J R Soc Interface July 2023 PMID 37491910

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

Mentions

79
Peak: 42 in Sep 2023
across 6 sources since Mar 2023

Extended reach

372,473
potential audience

Total likes

752

Video views

13,694

Mentions per month

Mar 2023 – Oct 2025

Where it's discussed

  • X / Twitter65 posts
  • News5 articles
  • Bluesky3 posts
  • YouTube3 videos
  • Blogs2 articles
  • Reddit1 posts

AI synopsis

What people are saying

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.

AgreementStrong agreement

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

InterestHigh interest

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

EngagementHigh engagement

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

ImpactHigh 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.

Abstract in brief

  • 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.

Top posts

Most liked on X and Bluesky
橋本幸士 Koji Hashimoto
@hashimotostring · X

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

Sep 8, 2023 · 94 likes · 27 shares · 23,974 followers View post →
Sergey Minaev
@sminaev2015 · X

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

Aug 13, 2023 · 8 likes · 1 share · 31,499 followers View post →
Vaibhav Mohanty, PhD
@mohantymusic · X

@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

Aug 11, 2023 · 4 likes · 1 share · 282 followers View post →
Shi Huang 黄石
@shi_huang5 · X

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

Sep 5, 2023 · 3 likes · 8,376 followers View post →
もとやん
@motoyankk · X

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

Apr 27, 2025 · 3 likes · 731 followers View post →
hu.asch
@hu_asch · X

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

Aug 4, 2023 · 3 likes · 24 followers View post →

All mentions

Inside the Fractal Nature of DNA and Genetic Robustness

This video explores the self-similar fractal structures within DNA, highlighting how genotype-phenotype mappings exhibit maximum robustness. Based on recent research, it discusses implications for genetic variation and…

DIBEOS · Oct 11, 2025 11,804 views
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@insurrealist · X

@xenobataille btw have you seen this before? https://t.co/jyn6q7NbMb

Jul 23, 2025 · 1 like · 4,652 followers View post →
もとやん
@motoyankk · X

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

Apr 27, 2025 · 3 likes · 731 followers View post →
(((Dan Graur))) ダン דן גראור
@DanGraur · X

Is this the way number theorists masturbate? Or am I missing the hidden meaning of life? https://t.co/3zDGJ5Hk2X https://t.co/XupJ2EHoUr https://t.co/igJbvMO1Wy

Dec 9, 2023 · 3,348 followers View post →
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

Sep 25, 2023 · 1 like View post →
ohmohm
@ohmohm · X

“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

Sep 12, 2023 · 3,726 followers View post →
京大軽音 オリエンテーション
@kulmcorient · X

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

Sep 10, 2023 · 27 shares · 544 followers View post →
igdhk
@5yymfH · X

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

Sep 9, 2023 · 1 like · 2 followers View post →
三宅陽一郎MiyakeYouichiro
@miyayou · X

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

Sep 9, 2023 · 27 shares · 26,034 followers View post →
Хирокадзу Маруока
@hiroiseaux · X

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

Sep 9, 2023 · 27 shares · 50 followers View post →
えばしゅう
@koburouze845 · X

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

Sep 9, 2023 · 27 shares · 2,189 followers View post →
Research Hacks
@research_hacks · X

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

Sep 9, 2023 · 27 shares · 1,055 followers View post →
おかゆ
@oka_iu_tcan · X

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

Sep 8, 2023 · 27 shares · 490 followers View post →
yoshitake-h
@yoshitakeh · X

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

Sep 8, 2023 · 27 shares · 899 followers View post →
(ほぼ)毎日うんこ製造機
@woykiakesekaiky · X

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

Sep 8, 2023 · 27 shares · 396 followers View post →
Yoshiaki Araki 荒木義明
@alytile · X

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

Sep 8, 2023 · 27 shares · 3,102 followers View post →
yoshiyuki nishio
@nishiokov · X

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

Sep 8, 2023 · 27 shares · 518 followers View post →
Yu Nakajima
@nkjmu · X

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

Sep 8, 2023 · 27 shares · 1,613 followers View post →
adhara_mathphys
@adhara_mathphys · X

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

Sep 8, 2023 · 27 shares · 8,628 followers View post →
Kenji MISHIMA
@kvanadies · X

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

Sep 8, 2023 · 27 shares · 302 followers View post →
堀畑 和弘
@kazzhori · X

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

Sep 8, 2023 · 27 shares · 2,262 followers View post →
らぃおす
@ryos_physrockme · X

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

Sep 8, 2023 · 27 shares · 914 followers View post →
(A_Y)m
@A_Ym · X

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

Sep 8, 2023 · 27 shares · 375 followers View post →
大塩高志 君ソム、二期を諦めない!
@ZZsdjoCXmdteuMQ · X

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

Sep 8, 2023 · 27 shares · 466 followers View post →
C. elegans
@aeijmnoost · X

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

Sep 8, 2023 · 27 shares · 2,189 followers View post →
けみとれ
@chemicl_t · X

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

Sep 8, 2023 · 27 shares · 664 followers View post →
{Eiko Yoshizumi | 吉積英子}
@eiko_mc_y · X

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

Sep 8, 2023 · 27 shares · 912 followers View post →
a6nya
@a6nya · X

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

Sep 8, 2023 · 27 shares · 351 followers View post →
ADACHI Shun
@Nakajima_Ki_43 · X

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

Sep 8, 2023 · 27 shares · 29 followers View post →
橋本幸士 Koji Hashimoto
@hashimotostring · X

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

Sep 8, 2023 · 94 likes · 27 shares · 23,974 followers View post →
鹿島 勲 Kashima, Isao
@UTokyo_ADVES · X

https://t.co/x2c38FkRZL

Sep 8, 2023 · 48 followers View post →
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

Sep 7, 2023 View post →
Horizon Blue
@HorizonEternity · X

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

Sep 7, 2023 · 245 followers View post →
FlynnVIN10
@FlynnVIN10 · X

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

Sep 7, 2023 · 2 likes · 879 followers View post →
Наталя Викторовна
@Na7alia_MB · X

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

Sep 6, 2023 · 611 followers View post →
Наталя Викторовна
@Na7alia_MB · X

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

Sep 6, 2023 · 611 followers View post →
Eric Neumann
@ericneumann · X

Number theory and biology https://t.co/KKeKXzsjCJ

Sep 6, 2023 · 631 followers View post →
akihito_k
@itaihito2 · X

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

Sep 6, 2023 · 496 followers View post →
Heretic_City
@Heretic_City · X

https://t.co/ilJ0bmJrfF

Sep 6, 2023 · 841 followers View post →
Shoryuka
@Kermitofmyballs · X

Maths is everywhere https://t.co/j6r9Sy4xcq

Sep 6, 2023 · 304 followers View post →
Shi Huang 黄石
@shi_huang5 · X

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

Sep 5, 2023 · 3 likes · 8,376 followers View post →
Xochi/Dominique Guillet
@Xochipelli1953 · X

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

Sep 5, 2023 · 1 like · 2,271 followers View post →
Benji Bloom
@Benyamin_Bloom · X

“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

Sep 5, 2023 · 1,767 followers View post →
Kristine Jones
@KJo39037 · X

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

Sep 5, 2023 · 1 like · 389 followers View post →
Tina 2B
@MartineSalotti · X

RT @PuraVida_4_Ever: https://t.co/07FOTkuWa6

Aug 30, 2023 · 1 share · 3,760 followers View post →
Conrad Thomas-Collignon
@PuraVida_4_Ever · X

https://t.co/07FOTkuWa6

Aug 30, 2023 · 1 like · 1 share · 3,544 followers View post →
Victor V. Lobanenkov
@boris_ctcf · X

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

Aug 14, 2023 · 2,069 followers View post →
Daniel Ulatowski
@DanUlatowski · X

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

Aug 13, 2023 · 343 followers View post →
Armitage
@36_72541890 · X

https://t.co/F0khOXxYwB

Aug 13, 2023 · 2,739 followers View post →
Ken Gusler
@kgusler · X

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

Aug 13, 2023 · 19,968 followers View post →
Sergey Minaev
@sminaev2015 · X

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

Aug 13, 2023 · 1 share · 31,499 followers View post →
Basweti
@michaelalexbas · X

https://t.co/uaYaCTcXE6

Aug 13, 2023 · 1 like · 424 followers View post →
Sergey Minaev
@sminaev2015 · X

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

Aug 13, 2023 · 8 likes · 1 share · 31,499 followers View post →
aleg
@alegarzac · X

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

Aug 12, 2023 · 1 share · 1,145 followers View post →
aleg
@alegarzac · X

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

Aug 12, 2023 · 1 share · 1,145 followers View post →
Prof John L Daniels
@DrJohnLDaniels1 · X

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.

Aug 12, 2023 · 1 like · 1 share · 575 followers View post →
Vaibhav Mohanty, PhD
@mohantymusic · X

@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

Aug 11, 2023 · 4 likes · 1 share · 282 followers View post →
Vaibhav Mohanty, PhD
@mohantymusic · X

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

Aug 11, 2023 · 282 followers View post →
Ben Schulz
@schulzb589 · X

@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

Aug 8, 2023 · 2 likes · 1,878 followers View post →
Sandbird
@Sandbird_ · X

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

Aug 8, 2023 · 1 like · 1,760 followers View post →
Ordo Fraterna Fibonacci
@OrdoFibonacci · X

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

Aug 8, 2023 · 2,567 followers View post →
Deborah Aby
@DeborahAby1 · X

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

Aug 5, 2023 · 2 followers View post →
Kaitlin
@justktln2.bsky.social · Bluesky

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

Aug 4, 2023 · 2 likes · 1 share View post →
Dr Colleen MacMillan
@ColleenMac3 · X

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

Aug 4, 2023 · 691 followers View post →
hu.asch
@hu_asch · X

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

Aug 4, 2023 · 3 likes · 24 followers View post →
Helen Martirosova,PhD, MSc
@HMartirosova · X

https://t.co/lUIOfgMnQX

Aug 4, 2023 · 86 followers View post →
Frank Paul Mora
@InTime_49 · X

RT @biorxivpreprint: Maximum Mutational Robustness in Genotype-Phenotype Maps Follows a Self-similar Blancmange-like Curve https://t.co/Xd…

Mar 13, 2023 · 1 share · 433 followers View post →
bioRxiv Evobio
@biorxiv_evobio · X

Maximum Mutational Robustness in Genotype-Phenotype Maps Follows a Self-similar Blancmange-like Curve https://t.co/q2WxFHb81I #biorxiv_evobio

Mar 13, 2023 · 4,490 followers View post →
bioRxiv
@biorxivpreprint · X

Maximum Mutational Robustness in Genotype-Phenotype Maps Follows a Self-similar Blancmange-like Curve https://t.co/XdnjZF3IR9 #bioRxiv

Mar 13, 2023 · 2 likes · 1 share · 138,348 followers View post →
Descubren una conexión sorprendente entre la Teoría de Números ...
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La biología actúa como si conociera la función fractal de la suma de dígitos, según un estudio.

Sep 8, 2023 View →
Scientists uncover hidden math that governs genetic mutations : r ...
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Aug 12, 2023 View →
Unexpected link between pure mathematics and genetics discovered
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Aug 8, 2023 View →
数论的应用,扩展到了进化遗传学|序列|数论|生物学|表型|遗传学_手机 ...
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Scientists uncover a surprising connection between number theory ...
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Aug 4, 2023 View →
Scientists uncover a surprising connection between number theory ...
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Aug 1, 2023 View →
Scientists uncover a surprising connection between number theory ...
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Scientists uncover a surprising connection between number theory ...
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