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The von Bertalanffy growth function (VBGF), or von Bertalanffy curve, is a type of growth curve for a time series and is named after Ludwig von Bertalanffy. It is a special case of the generalised logistic function. The growth curve is used to model mean length from age in animals. [1]
The Bertalanffy equation describes the growth of a biological organism. It was presented by Ludwig von Bertalanffy in 1969. [11] = Here W is organism weight, t is the time, S is the area of organism surface, and V is a physical volume of the organism.
The classical logistic differential equation is a ... Von Bertalanffy function; ... S. Y. (2004). "Features and Partial Derivatives of Bertalanffy–Richards Growth ...
Kardar–Parisi–Zhang equation for bacteria surface growth models; Kermack-McKendrick theory in infectious disease epidemiology; Kuramoto model in biological and chemical oscillations; Mackey-Glass equations; McKendrick–von Foerster equation in age structure modeling; Nernst–Planck equation in ion flux across biological membranes
The individual growth model, published by von Bertalanffy in 1934, can be used to model the rate at which fish grow. It exists in a number of versions, but in its simplest form it is expressed as a differential equation of length ( L ) over time ( t ): L ′ ( t ) = r B ( L ∞ − L ( t ) ) {\displaystyle L'(t)=r_{B}\left(L_{\infty }-L(t ...
Von Bertalanffy function-- Von Foerster equation-- Von Kármán swirling flow-- Von Mangoldt function-- Von Mises distribution-- Von Mises–Fisher distribution-- Von Neumann algebra-- Von Neumann–Bernays–Gödel set theory-- Von Neumann bicommutant theorem-- Von Neumann cardinal assignment-- Von Neumann conjecture-- Von Neumann ...
It assumes that there is a relationship between size and natural mortality. Pauly’s original method was based on the correlation of M with von Bertalanffy growth parameters (K and L∞) and temperature (Gunderson 2002): N0 = N 1*e(-Z*∆t)
Biochemical systems theory is a mathematical modelling framework for biochemical systems, based on ordinary differential equations (ODE), in which biochemical processes are represented using power-law expansions in the variables of the system.