دورية أكاديمية
أعرض في EDS

Error-induced extinction in a multi-type critical birth-death process.

التفاصيل البيبلوغرافية
العنوان: Error-induced extinction in a multi-type critical birth-death process.
المؤلفون: Guasch MB; School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, EH9 3FD, UK. xell.brunetguasch@ed.ac.uk., Krapivsky PL; Department of Physics, Boston University, Boston, MA, 02215, USA.; Santa Fe Institute, Santa Fe, NM, 87501, USA., Antal T; School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, EH9 3FD, UK.
المصدر: Journal of mathematical biology [J Math Biol] 2024 Sep 02; Vol. 89 (4), pp. 36. Date of Electronic Publication: 2024 Sep 02.
نوع المنشور: Journal Article
اللغة: English
بيانات الدورية: Publisher: Springer Verlag Country of Publication: Germany NLM ID: 7502105 Publication Model: Electronic Cited Medium: Internet ISSN: 1432-1416 (Electronic) Linking ISSN: 03036812 NLM ISO Abbreviation: J Math Biol Subsets: MEDLINE
أسماء مطبوعة: Publication: Berlin : Springer Verlag
Original Publication: Wien, New York, Springer-Verlag.
مواضيع طبية MeSH: Extinction, Biological* , Mutation*, Humans ; Mathematical Concepts ; Mutation Rate ; Models, Biological ; Neoplasms/genetics ; Neoplasms/mortality ; Neoplasms/pathology ; Models, Genetic ; Animals ; Cell Death
مستخلص: Extreme mutation rates in microbes and cancer cells can result in error-induced extinction (EEX), where every descendant cell eventually acquires a lethal mutation. In this work, we investigate critical birth-death processes with n distinct types as a birth-death model of EEX in a growing population. Each type-i cell divides independently ( i ) → ( i ) + ( i ) or mutates ( i ) → ( i + 1 ) at the same rate. The total number of cells grows exponentially as a Yule process until a cell of type-n appears, which cell type can only divide or die at rate one. This makes the whole process critical and hence after the exponentially growing phase eventually all cells die with probability one. We present large-time asymptotic results for the general n-type critical birth-death process. We find that the mass function of the number of cells of type-k has algebraic and stationary tail ( size ) - 1 - χ k , with χ k = 2 1 - k , for k = 2 , ⋯ , n , in sharp contrast to the exponential tail of the first type. The same exponents describe the tail of the asymptotic survival probability ( time ) - ξ k . We present applications of the results for studying extinction due to intolerable mutation rates in biological populations.
(© 2024. The Author(s).)
References: Annu Rev Immunol. 2019 Apr 26;37:173-200. (PMID: 30550719)
Proc Natl Acad Sci U S A. 1996 Apr 2;93(7):2856-61. (PMID: 8610131)
Curr Top Microbiol Immunol. 2016;392:161-79. (PMID: 26210988)
J Hematol Oncol. 2020 Sep 3;13(1):118. (PMID: 32883316)
PLoS Genet. 2021 Jul 6;17(7):e1009526. (PMID: 34228709)
Elife. 2022 Sep 01;11:. (PMID: 36047771)
PLoS Comput Biol. 2023 Jul 10;19(7):e1011289. (PMID: 37428805)
EMBO J. 1993 Apr;12(4):1467-73. (PMID: 8385605)
PLoS Genet. 2011 Oct;7(10):e1002282. (PMID: 22022273)
PLoS One. 2017 Jun 5;12(6):e0178691. (PMID: 28582419)
Virus Res. 2005 Feb;107(2):173-81. (PMID: 15649563)
Semin Cancer Biol. 2010 Oct;20(5):353-9. (PMID: 20934515)
Genetics. 2014 Mar;196(3):677-91. (PMID: 24388879)
Proc Natl Acad Sci U S A. 2009 Oct 6;106(40):17101-4. (PMID: 19805137)
Cancer Res. 2013 Apr 15;73(8):2407-11. (PMID: 23393201)
Science. 2015 Apr 3;348(6230):69-74. (PMID: 25838375)
Cancer Res. 2017 May 1;77(9):2179-2185. (PMID: 28432052)
J Virol. 2006 Jan;80(1):20-6. (PMID: 16352527)
معلومات مُعتمدة: EP/S023291/1 Centre for Doctoral Training in Mathematical Modelling, Analysis and Computation, University of Edinburgh (GB)
تواريخ الأحداث: Date Created: 20240902 Date Completed: 20240902 Latest Revision: 20240905
رمز التحديث: 20240905
مُعرف محوري في PubMed: PMC11369052
DOI: 10.1007/s00285-024-02134-4
PMID: 39222150
قاعدة البيانات: MEDLINE
الوصف
تدمد:1432-1416
DOI:10.1007/s00285-024-02134-4