{"title":"Conformal Patterns in the Growth of Human Skulls","authors":"M. Y. Tufail, S. Gul","doi":"10.1007/s10441-025-09503-6","DOIUrl":null,"url":null,"abstract":"<div><p>In 1917, over a century ago, D’Arcy Wentworth Thompson published his groundbreaking book “On Growth and Form”, in which he proposed various mathematical transformations between the shapes of organisms. This paper explores one of the transformations he suggested the conformal pattern-specifically in the context of the ontogenetic growth of human skulls. We applied two alternative algorithms to construct conformal transformations and used them to investigate the growth of human skulls. Our findings indicate that the conformal transformation cannot be dismissed as a potential model for the growth of human skulls.</p></div>","PeriodicalId":7057,"journal":{"name":"Acta Biotheoretica","volume":"73 3","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Biotheoretica","FirstCategoryId":"99","ListUrlMain":"https://link.springer.com/article/10.1007/s10441-025-09503-6","RegionNum":4,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICAL & COMPUTATIONAL BIOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
In 1917, over a century ago, D’Arcy Wentworth Thompson published his groundbreaking book “On Growth and Form”, in which he proposed various mathematical transformations between the shapes of organisms. This paper explores one of the transformations he suggested the conformal pattern-specifically in the context of the ontogenetic growth of human skulls. We applied two alternative algorithms to construct conformal transformations and used them to investigate the growth of human skulls. Our findings indicate that the conformal transformation cannot be dismissed as a potential model for the growth of human skulls.
期刊介绍:
Acta Biotheoretica is devoted to the promotion of theoretical biology, encompassing mathematical biology and the philosophy of biology, paying special attention to the methodology of formation of biological theory.
Papers on all kind of biological theories are welcome. Interesting subjects include philosophy of biology, biomathematics, computational biology, genetics, ecology and morphology. The process of theory formation can be presented in verbal or mathematical form. Moreover, purely methodological papers can be devoted to the historical origins of the philosophy underlying biological theories and concepts.
Papers should contain clear statements of biological assumptions, and where applicable, a justification of their translation into mathematical form and a detailed discussion of the mathematical treatment. The connection to empirical data should be clarified.
Acta Biotheoretica also welcomes critical book reviews, short comments on previous papers and short notes directing attention to interesting new theoretical ideas.