By Richard F. Burton
A realistic undergraduate textbook for maths-shy biology scholars exhibiting how easy maths finds vital insights.
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Additional resources for Biology by Numbers: An Encouragement to Quantitative Thinking
A comprehensive illustration of the (present) problem has been provided by Mokiem et al. (2007a, their Fig. e, evolutionary status. This figure clearly shows no indication of any discrepancy for all supergiants and bright giants, independent of their Helium enrichment. Insofar, the improvements in atmospheric modeling, evolutionary calculations and spectral analysis techniques seem to have been successful, and the authors argue that the evolution of class I-II objects appears to be “well understood”.
An important question concerns the present status of the so-called “mass-discrepancy”. Herrero et al. (1992) noted a large discrepancy between masses of evolved (Galactic) Ostars derived either spectroscopically (via log g) or via evolutionary calculations, where the latter method resulted in systematically higher values, by roughly a factor of two. Since the spectroscopic analyses had been performed using plane-parallel, unblanketed H/He model-atmospheres (standard at that time), the question arises whether the discrepancy would still be present when the objects were analyzed with more “modern” tools.
2004). 2. Effective temperatures of Galactic OB-stars Since 2002, some 20 spectroscopic analyses of Galactic OB stars (excluding Galactic Centre objects, see Martins et al. this volume) of various luminosity classes have been Table 1. Basic features and domains of applications of present state-of-the-art, NLTE, line-blanketed model atmosphere codes. Responsible authors in brackets. detail/surf. -parallel blanketing LTE yes yes yes line transfer observer’s frame observer’s frame comoving Sobolev frame (CMF) approx.
Biology by Numbers: An Encouragement to Quantitative Thinking by Richard F. Burton