Challenges for modelling interventions for future pandemics.

Mirjam E Kretzschmar, Ben Ashby, Elizabeth Fearon, Christopher E Overton, Jasmina Panovska-Griffiths, Lorenzo Pellis, Matthew Quaife, Ganna Rozhnova, Francesca Scarabel, Helena B Stage, Ben Swallow, Robin N Thompson, Michael J Tildesley, Daniel Villela
Author Information
  1. Mirjam E Kretzschmar: Julius Center for Health Sciences and Primary Care, University Medical Center Utrecht, Utrecht University, Utrecht, The Netherlands. Electronic address: m.e.e.kretzschmar@umcutrecht.nl.
  2. Ben Ashby: Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK.
  3. Elizabeth Fearon: Department of Global Health and Development, London School of Hygiene and Tropical Medicine, London, UK; Centre for the Mathematical Modelling of Infectious Diseases, London School of Hygiene and Tropical Medicine, UK.
  4. Christopher E Overton: Department of Mathematics, University of Manchester, UK; Joint UNIversities Pandemic and Epidemiological Research, UK; Clinical Data Science Unit, Manchester University NHS Foundation Trust, UK.
  5. Jasmina Panovska-Griffiths: The Big Data Institute, Nuffield Department of Medicine, University of Oxford, Oxford, UK; The Queen's College, University of Oxford, Oxford, UK.
  6. Lorenzo Pellis: Department of Mathematics, University of Manchester, UK; Joint UNIversities Pandemic and Epidemiological Research, UK; The Alan Turing Institute, London, UK.
  7. Matthew Quaife: TB Modelling Group, Faculty of Epidemiology and Population Health, London School of Hygiene and Tropical Medicine, UK.
  8. Ganna Rozhnova: Julius Center for Health Sciences and Primary Care, University Medical Center Utrecht, Utrecht University, Utrecht, The Netherlands; BioISI-Biosystems & Integrative Sciences Institute, Faculdade de Ci��ncias, Universidade de Lisboa, Lisbon, Portugal.
  9. Francesca Scarabel: Department of Mathematics, University of Manchester, UK; Joint UNIversities Pandemic and Epidemiological Research, UK; CDLab - Computational Dynamics Laboratory, Department of Mathematics, Computer Science and Physics, University of Udine, Italy.
  10. Helena B Stage: Department of Mathematics, University of Manchester, UK; Joint UNIversities Pandemic and Epidemiological Research, UK; University of Potsdam, Germany; Humboldt University of Berlin, Germany.
  11. Ben Swallow: School of Mathematics and Statistics, University of Glasgow, Glasgow, UK; Scottish Covid-19 Response Consortium, UK.
  12. Robin N Thompson: Joint UNIversities Pandemic and Epidemiological Research, UK; Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK; Zeeman Institute for Systems Biology and Infectious Disease Epidemiology Research, University of Warwick, Coventry CV4 7AL, UK.
  13. Michael J Tildesley: Joint UNIversities Pandemic and Epidemiological Research, UK; Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK; Zeeman Institute for Systems Biology and Infectious Disease Epidemiology Research, University of Warwick, Coventry CV4 7AL, UK.
  14. Daniel Villela: Program of Scientific Computing, Oswaldo Cruz Foundation, Rio de Janeiro, Brazil.

Abstract

Mathematical modelling and statistical inference provide a framework to evaluate different non-pharmaceutical and pharmaceutical interventions for the control of epidemics that has been widely used during the COVID-19 pandemic. In this paper, lessons learned from this and previous epidemics are used to highlight the challenges for future pandemic control. We consider the availability and use of data, as well as the need for correct parameterisation and calibration for different model frameworks. We discuss challenges that arise in describing and distinguishing between different interventions, within different modelling structures, and allowing both within and between host dynamics. We also highlight challenges in modelling the health economic and political aspects of interventions. Given the diversity of these challenges, a broad variety of interdisciplinary expertise is needed to address them, combining mathematical knowledge with biological and social insights, and including health economics and communication skills. Addressing these challenges for the future requires strong cross-disciplinary collaboration together with close communication between scientists and policy makers.

Keywords

References

  1. Euro Surveill. 2021 Feb;26(8): [PMID: 33632374]
  2. Am J Epidemiol. 2004 Sep 15;160(6):509-16 [PMID: 15353409]
  3. Lancet. 2021 Jan 9;397(10269):92-93 [PMID: 33347811]
  4. J R Soc Interface. 2007 Oct 22;4(16):925-34 [PMID: 17609179]
  5. Infect Dis Model. 2020 Dec 30;6:222-231 [PMID: 33506153]
  6. Proc Natl Acad Sci U S A. 2011 Sep 13;108(37):15504-9 [PMID: 21876129]
  7. Epidemics. 2021 Dec;37:100516 [PMID: 34775298]
  8. J R Soc Interface. 2020 Sep;17(170):20200518 [PMID: 32993434]
  9. Ecol Modell. 2016 Mar 24;324:28-32 [PMID: 27019546]
  10. Health Econ. 2015 Mar;24(3):318-32 [PMID: 24497185]
  11. Vaccines (Basel). 2021 Mar 11;9(3): [PMID: 33799544]
  12. J R Soc Interface. 2020 Dec;17(173):20200652 [PMID: 33323054]
  13. Lancet Public Health. 2021 Jan;6(1):e30-e38 [PMID: 33308423]
  14. AIDS. 1997 Apr;11(5):641-8 [PMID: 9108946]
  15. Nat Phys. 2021 May;17:652-658 [PMID: 34367312]
  16. Proc Natl Acad Sci U S A. 2010 Jan 19;107(3):1041-6 [PMID: 19955428]
  17. Science. 2021 Feb 19;371(6531): [PMID: 33323424]
  18. BMC Med. 2020 Jul 30;18(1):240 [PMID: 32727547]
  19. Nat Commun. 2020 Sep 30;11(1):4961 [PMID: 32999287]
  20. Nat Commun. 2020 Sep 30;11(1):4959 [PMID: 32999285]
  21. Nature. 2021 Jan;589(7840):82-87 [PMID: 33171481]
  22. Lancet Digit Health. 2020 Aug;2(8):e388-e390 [PMID: 32835196]
  23. BMC Public Health. 2012 Nov 09;12:962 [PMID: 23140513]
  24. Emerg Infect Dis. 2004 May;10(5):832-41 [PMID: 15200816]
  25. PLoS Comput Biol. 2010 Mar 26;6(3):e1000721 [PMID: 20361048]
  26. PLoS One. 2017 Jul 7;12(7):e0180802 [PMID: 28686719]
  27. Phytopathology. 2012 Apr;102(4):365-80 [PMID: 22106830]
  28. Epidemics. 2022 Jun;39:100588 [PMID: 35679714]
  29. Nature. 2001 Oct 4;413(6855):542-8 [PMID: 11586365]
  30. Epidemics. 2015 Mar;10:72-7 [PMID: 25843388]
  31. Science. 2021 Apr 23;372(6540):363-370 [PMID: 33688062]
  32. J R Soc Interface. 2021 Sep;18(182):20210214 [PMID: 34465208]
  33. Paediatr Respir Rev. 2020 Sep;35:57-60 [PMID: 32690354]
  34. BMC Med. 2020 May 7;18(1):124 [PMID: 32375776]
  35. J Clin Med. 2020 Feb 11;9(2): [PMID: 32054124]
  36. Science. 2020 May 8;368(6491): [PMID: 32234805]
  37. J R Soc Interface. 2021 Feb;18(175):20200936 [PMID: 33622148]
  38. Proc Biol Sci. 2009 Jun 7;276(1664):2071-80 [PMID: 19324753]
  39. Science. 2010 Sep 3;329(5996):1194-7 [PMID: 20813952]
  40. Science. 2020 Nov 13;370(6518):763-765 [PMID: 33087460]
  41. Nature. 2020 Dec;588(7839):E26-E28 [PMID: 33361787]
  42. Health Econ. 2015 Jun;24(6):742-54 [PMID: 24798212]
  43. Math Biosci. 2010 Jan;223(1):24-31 [PMID: 19854206]
  44. PLoS Med. 2012;9(7):e1001245 [PMID: 22802730]
  45. Science. 2021 Feb 26;371(6532):916-921 [PMID: 33479118]
  46. J Eval Clin Pract. 2020 Aug;26(4):1070-1077 [PMID: 32455503]
  47. BMJ. 2020 Sep 3;370:m3364 [PMID: 32883673]
  48. Epidemics. 2021 Dec;37:100499 [PMID: 34534749]
  49. Epidemics. 2021 Dec;37:100506 [PMID: 34628108]
  50. Epidemics. 2015 Mar;10:45-8 [PMID: 25843382]
  51. Nature. 2020 Aug;584(7820):257-261 [PMID: 32512579]
  52. PLoS Comput Biol. 2012 Jan;8(1):e1002328 [PMID: 22241973]
  53. Science. 2020 Jun 26;368(6498):1481-1486 [PMID: 32350060]
  54. Lancet Infect Dis. 2021 Jul;21(7):962-974 [PMID: 33743846]
  55. Proc Natl Acad Sci U S A. 2021 Sep 28;118(39): [PMID: 34561307]
  56. BMJ Glob Health. 2020 Oct;5(10): [PMID: 33097547]
  57. Nat Commun. 2021 Jan 12;12(1):323 [PMID: 33436609]
  58. AIDS. 2011 Nov 13;25(17):F21-7 [PMID: 21857492]
  59. Ann Intern Med. 2021 Apr;174(4):511-520 [PMID: 33370173]
  60. Epidemics. 2015 Mar;10:21-5 [PMID: 25843377]
  61. PLoS Comput Biol. 2017 Sep 12;13(9):e1005697 [PMID: 28898249]
  62. Lancet. 2009 Jan 3;373(9657):48-57 [PMID: 19038438]
  63. Emerg Infect Dis. 2016 Jan;22(1):105-8 [PMID: 26691346]
  64. Evol Med Public Health. 2022 Dec 19;11(1):80-89 [PMID: 37007165]
  65. Science. 2020 Nov 13;370(6518):760-762 [PMID: 33184192]
  66. Epidemics. 2019 Dec;29:100356 [PMID: 31624039]
  67. Proc Natl Acad Sci U S A. 2021 Jan 12;118(2): [PMID: 33361331]
  68. PLoS Comput Biol. 2013;9(3):e1002989 [PMID: 23555223]
  69. Sci Rep. 2016 Dec 05;6:38100 [PMID: 27917890]
  70. J Virus Erad. 2017 Jul 1;3(3):117-123 [PMID: 28758018]
  71. Math Biosci. 2000 Mar;164(1):39-64 [PMID: 10704637]
  72. Epidemics. 2015 Mar;10:16-20 [PMID: 25843376]
  73. PLoS Med. 2020 Jul 21;17(7):e1003166 [PMID: 32692736]
  74. PLoS Comput Biol. 2016 Aug 01;12(8):e1005012 [PMID: 27479074]
  75. Epidemics. 2015 Mar;10:11-5 [PMID: 25843375]
  76. Epidemics. 2015 Mar;10:1-5 [PMID: 25843373]
  77. Emerg Infect Dis. 2016 Jan;22(1):146-8 [PMID: 26689765]
  78. J R Soc Interface. 2020 May;17(166):20200230 [PMID: 32400267]
  79. Lancet Planet Health. 2021 Mar;5(3):e135-e144 [PMID: 33524310]
  80. Lancet Public Health. 2020 Aug;5(8):e452-e459 [PMID: 32682487]
  81. Lancet Infect Dis. 2021 Aug;21(8):1097-1106 [PMID: 33811817]
  82. R Soc Open Sci. 2021 Apr 7;8(4):202091 [PMID: 33868698]
  83. Lancet Infect Dis. 2017 Feb;17(2):e42-e48 [PMID: 27988094]
  84. N Engl J Med. 2011 Aug 11;365(6):493-505 [PMID: 21767103]
  85. Proc Biol Sci. 2020 Aug 12;287(1932):20201405 [PMID: 32781946]
  86. Epidemics. 2021 Dec;37:100507 [PMID: 34823222]
  87. J R Soc Interface. 2007 Oct 22;4(16):879-91 [PMID: 17640863]
  88. Philos Trans R Soc Lond B Biol Sci. 2021 Jul 19;376(1829):20200264 [PMID: 34053267]
  89. R Soc Open Sci. 2021 Jul 14;8(7):210530 [PMID: 34277027]
  90. Am J Public Health. 2018 Apr;108(4):464-471 [PMID: 29470118]
  91. J Theor Biol. 2020 Dec 7;506:110380 [PMID: 32698028]
  92. Am J Trop Med Hyg. 2020 Nov;103(5):1871-1882 [PMID: 32959760]
  93. Phys Rev E. 2019 Sep;100(3-1):032313 [PMID: 31640001]
  94. Lancet Public Health. 2020 Jul;5(7):e375-e385 [PMID: 32502389]
  95. AIDS. 2000 Mar 31;14(5):573-93 [PMID: 10780720]
  96. Lancet Infect Dis. 2021 Apr;21(4):482-492 [PMID: 33357518]
  97. PLoS Comput Biol. 2012;8(7):e1002616 [PMID: 22844241]
  98. Stat Med. 2012 Sep 10;31(20):2240-8 [PMID: 22419564]
  99. Vaccine. 2012 Apr 27;30 Suppl 1:A15-23 [PMID: 22520124]
  100. BMC Med. 2018 Sep 26;16(1):162 [PMID: 30253772]
  101. Sci Adv. 2020 Jun 05;6(23):eabc0764 [PMID: 32548274]
  102. Elife. 2021 Feb 05;10: [PMID: 33543709]
  103. PLoS Biol. 2014 Oct 21;12(10):e1001970 [PMID: 25333371]
  104. Epidemics. 2015 Mar;10:6-10 [PMID: 25843374]
  105. Trends Parasitol. 2017 Mar;33(3):175-184 [PMID: 27727128]
  106. SSM Popul Health. 2020 Dec;12:100651 [PMID: 33072839]
  107. Cost Eff Resour Alloc. 2018 Jul 30;16:27 [PMID: 30069166]
  108. Nat Commun. 2021 Mar 12;12(1):1614 [PMID: 33712603]
  109. Science. 1998 May 8;280(5365):912-5 [PMID: 9572737]
  110. Eur J Public Health. 2021 Feb 1;31(1):2 [PMID: 33393988]
  111. Nat Commun. 2021 Jan 15;12(1):378 [PMID: 33452267]
  112. Lancet Infect Dis. 2021 Jun;21(6):793-802 [PMID: 33743847]
  113. Epidemics. 2015 Mar;10:iii-iv [PMID: 25843395]
  114. PLoS Comput Biol. 2011 Feb 10;7(2):e1001076 [PMID: 21347316]
  115. Epidemics. 2022 Sep;40:100612 [PMID: 35930904]
  116. Nat Commun. 2021 Jun 16;12(1):3674 [PMID: 34135335]
  117. J Acquir Immune Defic Syndr. 2018 Mar 1;77(3):279-287 [PMID: 29210826]
  118. Nat Rev Immunol. 2021 May;21(5):330-335 [PMID: 33795856]
  119. Epidemics. 2021 Dec;37:100523 [PMID: 34856500]
  120. Science. 2001 Oct 26;294(5543):813-7 [PMID: 11679661]
  121. Epidemics. 2022 Mar;38:100547 [PMID: 35180542]
  122. Lancet Infect Dis. 2020 Oct;20(10):1151-1160 [PMID: 32559451]
  123. Sci Adv. 2021 Feb 3;7(6): [PMID: 33536223]
  124. Value Health. 2020 Nov;23(11):1462-1469 [PMID: 33127017]
  125. Proc Natl Acad Sci U S A. 2010 Jan 12;107(2):923-8 [PMID: 20080777]
  126. Curr Biol. 2020 Aug 3;30(15):R849-R857 [PMID: 32750338]
  127. Int J Epidemiol. 2020 Aug 1;49(4):1059-1062 [PMID: 32601669]
  128. PLoS Med. 2008 Mar 25;5(3):e74 [PMID: 18366252]
  129. J Math Biol. 2018 Dec;77(6-7):2023-2048 [PMID: 29766232]
  130. Nature. 2006 Mar 2;440(7080):83-6 [PMID: 16511494]
  131. Vaccine. 2013 Oct 1;31(42):4902-10 [PMID: 23871824]
  132. Am J Epidemiol. 2013 Nov 1;178(9):1505-12 [PMID: 24043437]
  133. Am J Epidemiol. 1996 Apr 15;143(8):816-22 [PMID: 8610692]

Grants

  1. MR/S020462/1/Medical Research Council
  2. MR/V028618/1/Medical Research Council
  3. MR/V038613/1/Medical Research Council

MeSH Term

COVID-19
Humans
Pandemics
SARS-CoV-2

Word Cloud

Created with Highcharts 10.0.0interventionschallengesmodellingdifferentfutureMathematicalcontrolepidemicsusedpandemichighlightwithinhealthcommunicationstatisticalinferenceprovideframeworkevaluatenon-pharmaceuticalpharmaceuticalwidelyCOVID-19paperlessonslearnedpreviousconsideravailabilityusedatawellneedcorrectparameterisationcalibrationmodelframeworksdiscussarisedescribingdistinguishingstructuresallowinghostdynamicsalsoeconomicpoliticalaspectsGivendiversitybroadvarietyinterdisciplinaryexpertiseneededaddresscombiningmathematicalknowledgebiologicalsocialinsightsincludingeconomicsskillsAddressingrequiresstrongcross-disciplinarycollaborationtogetherclosescientistspolicymakersChallengespandemicsmodelsNon-pharmaceuticalPandemicsPharmaceuticalPolicysupport

Similar Articles

Cited By