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(PDF) Getting started in mathematical biology | Frank Hoppensteadt - Academia.edu
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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","grobid_abstract_attachment_id":"109612800"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Getting started in mathematical biology","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [35706037]; 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.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div 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But that does not mean mathematics has no role to play in the science of life; in fact, the field of biomathematics is burgeoning and has been for several decades. Ian Stewart’s new book does an admirable job of unfolding the mathematics undergirding so much of the research being carried out today in the many fields that comprise the subject of biology. Stewart sets the context by noting five great revolutions that have changed the way scientists think about life. These five revolutions are: (i) the microscope; (ii) classification; (iii) evolution; (iv) genetics, and (v) the structure of DNA. The sixth, Stewart says, is well on its way. It is mathematics. I’m ashamed to admit it, but I did not pass my high school biology exam (in the UK it was called the “Ordinary Level” exam, or “O” Level). Reading Chapter 2 of the book (“Creatures Small and Smaller”) brought back a lot of horrible memories about, well, mem...</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":"Putting the in Biology : A Review of The Mathematics of Life Reviewed by","attachmentId":89788425,"attachmentType":"pdf","work_url":"https://www.academia.edu/84930342/Putting_the_in_Biology_A_Review_of_The_Mathematics_of_Life_Reviewed_by","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/84930342/Putting_the_in_Biology_A_Review_of_The_Mathematics_of_Life_Reviewed_by"><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="15370140" 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/15370140/What_Has_Mathematics_Done_for_Biology">What Has Mathematics Done for 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="34520257" href="https://independent.academia.edu/MackeyMichael">Michael Mackey</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Bulletin of Mathematical Biology, 2015</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="7" data-entity-id="78047062" 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/78047062/The_dawn_of_mathematical_biology_A_aurora_da_biologia_matem%C3%A1tica">The dawn of mathematical biology A aurora da biologia matemática</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">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 ́s, as well as his latter idealization of a “relational biology”. I also underline that the creation of the journal The Bulletin of Mathematical Biophysics 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 A aurora da biologia matemática","attachmentId":85229913,"attachmentType":"pdf","work_url":"https://www.academia.edu/78047062/The_dawn_of_mathematical_biology_A_aurora_da_biologia_matem%C3%A1tica","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/78047062/The_dawn_of_mathematical_biology_A_aurora_da_biologia_matem%C3%A1tica"><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="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><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="9" data-entity-id="17927711" 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/17927711/The_mathematization_of_biology_and_medicine_Who_when_how_Retrospectroscope_">The mathematization of biology and medicine: Who, when, how? 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[Retrospectroscope]","attachmentId":39783565,"attachmentType":"pdf","work_url":"https://www.academia.edu/17927711/The_mathematization_of_biology_and_medicine_Who_when_how_Retrospectroscope_","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/17927711/The_mathematization_of_biology_and_medicine_Who_when_how_Retrospectroscope_"><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></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":109612800,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":109612800,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_109612800" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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