Viral Counterpoint of the Coronavirus Spike Protein · Markus J. Buehler
Released on: 2020-03-26
Viral Counterpoint of the Coronavirus Spike Protein · Markus J. Buehler
Released on: 2020-03-26
Euler’s number or "e" is a crucial mathematical constant that pops again and again in physics.
author
DR. ALFREDO CARPINETI
Senior Staff Writer & Space Correspondent
April 3, 2023
The universe appears fond of special numbers. Some come from geometry, like π or the square root of two. Some, like the fine structure constant, connect stars being able to shine to why buttered bread falls more often on the buttered side. Then there is e, or Euler’s number: a mathematical constant found across fields from quantum mechanics to finance to zoology.
As a number itself, it might not look like much. Its numerical value is 2.71828… and goes on forever, being an irrational number. Just like π, e is a transcendental number, meaning that it is not a solution of any type of polynomial equation. Just its mathematical properties make it a very special number – but its presence elsewhere truly makes it incredibly influential.
The place where e becomes most useful is when it comes to growth, change, and decay. The number e is used as the base of the exponential function. The exponential decay of radioactive elements is given by a very simple equation that contains e and depends on the time and a few other constants related to the nature of the element and how much of it you had in the first place.
Are you waiting for your cup of coffee to cool down? Well, the rate of heat loss will be a similar exponential decay formula. There is a different relationship between the temperature of the environment, the coffee, and the heat transfer coefficient – but underneath the hood of reality, there is this important number, e.
For exponential growth in population – for example, the growth of bacteria – we also end up once again with this exponential relationship. Similarly to this, the spread of a disease where no immunization is available (such as at the beginning of the COVID-19 pandemic) will spread exponentially at first – but it’s not just biology. A nuclear chain reaction, which powers both nuclear fission reactors and nuclear weapons, is based on exponential growth.
We can find even more outlandish connections, showing just how fundamental this number is. Imagine yourself as a betting person, picking a single number on a roulette. The probability of you winning that game is 1/37. But if you play 37 games, the probability that you have lost every single time is 1/e. A ratio of e can also be used to calculate the temperature of the whole universe based on the cosmic microwave background. It is truly everywhere!
This number is just so very special – so just like you remember 3.141, you should make a note of 2.718.
Source :
https://www.iflscience.com/the-special-number-that-governs-growth-change-and-decay-in-nature-68272
TOPICS : Biodiversity Biophysics Ecology Evolution
By UNIVERSITY OF BRITISH COLUMBIA APRIL 1, 2023
New research from the University of British Columbia has revealed that Earth’s biomass is predominantly concentrated in organisms at either end of the size spectrum. In the first study of its kind, Dr. Eden Tekwa surveyed the body sizes of all living organisms on Earth and discovered that the smallest and largest organisms significantly outweigh all others. This unexpected pattern challenges current theories, which predict that biomass would be spread evenly across all body sizes.
Life comes in all shapes in sizes, but some sizes are more popular than others, new research from the University of British Columbia (UBC) has found.
In the first study of its kind published today (March 29) in PLOS ONE, Dr. Eden Tekwa, who conducted the study as a postdoctoral fellow at UBC’s department of zoology, surveyed the body sizes of all Earth’s living organisms, and uncovered an unexpected pattern. Contrary to what current theories can explain, our planet’s biomass—the material that makes up all living organisms—is concentrated in organisms at either end of the size spectrum.
“The smallest and largest organisms significantly outweigh all other organisms,” said Dr. Tekwa, lead author of “The size of life,” and now a research associate with McGill University’s department of biology. “This seems like a new and emerging pattern that needs to be explained, and we don’t have theories for how to explain it right now. Current theories predict that biomass would be spread evenly across all body sizes.”
In addition to challenging our understanding of how life is distributed, these results have important implications for predicting the effects and impacts of climate change. “Body size governs a lot of global processes as well as local processes, including the rate at which carbon gets sequestered, and how the function and stability of ecosystems might be affected by the composition of living things,” said Dr. Tekwa. “We need to think about how body size biomass distribution will change under environmental pressures.”
“Life constantly amazes us, including the incredible range of sizes that it comes in,” says senior author Dr. Malin Pinsky, associate professor in the department of ecology, evolution, and natural resources at Rutgers University. “If the tiniest microbe was the size of the period at the end of this sentence, the largest living organism, a sequoia tree, would be the size of the Panama Canal.”
To obtain their results, Dr. Tekwa spent five years compiling and analyzing data about the size and biomass of every type of living organism on the planet—from tiny one-celled organisms like soil archaea and bacteria to large organisms like blue whales and sequoia trees. They found that the pattern favouring large and small organisms held across all types of species, and was more pronounced in land-based organisms than in marine environments. Interestingly, maximum body size seemed to reach the same upper limits across multiple species and environments.
“The largest body sizes appear across multiple species groups, and their maximum body sizes are all within a relatively narrow range,” Dr. Tekwa noted. “Trees, grasses, underground fungi, mangroves, corals, fish and marine mammals all have similar maximum body sizes. This might suggest that there is a universal upper size limit due to ecological, evolutionary or biophysical limitations.”
Dr. Tekwa was also able to uncover some intriguing details about the distribution of life in various ecosystems. “Even though corals occur in only a small fraction of the ocean, it turns out that they have about the same biomass as all the fish in the ocean,” said Dr. Tekwa. “This illustrates how important the balance of biomass is in the oceans. Corals support a lot of fish diversity, so it’s really interesting that those two organisms have almost the same biomass.”
As for humans, we already know we comprise a relatively small biomass, but our size among all living things reveals our place in the global biome. “We belong to the size range that comprises the highest biomass, which is a relatively large body size,” said Dr. Tekwa.
Dr. Tekwa added that their findings will help inform future research into Earth’s evolving environment. “This enables us to move forward, because it establishes a baseline of the current state that already includes human-driven effects,” they said. “For example, fish biomass is probably half of what it was before humans arrived, but it gets harder and harder to infer those patterns as we go farther back in geological time. These are really important empirical studies to conduct. There’s a lot of relevance to humans and societies as we tackle sustainability challenges, and global ecological assessments should be an essential part of sustainability initiatives.”
For more on this research, see Surprising Size Extremes Dominate Earth’s Biomass.
Reference: “The sizes of life” by Eden W. Tekwa, Katrina A. Catalano, Anna L. Bazzicalupo, Mary I. O’Connor and Malin L. Pinsky, 29 March 2023, PLOS ONE.
DOI: 10.1371/journal.pone.0283020
Source :
https://scitechdaily.com/scientists-baffled-by-new-size-of-life-discovery-about-our-planets-biomass/?expand_article=1
Call comes on eve of revised net zero strategy that allows drilling in North Sea and boosts ‘unproven’ carbon capture
Fiona Harvey Environment editor
Wed 29 Mar 2023 06.00 BST
Hundreds of the UK’s leading scientists have urged the prime minister, Rishi Sunak, to halt the licensing of new oil and gas developments in the UK, ahead of his anticipated launch of a revised net zero and energy security strategy on Thursday.
The scientists, who include Chris Rapley, former head of the Science Museum and professor at UCL and Mark Maslin, professor of earth system science at UCL, warn that there must be no new developments of oil and gas, for the world to limit global heating to 1.5C above preindustrial levels.
The call, backed by more than 700 scientists, comes on the eve of the government’s “energy security day”, when a new net zero strategy will be published.
The launch was originally to be called “green day”, but the Guardian revealed last week that the event had been rebranded “energy security day” because of a planned focus on oil and gas development, alongside renewable energy, and to appease Conservative rightwingers.
Aberdeen, the capital of the UK’s oil and gas industry, has been prepared as the launch venue, though this could change after widespread criticism.
Among the government’s announcements for energy security day are to be a continuation of oil and gas development in the North Sea; carbon capture and storage investments worth about £20bn over two decades; and a boost for renewable energy.
But the scientists warn in their letter of the disastrous consequences of exceeding 1.5C of global heating, noting that “we already have more than enough coal, oil and gas to overshoot what is deemed our best hope of maintaining a livable climate”, and they urge the prime minister to take a stand.
They say, in a letter seen by the Guardian: “We are writing as members of the research community on climate science and other related disciplines to call on you to ensure the UK once again demonstrates international leadership by acting on the latest warnings about the escalating climate crisis. This means including in the forthcoming revised net zero strategy a commitment not to approve any new development of onshore or offshore oil and gas fields.”
They note the stark findings of the Intergovernmental Panel on Climate Change last week, which found in a “sober but devastating” report that the world had only a narrow chance of avoiding disastrous levels of global heating.
Emily Shuckburgh, director of Cambridge Zero at the University of Cambridge, who organised the letter, said: “Last Monday the IPCC made it clear that immediate action is required to avert a climate catastrophe. Now is the time to be investing in the technologies of the future, not the past. Continued use of fossil fuels is a threat to us, our children and their children; instead we should be leading the world in creating a sustainable society powered by green innovation. That must be the central aim of the revised net zero strategy.”
Ed Miliband, Labour’s shadow secretary for net zero, said: “This letter is a further reminder that the mainstream consensus says doubling down on fossil fuels is the wrong choice, on value for money grounds, won’t solve our energy security needs, won’t create good jobs, and would be completely wrong for the climate. The scientists are telling the government in no uncertain terms that they must change course from their path of climate vandalism.”
The letter also casts doubt on the government’s carbon capture and storage (CCS) investments, saying the technology has “yet to be proved at scale”. Ministers are hoping the focus on CCS will provide a basis on which oil and gas development can be continued.
Ministers have already decided that some of the key recommendations for a net zero strategy will be ignored. There will be no comprehensive programme of home insulation; no compulsion for housebuilders to fit solar panels on the roofs of new houses; oil and gas companies will be continued to allow to flare gas; there will be no specific target for onshore wind generation, and there are doubts that proposed changes to the planning regime will fully lift the effective ban on new onshore wind turbines in England.
The letter was open for signatories for only 36 hours and received more than 700 signatures, including Iain Stewart, professor of geoscience communication at Plymouth University; the former government adviser Michael Jacobs of Sheffield University; and Jane Macnaughton, deputy pro vice-chancellor at Durham University.
Shuckburgh told the Guardian this was “a clear indication of the enormous strength of feeling among scientists across the UK on this issue. These people are all experts in their fields.”
A Department for Energy Security and Net Zero spokesperson said: “The UK decarbonised faster than any other G7 country, while growing the economy. Our plans to invest in renewable and nuclear technologies will maintain the UK’s place as a world-leader in achieving net zero, boosting the economy while also supporting nearly half a million well-paid green jobs.
“Delivering energy security and net zero at lowest cost means investing in home grown energy such as offshore wind. But in all scenarios the UK will continue to use oil and gas as we meet our 2050 net zero goal, and even the Committee on Climate Change agrees there may be emissions advantages to domestic UK production replacing imports.”
Source :
https://www.theguardian.com/environment/2023/mar/29/uk-scientists-rishi-sunak-oil-and-gas-developments-climate-crisis
This blotchy vegetation in a gapped bush plateau in Niger is an example of what’s called a Turing pattern.
NICOLAS BARBIER/WIKIMEDIA COMMONS (CC BY-SA 3.0)
By James R. Riordon
MARCH 26, 2023 AT 7:00 AM
Chia seeds sprouted in trays have experimentally confirmed a mathematical model proposed by computer scientist and polymath Alan Turing decades ago. The model describes how patterns might emerge in desert vegetation, leopard spots and zebra stripes.
These and other blotchy and stripy features in nature are examples of what are called Turing patterns, so named because in 1952, Turing presented equations for how simple interactions between competing factors can lead to surprisingly complex surface patterns. In the case of arid regions, the competition for moisture among plants would drive the intricate distribution of vegetation.
But proving that Turing’s model explains patterns in the real world has been challenging (SN: 10/21/15). It wasn’t clear whether Turing’s idea is really behind natural distributions of vegetation. It could be that the idea is a mathematical just-so story that happens to produce similar shapes in a computer, says physicist Flavio Fenton of Georgia Tech in Atlanta.
In research presented at the American Physical Society meeting, Brendan D’Aquino, who studied in Fenton’s lab during the summer of 2022, described an experiment that seems to confirm that Turing’s model truly underlies patterns in vegetation.
The team grew chia seeds in even layers in trays and then adjusted the available moisture. In essence, the researchers were experimentally tweaking the factors that appear in the Turing equations. Sure enough, patterns resembling those seen in natural environments emerged. The patterns also strongly resembled computer simulations of the Turing model.
Experiments with chia seeds (top), and the simulations that mimic them (bottom), show that Turing patterns emerge in vegetation competing for water. The top row shows how the pattern changes as water availability increases (from left to right). Simulated landscapes show similar patterns as rainfall increases (left to right).
BRENDAN D’AQUINO (PHOTOS), ABOUZAR KABOUDIAN (SIMULATIONS)
“In previous studies,” said D’Aquino, who is an undergraduate computer science student at Northeastern University, “people kind of retroactively fit models to observe Turing patterns that they found in the world. But here we were actually able to show that changing the relevant parameters in the model produces experimental results that we would expect.”
Although Turing patterns have been produced in some chemistry experiments and other artificial systems, the team believes this is the first time that experiments with living vegetation have verified Turing’s mathematical insight.
Source :
https://www.sciencenews.org/article/seeds-alan-turing-patterns-nature-math
Ming Guo seeks connections between a cell’s physical form and its biological function, which could illuminate ways to halt abnormal cell growth.
Jennifer Chu | MIT News Office
Publication Date:March 26, 2023
High in the treetops of a Chinese rainforest, Ming Guo began to explore the influence of a single cell.
A student in China’s Tsinghua University, Guo was studying the mechanical properties of plant cells. As part of his master’s thesis he took on an intriguing question: Does a cell’s physical integrity — its size, shape, squishiness, or stiffness — have anything to do with how tall a tree grows?
In search of an answer, Guo visited forests across the Yunnan province, collecting leaves from the tallest trees, some towering over 200 feet — too high for Guo himself to climb. So, he enlisted the help of a student in the university’s rock climbing club, who scaled the trees and retrieved leaves at various heights along their length.
After analyzing the individual plant cells within each leaf, Guo observed a pattern: The higher the leaves, the smaller the cells. And, more interesting still, the size of a single cell could more or less predict how tall a tree can grow.
This early work in tree cells made one thing clear in Guo’s mind: A cell’s physical form can play a role in the development of an entire organism. This realization motivated him to study cell mechanics, in plant and eventually animal cells, to see what more a cell’s physical properties can reveal about how cells, tissues, organs, and whole organisms grow.
“People study cells in the context of their biology and biochemistry, but cells are also simply physical objects you can touch and feel,” Guo says. “Just like when we construct a house, we use different materials to have different properties. A similar rule must apply to cells when forming tissues and organs. But really, not much is known about this process.”
His work in cell mechanics led him to MIT, where he recently received tenure and is the Class of ’54 Career Development Associate Professor in the Department of Mechanical Engineering.
At MIT, Guo and his students are developing tools to carefully poke and prod cells, and observe how their physical form influences the growth of a tissue, organism, or disease such as cancer. His research bridges multiple fields, including cell biology, physics, and mechanical engineering, and he is working to apply the insights from cell mechanics to engineer materials for biomedical applications, such as therapies to halt the growth and spread of diseased and cancerous cells.
“MIT is a perfect place for that in the long run,” Guo says. “It’s cross-disciplinary and always very inspiring, and by interacting with different people outside of the field, you get more ideas. It’s more likely that you can dig up something useful.”
The nature of physical objects
Guo grew up in Shijiazhuang, a city that is a two-hour train ride from Beijing. Both his parents were engineers — his father worked at the local factory, and his mother built teaching models of traffic systems at a vocational school. His parents worked hard, and like most factory families, they did not have the luxury of looking after their child when school was out.
“In the summers, they had to go to work, and they would just lock me at home. I’d throw my keys outside to someone to unlock the door so I could go play with them,” Guo recalls.
He and his friends would head to a cluster of residential buildings near the factory, and spent their days climbing.
“I liked to climb short buildings and towers and look at how they were structured,” Guo recalls. “There was also a small river where we tried to catch fish. Most families didn’t have much savings at the end of the year and didn’t spend much effort on education. But I remember as a kid having a lot of fun.”
School, and science, came more into focus in high school, when Guo had the chance to visit a cousin who was attending Tsinghua University. He remembers being particularly drawn to a textbook on his cousin’s shelf, on the structural mechanics of bridges. The short stay inspired him to apply to the university — one of the top two schools in the country. Once accepted, he headed to Tsinghua for a degree in mechanics.
After a brief foray into the mechanics of fluids, and a project involving simulations of an artificial blood pump, Guo decided to pivot, and focus instead on the mechanics of cells, plant cells in particular. Inspired by his advisor, he took up the topic of how a plant cell’s mechanical integrity influences how tall a tree can grow. The project grew into a master’s thesis as Guo stayed on at Tsinghua as a master’s student.
“As I worked on plants, I realized that animal cells were also very interesting,” Guo says. “The nature of different materials, especially biological materials, and how to understand them simply as physical objects, was fascinating to me.”
“A profound impact”
As he wrapped up his work with tree cells, Guo read up on animal cell research, gravitating to work by David Weitz, a Harvard University physicist who specializes in soft matter, including the mechanical properties of living cells. Weitz’s work motivated Guo to apply to Harvard’s graduate program in applied physics.
In 2007, he arrived on the Cambridge campus — the first time he’d ever ventured outside China — and felt lost amid a new and foreign landscape.
“I had filled half my suitcase with ramen, and the first week I just ate ramen because I didn’t know where to eat,” Guo recalls. “I also couldn’t understand anything in some of my classes, because the type of English I learned in China was not the way people actually talk here.”
After time, Guo found his footing and dove into work in Weitz’s lab, where he focused his PhD thesis on understanding the “nonequilibrium behavior,” or the physical motions in a single cell, and investigating where the energy to generate such motions originates.
“That work really shifted my direction,” Guo says. “I knew what I wanted to do: keep understanding how cell mechanics — in multicellular systems like organs and tissues — influence everything.”
In 2015, he made the move to MIT, where he accepted a junior faculty position in the Department of Mechanical Engineering. At the Institute, he has shaped his research goals around developing new tools and techniques to better study living cells and how their physical and mechanical properties influence how cells move, respond, deform, and function.
“In the last few years, we’ve made some big insights on how, if you change a cell’s mechanical environment, such as their stiffness or their water content, that has a major impact on some fundamental biochemistry, such as transcription and cell signaling, which in turn regulates multicellular growth,” Guo says. “So, cell mechanics can have a really profound impact on biology.”
In addition to his research, Guo also enjoys teaching MIT students, most recently in 2.788 (Mechanical Engineering and Design of Living Systems), a class that challenges students to apply the mechanics of cells to design novel systems and machines. In a recent class, students have been using cardiac muscle cells to pump liquid through a microfluidic chip. A previous class amplified the natural voltage inside a plant to power a small wheel.
“The most energetic and happy moments I have are in talking to students,” Guo says. “They often give me surprises or new ideas that I love and most look forward to.”
In recent years, Guo’s research and teaching have expanded to consider not just the mechanics of single cells, but also multicellular systems — a shift he credits with the arrival of his daughter.
“She was born in 2016, and at that time, my entire group was working on single cells,” Guo says. “But seeing how she’s developed, I feel that understanding something that complex is much more interesting. So, we have also started working on exploring the mechanics and mechanobiology of more complex systems such as tissues and embryos.”
Source:
https://news.mit.edu/2023/ming-guo-how-cell-mechanics-influences-everything-0326
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