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window.loswp.work = {"work":{"id":59665384,"created_at":"2021-10-23T08:17:34.531-07:00","from_world_paper_id":181249998,"updated_at":"2025-02-01T23:53:35.076-08:00","_data":{"abstract":"In this paper we discuss how mathematics can be integrated into biological research as well as the benefits and challenges related to this process. The focus is on the research of diseases at the interface between wildlife, humans and livestock with some illustrative examples applications of mathematical models to disease research we have been personally involved with.","publisher":"Biomath Forum","ai_title_tag":"Mathematics in Disease Research Integration","publication_date":"2017,,","publication_name":"BIOMATH"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Can Mathematics be Biology’s next microscope in disease research at the interface?","broadcastable":false,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [1062251]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; 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":73471437,"attachmentType":"pdf"}"><img alt="First page of “Can Mathematics be Biology’s next microscope in disease research at the interface?”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/73471437/mini_magick20211023-30577-9vt3np.png?1635002359" /><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">Can Mathematics be Biology’s next microscope in disease research at the interface?</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="1062251" href="https://up-za.academia.edu/ArmandaBastos"><img alt="Profile image of Armanda Bastos" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/1062251/791549/9770987/s65_armanda.bastos.jpg" />Armanda Bastos</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2017, BIOMATH</p><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">6 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 = 59665384; 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Garner</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Veterinary Sciences</p><p class="ds-related-work--abstract ds2-5-body-sm">Diseases that affect both wild and domestic animals can be particularly difficult to prevent, predict, mitigate, and control. Such multi-host diseases can have devastating economic impacts on domestic animal producers and can present significant challenges to wildlife populations, particularly for populations of conservation concern. Few mathematical models exist that capture the complexities of these multi-host pathogens, yet the development of such models would allow us to estimate and compare the potential effectiveness of management actions for mitigating or suppressing disease in wildlife and/or livestock host populations. We conducted a workshop in March 2014 to identify the challenges associated with developing models of pathogen transmission across the wildlife-livestock interface. 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href="https://www.academia.edu/56199460/Challenges_and_Opportunities_Developing_Mathematical_Models_of_Shared_Pathogens_of_Domestic_and_Wild_Animals"><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="1" data-entity-id="31357612" 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/31357612/Some_mathematical_models_in_biology">Some mathematical models 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="32481470" href="https://independent.academia.edu/JamesMortimer">James Mortimer</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1967</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link 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class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/31193620/What_Is_Mathematical_Biology_and_How_Useful_Is_It"><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="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="4" 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="5" data-entity-id="81115239" 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/81115239/Mathematical_Biology_Education_Modeling_Makes_Meaning">Mathematical Biology Education: Modeling Makes Meaning</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="50064423" href="https://independent.academia.edu/JohnJungck">John Jungck</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Mathematical Modelling of Natural Phenomena, 2011</p><p class="ds-related-work--abstract ds2-5-body-sm">This special issue of Mathematical Modelling of Natural Phenomena on biomathematics education shares the work of fifteen groups at as many different institutions that have developed beautiful biological applications of mathematics that are different in three ways from much of what is currently available. First, many of these selections utilize current research in biomathematics rather than the well-known textbook examples that are at least a half-century old. Second, the selections focus on modules that are intended for instant classroom adoption, adaptation, and implementation. Instead of focusing on how to overcome the challenges of implementing mathematics into biology or biology into mathematics or on educational research on the effectiveness of some small implementation, the authors develop individual biological models sufficiently well such that they can be easily adopted and adapted for use in both mathematics and biology classrooms. A third difference in this collection is the substantive inclusion of discrete mathematics and innovative pedagogies. Because calculus-based models have received the majority of the biomathematics modeling attention until very recently, the focus on discrete models may seem surprising. The examples range from DNA nanostructures through viral capsids to neuronal processes and ecosystem problems. Furthermore, a taxonomy of quantitative reasoning and the role of modeling per se as a different practice are contextualized in contemporary biomathematics education.</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":"Mathematical Biology Education: Modeling Makes Meaning","attachmentId":87271694,"attachmentType":"pdf","work_url":"https://www.academia.edu/81115239/Mathematical_Biology_Education_Modeling_Makes_Meaning","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/81115239/Mathematical_Biology_Education_Modeling_Makes_Meaning"><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="47590704" 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/47590704/Mathematics_and_biology">Mathematics and 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="37640546" href="https://sun.academia.edu/JHofmeyr">Jan-Hendrik S Hofmeyr</a></div><p class="ds-related-work--metadata ds2-5-body-xs">South African Journal of Science</p><p class="ds-related-work--abstract ds2-5-body-sm">Hofmeyr J-HS. Mathematics and biology. S Afr J Sci. 2017;113(3/4), Art. #a0203, 3 pages. http://dx.doi. org/10.17159/sajs.2017/a0203 I am a biochemist turned theoretical systems biologist, who, by my definition, is someone who attempts to explain the emergence of systemic functional properties of the living cell that result from the interactions of its components. Mathematical modelling and computer simulation is the bread and butter of my everyday work. However, my formal training in mathematics was 1 year of 'mathematics for biologists', which certainly did not equip me with the tools I needed when, early on in my research career, I embarked on a theoretical and computational analysis of metabolic networks. To study the time-dependent and steady-state network behaviour I had to master the theory of non-linear differential equations and their numerical analysis; the framework of metabolic control analysis required me to learn linear algebra and the theory of matrices, and I had to teach myself computer programming. Lately I have become fascinated with self-fabrication and the functional organisation of cell processes and found that I needed to know about abstract algebra, category theory and the theory of formal systems and formal languages. Although this journey through mathematics has been exciting and rewarding, I do wish that I had had the appropriate training as part of my undergraduate studies. Nevertheless, as a biologist who uses mathematics to explore biological phenomena (in contrast to a biomathematician, who mines biology for interesting mathematical problems), I have learnt a lot about the relationship between biology and mathematics -a relationship which through its entire history has always been an uneasy one. Why this is so and why this may be changing are the questions I wish to explore here.</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 biology","attachmentId":66605910,"attachmentType":"pdf","work_url":"https://www.academia.edu/47590704/Mathematics_and_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/47590704/Mathematics_and_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="23295919" 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/23295919/Accelerating_mathematical_biological_linkages_Report_of_a_joint_NSF_NIH_workshop">Accelerating mathematical-biological linkages: Report of a joint NSF-NIH workshop</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="45183069" href="https://independent.academia.edu/MorseJennifer">Jennifer Morse</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2003</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":"Accelerating mathematical-biological linkages: Report of a joint NSF-NIH workshop","attachmentId":43760943,"attachmentType":"pdf","work_url":"https://www.academia.edu/23295919/Accelerating_mathematical_biological_linkages_Report_of_a_joint_NSF_NIH_workshop","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/23295919/Accelerating_mathematical_biological_linkages_Report_of_a_joint_NSF_NIH_workshop"><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="33024900" 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/33024900/A_Biologists_Guide_to_Mathematical_Modeling_in_Ecology_and_Evolution_1E_Otto_Day_posible_sustituto_de_mmath_ecology_">A Biologist's Guide to Mathematical Modeling in Ecology and Evolution 1E (Otto, Day) (posible sustituto de mmath ecology)</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="64317832" href="https://independent.academia.edu/CarlosTorres586">Carlos Torres</a></div><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 Biologist's Guide to Mathematical Modeling in Ecology and Evolution 1E (Otto, Day) (posible sustituto de mmath 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They can provide plausible scenarios of a complex biological behavior when intuition is not sufficient anymore. The process from a biological hypothesis to a mathematical model might be challenging for biologists that are not familiar with mathematical modeling.</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":"From a Biological Hypothesis to the Construction of a Mathematical Model","attachmentId":39474103,"attachmentType":"pdf","work_url":"https://www.academia.edu/17375304/From_a_Biological_Hypothesis_to_the_Construction_of_a_Mathematical_Model","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/17375304/From_a_Biological_Hypothesis_to_the_Construction_of_a_Mathematical_Model"><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":73471437,"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":73471437,"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_73471437" 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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