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Biomedical subjects

Karen M Page

Publications and source records attributed to Karen M Page.

5 recordsLinked to original sources

Unifying evolutionary dynamics.

Darwinian evolution is based on three fundamental principles, reproduction, mutation and selection, which describe how populations change over time and how new forms evolve out of old ones. There are numerous mathematical descriptions of the resulting evolutionary dynamics. In this paper, we show that apparently very different formulations are part of a single unified framework. At the center of this framework is the equivalence between the replicator-mutator equation and the Price equation. From these equations, we obtain as special cases adaptive dynamics, evolutionary game dynamics, the Lotka-Volterra equation of ecology and the quasispecies equation of molecular evolution.

Animals↗

Module dynamics of the GnRH signal transduction network.

We analyse computational modules of a frequency decoding signal transduction network. The gonadotropin releasing hormone (GnRH) signal transduction network mediates the biosynthesis and release of the gonadotropins, luteinizing hormone (LH) and follicle stimulating hormone (FSH). The pulsatile pattern of GnRH production by the hypothalamus has a critical influence on the release and synthesis of gonadotropins in the pituitary. In humans, slower pulses lead to the expression of the beta-subunit of the LH protein and cause anovulation and amenorrhea. Higher frequency pulses lead to expression of the alpha subunit and a hypogonadal state. The frequency sensitivity is a consequence of the structure of the GnRH signal transduction network. We analyse individual components of this network, organized into three network architectures, and describe the frequency-decoding capabilities of each of these modules. We find that these modules are comparable to simple circuit elements, some of which integrate and others which perform as frequency sensitive filters. We propose that the cell computes by exploiting variation in the time scales of protein activation (phosphorylation) and gene expression.

Animals↗

The novel product of a five-exon stargazin-related gene abolishes Ca(V)2.2 calcium channel expression.

We have cloned and characterized a new member of the voltage-dependent Ca(2+) channel gamma subunit family, with a novel gene structure and striking properties. Unlike the genes of other potential gamma subunits identified by their homology to the stargazin gene, CACNG7 is a five-, and not four-exon gene whose mRNA encodes a protein we have designated gamma(7). Expression of human gamma(7) has been localized specifically to brain. N-type current through Ca(V)2.2 channels was almost abolished when co-expressed transiently with gamma(7) in either Xenopus oocytes or COS-7 cells. Furthermore, immunocytochemistry and western blots show that gamma(7) has this effect by causing a large reduction in expression of Ca(V)2.2 rather than by interfering with trafficking or biophysical properties of the channel. No effect of transiently expressed gamma(7) was observed on pre-existing endogenous N-type calcium channels in sympathetic neurones. Low homology to the stargazin-like gamma subunits, different gene structure and the unique functional properties of gamma(7) imply that it represents a distinct subdivision of the family of proteins identified by their structural and sequence homology to stargazin.

Amino Acid Sequence↗

Empathy leads to fairness.

In the Ultimatum Game, two players are asked to split a prize. The first player, the proposer, makes an offer of how to split the prize. The second player, the responder, either accepts the offer, in which case the prize is split as agreed, or rejects it, in which case neither player receives anything. The rational strategy suggested by classical game theory is for the proposer to offer the smallest possible positive share and for the responder to accept. Humans do not play this way, however, and instead tend to offer 50% of the prize and to reject offers below 20%. Here we study the Ultimatum Game in an evolutionary context and show that empathy can lead to the evolution of fairness. Empathy means that individuals make offers which they themselves would be prepared to accept.

Biological Evolution↗

The ducky mutation in Cacna2d2 results in altered Purkinje cell morphology and is associated with the expression of a truncated alpha 2 delta-2 protein with abnormal function.

The mouse mutant ducky, a model for absence epilepsy, is characterized by spike-wave seizures and cerebellar ataxia. A mutation in Cacna2d2, the gene encoding the alpha 2 delta-2 voltage-dependent calcium channel accessory subunit, has been found to underlie the ducky phenotype. The alpha 2 delta-2 mRNA is strongly expressed in cerebellar Purkinje cells. We show that du/du mice have abnormalities in their Purkinje cell dendritic tree. The mutation in alpha 2 delta-2 results in the introduction of a premature stop codon and predicts the expression of a truncated protein encoded by the first three exons of Cacna2d2, followed by 8 novel amino acids. We show that both mRNA and protein corresponding to this predicted transcript are expressed in du/du cerebellum and present in Purkinje cells. Whereas the alpha 2 delta-2 subunit increased the peak current density of the Ca(V)2.1/beta(4) channel combination when co-expressed in vitro, co-expression with the truncated mutant alpha 2 delta-2 protein reduced current density, indicating that it may contribute to the du phenotype.

Alleles↗