Maximum mutational robustness in genotype-phenotype maps follows a self-similar blancmange-like curve.

Vaibhav Mohanty, Sam F Greenbury, Tasmin Sarkany, Shyam Narayanan, Kamaludin Dingle, Sebastian E Ahnert, Ard A Louis

July 2023 J R Soc Interface

Synopsis of Social media discussions

The discussions frequently praise the study, citing its support for the maximum mutational robustness theory, and highlight its interdisciplinary significance through phrases like 'supports our theory' and 'biology knows about the fractal function.' The tone is enthusiastic and contemplative, emphasizing both the mathematical beauty and biological implications of the findings, reflecting a collective deep interest and recognition of its importance.

A
Agreement
 Strong agreement

Most discussions express enthusiasm and support for the significance of the research findings, with many references to the theory supporting maximum mutational robustness.

I
Interest
 High level of interest

Participants show high curiosity, with mentions of mathematical concepts, RNA structures, and interdisciplinary implications, indicating deep engagement.

E
Engagement
 High engagement

Posts include specific references to the paper, citations of related research, and technical debates, demonstrating meaningful participation.

I
Impact
 High level of impact

The widespread sharing, detailed interest, and recognition of the study's relevance across fields highlight its high influence and potential to shape future research.

Social Mentions

YouTube

3 Videos

Bluesky

3 Posts

Twitter

65 Posts

Blogs

2 Articles

News

5 Articles

Reddit

1 Posts

Metrics

Video Views

13,694

Total Likes

752

Extended Reach

372,473

Social Features

79

Timeline: Posts about article

Top Social Media Posts

Posts referencing the article

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  • |||||
    @insurrealist (Twitter)

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    July 23, 2025

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    @motoyankk (Twitter)

    数理生物をやるっていうのはこういうのをやっていかないといけないのかなあ.... やっぱ幅広い視点を勉強するためにも先人のしていることも完全に理解しないとなんだよな。 https://t.co/rySCJzJZS7
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    December 9, 2023

  • MU-Peter Shimon
    @mu-peter.bsky.social (Bluesky)

    Math appears to be an essential component of nature that gives structure to the physical world, even on microscopic levels. Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve
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    September 25, 2023

    1

  • ohmohm
    @ohmohm (Twitter)

    “คณิตศาสตร์บริสุทธิ์” คือกฎควบคุมการกลายพันธุ์ - วิวัฒนาการ - BBC News ไทย https://t.co/K1fOG9fGEE Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve. doi:10.1098/rsif.2023.0169
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    September 12, 2023

  • 京大軽音 オリエンテーション
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    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
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    @5yymfH (Twitter)

    多くの遺伝子変異は中立であり長い歴史の中で表現型への影響なくゆっくりと蓄積しえる。中立変異の可能性、phenotype mutational robustness の最大値は？全配列の表現型を示す変異の割合の対数に比例する事がわかった。この最大値にはフラクタル性質があると示された。https://t.co/I1We1PtgrG
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    September 9, 2023

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    September 9, 2023

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    September 8, 2023

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    @yoshitakeh (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

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    @woykiakesekaiky (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • Yoshiaki Araki 荒木義明
    @alytile (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • yoshiyuki nishio
    @nishiokov (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • Yu Nakajima
    @nkjmu (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • adhara_mathphys
    @adhara_mathphys (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • Kenji MISHIMA
    @kvanadies (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • 堀畑 和弘
    @kazzhori (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
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    September 8, 2023

    27

  • らぃおす
    @ryos_physrockme (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
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    September 8, 2023

    27

  • (A_Y)m
    @A_Ym (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • 大塩高志　君ソム、二期を諦めない！
    @ZZsdjoCXmdteuMQ (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • C. elegans
    @aeijmnoost (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • けみとれ
    @chemicl_t (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
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    September 8, 2023

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  • {Eiko Yoshizumi | 吉積英子}
    @eiko_mc_y (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • a6nya
    @a6nya (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
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    September 8, 2023

    27

  • ADACHI Shun
    @Nakajima_Ki_43 (Twitter)

    RT @hashimotostring: 遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

    27

  • 橋本幸士 Koji Hashimoto
    @hashimotostring (Twitter)

    遺伝子の突然変異に対する堅牢性が実はフラクタル性を示し、高木関数ぽいもので表されるという論文が出ている。遺伝子の表現型の写像にスケール不変性が現れるのが興味深い。自己組織化？ https://t.co/uxmAQ1V2SE
    view full post

    September 8, 2023

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  • 鹿島 勲 Kashima, Isao
    @UTokyo_ADVES (Twitter)

    https://t.co/x2c38FkRZL
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    September 8, 2023

  • MU-Peter Shimon
    @mu-peter.bsky.social (Bluesky)

    Nature, a wonderful realm where beauty is born out of mathematical relationships. 'Pure Math' Is Written Into Evolutionary Genetics Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve
    view full post

    September 7, 2023

  • Horizon Blue
    @HorizonEternity (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve https://t.co/aOjyH34ggd
    view full post

    September 7, 2023

  • FlynnVIN10
    @FlynnVIN10 (Twitter)

    Biology knows about the fractal sums-of-digits function. https://t.co/YektEarp1Z https://t.co/zjLoCIqOwB
    view full post

    September 7, 2023

    2

  • Наталя Викторовна
    @Na7alia_MB (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface https://t.co/33XMPvGSPE
    view full post

    September 6, 2023

  • Наталя Викторовна
    @Na7alia_MB (Twitter)

    Teoría de números y evolución, ya vio @pmiravi ? Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface https://t.co/33XMPvGSPE
    view full post

    September 6, 2023

  • Eric Neumann
    @ericneumann (Twitter)

    Number theory and biology https://t.co/KKeKXzsjCJ
    view full post

    September 6, 2023

  • akihito_k
    @itaihito2 (Twitter)

    やっぱこの研究めちゃくちゃ経済学に関係がある。 ・家みたいに柱の数やつながりが多いほど力の抜け道が多く頑健 ・フラクタルは最小限の情報量（繰り返し）でそれを実現（個人的洞察） ・数理的に安定した状態遷移を定義するメソッド（経済のカオスの定量的安定化） https://t.co/sk0oTqv1hP https://t.co/TT485210Im
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    September 6, 2023


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    September 6, 2023

  • Shoryuka
    @Kermitofmyballs (Twitter)

    Maths is everywhere https://t.co/j6r9Sy4xcq
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    September 6, 2023

  • Shi Huang 黄石
    @shi_huang5 (Twitter)

    This new paper supports our maximum GD theory that there is an upper limit on the range of mutations that can be tolerated. https://t.co/08RIvwmReB https://t.co/UannpjfJh0
    view full post

    September 5, 2023

    3

  • Xochi/Dominique Guillet
    @Xochipelli1953 (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve https://t.co/gkzcaJCB6y
    view full post

    September 5, 2023

    1

  • Benji Bloom
    @Benyamin_Bloom (Twitter)

    “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." https://t.co/lO5f3XLrar
    view full post

    September 5, 2023

  • Kristine Jones
    @KJo39037 (Twitter)

    This is what RNA research should be focusing on. Not "vaccines". This is proof of God's hand. Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface https://t.co/EuWqhETZQm
    view full post

    September 5, 2023

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    @MartineSalotti (Twitter)

    RT @PuraVida_4_Ever: https://t.co/07FOTkuWa6
    view full post

    August 30, 2023

    1

  • Conrad Thomas-Collignon
    @PuraVida_4_Ever (Twitter)

    https://t.co/07FOTkuWa6
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    August 30, 2023

    1

    1

  • Victor V. Lobanenkov
    @boris_ctcf (Twitter)

    The researchers published their findings July 26 in the Journal of the Royal Society Interface: ☞https://t.co/m9D01v63EQ https://t.co/eXwzY6kQCD https://t.co/2hvShT2LHo
    view full post

    August 14, 2023

  • Daniel Ulatowski
    @DanUlatowski (Twitter)

    Maximum mutational robustness in genotype–phenotype mapping https://t.co/aT7XxqPFS5
    view full post

    August 13, 2023

  • Armitage
    @36_72541890 (Twitter)

    https://t.co/F0khOXxYwB
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    August 13, 2023

  • Ken Gusler
    @kgusler (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve - https://t.co/6syhXhvmjC
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    August 13, 2023

  • Sergey Minaev
    @sminaev2015 (Twitter)

    RT @sminaev2015: Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Roy…
    view full post

    August 13, 2023

    1

  • Basweti
    @michaelalexbas (Twitter)

    https://t.co/uaYaCTcXE6
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    August 13, 2023

    1

  • Sergey Minaev
    @sminaev2015 (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface https://t.co/bbbEUJhpfh
    view full post

    August 13, 2023

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    1

  • aleg
    @alegarzac (Twitter)

    RT @mohantymusic: @LiveScience Thank you @LiveScience for interviewing me and featuring our work! @OxfordPhysics @harvardmed @MIT @Cambridg…
    view full post

    August 12, 2023

    1

  • aleg
    @alegarzac (Twitter)

    RT @DrJohnLDaniels1: I https://t.co/mCbsNhSSAF This is an important article about the maths of phenotypic robustness and the potential to…
    view full post

    August 12, 2023

    1

  • Prof John L Daniels
    @DrJohnLDaniels1 (Twitter)

    I https://t.co/mCbsNhSSAF This is an important article about the maths of phenotypic robustness and the potential to predict phenotypic disruption consequent on mutations. Wide implications re pathogenicity of disease agents. Quite technical, discussion less so.
    view full post

    August 12, 2023

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  • Vaibhav Mohanty, PhD
    @mohantymusic (Twitter)

    @LiveScience Thank you @LiveScience for interviewing me and featuring our work! @OxfordPhysics @harvardmed @MIT @Cambridge_Uni Read the full article here: https://t.co/9UsPDpsyWl
    view full post

    August 11, 2023

    4

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  • Vaibhav Mohanty, PhD
    @mohantymusic (Twitter)

    This work is now published in @royalsociety Interface https://t.co/r99htBuFWV
    view full post

    August 11, 2023

  • Ben Schulz
    @schulzb589 (Twitter)

    @drmichaellevin Makes one wonder if the RNA substructure for mutational robustness that follows the fractal Tagaki function and his idea for RNA universal computation have something in common. https://t.co/diYLwvGHzN
    view full post

    August 8, 2023

    2

  • Sandbird
    @Sandbird_ (Twitter)

    @ogregol @TinaTs2 I think I found the paper https://t.co/aMWXrxq7vz https://t.co/cnSWWfhYzW
    view full post

    August 8, 2023

    1

  • Ordo Fraterna Fibonacci
    @OrdoFibonacci (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface https://t.co/3AJzFkx0YN
    view full post

    August 8, 2023

  • Deborah Aby
    @DeborahAby1 (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface https://t.co/6f1jpbqHLP
    view full post

    August 5, 2023

  • Kaitlin
    @justktln2.bsky.social (Bluesky)

    @nmancuso.bsky.social this one goes hard https://royalsocietypublishing.org/doi/10.1098/rsif.2023.0169
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    August 4, 2023

    2

    1

  • Dr Colleen MacMillan
    @ColleenMac3 (Twitter)

    Neutral changes in DNA follow a maths theory! Interdisciplinary science is fab. See this culinary e.g. Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface @monsoon0 https://t.co/DXHZPtoC33
    view full post

    August 4, 2023

  • hu.asch
    @hu_asch (Twitter)

    Maximum mutational robustness in genotype–phenotype maps follows a self-similar blancmange-like curve | Journal of The Royal Society Interface https://t.co/UGSfwBGmgh
    view full post

    August 4, 2023

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  • Helen Martirosova,PhD, MSc
    @HMartirosova (Twitter)

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    August 4, 2023

  • Frank Paul Mora
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    March 13, 2023

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  • Scientists uncover a surprising connection between number theory ...

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    August 1, 2023

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Abstract Synopsis

  • Phenotype robustness refers to the ability of different genotypes to produce the same phenotype, which aids in the exploration of new variations in evolving populations.
  • Maximum phenotype robustness is found when genotypes are arranged in a specific pattern called bricklayer's graphs, with a unique mathematical function determining this robustness.
  • The study also demonstrates how RNA structures and protein folding models can reach this robustness limit, analyzing how robustness is affected by simplifying phenotypes and providing formulas for transition probabilities.