Studien über physiologische Ähnlichkeit VI. Wachstumsähnlichkeiten

Pütter, August

doi:10.1007/bf01755094

Cited by 147 publications

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“…Please note that our formulation of the GGM and LGM allows a flexible location of the inflection point with respect to age (contrary to the other formulations of both models). Note also that only under the vBGM (formulation taken from von Bertalanffy, 1938Bertalanffy, , 1957Pütter, 1920) the humerus length at age 0 (birth size) is L 0 and asymptotic length equals L max . By contrast, for the GGM and LGM humerus length at age 0 (birth size) is…”

Section: Methodsmentioning

confidence: 99%

Growth patterns, sexual dimorphism, and maturation modeled in Pachypleurosauria from Middle Triassic of central Europe (Diapsida: Sauropterygia)

Klein

Griebeler

2018

Foss. Rec.

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Section: Methodsmentioning

confidence: 99%

Growth patterns, sexual dimorphism, and maturation modeled in Pachypleurosauria from Middle Triassic of central Europe (Diapsida: Sauropterygia)

Klein

Griebeler

2018

Foss. Rec.

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“…Later this became known as the Rubner's surface law [793]. Pütter [740] used it in a model of the growth of individuals in 1920. He saw growth as the difference between build-up and break-down.…”

Section: Energetics and Modelsmentioning

confidence: 99%

“…The von Bertalanffy growth curve results for isomorphs at constant food density and temperature and has been fitted successfully to the data of some 270 species from many different phyla; see Table 8.2 and [515]. The gain in insight since A. Pütter's original formulation in 1920 [740] is in the interpretation of the parameters in terms of underlying processes. It appears that heating costs do not affect the von Bertalanffy growth rateṙ B .…”

Section: Growthmentioning

confidence: 99%

Dynamic Energy and Mass Budgets in Biological Systems

Kooijman

2000

800

1,202

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second editionDynamic Energy Budget theory unifies the commonalities between organisms as prescribed by the implications of energetics, which link different levels of biological organization (cells, organisms and populations). The theory presents simple mechanistic rules that describe the uptake and use of energy and nutrients and the consequences for physiological organization throughout an organism's life cycle, including the relationships between energetics and aging and the effects of toxicants. In this new edition, the theory is broadened to encompass the fluxes of both energy and mass. All living organisms are now covered in a single quantitative framework, the predictions of which are tested against a wide variety of experimental results at the various levels of biological organization. The theory explains many general observations, such as the body size scaling relationships of certain physiological traits, and provides a theoretical basis for the widely used method of indirect calorimetry. In each case, the theory is developed in elementary mathematical terms, but a more detailed discussion of the methodological aspects of mathematical modelling is also included, making the book suitable for biologists and mathematicians with a broad interest in both fundamental and applied quantitative problems in biology.Bas Kooijman is Professor of Applied Theoretical Biology at the Vrije Universiteit in Amsterdam and is also head of the University's Department of Theoretical Biology. His research focuses on mathematical biology, in particular ecotoxicology which provided the framework for the original version of his Dynamic Energy Budget theory published in 1993 (Dynamic Energy Budgets in Biological Systems -Theory and Applications in Ecotoxicology). From the first edition:"This book is an excellent scientific product that informs and forces contemplation of issues relating to population and community ecology. The author has made a complex subject coherent." Thomas G. Hallam, Bulletin of Mathematical Biology "... a very useful and general tool to select more ecologically sound process equations and parameters in ecological models." Sven Erik Jørgensen, Ecological Modelling "The author has made a significant contribution to the problem of modelling the dynamics of biological populations at the level of the individual by synthesizing this very complicated subject into a relatively short list of general assumptions and putting the energetics of sub-models for vital rates on a solid basis." Jim Cushing, Mathematical Biosciences "The family of idealized models offered in this book is capable of playing a role analogous to that of Lotka-Volterra models in population dynamics ... I am confident that any model(s) capable of occupying this niche will be strongly influenced by the ideas in this book." Roger Nisbet, Ecology 9 LIVING TOGETHER Interaction between organisms: The spectrum from competition to preypredator systems. Evaluation of the consequences of the DEB model for population dynamics, food chains, and communities....

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“…Ostwald believed that the organism coordinates these rates so as to 'satisfy advantageously' its energy requirements, and that this principle provides the looked-for further constraint 36 . Further progress was made by August Pütter, who observed that a subset of the rates under consideration describe exchanges with the environment; such exchanges must be mediated by a surface and thus the scaling relationship between biomass and surface area provides an additional constraint 38 . Pütter thus arrives at a growth curve (biomass as a function of age) that applies universally to all organisms satisfying the underlying scaling relationship; this curve is nowadays better known under the name of Ludwig von Bertalanffy 39 , who promulgated a 'General Systems Theory' which built on the ideas advanced by Lotka 40 .…”

Section: Stoichiometric Constraints and Homeostasismentioning

confidence: 99%

Inceptions of Biomathematics from Lotka to Thom

Berg

2017

Science Progress

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Mathematical biology occupies a special place at the interface between the physical, mathematical and life sciences. Is this interface merely a meeting point for dabblers venturing out of their own proper domains to work on problems of mutual interest? Or is it an incipient science in its own right, with its own particular character, principles, and practices? The past century has seen vast advances in the application of mathematical and physical ideas and techniques to biological problems, in the process transforming many of them almost beyond recognition. Nonetheless, the question of a biomathematics as a new kind of science remains open, despite several fascinating, if sometimes problematic, attempts.

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Studien über physiologische Ähnlichkeit VI. Wachstumsähnlichkeiten

Cited by 147 publications

References 0 publications

Growth patterns, sexual dimorphism, and maturation modeled in Pachypleurosauria from Middle Triassic of central Europe (Diapsida: Sauropterygia)

Growth patterns, sexual dimorphism, and maturation modeled in Pachypleurosauria from Middle Triassic of central Europe (Diapsida: Sauropterygia)

Dynamic Energy and Mass Budgets in Biological Systems

Inceptions of Biomathematics from Lotka to Thom

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