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{"work":{"id":31193620,"created_at":"2017-02-03T02:05:16.581-08:00","from_world_paper_id":null,"updated_at":"2025-02-01T22:57:35.548-08:00","_data":{"ai_abstract":"This article discusses the significance and utility of mathematical biology in addressing challenges in the biosciences, particularly in the context of rapid advancements such as the Human Genome Project and the development of new technologies. It emphasizes the necessity for mathematical scientists to engage collaboratively with biologists to effectively analyze large data sets and synthesize knowledge from complex biological systems, thereby fostering the growth of mathematical biosciences. The establishment of the Mathematical Biosciences Institute is highlighted as a response to the growing demand for mathematical expertise in bioscience research.","ai_title_tag":"Utility of Mathematical Biology in Biosciences"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"What Is Mathematical Biology and How Useful Is It","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [59606370]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loginModal = {}; window.loginModal.appleClientId = 'edu.academia.applesignon'; window.userInChina = "false";</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":51614951,"attachmentType":"pdf"}"><img alt="First page of “What Is Mathematical Biology and How Useful Is It”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/51614951/mini_magick20190124-32483-1s7rq9v.png?1548396711" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/images/single_work_splash/adobe_icon.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">What Is Mathematical Biology and How Useful Is It</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="59606370" href="https://jiwajigwaliormp.academia.edu/JavidAhmad"><img alt="Profile image of Javid Ganie" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/59606370/17784660/17809303/s65_javid.ganie.jpg" />Javid Ganie</a></div><div class="ds-work-card--detail"><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">7 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 31193620; const worksViewsPath = "/v0/works/views?subdomain_param=api&work_ids%5B%5D=31193620"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new Error('Failed to load work views'); } const data = await response.json(); return data.views[workId]; }; // Get the view count for the work - we send this immediately rather than waiting for // the DOM to load, so it can be available as soon as possible (but without holding up // the backend or other resource requests, because it's a bit expensive and not critical). const viewCount = await getWorkViews(workId); const updateViewCount = (viewCount) => { try { const viewCountNumber = parseInt(viewCount, 10); if (viewCountNumber === 0) { // Remove the whole views element if there are zero views. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); return; } const commaizedViewCount = viewCountNumber.toLocaleString(); const viewCountBody = document.getElementById('work-metadata-view-count'); if (!viewCountBody) { throw new Error('Failed to find work views element'); } viewCountBody.textContent = `${commaizedViewCount} views`; } catch (error) { // Remove the whole views element if there was some issue parsing. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); throw new Error(`Failed to parse view count: ${viewCount}`, error); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--detail ds2-5-body-md">AI-generated Abstract</p><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">This article discusses the significance and utility of mathematical biology in addressing challenges in the biosciences, particularly in the context of rapid advancements such as the Human Genome Project and the development of new technologies. It emphasizes the necessity for mathematical scientists to engage collaboratively with biologists to effectively analyze large data sets and synthesize knowledge from complex biological systems, thereby fostering the growth of mathematical biosciences. 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While bioinformatics has been very successful and widely accepted in biology, the acceptance of mathematical biology has been slower. Of course, there are notable exceptions-in ecology and epidemiology there is a long history of mathematical modelling [see, e.g., the books by and May and McLean (2007)], in physiology the Hodgkin-Huxley model is well known [see, e.g., the book by Keener and Sneyd ], while in pattern formation the Turing model (Turing 1952), while still controversial, has certainly stimulated an enormous amount of experimental activity and led to the paradigm patterning principle of short-range activation, long-range inhibition (Gierer and Meinhardt 1972).</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"What Has Mathematics Done for Biology?","attachmentId":43289367,"attachmentType":"pdf","work_url":"https://www.academia.edu/15370140/What_Has_Mathematics_Done_for_Biology","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/15370140/What_Has_Mathematics_Done_for_Biology"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="112356574" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/112356574/Getting_started_in_mathematical_biology">Getting started in mathematical biology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35706037" href="https://independent.academia.edu/FrankHoppensteadt">Frank Hoppensteadt</a></div><p class="ds-related-work--abstract ds2-5-body-sm">athematicians are sometimes known in high school biology classes for their tendency to faint during dissections and their ability to cook experiments to fit straight lines. In spite of these impressions, mathematicians and biologists, including medical scientists, have a long history of working successfully together. Sophisticated mathematical results have been used in and have emerged from the life sciences. Examples are given by the development of stochastic processes and statistical methods to solve problems in genetics and epidemics [1, 2] and in recent articles in these Notices on DNA topology and the genome project [3, 4]. Aristotle, Pythagoras, Fibonacci, Cardano, Fourier, Gauss, von Helmholtz, Riemann, Einstein, d'Arcy Thompson, Turing, Wiener, von Neumann, and Keller are other names associated with both significant applications of mathematics to life science problems and significant developments in mathematics motivated by the life sciences. Mathematical biology, like mathematical chemistry and physics, is a highly interdisciplinary area that defies classification into the usual a j + a j = SEPTEMBER 1995 NOTICES OF THE AMS 975</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Getting started in mathematical biology","attachmentId":109612800,"attachmentType":"pdf","work_url":"https://www.academia.edu/112356574/Getting_started_in_mathematical_biology","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/112356574/Getting_started_in_mathematical_biology"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="78047064" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/78047064/The_dawn_of_mathematical_biology">The dawn of mathematical biology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="28508546" href="https://independent.academia.edu/DanielSanderHoffmann">Daniel Sander Hoffmann</a></div><p class="ds-related-work--metadata ds2-5-body-xs">arXiv: History and Philosophy of Physics, 2015</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper I describe the early development of the so-called mathematical biophysics, as conceived by Nicolas Rashevsky back in the 1920&#39;s, as well as his latter idealization of a &quot;relational biology&quot;. I also underline that the creation of the journal &quot;The Bulletin of Mathematical Biophysics&quot; was instrumental in legitimating the efforts of Rashevsky and his students, and I finally argue that his pioneering efforts, while still largely unacknowledged, were vital for the development of important scientific contributions, most notably the McCulloch-Pitts model of neural networks.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The dawn of mathematical biology","attachmentId":85229916,"attachmentType":"pdf","work_url":"https://www.academia.edu/78047064/The_dawn_of_mathematical_biology","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/78047064/The_dawn_of_mathematical_biology"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="108867977" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/108867977/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences">The Unreasonable Effectiveness of Mathematics in the Natural Sciences</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="142077" href="https://warwick.academia.edu/SteveRuss">Steve Russ</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Interdisciplinary Science Reviews, 2011</p><p class="ds-related-work--abstract ds2-5-body-sm">A frequently put forward argument claims that biological systems are too complex for mathematical methods to be fruitfully applied. I argue that this argument from complexity is a fallacy. To the contrary, it is exactly the complexity of biological systems which calls for the use of mathematical methods. While some research strategies in molecular biology used to be less accessible for mathematical analysis, the emergence of systems biology as a scientific discipline is the most recent example of successful and effective applications of mathematical methods in biology. In today's scientific practice, there is evidence for the "unreasonable effectiveness of mathematics" in biology, differing from traditional mathematical biology, thus giving new support to a notion that still cannot be taken for granted.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The Unreasonable Effectiveness of Mathematics in the Natural Sciences","attachmentId":107230300,"attachmentType":"pdf","work_url":"https://www.academia.edu/108867977/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/108867977/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="74950865" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/74950865/A_mathematician_s_view_of_the_unreasonable_ineffectiveness_of_mathematics_in_biology">A mathematician’s view of the unreasonable ineffectiveness of mathematics in biology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="54937" href="https://independent.academia.edu/BorovikAlexandre">Alexandre Borovik</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Biosystems</p><p class="ds-related-work--abstract ds2-5-body-sm">This paper discusses, from a mathematician's point of view, the thesis formulated by Israel Gelfand, one of the greatest mathematicians of the 20th century, and one of the pioneers of mathematical biology: There is only one thing which is more unreasonable than the unreasonable effectiveness of mathematics in physics, and this is the unreasonable ineffectiveness of mathematics in biology. Disclaimer. The author writes in his personal capacity and views expressed do not represent position of any other person, corporation, organisation, or institution.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A mathematician’s view of the unreasonable ineffectiveness of mathematics in biology","attachmentId":82917572,"attachmentType":"pdf","work_url":"https://www.academia.edu/74950865/A_mathematician_s_view_of_the_unreasonable_ineffectiveness_of_mathematics_in_biology","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/74950865/A_mathematician_s_view_of_the_unreasonable_ineffectiveness_of_mathematics_in_biology"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="95876450" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/95876450/Mathematics_Serve_to_Orchestrate_the_Progression_of_Studies_In_Biological_Sciences_Overview_on_Occasion_of_April_the_Mathematics_Awareness_Month">Mathematics Serve to Orchestrate the Progression of Studies In Biological Sciences: Overview on Occasion of April, the Mathematics Awareness Month</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="98504639" href="https://independent.academia.edu/VKhyade">Vitthalrao Khyade</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2018</p><p class="ds-related-work--abstract ds2-5-body-sm">The mathematics and biology are the interdisciplinary approaches in the field of scientific research. Both, mathematics and biology deserve a wide range of applications. Mathematical biology or biomathematics is the study of mathematics for biology. One can derive the quantitative genetics through consideration of infinitesimal effects at a large number of gene loci, together with the assumption of linkage equilibrium or quasi-linkage equilibrium. Ronald Fisher made the intensive work on fundamental advances in statistics (Example: Analysis of Variance). This achievement by Ronald Fisher was through his work on quantitative genetics. The phylogenetics is one more important branch of population genetics that led to the extensive development of Biological sciences through Mathematics. The Phylogenetics is the branch dealing with the reconstruction and analysis of phylogenetic (evolutionary) trees and network based on inherited characteristics. Assumptions on the “Constant Population S...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Mathematics Serve to Orchestrate the Progression of Studies In Biological Sciences: Overview on Occasion of April, the Mathematics Awareness Month","attachmentId":97934720,"attachmentType":"pdf","work_url":"https://www.academia.edu/95876450/Mathematics_Serve_to_Orchestrate_the_Progression_of_Studies_In_Biological_Sciences_Overview_on_Occasion_of_April_the_Mathematics_Awareness_Month","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/95876450/Mathematics_Serve_to_Orchestrate_the_Progression_of_Studies_In_Biological_Sciences_Overview_on_Occasion_of_April_the_Mathematics_Awareness_Month"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="23422973" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/23422973/Mathematics_and_the_Biological_Phenomena1">Mathematics and the Biological Phenomena1</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="2771586" href="https://ens.academia.edu/GiuseppeLongo">Giuseppe Longo</a></div><p class="ds-related-work--abstract ds2-5-body-sm">The first part of this paper highlights some key aspects of the differences in the use of mathematical tools in physics and in biology. Scientific knowledge is viewed as a network of interactions, more than as a hierachically organized structure where mathematics would display the essence of phenomena. The concept of "unity" in the biological phenomenon is then discussed. In the second part, a foundational issue in mathematics is revisited, following recent perspectives in the physiology of action. The relevance of the historical formation of mathematical concepts is also emphasized.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Mathematics and the Biological Phenomena1","attachmentId":43865332,"attachmentType":"pdf","work_url":"https://www.academia.edu/23422973/Mathematics_and_the_Biological_Phenomena1","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/23422973/Mathematics_and_the_Biological_Phenomena1"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="112356538" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/112356538/Mathematics_in_Medicine_and_the_Life_Sciences">Mathematics in Medicine and the Life Sciences</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="35706037" href="https://independent.academia.edu/FrankHoppensteadt">Frank Hoppensteadt</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Annals of Internal Medicine, 1966</p><p class="ds-related-work--abstract ds2-5-body-sm">AII rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher Springer Science+Business Media, LLC. except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. 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Frontiers in mathematical biology/ S. A. Levin (ed.). p. cm.-(Lecture notes in biomathematics; 100). 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