Population Genetics from an Information Perspective

Frieden, B. Roy; Plastino, A.; Soffer, B. H.

doi:10.1006/jtbi.2000.2199

Cited by 41 publications

(21 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Principle (1) has been applied in [4][5][6][7][8][9][10] to derive wave equations of quantum mechanics, basic thermodynamics and modern cell biology. Also derived have been the phenomena of statistical physics and other sciences [6,[11][12][13][14][15][16][17][18][19]. This includes the laws of cancer growth [6,13], the near-ubiquitous occurrence of statistical power laws [19] in science, including the quarter-power laws of biological and cosmological allometry [6,19], the de Broglie wave hypothesis (now, no longer a mere hypothesis) [17], thermodynamics using Fisher information in place of entropy [6,7], the Euler equation [14] of the chemical density functional and the laws of optimum economic investment [11] and of population dynamics [6,8,18] of animate or inanimate systems.…”

Section: An Information-based Alternativementioning

confidence: 99%

“…Therefore, J must be expressible in terms of its defining physical properties. For example, in describing: (1) quantum observation of the position of a particle [6,12], J is proportional to the square of the particle's mass; (2) cell growth, J increases with reproductive fitness [6,8,18]; (3) the growth of investment capital in econophysics, J increases as the expected value of the production function [11]; (4) cancer growth, J increases with cancer mass [6,13]; (5) the growth of competing populations, J is proportional to the mean-squared fitness over the populations [6,18]. Notice that in applications (2)-(5), there is no explicit dependence on energy, kinetic or potential, or on their difference, the "action".…”

Section: Examples Of Source Information Jmentioning

confidence: 99%

“…The logic here is that the parameter a will be best estimated if, first of all, the system q(x) "behind it" is best known, as well. Nature evidently allows realization of these benefits: the EPI principle works [4,6,[11][12][13][14][15][16][17][18][19]; and the best estimate (in the sense of absolute minimum mean-square error) of a is often achievable [5,6,12,22]. This is for systems p(x) that are called "efficient", e.g., those in the exponential family.…”

Section: In What Sense Is "Everything" Information?mentioning

confidence: 99%

See 2 more Smart Citations

Estimating a Repeatable Statistical Law by Requiring Its Stability During Observation

Frieden

2015

Entropy

View full text Add to dashboard Cite

Consider a statistically-repeatable, shift-invariant system obeying an unknown probability law p(x) ≡ q 2 (x). Amplitude q(x) defines a source effect that is to be found. We show that q(x) may be found by considering the flow of Fisher information J → I from source effect to observer that occurs during macroscopic observation of the system. Such an observation is irreversible and, hence, incurs a general loss I − J of the information. By requiring stability of the law q(x), as well, it is found to obey a principle I − J = min . of "extreme physical information" (EPI). Information I is the same functional of q(x) for any shift-invariant system, and J is a functional defining a physical source effect that must be known at least approximately. The minimum of EPI implies that I ≈ J or received information tends to well-approximate reality. Past applications of EPI to predicting laws of statistical physics, chemistry, biology, economics and social organization are briefly described.

show abstract

Section: An Information-based Alternativementioning

confidence: 99%

Section: Examples Of Source Information Jmentioning

confidence: 99%

Section: In What Sense Is "Everything" Information?mentioning

confidence: 99%

See 1 more Smart Citation

Estimating a Repeatable Statistical Law by Requiring Its Stability During Observation

Frieden

2015

Entropy

View full text Add to dashboard Cite

show abstract

“…The success of the approach in a wide range of amplitude-estimation problems [3], [4], [18]- [22], [23], [24], [25] implies that systems in general obey EP I through variation of their P DF s or amplitude f unctions. However, it is not known at this point whether systems as well obey EP I through variation of their channel f unctions.…”

Section: B Some Caveats To Epi Derivationmentioning

confidence: 99%

Power laws of complex systems from extreme physical information

Frieden

Gatenby

2005

Phys. Rev. E

View full text Add to dashboard Cite

Many complex systems obey allometric, or power, laws y = Y x a . Here y ≥ 0 is the measured value of some system attribute a, Y ≥ 0 is a constant, and x is a stochastic variable. Remarkably, for many living systems the exponent a is limited to values n/4, n = 0, ±1, ±2... Here x is the mass of a randomly selected creature in the population. These quarter-power laws hold for many attributes, such as pulse rate (n = −1). Allometry has, in the past, been theoretically justified on a case-by-case basis. An ultimate goal is to find a common cause for allometry of all types and for both living and nonliving systems. The principle I − J = extrem.of Extreme physical information (EPI) is found to provide such a cause. It describes the flow of Fisher information J → I from an attribute value a on the cell level to its exterior observation y. Data y are formed via a system channel function y ≡ f (x, a), with f (x, a) to be found. Extremizing the difference I − J through variation of f (x, a) results in a general allometric law f (x, a) ≡ y = Y x a . Darwinian evolution is presumed to cause a second extremization of I − J, now with respect to the choice of a. The solution is a = n/4, n = 0, ±1, ±2..., defining the particular powers of biological allometry. Under special circumstances, the model predicts that such biological systems are controlled by but two distinct intracellular information sources. These sources are conjectured to be cellular DNA and cellular transmembrane ion gradients 1

show abstract

“…This qualitative view has also been quantified as an information-based framework for constructing the Lagrangians, and probability laws, of physics [6][7][8][9]. Laws of biological growth follow as well from the approach [10,11]. Such a cooperative relationship between nature and the observer requires a communication channel.…”

Section: Introductionmentioning

confidence: 99%