title: Non-exponential growth by mammalian cells in culture.
abstract: The concept of exponential growth by mammalian cells in culture is based upon the apparent linearity of semilogarithmic data plots. This method of graphical analysis is known to be an unreliable test of the exponential hypothesis. We have re-examined the question of growth exponentiality using the more sensitive method of Smith plots, in which specific growth rate is plotted against either time or density on transformed graphical coordinates which linearize the mathematical expression of the growth hypothesis being tested. With exponential growth, data points fall on a horizontal straight line when specific growth rate is plotted against time or density. Using both our own and literature data, we have performed Smith plot analyses on the growth of 125 different mammalian and avian cell lines. Of these, only eleven exhibited an exponential phase. The remaining cell lines all had non-exponential growth patterns. The most common of these consisted of an initial period of growth acceleration followed by a later phase of deceleratory growth. A smaller number of lines exhibited deceleratory kinetics at all times after plating. We conclude that mammalian cell growth in culture is predominantly non-exponential, and that the apparent exponentiality of semilogarithmic data plots is usually a methodological artifact.
mesh_terms: D000818:Animals; D002455:Cell Division; D002460:Cell Line; D002478:Cells, Cultured / Q000166:cytology*; D002822:Choriocarcinoma; D006224:Cricetinae; D004285:Dogs; D005260:Female; D005347:Fibroblasts; D005910:Glioma; D006801:Humans; D007668:Kidney; D007700:Kinetics; D008297:Male; D008433:Mathematics; D051379:Mice; D010053:Ovary; D011247:Pregnancy; D051381:Rats; D012510:Sarcoma 180; D014594:Uterine Neoplasms