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Am J Physiol Regul Integr Comp Physiol 292: R2113-R2114, 2007. First published March 22, 2007; doi:10.1152/ajpregu.00102.2007
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EDITORIAL FOCUS

APPETITE, OBESITY, DIGESTION, AND METABOLISM

Convergence of metabolic rate of cultured cells from animals of different sizes

Denys N. Wheatley

BioMedES, Leggat House, Keithhall, nverurie, Aberdeen, UK

CULTURED FIBROBLASTS OF CELL lines from animals of different size have similar activities for a range of different enzymes and metabolic rates that converge on the similar values despite the metabolic rates of the animals of different sizes having quite distinctly different basal metabolic rates (BMRs). In discussing this "normalization," the data support experimentally a previous hypothesis based on circumstantial evidence. However, the experimental plan and the cell type chosen for analysis do not provide the best evidence to confirm this hypothesis.

In mammals (homeotherms), it is thought that a general allometric relationship exists between metabolic rate and body mass. While this is not usually disputed as a rule of thumb, some groups have argued persistently that the relationship is more precise than others would maintain. The formula proposed is that BMR is proportional to M3/4 (14). It would be surprising to find these formulae applied across the board in mammals, and equally surprising of West and Brown (13) to consider that many deviations would not undermine this relationship. Where exceptions are numerous, any hypothesis is inevitably weakened. Unless one can explain exceptions to the alleged "norm," the general relationship cannot be regarded as a "mathematical law" of which, incidentally, there are none in biology. The problem of the range within any species also needs to be mentioned (8).

Proposed Basis of the Relationship Between Body Mass and Metabolic Rate

Small mammals have high mass-specific BMRs, whereas large mammals have much lower BMRs. Although measurement of BMR is not straightforward, this general rule has been known for decades. Small mammals lose heat rapidly because their surface area-to-body mass ratio is high, whereas it decreases in large animals as mass increases. This gives a 2/3 rather than a 3/4 power law, and does not take into account that some animals might be better insulated than others (e.g., the arctic fox). Thus, the BMR of a man will vary depending on whether he is clothed or naked. Since we are talking about whole organisms (typically mammals), it is reasonable to assume that the heat produced by metabolic activity will be the normalized sum of that produced by the cells from every organ and tissue of the body (10, 12), e.g., liver cells have much higher metabolic throughputs than connective tissue. West et al. (14), however, attribute the allegedly universal 3/4 power scaling not to the different contributions of different organs nor to the surface-to-volume ratios in animals of different body mass, but to the fractal geometry of resource supply networks, which they consider to be a biologically universal.

What Sets the Metabolic Rates in Different Tissue and Different Species?

In this issue of American Journal of Physiology-Regulatory, Integrative and Comparative Physiology, Brown et al. (2) proclaim in the title that "Metabolic rate does not scale with body mass in cultured mammalian cells," which will in literal terms not be self-evident to general readers. But the underlying question in it is: What sets the metabolic rates in different tissues and animals? The premise underlying much of the discussion of this problem is that some intrinsic regulatory mechanism is involved. Any such regulatory mechanism would have to operate down to the cellular and molecular levels; but what sort of control could possibly regulate general metabolic activity? No one has a compelling answer (1).

Role of the Mitochondrion

The organelle that clearly demands attention is the mitochondrion. In general, heat production by a homeotherm maintains the body temperature at ~37°C, although a lot may be insensibly lost. When extra heat is required, mitochondria can become increasingly uncoupled. Porter and Brand (11) showed that freshly-isolated mitochondria from horse liver metabolize 10 times slower than from mice liver, and on three accounts they explained why this was so. Their findings corroborate the work of Krebs (9), who found significant differences in the metabolic activity of freshly isolated liver slices from animals of considerably different masses, supporting the notion of intrinsic differences among cells (tissues) from different species. Different enzyme affinities, different membrane transporter densities, levels of cofactors, etc., will all contribute to these "intrinsic differences."

Metabolic Activity in Cultured Cells

Returning to cells placed in culture, one might expect that these differences would level out in time in a standardized medium, and therefore cells from different species would converge toward similar metabolic activities. This argument was promulgated by Wheatley and Clegg (16), backed up by evidence presented in Clegg and Wheatley (3), and supporting Coulson's (5) beautifully clear exposition on the importance of delivery rates of metabolites in animals of different sizes. Coulson (4) made another simple point, that once a substrate has entered the cell, the intracellular enzymes have little choice but to act on it. If we knew more about the delivery rates of substrates to cells in situ in different-sized animals, we may well find a scaling formula that is much more relevant and reasonable. In principle, this affords some justification for the "resource supply network" approach taken by West et al. (15).

An Experimental Attempt to Prove the Hypothesis

In Brown et al. (2), the crucial issue was to carry out experiments that establish whether or not a scaling factor is retained in recently isolated homologous cells (cell "lines") from small and large animals. Unfortunately, Brown's group did not use primary cultures. Even if they had, it would have taken quite a number of generations to obtain sufficient cells for their analyses. The choice of fibroblasts was also unfortunate because dermal fibroblasts in vivo are quite inactive, with very low metabolic activity. Their activity will rise in culture, so cells from different species might all have risen to similar levels simply by placing them in the same rich medium (as expected on Coulson's principle). Relevant details are also missing on the American Type Culture Collection (Manassas, VA)-acquired "cell lines", and we are not told much about how long the cultures were incubated before being analyzed. However, the fact that the enzymes chosen for study all had similar activities suggests the normalization of activity would not be unexpected.

In conclusion, the outcome of the study is nevertheless incontrovertible, that any scaling that might have existed in vivo from different species is lost when the cells are cultured, as already predicted (2, 16). Examination of metabolic changes during culturing of cells that become normalized is now a crucial requirement, and the obverse experiment (setting out cells of high activity in vivo in culture) would be more relevant.

An Alternative Hypothesis

Whereas the West et al. (14) model predicts that (metabolically active) cells will lose their in situ scaling characteristics when they are grown in culture, the quantum metabolism theory of Demetrius (6, 7) predicts the opposite. Quantum metabolism attempts to infer whole organism metabolic rates from the metabolic activities of component cells. Based on chemiosmotic energy transduction, a concept of energy storage in membrane biomolecules and the perception that these energy storage levels are in principle quantized, the argument for the theory is developed using the same mathematical formalism as the quantum theory of solids. This theory makes a number of predictions that are critically testable by experiment, of which the retention of scaling by appropriately cultured cells is one. It is therefore particularly unfortunate that the experiments of Brown et al. (2) were conducted in a manner that failed to provide either compelling corroboration or refutation of either the West et al. or the Demetrius model. The fact that (at least) two alternative accounts of allometric scaling give opposite predictions in respect of such experiments makes the need for an examination of cultured cells from metabolically active tissues even more crucial.

ACKNOWLEDGMENTS

I thank my colleague Dr. Paul Agutter for his comments on this review.

FOOTNOTES


Address for reprint requests and other correspondence: D. Wheatley, BioMedES, Leggat House, Keithhall, nverurie, Aberdeen AB51 0LX, UK (e-mail: wheatley{at}abdn.ac.uk)

REFERENCES

  1. Agutter PS, Wheatley DN. Metabolic scaling: consensus or controversy? Theoret Biol Med Model 1: 13, 2004.[CrossRef]
  2. Brown MF, Gratton TP, Stuart JA. Metabolic rate does not scale with body mass in cultured mammalian cells. Am J Physiol Regul Integr Comp Physiol 292: R2115–R2121, 2007.
  3. Clegg JS, Wheatley DN. Intracellular organization: evolutionary origins and possible consequences of metabolic rate control in vertebrates. Am Zool 31: 504–513, 1991.[ISI]
  4. Coulson RA. Metabolic rate and the flow theory: a study in chemical engineering. Comp Biochem Physiol 84: 217–229,1986.[CrossRef][Medline]
  5. Coulson RA, Hernandez T, Herbert JD. Metabolic rate and enzyme kinetics in vivo. Comp Biochem Physiol 56: 251–262, 1977.
  6. Demetrius L. Quantum statistics and metabolic scaling of organisms. Physica A 322: 477–490, 2003.[CrossRef][ISI]
  7. Demetrius L. The origin of allometric scaling laws in biology. J Theor Biol 243: 455–467, 2006.[CrossRef][ISI][Medline]
  8. Glazier DS. Beyond the "3/4-power law": variation in the intra- and interspecific scaling of metabolic rate in animals. Biol Rev Camb Philos Soc 80: 611–662, 2005.[Medline]
  9. Krebs H. Body size and tissue respiration. Biochim Biophys Acta 4: 249–269, 1950.[Medline]
  10. Martin AW, Fuhrman FA. The relationship between summated tissue respiration and metabolic rate in the mouse and dog. Physiol Zool 28: 18–34, 1955.
  11. Porter RK, Brand MD. Cellular oxygen consumption depends on body mass. Am J Physiol Regul Integr Comp Physiol 269: R226–R228, 1995.[Abstract/Free Full Text]
  12. Wang Z, O'Connor T, Heshk S, Heymsfield SB. The reconstruction of Kleiber's law at the organ-tissue level. J Nutr 131: 2967–2970, 2001.[Abstract/Free Full Text]
  13. West GB, Brown JH. The origin of allometric scaling laws in biology from genomes to ecosystems: towards a quantitative unifying theory of biological structure and organization. J Exp Biol 208: 1575–92, 2005.[Abstract/Free Full Text]
  14. West GB, Brown JH, Enquist BJ. A general model for the origin of allometric scaling laws in biology. Science 276: 122–126, 1997.[Abstract/Free Full Text]
  15. West GB, Woodruff WH, Brown JH. Allometric scaling of metabolic rate from molecules and mitochondria to cells and mammals. Proc Natl Acad Sci USA 99: 2473–2478, 2002.[Abstract/Free Full Text]
  16. Wheatley DN, Clegg JS. What determines the basal metabolic rate of vertebrate cells in vivo? Biosystems 32: 83–92, 1994.[CrossRef][ISI][Medline]



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This Article
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