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41.
S. Schamberg P. Houston N. A. M. Monk M. R. Owen 《Bulletin of mathematical biology》2010,72(3):645-680
Planar cell polarity (PCP) occurs in the epithelia of many animals and can lead to the alignment of hairs, bristles, and feathers. Here, we present two approaches to modelling this phenomenon. The aim is to discover the basic mechanisms that drive PCP, while keeping the models mathematically tractable. We present a feedback and diffusion model, in which adjacent cell sides of neighbouring cells are coupled by a negative feedback loop and diffusion acts within the cell. This approach can give rise to polarity, but also to period two patterns. Polarisation arises via an instability provided a sufficiently strong feedback and sufficiently weak diffusion. Moreover, we discuss a conservative model in which proteins within a cell are redistributed depending on the amount of proteins in the neighbouring cells, coupled with intracellular diffusion. In this case, polarity can arise from weakly polarised initial conditions or via a wave provided the diffusion is weak enough. Both models can overcome small anomalies in the initial conditions. Furthermore, the range of the effects of groups of cells with different properties than the surrounding cells depends on the strength of the initial global cue and the intracellular diffusion. 相似文献
42.
As well as there being a direct physical effect of the state (for example fat reserves, or size) of an animal on the risk of being caught by a predator, state also has an effect on predation risk indirectly through changes in behaviour. We present a mathematical model which looks at these two components of the effect of state on predation risk. We focus on two different models, (i) where the animal must achieve a fixed state and its fitness depends on the time at which this state is reached and (ii) where the animal must survive until a fixed time and its fitness depends on its final state. We investigate conditions under which the indirect effect of increased state is to increase or decrease predation risk, and give some numerical illustrations. Under certain conditions in the fixed-state model, the indirect effect of state is to increase predation risk, whereas under certain conditions in the fixed-time model the indirect effect of state is to decrease predation risk. We discuss the implications of our results for empirical investigations into the effect of state on predation risk. 相似文献
43.
Loewen MC Chao H Houston ME Baardsnes J Hodges RS Kay CM Sykes BD Sönnichsen FD Davies PL 《Biochemistry》1999,38(15):4743-4749
Two sets of variants of type I antifreeze protein have been synthesized to investigate the role of Leu and Asn in the activity of this 37-residue alpha-helix. Leu and Asn flank the central two of four regularly spaced ice-binding Thr in the i-1 and i + 3 positions, respectively. All three residues project from the same side of the helix to form the protein's putative ice-adsorption site and are considered in some models to act together as an "ice-binding motif". Replacement of Asn by residues with shorter side chains resulted in either a small loss (Ala) or gain (Thr) of antifreeze activity. However, substitution of Asn by its slightly larger homologue (Gln) abolished thermal hysteresis activity. The Gln-containing peptide was very soluble, largely monomeric, and fully helical. Of the three variants in which Leu was replaced by Ala, two of the three were more active than their Leu-containing counterparts, but all three variants began to precipitate as the peptide concentration increased. None of the seven variants tested showed dramatic differences in ice crystal morphology from that established by the wild type. These results are consistent with a primary role for Leu in preventing peptide aggregation at the antifreeze protein concentrations (10 mg/mL) normally present in fish serum. Similarly the role for Asn may have more to do with enhancing the solubility of these rather hydrophobic peptides than of making a stereospecific hydrogen-bonding match to the ice lattice as traditionally thought. Nevertheless, the dramatic loss of activity in the Asn-to-Gln replacement demonstrates the steric restriction on residues in or near the ice-binding site of the peptide. 相似文献
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45.
McNamara JM Houston AI 《Philosophical transactions of the Royal Society of London. Series B, Biological sciences》2002,357(1427):1607-1616
We consider various implications of information about the other player in two-player evolutionary games. A simple model of desertion shows that information about the partner's behaviour can be disadvantageous, and highlights the idea of credible threats. We then discuss the general issue of whether the partner can convince the focal player that it will behave in a specific way, i.e. whether the focal player can make credible threats or promises. We show that when desertion decisions depend on reserves, a player can manipulate its reserves so as to create a credible threat of desertion. We then extend previous work on the evolution of trust and commitment, discussing conditions under which it is advantageous to assume that a partner will behave in a certain way even though it is not in its best interest. 相似文献
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47.
Carmen Huesa Dean Houston Tina Kiffer-Moreira Manisha C. Yadav Jose Luis Millan Colin Farquharson 《Biochemistry and Biophysics Reports》2015
Phosphatases are recognized to have important functions in the initiation of skeletal mineralization. Tissue-nonspecific alkaline phosphatase (TNAP) and PHOSPHO1 are indispensable for bone and cartilage mineralization but their functional relationship in the mineralization process remains unclear. In this study, we have used osteoblast and ex-vivo metatarsal cultures to obtain biochemical evidence for co-operativity and cross-talk between PHOSPHO1 and TNAP in the initiation of mineralization. Clones 14 and 24 of the MC3T3-E1 cell line were used in the initial studies. Clone 14 cells expressed high levels of PHOSPHO1 and low levels of TNAP and in the presence of β-glycerol phosphate (βGP) or phosphocholine (P-Cho) as substrates and they mineralized their matrix strongly. In contrast clone 24 cells expressed high levels of TNAP and low levels of PHOSPHO1 and mineralized their matrix poorly. Lentiviral Phospho1 overexpression in clone 24 cells resulted in higher PHOSPHO1 and TNAP protein expression and increased levels of matrix mineralization. To uncouple the roles of PHOSPHO1 and TNAP in promoting matrix mineralization we used PHOSPHO1 (MLS-0263839) and TNAP (MLS-0038949) specific inhibitors, which individually reduced mineralization levels of Phospho1 overexpressing C24 cells, whereas the simultaneous addition of both inhibitors essentially abolished matrix mineralization (85%; P<0.001). Using metatarsals from E15 mice as a physiological ex vivo model of mineralization, the response to both TNAP and PHOSPHO1 inhibitors appeared to be substrate dependent. Nevertheless, in the presence of βGP, mineralization was reduced by the TNAP inhibitor alone and almost completely eliminated by the co-incubation of both inhibitors. These data suggest critical non-redundant roles for PHOSPHO1 and TNAP during the initiation of osteoblast and chondrocyte mineralization. 相似文献
48.
Comparative proteomics of seed maturation in oilseeds reveals differences in intermediary metabolism 总被引:1,自引:0,他引:1
Proteomics is increasingly being used to understand enzyme expression and regulatory mechanisms involved in the accumulation of storage reserves in crops with sequenced genomes. During the past six years, considerable progress has been made to characterize proteomes of both mature and developing seeds, particularly oilseeds - plants which accumulate principally oil and protein as storage reserves. This review summarizes the emerging proteomics data, with emphasis on seed filling in soy, rapeseed, castor and Arabidopsis as each of these oilseeds were analyzed using very similar proteomic strategies. These parallel studies provide a comprehensive view of source-sink relationships, specifically sucrose assimilation into organic acid intermediates for de novo amino acid and fatty acid synthesis. We map these biochemical processes for seed maturation and illustrate the differences and similarities among the four oilseeds. For example, while the four oilseeds appear capable of producing cytosolic phosphoenolpyruvate as the principal carbon intermediate, soybean and castor also express malic enzymes and malate dehydrogenase, together capable of producing malate that has been previously proposed to be the major intermediate for fatty acid synthesis in castor. We discuss these and other differences in the context of intermediary metabolism for developing oilseeds. 相似文献
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50.
Belenkaya TY Han C Standley HJ Lin X Houston DW Heasman J Lin X 《Development (Cambridge, England)》2002,129(17):4089-4101