Über die ungeordnete Bewegung niederer Tiere

Przibram, Karl

doi:10.1007/bf01686480

Cited by 28 publications

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“…Example of Przibram's motility data, a trajectory of a protozoon, hand-drawn with a mechanical tracking device operated in real time with a microscope. A metronome was used to mark time on the trajectory every four seconds [5].…”

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confidence: 99%

Cell motility as random motion: A review

Selmeczi

Pedersen

et al. 2008

Eur. Phys. J. Spec. Top.

118

113

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Abstract. The historical co-evolution of biological motility models with models of Brownian motion is outlined. Recent results for how to derive cell-type-specific motility models from experimental cell trajectories are reviewed. Experimental work in progress, which tests the generality of this phenomenological model building is reported. So is theoretical work in progress, which explains the characteristic time scales and correlations of phenomenological models in terms of the dynamics of cytoskeleton, lamellipodia, and pseudopodia.1 The co-evolution of theories for Brownian and biological random motion Robert Brown did not discover Brownian motion.

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confidence: 99%

Cell motility as random motion: A review

Selmeczi

Pedersen

et al. 2008

Eur. Phys. J. Spec. Top.

118

113

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“…Brown killed that idea. But after Einstein in 1905 had published his theory for Brownian motion, Przibram in 1913 demonstrated that this theory describes also the self-propelled random motion of protozoa [35]. By tracking the trajectories x(t) of individual protozoa, see Fig.…”

Section: Biological Random Motionmentioning

confidence: 99%

Section: Biological Random Motionmentioning

confidence: 99%

Brownian Motion after Einstein: Some New Applications and New Experiments

Selmeczi

Nørrelykke

Schäffer

et al.

Lecture Notes in Physics

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“…Some examples of succesfull application of the independent Brownian motion model in an ecological context may be found in Przibram (1913Przibram ( , 1918, Skellam (1951) and Pielou (1969).…”

Section: Introductionmentioning

confidence: 99%

How many victims will a pitfall make?

Jansen

Metz²

1979

Acta Biotheor

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A model for the trapping of animals with a circular pitfall is formulated. The model's assumptions are: (1) The animals move independently according to the same Brownian motions. (2) The boundary of the pitfall acts as an absorbing or elastic barrier. (3) Initially a fixed number of animals is independently homogeneously distributed over a finite study area (a), or the initial positions follow a homogeneous planar Poisson process (b). The model depends on three free parameters: (i) the motility of the animals, (ii) their reaction to the pitfall, (iii) the initial density.It appears that the catches in disjoint time intervals are multinomially (a) or independently Poisson (b) distributed. The parameters of these distributions are obtained by solving certain partial differential equations.Estimation and testing problems are considered, and the data of some laboratory and field experiments are analyzed. It appears that it is possible to estimate both the animals' motility and density from a pitfall experiment. However, the accuracy is very low. To solve this problem at least partially, experiments for the separate estimation of parameters other than the density are discussed.

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Über die ungeordnete Bewegung niederer Tiere

Cited by 28 publications

References 0 publications

Cell motility as random motion: A review

Cell motility as random motion: A review

Brownian Motion after Einstein: Some New Applications and New Experiments

How many victims will a pitfall make?

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