Mathematical Modelling in Biomedicine: A Primer for the Curious and the Skeptic.

Publisher: MDPI Country of Publication: Switzerland NLM ID: 101092791 Publication Model: Electronic Cited Medium: Internet ISSN: 1422-0067 (Electronic) Linking ISSN: 14220067 NLM ISO Abbreviation: Int J Mol Sci Subsets: MEDLINE

Original Publication: Basel, Switzerland : MDPI, [2000-

Models, Theoretical*; Biomedical Research/*trends ; Molecular Biology/*trends; Humans

In most disciplines of natural sciences and engineering, mathematical and computational modelling are mainstay methods which are usefulness beyond doubt. These disciplines would not have reached today's level of sophistication without an intensive use of mathematical and computational models together with quantitative data. This approach has not been followed in much of molecular biology and biomedicine, however, where qualitative descriptions are accepted as a satisfactory replacement for mathematical rigor and the use of computational models is seen by many as a fringe practice rather than as a powerful scientific method. This position disregards mathematical thinking as having contributed key discoveries in biology for more than a century, e.g., in the connection between genes, inheritance, and evolution or in the mechanisms of enzymatic catalysis. Here, we discuss the role of computational modelling in the arsenal of modern scientific methods in biomedicine. We list frequent misconceptions about mathematical modelling found among biomedical experimentalists and suggest some good practices that can help bridge the cognitive gap between modelers and experimental researchers in biomedicine. This manuscript was written with two readers in mind. Firstly, it is intended for mathematical modelers with a background in physics, mathematics, or engineering who want to jump into biomedicine. We provide them with ideas to motivate the use of mathematical modelling when discussing with experimental partners. Secondly, this is a text for biomedical researchers intrigued with utilizing mathematical modelling to investigate the pathophysiology of human diseases to improve their diagnostics and treatment.

Front Oncol. 2013 Mar 19;3:56. (PMID: 23516248)
Nat Rev Genet. 2011 Jan;12(1):56-68. (PMID: 21164525)
Nat Rev Genet. 2007 Jun;8(6):450-61. (PMID: 17510665)
PLoS Comput Biol. 2019 Sep 12;15(9):e1007279. (PMID: 31513575)
Genetics. 2017 Mar;205(3):1003-1035. (PMID: 28270526)
Exp Mol Med. 2018 Mar 2;50(3):e453. (PMID: 29497170)
Cancer Immunol Res. 2019 Jan;7(1):12-28. (PMID: 30401679)
J Mol Biol. 1965 May;12:88-118. (PMID: 14343300)
Arch Pathol Lab Med. 2017 Nov;141(11):1544-1557. (PMID: 28782984)
J Cell Sci. 2007 Jun 1;120(Pt 11):1833-40. (PMID: 17515481)
Front Physiol. 2017 Aug 30;8:645. (PMID: 28912729)
Biochemistry. 2011 Oct 4;50(39):8264-9. (PMID: 21888353)
Nature. 2003 Nov 27;426(6965):460-5. (PMID: 14647386)
Nucleic Acids Res. 2014 Jul;42(12):7539-52. (PMID: 24875477)
Proc Natl Acad Sci U S A. 2000 Oct 10;97(21):11250-5. (PMID: 11016968)
Cell Rep. 2012 Jul 26;2(1):162-74. (PMID: 22840406)
Sci Rep. 2016 Apr 26;6:24967. (PMID: 27113331)
BMC Bioinformatics. 2010 May 07;11:233. (PMID: 20459647)
Eur J Immunol. 2004 Sep;34(9):2407-18. (PMID: 15307173)
Cell. 2011 Mar 18;144(6):986-98. (PMID: 21414488)
J Physiol. 2012 Jun 1;590(11):2571-5. (PMID: 22787170)
CPT Pharmacometrics Syst Pharmacol. 2015 Feb;4(2):e3. (PMID: 26225232)
Brief Bioinform. 2009 Jul;10(4):424-34. (PMID: 19270018)
BMC Syst Biol. 2011 Dec 15;5:198. (PMID: 22172142)
Proc R Soc Lond B Biol Sci. 1952 Oct 16;140(899):177-83. (PMID: 13003922)
Cell. 2009 Jan 23;136(2):215-33. (PMID: 19167326)
Semin Cancer Biol. 2011 Jun;21(3):150-5. (PMID: 21616150)
Wiley Interdiscip Rev Syst Biol Med. 2014 Jan-Feb;6(1):13-36. (PMID: 24123887)
J Integr Bioinform. 2015 Sep 04;12(2):258. (PMID: 26528556)
Theranostics. 2018 Jan 1;8(4):1106-1120. (PMID: 29464002)
Nucleic Acids Res. 2019 Sep 5;47(15):7753-7766. (PMID: 31340025)
Annu Rev Genet. 1981;15:265-94. (PMID: 6279018)
Sci Signal. 2017 Mar 14;10(470):. (PMID: 28292959)
Science. 1998 Apr 3;280(5360):69-77. (PMID: 9525859)
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Nov;74(5 Pt 1):051910. (PMID: 17279942)
Nucleic Acids Res. 2012 Oct;40(18):8818-34. (PMID: 22798498)
Drug Discov Today Technol. 2013 Summer;10(2):e223-8. (PMID: 24050272)
Science. 2004 Oct 22;306(5696):704-8. (PMID: 15499023)

Keywords: biomathematics; computational drug discovery; computational modelling; data-driven mathematical modelling; mathematical oncology; scientific method; systems biology

Date Created: 20210112 Date Completed: 20210330 Latest Revision: 20240806

20240806

PMC7826848

10.3390/ijms22020547

33430432