* . *
  • About
  • Advertise
  • Privacy & Policy
  • Contact
Friday, August 8, 2025
Earth-News
  • Home
  • Business
  • Entertainment
    Peacock’s Biggest Action Show Streams 2 New Episodes Sooner Than You Think – yahoo.com

    Peacock’s Hottest Action Show Drops 2 New Episodes Sooner Than Expected!

    Themed Entertainment Design – Purdue Polytechnic

    Innovative Themed Entertainment Design: Creating Immersive Experiences

    Rachael Leigh Cook and Brandon Routh ‘Happy to Have Found Each Other’ Following Respective Divorces – yahoo.com

    Rachael Leigh Cook and Brandon Routh ‘Happy to Have Found Each Other’ Following Respective Divorces – yahoo.com

    ‘Billie Jean’ – Hyde Park Herald

    The Enduring Magic Behind ‘Billie Jean’ Revealed

    Hank Hill returns to a changed world in new ‘King of the Hill’ episodes – New Haven Register

    Hank Hill Navigates a Bold New World in Thrilling New ‘King of the Hill’ Episodes

    Exclusive | Fox Takes Stake in IndyCar Owner Penske Entertainment – The Wall Street Journal

    Exclusive | Fox Takes Stake in IndyCar Owner Penske Entertainment – The Wall Street Journal

  • General
  • Health
  • News

    Cracking the Code: Why China’s Economic Challenges Aren’t Shaking Markets, Unlike America’s” – Bloomberg

    Trump’s Narrow Window to Spread the Truth About Harris

    Trump’s Narrow Window to Spread the Truth About Harris

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Trending Tags

    • Trump Inauguration
    • United Stated
    • White House
    • Market Stories
    • Election Results
  • Science
  • Sports
  • Technology
    MBU showcases student work at Occupational Therapy Technology Fair – WHSV

    Discover the Most Innovative Student Projects at the Occupational Therapy Technology Fair

    BlackSky Technology Inc. (BKSY) Reports Q2 Loss, Lags Revenue Estimates – Yahoo Finance

    BlackSky Technology Inc. Reports Q2 Loss, Misses Revenue Targets

    Improved Technology Access: A Key to Closing the Healthcare Gap for African Americans – BIOENGINEER.ORG

    LMI Expands Technology Org, Appoints New Leaders – GovCon Wire

    LMI Expands Technology Team with Dynamic New Leadership Appointments

    Midland Innovation and Technology Charter School closing down – CBS News

    Midland Innovation and Technology Charter School Closes Permanently

    Future Trends In HR Technology – Dataconomy

    Future Trends In HR Technology – Dataconomy

    Trending Tags

    • Nintendo Switch
    • CES 2017
    • Playstation 4 Pro
    • Mark Zuckerberg
No Result
View All Result
  • Home
  • Business
  • Entertainment
    Peacock’s Biggest Action Show Streams 2 New Episodes Sooner Than You Think – yahoo.com

    Peacock’s Hottest Action Show Drops 2 New Episodes Sooner Than Expected!

    Themed Entertainment Design – Purdue Polytechnic

    Innovative Themed Entertainment Design: Creating Immersive Experiences

    Rachael Leigh Cook and Brandon Routh ‘Happy to Have Found Each Other’ Following Respective Divorces – yahoo.com

    Rachael Leigh Cook and Brandon Routh ‘Happy to Have Found Each Other’ Following Respective Divorces – yahoo.com

    ‘Billie Jean’ – Hyde Park Herald

    The Enduring Magic Behind ‘Billie Jean’ Revealed

    Hank Hill returns to a changed world in new ‘King of the Hill’ episodes – New Haven Register

    Hank Hill Navigates a Bold New World in Thrilling New ‘King of the Hill’ Episodes

    Exclusive | Fox Takes Stake in IndyCar Owner Penske Entertainment – The Wall Street Journal

    Exclusive | Fox Takes Stake in IndyCar Owner Penske Entertainment – The Wall Street Journal

  • General
  • Health
  • News

    Cracking the Code: Why China’s Economic Challenges Aren’t Shaking Markets, Unlike America’s” – Bloomberg

    Trump’s Narrow Window to Spread the Truth About Harris

    Trump’s Narrow Window to Spread the Truth About Harris

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    Israel-Gaza war live updates: Hamas leader Ismail Haniyeh assassinated in Iran, group says

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    PAP Boss to Niger Delta Youths, Stay Away from the Protest

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Court Restricts Protests In Lagos To Freedom, Peace Park

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Fans React to Jazz Jennings’ Inspiring Weight Loss Journey

    Trending Tags

    • Trump Inauguration
    • United Stated
    • White House
    • Market Stories
    • Election Results
  • Science
  • Sports
  • Technology
    MBU showcases student work at Occupational Therapy Technology Fair – WHSV

    Discover the Most Innovative Student Projects at the Occupational Therapy Technology Fair

    BlackSky Technology Inc. (BKSY) Reports Q2 Loss, Lags Revenue Estimates – Yahoo Finance

    BlackSky Technology Inc. Reports Q2 Loss, Misses Revenue Targets

    Improved Technology Access: A Key to Closing the Healthcare Gap for African Americans – BIOENGINEER.ORG

    LMI Expands Technology Org, Appoints New Leaders – GovCon Wire

    LMI Expands Technology Team with Dynamic New Leadership Appointments

    Midland Innovation and Technology Charter School closing down – CBS News

    Midland Innovation and Technology Charter School Closes Permanently

    Future Trends In HR Technology – Dataconomy

    Future Trends In HR Technology – Dataconomy

    Trending Tags

    • Nintendo Switch
    • CES 2017
    • Playstation 4 Pro
    • Mark Zuckerberg
No Result
View All Result
Earth-News
No Result
View All Result
Home Science

Scientists Uncover a Surprising Link Between Pure Mathematics and Genetics

August 4, 2023
in Science
Scientists Uncover a Surprising Link Between Pure Mathematics and Genetics
Share on FacebookShare on Twitter

Evolution Genetics Abstract

Researchers have discovered an unexpected link between number theory in mathematics and genetics, providing critical insight into the nature of neutral mutations and the evolution of organisms. The team found the maximal robustness of mutations—mutations that can occur without changing an organism’s characteristics—is proportional to the logarithm of all possible sequences that map to a phenotype, with a correction provided by the sums-of-digits function from number theory.

An interdisciplinary team of mathematicians, engineers, physicists, and medical scientists has discovered a surprising connection between pure mathematics and genetics. This connection sheds light on the structure of neutral mutations and the evolution of organisms.

Number theory, the study of the properties of positive integers, is perhaps the purest form of mathematics. At first sight, it may seem far too abstract to apply to the natural world. In fact, the influential American number theorist Leonard Dickson wrote “Thank God that number theory is unsullied by any application.”

And yet, again and again, number theory finds unexpected applications in science and engineering, from leaf angles that (almost) universally follow the Fibonacci sequence, to modern encryption techniques based on factoring prime numbers. Now, researchers have demonstrated an unexpected link between number theory and evolutionary genetics.

Specifically, the team of researchers (from Oxford, Harvard, Cambridge, GUST, MIT, Imperial, and the Alan Turing Institute) have discovered a deep connection between the sums-of-digits function from number theory and a key quantity in genetics, the phenotype mutational robustness. This quality is defined as the average probability that a point mutation does not change a phenotype (a characteristic of an organism).

The discovery may have important implications for evolutionary genetics. Many genetic mutations are neutral, meaning that they can slowly accumulate over time without affecting the viability of the phenotype. These neutral mutations cause genome sequences to change at a steady rate over time. Because this rate is known, scientists can compare the percentage difference in the sequence between two organisms and infer when their latest common ancestor lived.

But the existence of these neutral mutations posed an important question: what fraction of mutations to a sequence are neutral? This property, called the phenotype mutational robustness, defines the average amount of mutations that can occur across all sequences without affecting the phenotype.

Professor Ard Louis from the University of Oxford, who led the study, said: “We have known for some time that many biological systems exhibit remarkably high phenotype robustness, without which evolution would not be possible. But we didn’t know what the absolute maximal robustness possible would be, or if there even was a maximum.”

It is precisely this question that the team has answered. They proved that the maximum robustness is proportional to the logarithm of the fraction of all possible sequences that map to a phenotype, with a correction which is given by the sums of digits function sk(n), defined as the sum of the digits of a natural number n in base k. For example, for n=123 in base 10, the digit sum would be s10(123)=1 + 2 + 3=6.

Another surprise was that the maximum robustness also turns out to be related to the famous Tagaki function, a bizarre function that is continuous everywhere, but differentiable nowhere. This fractal function is also called the blancmange curve, because it looks like the French dessert.

First author Dr. Vaibhav Mohanty (Harvard Medical School) added: “What is most surprising is that we found clear evidence in the mapping from sequences to RNA secondary structures that nature in some cases achieves the exact maximum robustness bound. It’s as if biology knows about the fractal sums-of-digits function.”

Professor Ard Louis added: “The beauty of number theory lies not only in the abstract relationships it uncovers between integers, but also in the deep mathematical structures it illuminates in our natural world. We believe that many intriguing new links between number theory and genetics will be found in the future.”

Reference: “Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve” by Vaibhav Mohanty, Sam F. Greenbury, Tasmin Sarkany, Shyam Narayanan, Kamaludin Dingle, Sebastian E. Ahnert and Ard A. Louis, 26 July 2023, Journal of The Royal Society Interface.
DOI: 10.1098/rsif.2023.0169

>>> Read full article>>>
Copyright for syndicated content belongs to the linked Source : SciTechDaily – https://scitechdaily.com/scientists-uncover-a-surprising-link-between-pure-mathematics-and-genetics/

Tags: scienceScientistsuncover
Previous Post

Igniting New Insights: The Thermal Shift in Quantum Field Theory

Next Post

Hidden Hypertension Hazard: Just a Single Alcoholic Drink a Day May Raise Blood Pressure

Netflix Scores Canadian Rights To FIFA Women’s World Cup For Next Two Tournaments – Deadline

Netflix Scores Canadian Rights To FIFA Women’s World Cup For Next Two Tournaments – Deadline

August 8, 2025
Professor Emeritus Peter Temin, influential and prolific economic historian, dies at 87 – MIT News

Renowned Economic Historian Professor Peter Temin Dies at 87

August 8, 2025
Peacock’s Biggest Action Show Streams 2 New Episodes Sooner Than You Think – yahoo.com

Peacock’s Hottest Action Show Drops 2 New Episodes Sooner Than Expected!

August 8, 2025
Nebraska doctors struggling with mental health issues had nowhere to go, until now – KSNB

Nebraska doctors struggling with mental health issues had nowhere to go, until now – KSNB

August 8, 2025
White House readies order to fine banks for dropping clients over politics, WSJ reports – Reuters

White House readies order to fine banks for dropping clients over politics, WSJ reports – Reuters

August 8, 2025
Icing‐related injuries in polar bears (Ursus maritimus) at high latitudes – Laidre – 2024 – Ecology – ESA Journals

Frozen Peril: The Devastating Impact of Icing Injuries on Polar Bears in the High Arctic

August 8, 2025
Carnegie Science Center launching new name in September – CBS News

Carnegie Science Center Unveils Exciting New Name This September

August 8, 2025
Petersburg youth explore Coho Creek for science education – Petersburg Pilot

Petersburg Youth Dive into Science with Hands-On Exploration of Coho Creek

August 8, 2025
Is there a path to healthier aging? What the latest research shows | Bodyworks – The Oklahoman

Is there a path to healthier aging? What the latest research shows | Bodyworks – The Oklahoman

August 8, 2025
MBU showcases student work at Occupational Therapy Technology Fair – WHSV

Discover the Most Innovative Student Projects at the Occupational Therapy Technology Fair

August 8, 2025

Categories

Archives

August 2025
MTWTFSS
 123
45678910
11121314151617
18192021222324
25262728293031
« Jul    
Earth-News.info

The Earth News is an independent English-language daily published Website from all around the World News

Browse by Category

  • Business (20,132)
  • Ecology (760)
  • Economy (783)
  • Entertainment (21,660)
  • General (16,352)
  • Health (9,823)
  • Lifestyle (793)
  • News (22,149)
  • People (784)
  • Politics (793)
  • Science (15,996)
  • Sports (21,280)
  • Technology (15,763)
  • World (766)

Recent News

Netflix Scores Canadian Rights To FIFA Women’s World Cup For Next Two Tournaments – Deadline

Netflix Scores Canadian Rights To FIFA Women’s World Cup For Next Two Tournaments – Deadline

August 8, 2025
Professor Emeritus Peter Temin, influential and prolific economic historian, dies at 87 – MIT News

Renowned Economic Historian Professor Peter Temin Dies at 87

August 8, 2025
  • About
  • Advertise
  • Privacy & Policy
  • Contact

© 2023 earth-news.info

No Result
View All Result

© 2023 earth-news.info

No Result
View All Result

© 2023 earth-news.info

Go to mobile version