SACEMA, (DST/NRF Centre of Excellence, in Epidemiological Modelling and Analysis), 19 Jonkershoek Road, Stellenbosch 7600, South Africa.
Math Biosci Eng. 2013 Jun;10(3):691-704. doi: 10.3934/mbe.2013.10.691.
In biomathematics, communication between mathematicians and biologists is crucial. This matter is illustrated using studies aimed at estimating mortality rates of tsetse flies (Glossina spp.). Examples are provided of apparently sound pieces of mathematics which, when applied to real data, provide obviously erroneous results. More serious objections arise when mathematical models make no attempt to address the real world in such a way that they can be tested. Unless models account for the known biology of the problem under investigation, and are challenged with data, the existence and nature of imperfections in the models will likely not be detected.
在生物数学中,数学家和生物学家之间的交流至关重要。这一点可以通过研究估算采采蝇( Glossina spp. )死亡率的例子来说明。提供了一些看似合理的数学例子,这些例子在应用于实际数据时,却得出了明显错误的结果。当数学模型不试图以可以检验的方式来反映真实世界时,就会产生更严重的反对意见。除非模型能够解释所研究问题的已知生物学特性,并接受数据的检验,否则模型中存在的缺陷及其性质很可能不会被发现。