Mortality curves using a bit-string aging model

In this work, we studied the shape of mortality curves for a population under different conditions using a bit-string model for biological aging. More specifically, we studied how the model parameters affect the shape of the mortality curves. Although these curves are in reasonable agreement with th...

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Published inPhysica A Vol. 560; p. 125134
Main Authors da Rocha, Arthur M., Espíndola, Aquino L., Penna, T.J.P.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.12.2020
Subjects
Aging
Bit-string model
Gompertz law
Mortality curves
Aging
Gompertz law
Mortality curves
Bit-string model
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Abstract In this work, we studied the shape of mortality curves for a population under different conditions using a bit-string model for biological aging. More specifically, we studied how the model parameters affect the shape of the mortality curves. Although these curves are in reasonable agreement with the Gompertz law for the increase of mortality, for a extended range of ages, other parameters play an important role to determine the overall behavior of the mortality’s curves. •Mutation rate and age of reproduction combined do not change the overall shape of mortality curve.•Model: Gompertz region depends on the mutation rates and active mutation threshold.•Human mortality curves are well fitted for a wide range of ages.•We introduced a segmentation approach to define three different intervals for mortality curves.
AbstractList In this work, we studied the shape of mortality curves for a population under different conditions using a bit-string model for biological aging. More specifically, we studied how the model parameters affect the shape of the mortality curves. Although these curves are in reasonable agreement with the Gompertz law for the increase of mortality, for a extended range of ages, other parameters play an important role to determine the overall behavior of the mortality’s curves. •Mutation rate and age of reproduction combined do not change the overall shape of mortality curve.•Model: Gompertz region depends on the mutation rates and active mutation threshold.•Human mortality curves are well fitted for a wide range of ages.•We introduced a segmentation approach to define three different intervals for mortality curves.
ArticleNumber 125134
Author Espíndola, Aquino L.
da Rocha, Arthur M.
Penna, T.J.P.
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10.1016/j.physa.2015.02.027
10.1093/gerona/57.2.B69
10.1016/S0378-4371(01)00048-6
10.1016/S0140-6736(12)61719-X
10.1016/0047-6374(94)90095-7
10.1016/j.ecolmodel.2008.12.001
10.1103/PhysRevE.72.051925
10.1007/s002570050235
10.1038/srep00504
10.1006/jtbi.2001.2296
10.1016/S0378-4371(97)00185-4
10.1038/275213a0
10.1111/j.1558-5646.1957.tb02911.x
10.1078/1431-7613-00012
10.1016/j.matcom.2009.02.002
10.1016/j.jchemneu.2017.10.001
10.1093/genetics/156.3.927
10.1073/pnas.222326199
10.1016/S0378-4371(97)00648-1
10.1111/acel.12480
10.1038/nrg753
10.1103/PhysRevE.69.041907
10.1111/j.1558-5646.1993.tb01241.x
10.1098/rspb.1996.0211
10.1016/j.cois.2016.05.012
10.1038/270301a0
10.1142/S0219525905000294
10.1007/BF02180147
10.1007/s10144-018-0609-6
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Gompertz law
Mortality curves
Bit-string model
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References (b38) 2002
Gompertz (b44) 1825; 115
Abrams (b10) 1993; 47
Williams (b45) 1957; 11
Wang, Dwyer-Lindgren, Lofgren, Rajaratnam, Marcus, Levin-Rector, Levitz, Lopez, Murray (b14) 2012; 380
Halupnik (b1) 2008
Ricklefs, Scheuerlein (b12) 2002; 57
de Souza, Martins, Zacarias (b36) 2009; 220
Partridge, Gems (b23) 2002; 3
Stauffer (b35) 2009; 1
Kirkwood (b3) 1977; 270
Gladyshev (b7) 2016; 15
Łaszkiewicz, Cebrat, Stauffer (b42) 2005; 08
Coe, Mao (b30) 2004; 69
Kramer, van Doorn, Weissing, Pen (b2) 2016; 16
Tai, Noymer (b13) 2018; 60
Penna (b26) 1995; 78
Coe, Mao (b31) 2005; 72
Charlesworth (b9) 2001; 210
Stauffer, de Oliveira, de Oliveira, Martins (b41) 2006
Max Roser, Ritchie (b15) 2020
Penna, Racco, Sousa (b32) 2001; 295
Wilson (b11) 1994; 74
Hughes, Alipaz, Drnevich, Reynolds (b24) 2002; 99
Rodrigues, Espíndola, Penna (b33) 2015; 428
Demetrius (b37) 1978; 275
Weon, Je (b19) 2012; 2
Medawar (b22) 1952
(b39) 1997
Rose (b18) 1994
Williams (b21) 1957
de Toledo Piza (b28) 1997; 242
Darwin (b6) 1859
de Almeida, de Oliveira, Penna (b29) 1998; 253
Hadem, Majaw, Kharbuli, Sharma (b4) 2019; 95
Sun, Youle, Finkel (b8) 2016; 16
Charlesworth (b20) 2000; 156
.
Jodrá (b25) 2009; 79
Penna, Stauffer (b27) 1997; 101
Racco, Argollo, Penna (b34) 1997; 117
Wachter, Finch (b17) 1997
Gavrilov, Gavrilova (b40) 1991
Azbel (b16) 1996; 263
Charlesworth (b5) 1994
J.S.S. Martins, S. Cebrat, Random deaths in a computational model for age-structured populations, Theory Biosci. 119 (2) (204) 156.
Coe (10.1016/j.physa.2020.125134_b30) 2004; 69
Kramer (10.1016/j.physa.2020.125134_b2) 2016; 16
Medawar (10.1016/j.physa.2020.125134_b22) 1952
Penna (10.1016/j.physa.2020.125134_b26) 1995; 78
Kirkwood (10.1016/j.physa.2020.125134_b3) 1977; 270
de Souza (10.1016/j.physa.2020.125134_b36) 2009; 220
Rose (10.1016/j.physa.2020.125134_b18) 1994
Penna (10.1016/j.physa.2020.125134_b32) 2001; 295
(10.1016/j.physa.2020.125134_b39) 1997
Tai (10.1016/j.physa.2020.125134_b13) 2018; 60
de Toledo Piza (10.1016/j.physa.2020.125134_b28) 1997; 242
Łaszkiewicz (10.1016/j.physa.2020.125134_b42) 2005; 08
Hadem (10.1016/j.physa.2020.125134_b4) 2019; 95
Sun (10.1016/j.physa.2020.125134_b8) 2016; 16
Wang (10.1016/j.physa.2020.125134_b14) 2012; 380
Partridge (10.1016/j.physa.2020.125134_b23) 2002; 3
Halupnik (10.1016/j.physa.2020.125134_b1) 2008
Wilson (10.1016/j.physa.2020.125134_b11) 1994; 74
Stauffer (10.1016/j.physa.2020.125134_b35) 2009; 1
Williams (10.1016/j.physa.2020.125134_b21) 1957
Stauffer (10.1016/j.physa.2020.125134_b41) 2006
Ricklefs (10.1016/j.physa.2020.125134_b12) 2002; 57
Max Roser (10.1016/j.physa.2020.125134_b15) 2020
Azbel (10.1016/j.physa.2020.125134_b16) 1996; 263
Gompertz (10.1016/j.physa.2020.125134_b44) 1825; 115
Penna (10.1016/j.physa.2020.125134_b27) 1997; 101
Racco (10.1016/j.physa.2020.125134_b34) 1997; 117
Demetrius (10.1016/j.physa.2020.125134_b37) 1978; 275
(10.1016/j.physa.2020.125134_b38) 2002
Coe (10.1016/j.physa.2020.125134_b31) 2005; 72
Jodrá (10.1016/j.physa.2020.125134_b25) 2009; 79
Rodrigues (10.1016/j.physa.2020.125134_b33) 2015; 428
Williams (10.1016/j.physa.2020.125134_b45) 1957; 11
de Almeida (10.1016/j.physa.2020.125134_b29) 1998; 253
Weon (10.1016/j.physa.2020.125134_b19) 2012; 2
Hughes (10.1016/j.physa.2020.125134_b24) 2002; 99
Wachter (10.1016/j.physa.2020.125134_b17) 1997
Charlesworth (10.1016/j.physa.2020.125134_b20) 2000; 156
Charlesworth (10.1016/j.physa.2020.125134_b5) 1994
Darwin (10.1016/j.physa.2020.125134_b6) 1859
Gladyshev (10.1016/j.physa.2020.125134_b7) 2016; 15
Gavrilov (10.1016/j.physa.2020.125134_b40) 1991
Charlesworth (10.1016/j.physa.2020.125134_b9) 2001; 210
Abrams (10.1016/j.physa.2020.125134_b10) 1993; 47
10.1016/j.physa.2020.125134_b43
References_xml – year: 2008
  ident: b1
  article-title: An Analyses of Traiched Length versus Age in a 4842-Year-Old Bristlecone Pine (Pinus Longaeva D.K. Bailey)
  contributor:
    fullname: Halupnik
– year: 2020
  ident: b15
  article-title: Life expectancy
  publication-title: Our World in Data
  contributor:
    fullname: Ritchie
– volume: 72
  year: 2005
  ident: b31
  article-title: Gompertz mortality law and scaling behavior of the Penna model
  publication-title: Phys. Rev. E
  contributor:
    fullname: Mao
– year: 1994
  ident: b5
  article-title: Evolution in Age-Structured Populations, Vol. 2
  contributor:
    fullname: Charlesworth
– volume: 74
  start-page: 15
  year: 1994
  end-page: 33
  ident: b11
  article-title: The analysis of survival (mortality) data: Fitting Gompertz, Weibull, and logistic functions
  publication-title: Mech. Ageing Dev.
  contributor:
    fullname: Wilson
– year: 1997
  ident: b17
  article-title: Between Zeus and the Salmon: The Biodemography of Longevity
  contributor:
    fullname: Finch
– volume: 95
  start-page: 123
  year: 2019
  end-page: 133
  ident: b4
  article-title: Beneficial effects of dietary restriction in aging brain
  publication-title: J. Chem. Neuroanat.
  contributor:
    fullname: Sharma
– volume: 69
  year: 2004
  ident: b30
  article-title: Population dynamics in the Penna model
  publication-title: Phys. Rev. E
  contributor:
    fullname: Mao
– volume: 270
  start-page: 301
  year: 1977
  end-page: 304
  ident: b3
  article-title: Evolution of ageing
  publication-title: Nature
  contributor:
    fullname: Kirkwood
– volume: 57
  start-page: B69
  year: 2002
  end-page: B76
  ident: b12
  article-title: Biological implications of the Weibull and Gompertz models of aging
  publication-title: J. Gerontol.: Ser. A
  contributor:
    fullname: Scheuerlein
– volume: 220
  start-page: 756
  year: 2009
  end-page: 763
  ident: b36
  article-title: Computer simulation applied to the biological control of the insect Aphis gossypii for the parasitoid Lysiphlebus testaceipes
  publication-title: Ecol. Model.
  contributor:
    fullname: Zacarias
– volume: 99
  start-page: 14286
  year: 2002
  end-page: 14291
  ident: b24
  article-title: A test of evolutionary theories of aging
  publication-title: Proc. Natl. Acad. Sci.
  contributor:
    fullname: Reynolds
– volume: 11
  start-page: 398
  year: 1957
  end-page: 411
  ident: b45
  article-title: Pleiotropy, natural selection, and the evolution of senescence
  publication-title: Evolution
  contributor:
    fullname: Williams
– year: 1994
  ident: b18
  article-title: Evolutionary Biology of Aging
  contributor:
    fullname: Rose
– volume: 79
  start-page: 3069
  year: 2009
  end-page: 3075
  ident: b25
  article-title: A closed-form expression for the quantile function of the Gompertz–Makeham distribution
  publication-title: Math. Comput. Simulation
  contributor:
    fullname: Jodrá
– volume: 78
  start-page: 1629
  year: 1995
  end-page: 1633
  ident: b26
  article-title: A bit-string model for biological aging
  publication-title: J. Stat. Phys.
  contributor:
    fullname: Penna
– volume: 428
  start-page: 52
  year: 2015
  end-page: 59
  ident: b33
  article-title: An agent-based computational model for tuberculosis spreading on age-structured populations
  publication-title: Physica A
  contributor:
    fullname: Penna
– volume: 3
  start-page: 165
  year: 2002
  end-page: 175
  ident: b23
  article-title: Mechanisms of aging: Public or private?
  publication-title: Nature Rev. Genet.
  contributor:
    fullname: Gems
– volume: 101
  start-page: 469
  year: 1997
  end-page: 470
  ident: b27
  article-title: Bit-string ageing model and German population
  publication-title: Z. Phys. B
  contributor:
    fullname: Stauffer
– start-page: 4 v. ;
  year: 2002
  ident: b38
  publication-title: Encyclopedia of Aging
– year: 2006
  ident: b41
  article-title: Biology, Sociology, Geology by Computational Physicists
  contributor:
    fullname: Martins
– volume: 275
  start-page: 213
  year: 1978
  end-page: 214
  ident: b37
  article-title: Adaptive value, entropy and survivorship curves
  publication-title: Nature
  contributor:
    fullname: Demetrius
– start-page: 398
  year: 1957
  end-page: 411
  ident: b21
  article-title: Pleiotropy, natural selection, and the evolution of senescence
  publication-title: evolution
  contributor:
    fullname: Williams
– volume: 16
  start-page: 654
  year: 2016
  end-page: 666
  ident: b8
  article-title: The mitochondrial basis of aging
  publication-title: Mol. Cell
  contributor:
    fullname: Finkel
– volume: 16
  start-page: 76
  year: 2016
  end-page: 80
  ident: b2
  article-title: Lifespan divergence between social insect castes: Challenges and opportunities for evolutionary theories of aging
  publication-title: Curr. Opin. Insect Sci.
  contributor:
    fullname: Pen
– volume: 156
  start-page: 927
  year: 2000
  end-page: 931
  ident: b20
  article-title: Fisher, Medawar, Hamilton and the evolution of aging
  publication-title: Genetics
  contributor:
    fullname: Charlesworth
– year: 1859
  ident: b6
  article-title: On the Origin of Species by Means of Natural Selection
  contributor:
    fullname: Darwin
– volume: 210
  start-page: 47
  year: 2001
  end-page: 65
  ident: b9
  article-title: Patterns of age-specific means and genetic variances of mortality rates predicted by the mutation-accumulation theory of ageing
  publication-title: J. Theoret. Biol.
  contributor:
    fullname: Charlesworth
– volume: 253
  start-page: 366
  year: 1998
  end-page: 378
  ident: b29
  article-title: Theoretical approach to biological aging
  publication-title: Physica A
  contributor:
    fullname: Penna
– year: 1991
  ident: b40
  article-title: The Biology of Life Span: A Quantitative Approach
  contributor:
    fullname: Gavrilova
– volume: 47
  start-page: 877
  year: 1993
  end-page: 887
  ident: b10
  article-title: Does increased mortality favor the evolution of more rapid senescence?
  publication-title: Evolution
  contributor:
    fullname: Abrams
– volume: 295
  start-page: 31
  year: 2001
  end-page: 37
  ident: b32
  article-title: Can microscopic models for age-structured populations contribute to ecology?
  publication-title: Physica A
  contributor:
    fullname: Sousa
– year: 1952
  ident: b22
  article-title: An Unsolved Problem in Biology
  contributor:
    fullname: Medawar
– volume: 263
  start-page: 1449
  year: 1996
  end-page: 1454
  ident: b16
  article-title: Unitary mortality law and species-specific age
  publication-title: Proc. Biol. Sci. / R. Soc.
  contributor:
    fullname: Azbel
– volume: 2
  start-page: 504
  year: 2012
  ident: b19
  article-title: Trends in scale and shape of survival curves
  publication-title: Sci. Rep.
  contributor:
    fullname: Je
– volume: 1
  start-page: 91
  year: 2009
  end-page: -100
  ident: b35
  article-title: The Penna model of biological aging
  publication-title: Bioinform. Biol. Insights
  contributor:
    fullname: Stauffer
– volume: 380
  start-page: 2071
  year: 2012
  end-page: 2094
  ident: b14
  article-title: Age-specific and sex-specific mortality in 187 countries, 1970-2010: A systematic analysis for the global burden of disease study 2010
  publication-title: Lancet
  contributor:
    fullname: Murray
– volume: 242
  start-page: 195
  year: 1997
  end-page: 218
  ident: b28
  article-title: Dynamics of the bit-string modelof age structured populations
  publication-title: Physica A
  contributor:
    fullname: de Toledo Piza
– volume: 08
  start-page: 7
  year: 2005
  end-page: 14
  ident: b42
  article-title: Scaling effects in the Penna Ageing Model
  publication-title: Adv. Complex Syst.
  contributor:
    fullname: Stauffer
– volume: 115
  start-page: 513
  year: 1825
  end-page: 583
  ident: b44
  article-title: On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies
  publication-title: Phil. Trans. Ser. I
  contributor:
    fullname: Gompertz
– volume: 60
  start-page: 171
  year: 2018
  end-page: 184
  ident: b13
  article-title: Models for estimating empirical Gompertz mortality: With an application to evolution of the Gompertzian slope
  publication-title: Popul. Ecol.
  contributor:
    fullname: Noymer
– year: 1997
  ident: b39
  publication-title: Between Zeus and the Salmon: The Biodemography of Longevity
– volume: 15
  start-page: 594
  year: 2016
  end-page: 602
  ident: b7
  article-title: Aging: Progressive decline in fitness due to the rising deleteriome adjusted by genetic, environmental, and stochastic processes
  publication-title: Aging Cell
  contributor:
    fullname: Gladyshev
– volume: 117
  year: 1997
  ident: b34
  article-title: Search for an unitary mortality law through a theoretical model for biological ageing
  publication-title: Theory Biosci.
  contributor:
    fullname: Penna
– volume: 16
  start-page: 654
  issue: 5
  year: 2016
  ident: 10.1016/j.physa.2020.125134_b8
  article-title: The mitochondrial basis of aging
  publication-title: Mol. Cell
  doi: 10.1016/j.molcel.2016.01.028
  contributor:
    fullname: Sun
– volume: 117
  year: 1997
  ident: 10.1016/j.physa.2020.125134_b34
  article-title: Search for an unitary mortality law through a theoretical model for biological ageing
  publication-title: Theory Biosci.
  contributor:
    fullname: Racco
– volume: 428
  start-page: 52
  year: 2015
  ident: 10.1016/j.physa.2020.125134_b33
  article-title: An agent-based computational model for tuberculosis spreading on age-structured populations
  publication-title: Physica A
  doi: 10.1016/j.physa.2015.02.027
  contributor:
    fullname: Rodrigues
– year: 2006
  ident: 10.1016/j.physa.2020.125134_b41
  contributor:
    fullname: Stauffer
– volume: 57
  start-page: B69
  issue: 2
  year: 2002
  ident: 10.1016/j.physa.2020.125134_b12
  article-title: Biological implications of the Weibull and Gompertz models of aging
  publication-title: J. Gerontol.: Ser. A
  doi: 10.1093/gerona/57.2.B69
  contributor:
    fullname: Ricklefs
– volume: 295
  start-page: 31
  issue: 1–2
  year: 2001
  ident: 10.1016/j.physa.2020.125134_b32
  article-title: Can microscopic models for age-structured populations contribute to ecology?
  publication-title: Physica A
  doi: 10.1016/S0378-4371(01)00048-6
  contributor:
    fullname: Penna
– year: 2008
  ident: 10.1016/j.physa.2020.125134_b1
  contributor:
    fullname: Halupnik
– volume: 380
  start-page: 2071
  issue: 9859
  year: 2012
  ident: 10.1016/j.physa.2020.125134_b14
  article-title: Age-specific and sex-specific mortality in 187 countries, 1970-2010: A systematic analysis for the global burden of disease study 2010
  publication-title: Lancet
  doi: 10.1016/S0140-6736(12)61719-X
  contributor:
    fullname: Wang
– start-page: 4 v. ;
  year: 2002
  ident: 10.1016/j.physa.2020.125134_b38
– volume: 74
  start-page: 15
  year: 1994
  ident: 10.1016/j.physa.2020.125134_b11
  article-title: The analysis of survival (mortality) data: Fitting Gompertz, Weibull, and logistic functions
  publication-title: Mech. Ageing Dev.
  doi: 10.1016/0047-6374(94)90095-7
  contributor:
    fullname: Wilson
– volume: 220
  start-page: 756
  issue: 6
  year: 2009
  ident: 10.1016/j.physa.2020.125134_b36
  article-title: Computer simulation applied to the biological control of the insect Aphis gossypii for the parasitoid Lysiphlebus testaceipes
  publication-title: Ecol. Model.
  doi: 10.1016/j.ecolmodel.2008.12.001
  contributor:
    fullname: de Souza
– year: 1997
  ident: 10.1016/j.physa.2020.125134_b39
– volume: 72
  year: 2005
  ident: 10.1016/j.physa.2020.125134_b31
  article-title: Gompertz mortality law and scaling behavior of the Penna model
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.72.051925
  contributor:
    fullname: Coe
– year: 1994
  ident: 10.1016/j.physa.2020.125134_b5
  contributor:
    fullname: Charlesworth
– volume: 101
  start-page: 469
  issue: 3
  year: 1997
  ident: 10.1016/j.physa.2020.125134_b27
  article-title: Bit-string ageing model and German population
  publication-title: Z. Phys. B
  doi: 10.1007/s002570050235
  contributor:
    fullname: Penna
– year: 1859
  ident: 10.1016/j.physa.2020.125134_b6
  contributor:
    fullname: Darwin
– year: 1994
  ident: 10.1016/j.physa.2020.125134_b18
  contributor:
    fullname: Rose
– volume: 2
  start-page: 504
  issue: 1
  year: 2012
  ident: 10.1016/j.physa.2020.125134_b19
  article-title: Trends in scale and shape of survival curves
  publication-title: Sci. Rep.
  doi: 10.1038/srep00504
  contributor:
    fullname: Weon
– volume: 210
  start-page: 47
  issue: 1
  year: 2001
  ident: 10.1016/j.physa.2020.125134_b9
  article-title: Patterns of age-specific means and genetic variances of mortality rates predicted by the mutation-accumulation theory of ageing
  publication-title: J. Theoret. Biol.
  doi: 10.1006/jtbi.2001.2296
  contributor:
    fullname: Charlesworth
– volume: 242
  start-page: 195
  year: 1997
  ident: 10.1016/j.physa.2020.125134_b28
  article-title: Dynamics of the bit-string modelof age structured populations
  publication-title: Physica A
  doi: 10.1016/S0378-4371(97)00185-4
  contributor:
    fullname: de Toledo Piza
– volume: 275
  start-page: 213
  issue: 5677
  year: 1978
  ident: 10.1016/j.physa.2020.125134_b37
  article-title: Adaptive value, entropy and survivorship curves
  publication-title: Nature
  doi: 10.1038/275213a0
  contributor:
    fullname: Demetrius
– volume: 11
  start-page: 398
  issue: 4
  year: 1957
  ident: 10.1016/j.physa.2020.125134_b45
  article-title: Pleiotropy, natural selection, and the evolution of senescence
  publication-title: Evolution
  doi: 10.1111/j.1558-5646.1957.tb02911.x
  contributor:
    fullname: Williams
– year: 1997
  ident: 10.1016/j.physa.2020.125134_b17
  contributor:
    fullname: Wachter
– year: 2020
  ident: 10.1016/j.physa.2020.125134_b15
  article-title: Life expectancy
  contributor:
    fullname: Max Roser
– ident: 10.1016/j.physa.2020.125134_b43
  doi: 10.1078/1431-7613-00012
– volume: 79
  start-page: 3069
  issue: 10
  year: 2009
  ident: 10.1016/j.physa.2020.125134_b25
  article-title: A closed-form expression for the quantile function of the Gompertz–Makeham distribution
  publication-title: Math. Comput. Simulation
  doi: 10.1016/j.matcom.2009.02.002
  contributor:
    fullname: Jodrá
– volume: 115
  start-page: 513
  year: 1825
  ident: 10.1016/j.physa.2020.125134_b44
  article-title: On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies
  publication-title: Phil. Trans. Ser. I
  contributor:
    fullname: Gompertz
– volume: 95
  start-page: 123
  year: 2019
  ident: 10.1016/j.physa.2020.125134_b4
  article-title: Beneficial effects of dietary restriction in aging brain
  publication-title: J. Chem. Neuroanat.
  doi: 10.1016/j.jchemneu.2017.10.001
  contributor:
    fullname: Hadem
– volume: 156
  start-page: 927
  issue: 3
  year: 2000
  ident: 10.1016/j.physa.2020.125134_b20
  article-title: Fisher, Medawar, Hamilton and the evolution of aging
  publication-title: Genetics
  doi: 10.1093/genetics/156.3.927
  contributor:
    fullname: Charlesworth
– start-page: 398
  year: 1957
  ident: 10.1016/j.physa.2020.125134_b21
  article-title: Pleiotropy, natural selection, and the evolution of senescence
  publication-title: evolution
  doi: 10.1111/j.1558-5646.1957.tb02911.x
  contributor:
    fullname: Williams
– volume: 99
  start-page: 14286
  issue: 22
  year: 2002
  ident: 10.1016/j.physa.2020.125134_b24
  article-title: A test of evolutionary theories of aging
  publication-title: Proc. Natl. Acad. Sci.
  doi: 10.1073/pnas.222326199
  contributor:
    fullname: Hughes
– volume: 253
  start-page: 366
  year: 1998
  ident: 10.1016/j.physa.2020.125134_b29
  article-title: Theoretical approach to biological aging
  publication-title: Physica A
  doi: 10.1016/S0378-4371(97)00648-1
  contributor:
    fullname: de Almeida
– volume: 15
  start-page: 594
  issue: 4
  year: 2016
  ident: 10.1016/j.physa.2020.125134_b7
  article-title: Aging: Progressive decline in fitness due to the rising deleteriome adjusted by genetic, environmental, and stochastic processes
  publication-title: Aging Cell
  doi: 10.1111/acel.12480
  contributor:
    fullname: Gladyshev
– volume: 3
  start-page: 165
  issue: 3
  year: 2002
  ident: 10.1016/j.physa.2020.125134_b23
  article-title: Mechanisms of aging: Public or private?
  publication-title: Nature Rev. Genet.
  doi: 10.1038/nrg753
  contributor:
    fullname: Partridge
– volume: 69
  year: 2004
  ident: 10.1016/j.physa.2020.125134_b30
  article-title: Population dynamics in the Penna model
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.69.041907
  contributor:
    fullname: Coe
– volume: 47
  start-page: 877
  year: 1993
  ident: 10.1016/j.physa.2020.125134_b10
  article-title: Does increased mortality favor the evolution of more rapid senescence?
  publication-title: Evolution
  doi: 10.1111/j.1558-5646.1993.tb01241.x
  contributor:
    fullname: Abrams
– year: 1952
  ident: 10.1016/j.physa.2020.125134_b22
  contributor:
    fullname: Medawar
– year: 1991
  ident: 10.1016/j.physa.2020.125134_b40
  contributor:
    fullname: Gavrilov
– volume: 263
  start-page: 1449
  year: 1996
  ident: 10.1016/j.physa.2020.125134_b16
  article-title: Unitary mortality law and species-specific age
  publication-title: Proc. Biol. Sci. / R. Soc.
  doi: 10.1098/rspb.1996.0211
  contributor:
    fullname: Azbel
– volume: 16
  start-page: 76
  year: 2016
  ident: 10.1016/j.physa.2020.125134_b2
  article-title: Lifespan divergence between social insect castes: Challenges and opportunities for evolutionary theories of aging
  publication-title: Curr. Opin. Insect Sci.
  doi: 10.1016/j.cois.2016.05.012
  contributor:
    fullname: Kramer
– volume: 270
  start-page: 301
  issue: 5635
  year: 1977
  ident: 10.1016/j.physa.2020.125134_b3
  article-title: Evolution of ageing
  publication-title: Nature
  doi: 10.1038/270301a0
  contributor:
    fullname: Kirkwood
– volume: 08
  start-page: 7
  issue: 01
  year: 2005
  ident: 10.1016/j.physa.2020.125134_b42
  article-title: Scaling effects in the Penna Ageing Model
  publication-title: Adv. Complex Syst.
  doi: 10.1142/S0219525905000294
  contributor:
    fullname: Łaszkiewicz
– volume: 78
  start-page: 1629
  year: 1995
  ident: 10.1016/j.physa.2020.125134_b26
  article-title: A bit-string model for biological aging
  publication-title: J. Stat. Phys.
  doi: 10.1007/BF02180147
  contributor:
    fullname: Penna
– volume: 60
  start-page: 171
  issue: 1–2
  year: 2018
  ident: 10.1016/j.physa.2020.125134_b13
  article-title: Models for estimating empirical Gompertz mortality: With an application to evolution of the Gompertzian slope
  publication-title: Popul. Ecol.
  doi: 10.1007/s10144-018-0609-6
  contributor:
    fullname: Tai
– volume: 1
  start-page: 91
  year: 2009
  ident: 10.1016/j.physa.2020.125134_b35
  article-title: The Penna model of biological aging
  publication-title: Bioinform. Biol. Insights
  contributor:
    fullname: Stauffer
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Snippet In this work, we studied the shape of mortality curves for a population under different conditions using a bit-string model for biological aging. More...
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StartPage 125134
SubjectTerms Aging
Bit-string model
Gompertz law
Mortality curves
Title Mortality curves using a bit-string aging model
URI https://dx.doi.org/10.1016/j.physa.2020.125134
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