Darwinian Model Building

Journal Article · Mon Mar 14 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3573656· OSTI ID:21506995

Kester, Do ^[1]; Bontekoe, Romke ^[2]

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1. SRON Netherlands Institute for Space Research, Landleven 12, 9747 AD Groningen (Netherlands)
2. Bontekoe Research, Rooseveltstraat 4d, 2321 BM Leiden (Netherlands)

We present a way to generate heuristic mathematical models based on the Darwinian principles of variation and selection in a pool of individuals over many generations. Each individual has a genotype (the hereditary properties) and a phenotype (the expression of these properties in the environment). Variation is achieved by cross-over and mutation operations on the genotype which consists in the present case of a single chromosome. The genotypes 'live' in the environment of the data. Nested Sampling is used to optimize the free parameters of the models given the data, thus giving rise to the phenotypes. Selection is based on the phenotypes.The evidences which naturally follow from the Nested Sampling Algorithm are used in a second level of Nested Sampling to find increasingly better models.The data in this paper originate from the Leiden Cytology and Pathology Laboratory (LCPL), which screens pap smears for cervical cancer. We have data for 1750 women who on average underwent 5 tests each. The data on individual women are treated as a small time series. We will try to estimate the next value of the prime cancer indicator from previous tests of the same woman.

• OSTI ID: 21506995
• Journal Information: AIP Conference Proceedings, Vol. 1305, Issue 1; Conference: 30. international workshop on Bayesian inference and maximum entropy methods in science and engineering, Chamonix (France), 4-9 Jul 2010; Other Information: DOI: 10.1063/1.3573656; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
BIOPHYSICS
CHROMOSOMES
CYTOLOGY
ENVIRONMENT
FORECASTING
GENOTYPE
MUTATIONS
NEOPLASMS
PHENOTYPE
SAMPLING
SCREENS
SIMULATION
STRING MODELS
STRING THEORY
WOMEN
ANIMALS
BIOLOGY
COMPOSITE MODELS
DISEASES
EXTENDED PARTICLE MODEL
FEMALES
MAMMALS
MAN
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
M-THEORY
PARTICLE MODELS
PHYSICS
PRIMATES
QUARK MODEL
VERTEBRATES