| 000 | 01901nlm1a2200301 4500 | ||
|---|---|---|---|
| 001 | 636576 | ||
| 005 | 20231030040139.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\606 | ||
| 090 | _a636576 | ||
| 100 | _a20140217a1998 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aUS | ||
| 135 | _adrnn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aThe geometry of the Fisher selection dynamics _fA. V. Shapovalov, E. V. Evdokimov |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: 13 tit.] | ||
| 330 | _aWe study the Fisher model describing natural selection in a population with a diploid structure of a genome by differential- geometric methods. For the selection dynamics we introduce an affine connection which is shown to be the projectively Euclidean and the equiaffine one. The selection dynamics is reformulated similar to the motion of an effective particle moving along the geodesic lines in an 'effective external field' of a tensor type. An exact solution is found to the Fisher equations for the special case of fitness matrix associated to the effect of chromosomal imprinting of mammals. Biological sense of the differential- geometric constructions is discussed. The affine curvature is considered as a direct consequence of an allele coupling in the system. This curving of the selection dynamics geometry is related to an inhomogenity of the time flow in the course of the selection | ||
| 463 |
_tArxiv.org _vPhysics _d1998 |
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| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 700 | 1 |
_aShapovalov _bA. V. _cmathematician _cProfessor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1949- _gAleksandr Vasilyevich _2stltpush _3(RuTPU)RU\TPU\pers\31734 |
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| 701 | 1 |
_aEvdokimov _bE. V. |
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| 801 | 2 |
_aRU _b63413507 _c20180306 _gRCR |
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| 856 | 4 | _uhttp://arxiv.org/abs/physics/9805006 | |
| 942 | _cCF | ||