besides. The team are seeking permission from the Queen and Bill Gates, among other owners of Leonardo'due south objects, to admission any material where DNA might be found.
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Apart from finding out about the smashing man himself, the project will, surely, spark more enthusiasm about the arts and scientific discipline interface. The University of Glasgow is currently starting a billion pound investment programme to create an innovation quarter, centred around a new research hub that brings together cutting border research in science and technology alongside the arts and humanities to revitalise the classical concept of the "University" as a site of universal learning.
Da Vinci is often considered the first truthful scientist, and yet for many it is his works of fine art that are best remembered. Leonardo himself considered painting to exist more science than art, seeing each discipline's ultimate aim to let interpretation of the globe. Classically art achieves this through the homo senses while science takes things further, exploiting instruments to notice things beyond our sensory perception. From the microscope to the mass spectrometer, science aims to brand perceptible that which is imperceptible to the human senses.
Much of Leonardo'southward work and his extraordinary inventiveness, aimed to create novel methods, exploiting laws that could be captured through mathematical notation, assuasive him to interpret the world more clearly and interpret it into forms that others might see more conspicuously besides. It was Glasgow'due south Lord Kelvin in the late 19th century who said:
"When you can measure what you lot are speaking about and it express information technology in numbers y'all know something about it; but when you lot cannot measure it, when yous cannot express it by numbers, your cognition is of a meagre and unsatisfactory kind."
Leonardo concurred; capturing truths in numbers, he believed, allowed the recapitulation of nature across our ken. Past post-obit lines along their trajectory, for example, information technology becomes possible to extrapolate their source across a point where they might fall across our field of view. For example, if we encounter two not-parallel paths running together but disappearing from view at the horizon earlier they accept met, unproblematic mathematics, extrapolating the trajectories of the pathways, can readily tell u.s.a. where the convergence betoken is, fifty-fifty though invisible to our optics. In this way Leonardo literally painted by numbers!
Many mathematicians speak of the beauty associated with their subject, and the film A Cute Mind attempted to portray some of that notion. The great Cambridge scientist, GH Hardy, believed that maths for the sake of maths, had all of the artful qualities of the finest art. Ironically, his proper name is now best remembered in the field of Genetics through "the Hardy-Weinberg" equilibrium, which provides the mathematical caption about the inheritance of genes.
In that location is a profound aesthetic to mathematics. Leonardo was obsessed with the findings of the thirteenth-century Italian mathematician Leonardo Fibonacci, who had noted a series of numbers 1, 2, three, five, viii, 13, 21, 34, 55… in which the next number in the series is the sum of the two preceding numbers.
Dividing whatever number by its predecessor besides gives a ratio converging towards 1.61, the so-called "divine proportion", which is institute repeatedly in nature (for example a snail's beat out spiral formation, the arrangement of petals in flowers and across), and, either through intention or by intuitive adherence to nature'due south aesthetics, repeatedly in art. Humans accept a remarkable affinity for symmetry, and symmetry is a recurring theme in nature; just wait at the mirror image to halves of the human body.
It is the precision of maths, its immutability that allows its recurrent use in descriptive science. It can even offer discrete numerical quantification to uncertainty through the invention of probability in statistics. Probability is of fundamental use in scientific inquiry where we seek levels of conviction associated with our measurements of natural systems, with all of their inherent variability and noise.
The arts and sciences take continued to influence ane another profoundly, even whilst considering the divide defined by CP Snowfall in his 1952 essay in the New Statesman every bit "The Ii Cultures". Look, for instance, at the evolution of cubist fine art, jazz music, modernist poesy and literature – tracking the ground breaking scientific work of Einstein, Schrodinger, Heisenberg and others who were redefining the physical world through the implications of relativity and quantum mechanics.
TS Eliot'southward famous lines in his 1930 poem Ash Midweek reflected his bewildered reaction to the implications of Einstein'due south relativistic universe and the space fourth dimension continuum:
"Because I know that fourth dimension is e'er time
"And place is always and only identify
"And what is actual is actual only for one time
"And only for one identify
"I rejoice that things are as they are . . . "
By 1936, in Burnt Norton, the showtime of his "Four Quartets" he had tried to reconcile himself. The cliffhanger at the difference from the sensory norm, nevertheless, remained:
"Fourth dimension present and fourth dimension past
"Are both maybe present in time future
"And time future contained in time by.
"What might accept been and what has been
"Signal to one stop, which is always nowadays."
Eliot's poetry itself is considered the greatest of the modernist approaches. He sought to integrate the inner processes of thought, triggered by perception to the outer world and their joint through the written and spoken word.
The psychology of Sigmund Freud was part of this mass movement as well. Cultural shifts follow directly from scientific insights. Science and art unite in transforming human understanding of the world. As the twentieth Century shows, societies shift too. The First World War was fought, communism and fascism emerged, some other state of war then reached its sobering climax when atomic bombs were unleashed on Japan in 1945.
Similar Einstein, who despaired at the evolution of the atomic flop stemming from his ideas, Da Vinci was a pacifist, admitting a pragmatist who, amongst a multitude of other inventions, produced plans for a primitive armoured tank and auto gun.
Leonardo, through the unified use of his fine art, maths and scientific discipline wished to capture and portray the natural globe in ways hitherto non achieved. How, for instance, could the 3-dimensional perspectives offered by human binocular vision be captured on the two dimensional medium of newspaper or an artist'southward canvas, wall or panel?
He was obsessed with perspective; how things change when viewed from dissimilar angles and the role of calorie-free and the casting of shadows. His notebooks heave with efforts to accomplish this. We tin see the first attempts at anamorphic art, where an image changes in advent depending on the field of view. This simple drawing from his notebook viewed straight on looks like a random collection of lines.
Figure i. Da Vinci's anamorphic sketch of a child'south confront.
Viewed from side on from the correct, however, the differently sized optics and squashed face resemble far better an infant's face. By 1533 Hans Holbein was painting the almost famous anamorphic painting The Ambassadors, at present hanging in London's National Gallery, in which the face up on view shows a foreign distorted hulk in the painting foreground, which converts to a clear depiction of a skull when viewed side on. Modern inquiry shows that Holbein used a mathematical inverse trapezoid transformation to create the upshot. Prudent use of mathematics has, for many centuries, underpinned great art.
For Da Vinci, the eye was the window to the soul. The seventeenth century British Physicist Isaac Newton agreed. Much of Newton's ground breaking work in physics was driven past his desire to understand how we see things, and perspective. He was the natural heir to Da Vinci.
In late life Newton was near blind, having poked, probed and abused his ain eyes to a ridiculous caste, exposing them to flashes of powerful illumination, desperately testing theories of low-cal and how we perceive it. Newton'southward second book Optiks is for some greater than his more famous volume on pure physics, the Principia.
Da Vinci's best known work is the Mona Lisa, a surprisingly diminutive portrait (77 x 53 cm), presumed to be of Lisa del Gioconda, wife of a wealthy Florentine business organization man. The portrait took nearly 4 years to paint from its kickoff in 1503. Leonardo kept the portrait to himself, refusing to part with it while he lived. For 500 years, the Gioconda has been picked to pieces by theoreticians, fine art historians and scientists too. Yet boggling discoveries go along to catamenia.
Exciting, recent enquiry, for instance, indicates that two versions of the painting were produced in the same studio simultaneously. In addition to the iconic painting hanging in the Louvre, a 2nd version hangs in the Prado in Madrid. The Prado Gioconda, every bit this second painting is called, is of exactly the aforementioned dimensions as the other.
For many years it was dismissed equally a vulgar copy. However, the application of scientific imaging engineering, including Ten-rays and infrared reflectography, revealed that beneath a blackened background that had been added to the Prado version after 1750 (proven using chemical profiling, which revealed the backing paint to contain linseed oil which was but introduced in the mid-18th century) was the same properties establish in the more famous version. The added overpaint was duly removed as the painting was restored revealing the original background.
In 2012, Claus-Christina Carbon and Vera Hesslinger working in Federal republic of germany and then made an extraordinary ascertainment. The Prado and Louvre versions of the painting showed the same model but from slightly different perspectives. The Prado version was viewed a few centimetres to the left of the Louvre one, and a little scrap closer. Carbon and Hesslinger take proposed that the intention was to view the 2 paintings side by side, by using a technique scientists regularly utilise to create three dimensional stereo images upon a ii-dimensional medium like newspaper or computer screens. Below is a stereo viewing pair of pictures representing the structure of a protein bound to a chemical co-cistron.
Figure 2. Stereo image of a protein leap to a chemic (in pinkish). It is necessary to wait at the two images simultaneously while going cross-eyed to create a third image in the centre, which provides a clear iii-D prototype. The balance labelled Gly101 clearly protrudes from the front of the view wile that labelled Thr35 is at the dorsum.
If you expect at the image and so gradually become cross-eyed a tertiary prototype appears between the outer two. Look carefully and adjust your eyes to watch the images merge and disentangle. With exercise, y'all volition come across a perfect stereo 3D image appear, showing exactly how the chemical binds to the protein.
Now practice the same to the two images below:
Figure three. The Prado and Louvre Giocondas. Viewed together a 3D stereo rendition appears. From Carbon, C. C. & Hesslinger, V. Thousand. (2013). Da Vinci's Mona Lisa inbound the adjacent dimension. Perception, 42(viii), 887-893.
A third version appears in the middle. The model sits proudly ahead of her background, and expect, in particular, at her easily, which scientific imaging evidence to have been painted repeatedly in both versions, presumably until the stereo image appeared. Da Vinci appears to have fulfilled his appetite of producing a 3 dimensional perspective using 2 dimensional media. The great human being would surely corroborate of the awarding of modern scientific imaging technology to unravel his 500-twelvemonth-old hole-and-corner.
Today science tin be practical to fine art to help us sympathize its composition and pregnant. Given the central role of fine art in helping mankind to understand nature and our identify in it, and the desire of science to address these questions besides, information technology is plumbing fixtures that scientific discipline is applied to art itself.
Simply art can exist applied to science too. Its role is of increasing importance but seldom appreciated or understood. Just look at the example to a higher place, scientists viewing molecular structures in 3D using 2D medium, using methods possibly invented by Da Vinci himself. Glasgow Polyomics is a scientific facility that aims to collect data about all of the molecules comprising life forms and learning about their interactions, and how perturbations to these systems underlie disease.
Nosotros sequence genomes but likewise measure out poly peptide affluence and each individual chemical that comprises any number of living systems. Many of the datasets we obtain contain masses of data. Obtaining pregnant and agreement from this data can be challenging. New ways of visualising data are hugely important in allowing us to proceeds understanding.
Da Vinci invented scientific methods to extend the range of perception in available fine art forms. Modern science needs artistic transformation to allow us to perceive the information we can elevate from the invisible world with our new scientific instrumentation. An appreciation of the precepts of art helps in this. Have a couple of examples. A few years ago, Richard Scheltema, a brilliant computer scientist then working with Rainer Breitling (who helped with the inception of Glasgow Polyomics), was working on new ways to gather inference from mass spectrometry-based metabolomics information.
Mass spectrometers allow the simultaneous weighing of thousands of pocket-size molecule chemicals that comprise our bodies (or anything else for that matter). The weight of the molecule reflects its chemical formula so we tin identify thousands of molecules at the same time. Chemicals like glucose, cholesterol, the amino acids and lipids from which we are equanimous all prove up based on their weight or mass.
Increasingly nosotros are finding how disturbances in levels of metabolites cause illness. Glucose in diabetes and cholesterol in center disease, for instance. Before measuring the weight of individual chemicals we separate them from the circuitous mixture of blood, or urine, into private molecules using a process called chromatography.
Scheltema created images tracing each measured molecule as information technology entered the mass spectrometer. The image he generated showed clearly how, instead of appearing in a continuum from the column as we had assumed, the molecules came off in waves; a reflection of the way the pumps running the columns were working. He also noted a series of lines representing masses or chemicals constantly pumped into the mass spectrometer.
These turned out to exist incredibly useful. During the course of the run there is a faint drift in measurement of weights. Past using these chemicals that continuously entered the mass spectrometer (the chemicals arise from the tubing feeding separated chemicals into the machine) it was possible to follow the drift in measured weight and create even more accuracy in mass measurements across any experiment.
At the aforementioned fourth dimension as Scheltema was making these images, the Tate Mod gallery in London had a major retrospective of the paintings of Gerhard Richter. I was struck by the resemblance of his "Woods" series of paintings (produced by rolling a giant squeegee roller over the canvas) to Scheltema's mass spectrometry images:
Figure 4. Left is Scheltema'due south depiction of chemicals measured in a mass spectrometer and correct one of Richter's "Forest" paintings. Reproduced with permission © Gerhard Richter 2016
The similarity between Scheltema'due south mass spectrometry images and Richter'due south Forest series is purely coincidence. Nonetheless, Richter is an artist whose work is infused with scientific discipline. Rare amidst contemporary artists, he shares Da Vinci's appreciation that information gathered at scales beyond human view must be translated to "real world" depictions if real world humans are to understand it.
In 2003 Richter was stunned by a photo-article in Frankfurter Allgemeine Zeitung, where images created past a "scanning tunnelling microscope (STM)" showed the surface of shimmering iridescent insects where silicates embedded within those surfaces create the effect.
Scanning tunnelling microscopes, however, don't merely enlarge images in the way that classical light microscopes do. Instead, signals generated by the passing of a probe close to the surface create a series of numbers that are interpreted computationally to create a virtual, abstruse prototype. The images are non true images as we empathise them, rather they are estimator generated representations of strings of numbers generated from the instrument.
This was precisely as Richter understood the value of abstract art. "Abstract paintings are fictive models" he wrote in 1983, "they brand visible a reality that we can neither see nor describe, but whose existence we can postulate".
Richter'southward "silicates" series of paintings pay homage to his vision.
Figure five. Left is one of Richter'southward "Silicate" paintings, right is a scanning tunnelling microscope depiction of a silicate containing surface. Reproduced with permission © Gerhard Richter 2016 . Correct Wikimedia Eatables
The signal that Richter is making, is one that fascinated Da Vinci, ie. the relationship between what we meet and reality. Claude Monet, the French Impressionist, created work we perceive as increasingly abstract in his tardily paintings, including the keen waterlily series.
For Monet, nevertheless, he could claim that these tardily paintings were substantially figurative. He painted what he saw; he was turning blind. Other artists take experimented by painting things in unlike lights, or fifty-fifty exerting unlike sensations to their eyes.
Most people have, at some time, pushed their tightly closed eyes really hard with their duke which creates a kind kaleidoscope fashion snow tempest in the brain as the optic nerve is stimulated to produce signals irrespective of low-cal landing on their visual receptors. Rapidly opening the eyes after crushing them creates a transient hybrid globe between the artificial neuronal bespeak and a classical view. The reality of what we are viewing hasn't changed. What we see, however, has.
What if the human center doesn't really e'er create a truthful image of what we run into, instead generating an abstract version of concrete reality? The human relationship betwixt vision, imagination and reality sits at the cross-roads betwixt scientific discipline, psychology and fine art.
The necessity to implement creative views of scientific data is becoming increasingly of import as we go ever better at probing the abstract world of the unknown. An annual symposium (Visualizing biological data – VIZBI) devoted to the topic is held in Europe's leading molecular biology found, the European Molecular Biology Laboratory in Heidelberg). For four days scientists and designers link to present and exchange ideas. The results are usually stunning, combining wonderful aesthetics with prescient design simplifying circuitous data for piece of cake estimation.
My colleague Fabien Jourdan, a bioinformatician based at the National Agricultural Enquiry labs in Toulouse, France, has led a programme aiming to facilitate visualisation of the circuitous changes and connectivity between the multitude of chemicals that comprise the "metabolome".
Jourdan's network based profiles provide easy views to guide understanding of how related chemicals change in abundance simultaneously when we perturb cells, for example, by treating them with drugs. The collected data is a series of signals created from each chemical in the detector. These signals are transformed into a gigantic table of numbers. What Jourdan does is change this table into a serial of interconnected points where metabolites showing the most closely related behaviour sit down most closely with each other in the network.
Figure half dozen. One of Fabien Jourdan's connectivity networks. Each dot (node) represents a unmarried chemical. If the behaviour of a metabolite is similar to that of another in experiments to run into if levels ascension or fall in different weather condition they are connected by a line (or edge). The figures become interactive in a reckoner database, clicking dots tells you which chemical is being looked at and links to other data about those molecules held in databases around the world.
All areas of Omics based research (i.east. looking at the huge datasets emerging from genomes, proteomes and metabolomes) are enhanced massively by the generation of visual images that let rapid scanning of events happening. Look below at the heat maps showing how thousands of different genes get turned on or off as malaria parasites pass through their life bicycle. Adjacent to it is a single circular representation of hundreds of human being genomes which can apace show u.s.a. where different human being beings vary from each other, and where genes associated with particular disease types appear.
Figure 7. Genome representations. On the left the levels of expression of individual genes throughout the life wheel of malaria parasites are shown. Each row represents a unmarried cistron and the colour code shows whether it is rising and falling in fourth dimension every bit the parasites passes through different stages in its mammalian host. The visualisation makes information technology clear that many genes are present in co-expressed families. On the right is a delineation of the 23 human chromosomes in circular format along with numerous boosted layers of information pertaining to where differences exist between dissimilar people, which genes are expressed and where linkages between genes occur. (Figure on left from Westenberger et al. (2010) PLoS Negl Trop Dis 4; e653; Effigy on right can be found here).
The mod sciences represented past the Omics technologies, as shown above, do good hugely from artistic representation of data in means that enable rapid understanding in the existent world. Molecular graphics has been a subject field in its ain right for several decades.
Starting in the 1970s, biochemists and pharmacologists needed to create images of how proteins looked and how drugs that targeted individual proteins work. The data itself, frequently generated by bombarding crystallised proteins with 10-rays and creating plots showing how those 10-rays are diffracted past the protein doesn't requite a direct view of how the protein looks. Abstraction of the data itself is used to convert these diffraction patterns into real world images of what proteins might actually look like. Great strides have been made in producing images of proteins, making it ever easier to work out how modest chemicals might bind to the proteins and thus human activity every bit drugs. It was this mode that many of the drugs used to treat HIV infection and AIDS today were designed.
Figure eight. Anti HIV drug (cerise) leap to its target (blue). Another stereo image showing how a drug designed specifically to fit like a central into a lock was designed to inhibit a vital enzyme of the HIV virus that causes AIDS. Pic from Lydia Kavraki.
Biomolecules other than proteins can likewise yield images when bombarded with 10-rays after crystallisation. Perhaps the about famous biological 10-ray image always taken was that of Roslin Franklin whose "Photo 51" was glimpsed by James Watson and Francis Crick who were and then able quickly to contextualise a keen bargain of the evidence they had already gathered trying to piece of work out what Deoxyribonucleic acid looked like. This led to the famous double helix.
Figure 9. Left. Roslin Franklin'due south X-ray diffraction photograph of DNA. Cetnre Watson and Crick with their scale model of the DNA double helix they inferred based on Franklin'southward 10-ray image (coupled to lots of other data most the chemical limerick of Deoxyribonucleic acid). Right. An artistic impression of the DNA double helix. (Wikimedia commons)
And and then information technology is that the interpretation of Leonardo's Dna sequence, should it emerge, will depend as every bit much upon artistic inference as hard science. The sciences and arts belong to a unmarried civilisation, one seeking universal understanding, just as Leonardo Da Vinci appreciated so clearly over 500 years ago.
Mike Barrett tweets at @Barrett_Lab. Read more near Glasgow Polyomics here.
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Source: https://www.newstatesman.com/science-tech/2016/08/da-vinci-genome-how-science-drives-art-and-art-drives-science
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