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The shape correction function is a ratio of the surface area of a growing organism and that of an
isomorph An isomorph is an organism that does not change in shape during growth. The implication is that its volume is proportional to its cubed length, and its surface area to its squared length. This holds for any shape it might have; the actual shape de ...
as function of the volume. The shape of the isomorph is taken to be equal to that of the organism for a given reference volume, so for that particular volume the surface areas are also equal and the shape correction function has value one. For a volume V and reference volume V_d, the shape correction function M(V) equals: *
V0-morph A V0-morph is an organism whose surface area remains constant as the organism grows. The reason why the concept is important in the context of the Dynamic Energy Budget theory is that food (substrate) uptake is proportional to surface area, and mai ...
s: M(V) = (V/V_d)^ *
V1-morph An V1-morph is an organism that changes in shape during growth such that its surface area is proportional to its volume. In most cases both volume and surface area are proportional to length The reason the concept is important in the context of th ...
s: M(V) = (V/V_d)^ *
Isomorph An isomorph is an organism that does not change in shape during growth. The implication is that its volume is proportional to its cubed length, and its surface area to its squared length. This holds for any shape it might have; the actual shape de ...
s: M(V) = (V/V_d)^0 = 1 Static mixtures between a V0 and a V1-morph can be found as: M(V) = w(V/V_d)^ + (1-w)(V/V_d)^ for 0 The shape correction function is used in
Dynamic Energy Budget The dynamic energy budget (DEB) theory is a formal metabolic theory which provides a single quantitative framework to dynamically describe the aspects of metabolism (energy and mass budgets) of all living organisms at the individual level, based o ...
theory to correct equations for
isomorph An isomorph is an organism that does not change in shape during growth. The implication is that its volume is proportional to its cubed length, and its surface area to its squared length. This holds for any shape it might have; the actual shape de ...
s to organisms that change shape during growth. The conversion is necessary for accurately modelling food (substrate) acquisition and mobilization of reserve for use by metabolism.


References

{{DEFAULTSORT:Shape Correction Function Developmental biology Metabolism