Elements of Physical Biology¶
Lotka, A. J. (1925). Elements of Physical Biology.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Logistic Growth
- In chemical kinetics, an autocatalytic reaction whose product catalyzes its own formation runs logistically when substrate is finite.
This sourceApplies the methods of chemical kinetics to population and biological growth, treating autocatalytic reactions whose product catalyzes its own formation as self-amplifying (self-limiting on finite substrate), unifying chemical kinetics with population dynamics under one form.
Supported in partVerified against the work's full text
Lotka notes that his logistic law of growth resembles chemical autocatalysis and cites Ostwald's term, but cautions the analogy is not to be taken too seriously and gives no kinetics.
“the similarity between the law of growth (12) and the law of formation of a chemical substance by autocatalysis under certain con- ditions”
- In chemical kinetics, an autocatalytic reaction whose product catalyzes its own formation runs logistically when substrate is finite.
- Periodicity
- Ecological oscillations — the predator-prey cycles formalized by Lotka in 1925
This sourceWilliams & Wilkins. Foundational work proposing a unified mathematical framework for chemical, ecological, and demographic oscillations: introduces the predator–prey recurrence equations and argues for substrate-independent transfer of recurrence dynamics across physical and biological systems.
- Ecological oscillations — the predator-prey cycles formalized by Lotka in 1925
- Recurrence
- The vocabulary and reasoning of recurrence help practitioners recognize similar structures in new contexts, even when the domain names and physical mechanisms differ—the cross-substrate transfer Lotka (1925) sought to formalize when he proposed a unified mathematical biology spanning chemical, ecological, and demographic oscillations.
This sourceWilliams & Wilkins. Foundational work proposing a unified mathematical framework for chemical, ecological, and demographic oscillations: introduces the predator–prey recurrence equations and argues for substrate-independent transfer of recurrence dynamics across physical and biological systems.
Supported in partVerified against the work's full text
Lotka does propose carrying physical-chemical kinetics into a general mathematical biology, with oscillatory solutions for interacting species, but never states a cross-substrate transfer.
“Now it is this habit of thought, expressed in equation (2) , that is to be transplanted into the contemplation of problems of evolu- tion in general, and organic evolution in particular”
- The vocabulary and reasoning of recurrence help practitioners recognize similar structures in new contexts, even when the domain names and physical mechanisms differ—the cross-substrate transfer Lotka (1925) sought to formalize when he proposed a unified mathematical biology spanning chemical, ecological, and demographic oscillations.
Verification¶
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Registry ID ref:c68fc07419ba · see in the full table