Equations to describe brain size across the continuum of human lifespan

Equations fitting the normative values for gender-specific brain size changes are available. However, these equations do not fit for all age ranges across the human lifespan and particularly have failed to examine the fit across the continuum of prenatal and postnatal human life. We sought to develop a parametric equation that best describes the changes in gender-specific brain size as a function of age across the continuum of prenatal and postnatal human life. Brain weight and brain volume data retrieved from the literature were combined to perform a meta-analysis. Additions to previously published findings included collecting a dataset that spanned the continuum of human lifespan, logarithmic transformation of the data and utilization of the Birch equation. We used Akaike's Information Criterion (AIC) for quantitative evaluation of the new equations. A total of 2,011 brain weight data points spanning from 10 weeks of fetal gestation to over 90 years of age were retrieved. Using our approach, we developed equations with improved fits and lower or similar AIC values compared to the published equations. The new equations are modifications of the basic Birch model. These equations are the first to describe the gender-specific brain weight changes through the continuum of both prenatal and postnatal human life while achieving a level of accuracy similar to or better than the previous, more age-restricted models. The new equations are improved compared to previously used equations and may be useful to those who study brain development, particularly researchers interested in prenatal and postnatal brain size.