I Just Completed The Finishing Touches On My New Poster, A Detailed Map Of The Mandelbrot Set In A Vintage

I Just Completed The Finishing Touches On My New Poster, A Detailed Map Of The Mandelbrot Set In A Vintage

I just completed the finishing touches on my new poster, a detailed map of the Mandelbrot Set in a vintage style. I’m calling it the Mandelmap.

The Mandelbrot Set is a fractal shape with infinite detail that you can zoom in on. I often explore the Mandelbrot Set to find trippy patterns to create gifs with, but when I started I felt like I was just poking around at random. So I wanted to create a printed guide for myself to find my way around… I soon realized this was going to be a lot of work, so I decided I might as well take it to the next level and make an awesome poster that would be not just for myself but for everyone else to enjoy too.

What you see here is the result of more than a year’s research, planning, and execution. It’s a 36x24 inch poster rendered fully at 300 dpi, and everything you see was created from scratch. I will be posting more updates and information as I get the test prints in, and I hope to have this poster available to buy within the next couple months!

www.mandelmap.com

More Posts from Philosophical-amoeba and Others

8 years ago

The Normans - A Timeline

911: According to later writer Dudo of Saint-Quentin, in this year the king of the Franks, Charles the Simple, grants land around the city of Rouen to Rollo, or Rolf, leader of the Vikings who have settled the region: the duchy of Normandy is founded. In return Rollo undertakes to protect the area and to receive baptism, taking the Christian name Robert.

1002: Emma, sister of Duke Richard II of Normandy, marries Æthelred (‘the Unready’), king of England. Their son, the future Edward the Confessor, flees to Normandy 14 years later when England is conquered by King Cnut, and remains there for the next quarter of a century. This dynastic link is later used as one of the justifications for the Norman conquest.

1016: A group of Norman pilgrims en route to Jerusalem are ‘invited’ to help liberate southern Italy from Byzantine (Greek) control. Norman knights have already been operating as mercenaries here since the turn of the first millennium, selling their military services to rival Lombard, Greek and Muslim rulers.

1035: Having ruled Normandy for eight years, Duke Robert I falls ill on his return from

a pilgrimage to Jerusalem and dies at Nicaea. By prior agreement, Robert is succeeded by his illegitimate son William, the future Conqueror of England, then aged just seven or eight. A decade of violence follows as Norman nobles fight each other for control of the young duke and his duchy.

1051: Duke William visits England. His rule in Normandy now established, and newly married to Matilda of Flanders, William crosses the Channel to speak with his second cousin, King Edward the Confessor of England. The subject of their conference is unknown, but later chroniclers assert that at this time Edward promises William the English succession.

1059: Pope Nicholas II invests the Norman Robert Guiscard with the dukedoms of Apulia, Calabria and Sicily. The popes had opposed the ambitions of the Normans in Italy, but defeat in battle at Civitate in southern Italy in 1053 had caused them to reconsider. In 1060 Robert and his brother Roger embark on the conquest of Sicily, and Roger subsequently rules the island as its great count.

1066: Edward the Confessor dies on 5 January, and the throne is immediately taken by his brother-in-law Harold Godwinson, the most powerful earl in England, with strong popular backing. Harold defeats his Norwegian namesake at Stamford Bridge in September. But on 14 October William’s Norman forces defeat Harold’s army at Hastings. William is crowned as England’s king on Christmas Day.

1069: The initial years of William’s reign in England are marked by almost constant English rebellion, matched by violent Norman repression. In autumn 1069 a fresh English revolt is triggered by a Danish invasion. William responds by laying waste to the country north of the Humber, destroying crops and cattle in a campaign that becomes known as the Harrying of the North, leading to widespread famine and death.

1086: Worried by the threat of Danish invasion, at Christmas 1085 William decides to survey his kingdom – partly to assess its wealth, and partly to settle arguments about landownership created by 20 years of conquest. The results, later redacted and compiled as Domesday Book, are probably brought to him in August 1086 at Old Sarum (near Salisbury), where all landowners swear an oath to him.

1087: William retaliates against a French invasion of Normandy. While attacking Mantes he is taken ill or injured – possibly damaging his intestines on the pommel of his saddle – and retires to Rouen, where he dies on 9 September. Taken to Caen for burial, his body proves too fat for its stone sarcophagus, and bursts when monks try to force it in. His eldest surviving son, Robert Curthose, becomes duke of Normandy, while England passes to his second son, William Rufus.

1096: Following a call to arms by Pope Urban II in 1095, many Normans set out towards the Holy Land on the First Crusade, determined to recover Jerusalem. Among them are Robert Curthose, who mortgages Normandy to his younger brother, William Rufus, and William the Conqueror’s notorious half-brother, Bishop Odo of Bayeux. Odo dies en route and is buried in Palermo, but Robert goes on to win victories in Palestine and is present when Jerusalem falls.

1100: Having succeeded his father in 1087 and defeated Robert Curthose’s attempts to unseat him, the rule of William II (‘Rufus’, depicted below) seems secure. But on 2 August 1100, while hunting in the New Forest with some of his barons, William is struck by a stray arrow and killed. His body is carted to Winchester for burial, and the English throne passes to his younger brother, Henry, who is crowned in Westminster Abbey just three days later.

1101: Roger I of Sicily dies. By the end of his long rule, Count Roger has gained control over the whole of Sicily – the central Muslim town of Enna submitted in 1087, and the last emirs in the southeast surrendered in 1091. He is briefly succeeded by his eldest son, Simon, but the new count dies in 1105 and is succeeded by his younger brother, Roger II.

1120: On 25 November Henry I sets out across the Channel from Normandy to England. One of the vessels in his fleet, the White Ship, strikes a rock soon after its departure, with the loss of all but one of its passengers. One of the drowned is the king’s only legitimate son, William Ætheling. Henry responds by fixing the succession on his daughter, Matilda, and marrying her to Geoffrey Plantagenet, count of Anjou.

1130: Roger II is crowned king of Sicily, having pushed for royal status in order to assert his authority over the barons of southern Italy. A disputed papal succession in 1130 has provided an opportunity and, in return for support against a papal rival, Pope Anacletus II confers the kingship on Roger in September. He is crowned in Palermo Cathedral on Christmas Day.

1135: Henry I dies in Normandy on 1 December, reportedly after ignoring doctor’s orders and eating his favourite dish - lampreys. His body is shipped back to England for burial at the abbey he founded in Reading. Many of his barons reject the rule of his daughter, Matilda, instead backing his nephew, Stephen, who is crowned as England’s new king on 22 December.

1154: King Stephen, the last Norman king of England, dies. His death ends the vicious civil war between him and his cousin Matilda that lasted for most of his reign. As a result of the Treaty of Wallingford, which Stephen was pressured to sign in 1153, he is succeeded by Matilda’s son Henry of Anjou, who takes the throne as Henry II.

1174: King William II of Sicily begins the construction of the great church at Monreale (‘Mount Royal’), nine miles from his capital at Palermo. The building is a fusion of Byzantine, Latin and Muslim architectural styles, and is decorated throughout with gold mosaics, including the earliest depiction of Thomas Becket, martyred in 1170.

1194: Norman rule on Sicily ends. Tancred of Lecce, son of Roger III, Duke of Apulia, seizes the throne on William’s death in 1189; on his death in 1194 he is succeeded by his young son, William III. Eight months later, Holy Roman Emperor Henry VI, husband of Roger II’s daughter Constance, invades Sicily and is crowned in Palermo on Christmas Day. The following day, Constance gives birth to their son, the future Frederick II.

1204: King John loses Normandy to the French. The youngest son of Henry II, John had succeeded to England, Normandy, Anjou and Aquitaine after the death of his elder brother, Richard the Lionheart, in 1199. But in just five years he lost almost all of his continental lands to his rival King Philip Augustus of France – the end of England’s link with Normandy.


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7 years ago

Chai Tea

Word for tea in most of the world’s languages are all ultimately related, belonging to two groups of terms.

“Tea” itself belongs to one of those groups.  It was a borrowing from Dutch thee, in turn from tê, the reading of  茶 in the Amoy dialect of Min Nan.  Those languages whose introduction to tea was primaraly from Dutch traders typically use words likewise derived via the Dutch thee.  The Polish herbata is also part of this family, though slightly obscured, being a borrowing from the Latin herba thea.

The other major group is represented by the word chai, a more recent borrowing in English.  Chai was borrowed from the Hindi cāy, which in turn came from a Chinese dialect with a form similar to Mandarin chá.  Languages that use chai-type terms generally were first introduced to tea through overland trade, ultimately to northern China, while those that use tea-type terms were generally introduced to it via sea trade, from Southern China.

Both tê and chá are derived from the same Middle Chinese form, ultimately derived from Proto-Sino-Tibetan *s-la “leaf”.


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7 years ago

Book Lovers Day - Free Aeronautics e-Books from NASA

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Quieting the Boom

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The Shaped Sonic Boom Demonstrator and the Quest for Quiet Supersonic Flight.

Download it HERE

Elegance in Flight

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A comprehensive History of the F-16XL Experimental Prototype and its Role in our Flight Research. 

Download it HERE

Probing the Sky

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Selected National Advisory Committee for Aeronautics (NACA) Research Airplanes and Their Contributions to Flight.

Download it HERE

Cave of the Winds

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The huge Langley Full-Scale Tunnel building dominated the skyline of Langley Air Force Base for 81 years (1930–2011). Explore how the results of critical tests conducted within its massive test section contributed to many of the Nation’s most important aeronautics and space programs.

Download it HERE

A New Twist in Flight Research

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A New Twist in Flight Research describes the origins and design development of aeroelastic wing technology, its application to research aircraft, the flight-test program, and follow-on research and future applications.

Download it HERE

Sweeping Forward

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Developing & Flight Testing the Grumman X-29A Forward Swept Wing Research Aircraft.

Download it HERE

Thinking Obliquely

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Robert T. Jones, the Oblique Wing, our AD-1 Demonstrator, and its Legacy.

Download it HERE

The Apollo of Aeronautics

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The fuel crisis of the 1970s threatened not only the airline industry but also the future of American prosperity itself. It also served as the genesis of technological ingenuity and innovation from a group of scientists and engineers at NASA, who initiated planning exercises to explore new fuel-saving technologies.

Download it HERE

X-15: Extending the Frontiers of Flight

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X-15: Extending the Frontiers of Flight describes the genesis of the program, the design and construction of the aircraft, years of research flights and the experiments that flew aboard them.

Download it HERE

Ikhana

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Delve into the story of the Ikhana, a remotely piloted vehicle used by NASA researchers to conduct Earth science research, which became an unexpected flying and imaging helper to emergency workers battling California wildfires.

Download it HERE

NASA’s Contributions to Aeronautics, Volume 1

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This first volume in a two-volume set includes case studies and essays on NACA-NASA research for contributions such as high-speed wing design, the area rule, rotary-wing aerodynamics research, sonic boom mitigation, hypersonic design, computational fluid dynamics, electronic flight control and environmentally friendly aircraft technology.

Download it HERE

NASA’s Contributions to Aeronautics, Volume 2

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Continue your journey into the world  of NASA’s Contributions to Aeronautics with case studies and essays on NACA-NASA research for contributions including wind shear and lightning research, flight operations, human factors, wind tunnels, composite structures, general aviation aircraft safety, supersonic cruise aircraft research and atmospheric icing.

Download it HERE

Interested in other free e-books on topics from space, science, research and more? Discover the other e-books HERE.

Make sure to follow us on Tumblr for your regular dose of space: http://nasa.tumblr.com


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7 years ago
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 
Le Festival Sōma-shi 相馬市 - Préfecture De  Fukushima-ken 福島県. 

Le festival Sōma-shi 相馬市 - préfecture de  Fukushima-ken 福島県. 

La région de Sōma est réputée pour ses chevaux. Tous les ans, du 22 au 25 juillet, s'y déroule le Sōma nomaoi 相馬野馬追, littéralement : “chasse aux chevaux sauvages de Sōma” autour des sanctuaires Ōta jinja 太田神社 et Odaka jinja 小高神社 à Minamisōma-shi 南相馬市, et du sanctuaire Nakamura jinja  中村神社 à Sōma. Durant 3 jours, les anciens cavaliers samouraïs sont mis à l’honneur lors de différentes démonstrations, parades de samouraïs, courses de chevaux, reconstitutions de batailles et processions.


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9 years ago
Prevalence Of Homosexuality In Men Is Stable Throughout Time Since Many Carry The Genes

Prevalence of homosexuality in men is stable throughout time since many carry the genes

Around half of all heterosexual men and women potentially carry so-called homosexuality genes that are passed on from one generation to the next. This has helped homosexuality to be present among humans throughout history and in all cultures, even though homosexual men normally do not have many descendants who can directly inherit their genes. This idea is reported by Giorgi Chaladze of the Ilia State University in Georgia, and published in Springer’s journal Archives of Sexual Behavior. Chaladze used a computational model that, among others, includes aspects of heredity and the tendency of homosexual men to come from larger families.

Chaladze, G. Heterosexual Male Carriers Could Explain Persistence of Homosexuality in Men: Individual-Based Simulations of an X-Linked Inheritance Model. Archives of Sexual Behavior, 2016 DOI: 10.1007/s10508-016-0742-2


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7 years ago
Kilroy Was Here!

Kilroy Was Here!

He’s engraved in stone in the National World War II Memorial in Washington, DC – back in a small alcove where very few people have seen it. For the WWII generation, this will bring back memories. For younger folks, it’s a bit of trivia that is an intrinsic part of American history and legend.

Anyone born between 1913 to about 1950, is very familiar with Kilroy. No one knew why he was so well known….but everybody seemed to get into it. It was the fad of its time!

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          At the National World War II Memorial in Washington, DC

So who was Kilroy?

In 1946 the American Transit Association, through its radio program, “Speak to America,” sponsored a nationwide contest to find the real Kilroy….now a larger-than-life legend of just-ended World War II….offering a prize of a real trolley car to the person who could prove himself to be the genuine article.

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Almost 40 men stepped forward to make that claim, but only James Kilroy from Halifax, Massachusetts, had credible and verifiable evidence of his identity.

“Kilroy” was a 46-year old shipyard worker during World War II (1941-1945) who worked as a quality assurance checker at the Fore River Shipyard in Quincy, Massachusetts (a major shipbuilder for the United States Navy for a century until the 1980s).  

His job was to go around and check on the number of rivets completed. (Rivets held ships together before the advent of modern welding techniques.) Riveters were on piece work wages….so they got paid by the rivet. He would count a block of rivets and put a check mark in semi-waxed lumber chalk (similar to crayon), so the rivets wouldn’t be counted more than once.

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                                     A warship hull with rivets

When Kilroy went off duty, the riveters would surreptitiously erase the mark. Later, an off-shift inspector would come through and count the rivets a second time, resulting in double pay for the riveters!

One day Kilroy’s boss called him into his office. The foreman was upset about unusually high wages being “earned” by riveters, and asked him to investigate. It was then he realized what had been going on. 

The tight spaces he had to crawl in to check the rivets didn’t lend themselves to lugging around a paint can and brush, so Kilroy decided to stick with the waxy chalk. He continued to put his check mark on each job he inspected, but added ”KILROY WAS HERE!“ in king-sized letters next to the check….and eventually added the sketch of the guy with the long nose peering over the fence….and that became part of the Kilroy message.

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   Kilroy’s original shipyard inspection “trademark” during World War II

Once he did that, the riveters stopped trying to wipe away his marks.

Ordinarily the rivets and chalk marks would have been covered up with paint. With World War II on in full swing, however, ships were leaving the Quincy Yard so fast that there wasn’t time to paint them. As a result, Kilroy’s inspection “trademark” was seen by thousands of servicemen who boarded the troopships the yard produced.

His message apparently rang a bell with the servicemen, because they picked it up and spread it all over the European and the Pacific war zones.

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Before war’s end, “Kilroy” had been here, there, and everywhere on the long hauls to Berlin and Tokyo. 

To the troops outbound in those ships, however, he was a complete mystery; all they knew for sure was that someone named Kilroy had “been there first.” As a joke, U.S. servicemen began placing the graffiti wherever they landed, claiming it was already there when they arrived.

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As the World War II wore on, the legend grew. Underwater demolition teams routinely sneaked ashore on Japanese-held islands in the Pacific to map the terrain for coming invasions by U.S. troops (and thus, presumably, were the first GI’s there). On one occasion, however, they reported seeing enemy troops painting over the Kilroy logo!

Kilroy became the U.S. super-GI who had always “already been” wherever GIs went. It became a challenge to place the logo in the most unlikely places imaginable. (It is said to now be atop Mt. Everest, the Statue of Liberty, the underside of the Arc de Triomphe in Paris, and even scrawled in the dust on the moon by the American astronauts who walked there between 1969 and 1972.

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In 1945, as World War II was ending, an outhouse was built for the exclusive use of Allied leaders Harry Truman, Joseph Stalin, and Winston Churchill at the Potsdam Conference. It’s first occupant was Stalin, who emerged and asked his aide (in Russian), “Who is Kilroy?”

To help prove his authenticity in 1946, James Kilroy brought along officials from the shipyard and some of the riveters. He won the trolley car….which he attached to the Kilroy home and used to provide living quarters for six of the family’s nine children….thereby solving what had become an acute housing crisis for the Kilroys.

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                     The new addition to the Kilroy family home.

                                        *          *          *          *

And the tradition continues into the 21st century…

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In 2011 outside the now-late-Osama Bin Laden’s hideaway house in Abbottabad, Pakistan….shortly after the al-Qaida-terrorist was killed by U.S. Navy SEALs. 

>>Note: The Kilroy graffiti on the southwest wall of the Bin Laden compound pictured above was real (not digitally altered with Microsoft Paint, as postulated by some). The entire compound was leveled in 2012 for redevelopment by a Pakistani company as an amusement park….and to avoid it becoming a shrine to Bin Laden’s nefarious memory.

                                         *          *          *          *

A personal note….

My Dad’s trademark signature on cards, letters and notes to my sisters and I for the first 50 or so years of our lives (until we lost him to cancer) was to add the image of “Kilroy” at the end. We kids never ceased to get a thrill out of this….even as we evolved into adulthood. 

To this day, the “Kilroy” image brings back a vivid image of my awesome Dad into my head….and my heart!

Dad: This one’s for you!

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7 years ago
Photograph Of The XS-1 In Flight

Photograph of the XS-1 in Flight

On October 14, 1947, Captain Charles “Chuck” Yeager became the first human to break the sound barrier during powered level flight while flying the experimental Bell X-1 aircraft.

File Unit: X-1 Photographs, 12/11/1946 - 10/21/1947. Series: Flight Test Project Files, ca. 1945 - ca. 1959. Record Group 255: Records of the National Aeronautics and Space Administration, 1903 - 2006 .

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Photograph of Captain Charles E. Yeager, 5/1948

Read Chuck Yeager’s notes from the moment that he broke the sound barrier:

“The needle of the machmeter fluctuated at this reading momentarily, then passed off the scale.  Assuming that the off scale reading remained linear, it is estimated that 1.05 Mach i was attained at this time.”

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Pilot’s Notes from the Ninth Powered Flight of the XS-1 (First supersonic flight)

Read more Pilot’s notes from these test flights in the  X-1 Correspondence file in the National Archives catalog.


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9 years ago
Entanglement Made Simple, A Divulgative Article Of Theoretical Physicist And Nobel Laureate Frank Wilczek,

Entanglement Made Simple, a divulgative article of theoretical physicist and Nobel laureate Frank Wilczek, in Quanta Magazine.

Image by James O'Brien for Quanta Magazine


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8 years ago
Harmonograph, H. Irwine Whitty, 1893
Harmonograph, H. Irwine Whitty, 1893
Harmonograph, H. Irwine Whitty, 1893
Harmonograph, H. Irwine Whitty, 1893
Harmonograph, H. Irwine Whitty, 1893
Harmonograph, H. Irwine Whitty, 1893
Harmonograph, H. Irwine Whitty, 1893

Harmonograph, H. Irwine Whitty, 1893

“The facts that musical notes are due to regular air-pulses, and that the pitch of the note depends on the frequency with which these pulses succeed each other, are too well known to require any extended notice. But although these phenomena and their laws have been known for a very long time, Chladni, late in the last century, was the first who discovered that there was a connection between sound and form.”

source here


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8 years ago

Neuro chip records brain cell activity at higher resolution

Brain functions are controlled by millions of brain cells. However, in order to understand how the brain controls functions, such as simple reflexes or learning and memory, we must be able to record the activity of large networks and groups of neurons. Conventional methods have allowed scientists to record the activity of neurons for minutes, but a new technology, developed by University of Calgary researchers, known as a bionic hybrid neuro chip, is able to record activity in animal brain cells for weeks at a much higher resolution. The technological advancement was published in the journal Scientific Reports.

Neuro Chip Records Brain Cell Activity At Higher Resolution

“These chips are 15 times more sensitive than conventional neuro chips,” says Naweed Syed, PhD, scientific director of the University of Calgary, Cumming School of Medicine’s Alberta Children’s Hospital Research Institute, member of the Hotchkiss Brain Institute and senior author on the study. “This allows brain cell signals to be amplified more easily and to see real time recordings of brain cell activity at a resolution that has never been achieved before.”

The development of this technology will allow researchers to investigate and understand in greater depth, in animal models, the origins of neurological diseases and conditions such as epilepsy, as well as other cognitive functions such as learning and memory.

“Recording this activity over a long period of time allows you to see changes that occur over time, in the activity itself,” says Pierre Wijdenes, a PhD student in the Biomedical Engineering Graduate Program and the study’s first author. “This helps to understand why certain neurons form connections with each other and why others won’t.”

The cross-faculty team created the chip to mimic the natural biological contact between brain cells, essentially tricking the brain cells into believing that they are connecting with other brain cells. As a result, the cells immediately connect with the chip, thereby allowing researchers to view and record the two-way communication that would go on between two normal functioning brain cells.

“We simulated what Mother Nature does in nature and provided brain cells with an environment where they feel as if they are at home,” says Syed. “This has allowed us to increase the sensitivity of our readings and help neurons build a long-term relationship with our electronic chip.”

While the chip is currently used to analyze animal brain cells, this increased resolution and the ability to make long-term recordings is bringing the technology one step closer to being effective in the recording of human brain cell activity.

“Human brain cell signals are smaller and therefore require more sensitive electronic tools to be designed to pick up the signals,” says Colin Dalton, adjunct professor in the Department of Electrical and Computer Engineering at the Schulich School of Engineering and a co-author on this study. Dalton is also the facility manager of the University of Calgary’s Advanced Micro/nanosystems Integration Facility (AMIF), where the chips were designed and fabricated.

Researchers hope the technology will one day be used as a tool to bring personalized therapeutic options to patients facing neurological disease.


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philosophical-amoeba - Lost in Space...
Lost in Space...

A reblog of nerdy and quirky stuff that pique my interest.

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