Journal of Theoretical Biology
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Inferring extinction risks from sighting records.
We offer is more general than others in the literature to date. Our formulation allows for definite and uncertain observations, and thus better accommodates the realities of sighting record quality. Typically, the probability of observing a species given it is extant/extinct is challenging to define...
Inferring biological evolution from fracture patterns in teeth.
It is hypothesised that specific tooth forms are adapted to resist fracture, in order to accommodate the high bite forces needed to secure, break down and consume food. Three distinct modes of tooth fracture are identified: longitudinal fracture, where cracks run vertically between the occlusal cont...
Does the Australian desert ant Melophorus bagoti approximate a Lévy search by an intrinsic bi-modal walk?
We suggest that the Australian desert ant Melophorus bagoti approximates a Lévy search pattern by using an intrinsic bi-exponential walk and does so when a Lévy search pattern is advantageous. When attempting to locate its nest, M. bagoti adopt a stereotypical search pattern. These searches begin at...
Generalized hydromechanical model for stomatal responses to hydraulic perturbations.
We propose a simple model where turgor pressure of a cell is taken to be a power function of its volume, and obtain results in qualitative agreement with experimental data for responses to a variety of hydraulic perturbations: Firstly, stationary stomatal conductance as a function of the vapor press...
Study of LZ-word distribution and its application for sequence comparison.
We revised Lempel-Ziv complexity and obtained various sets of LZ-words. Instead of calculating the LZ-words' contents, we defined a series of set operations on LZ-word set to compare biological sequences. In order to assess the effectiveness of the proposed method, we performed two sets of experimen...
On dichotomic classes and bijections of the genetic code.
We formalize the mathematical properties of these classes, first focusing on all the possible decompositions of the 64 codons of the genetic code into two equally sized dichotomic subsets. Then the global framework of bijective transformations of the nucleotide bases is discussed and we clarify when...
Conditions for neutral speciation via isolation by distance.
We show that the analytical formula is indeed a very good overall description of the simulations and that the exponents describing dependence of the critical threshold of speciation with the parameters are in good agreement with the simulations. © 2013 Elsevier Ltd. All rights reserved....
A simple model for the establishment of tick-borne pathogens of Ixodes scapularis: a global sensitivity analysis of R0.
We develop a simple mechanistic model for the basic reproduction number for a group of tick-borne pathogens that wholly, or almost wholly, depend on horizontal transmission to and from vertebrate hosts. This group includes the causative agent of Lyme disease, Borrelia burgdorferi, and the causative...
A review of mathematical models for the formation of vascular networks.
Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis and angiogenesis. The former term describes the formation of a capillary-like network from either a dispersed or a monolayered population of endothelial cells, reproducible also in vitro by specific experimental...
Predator bioenergetics and the prey size spectrum: Do foraging costs determine fish production?
We use a simple but flexible model of fish bioenergetics to show that constant satiation is likely to occur in fish that optimize both net production rate and life history. The model includes swimming speed as an explicit measure of foraging activity leading to both energy gains (through prey ingest...