... advantage of p53 mutation analysis, and a unique feature of this database, is the availability ofthe residual activity ofthe majority of p53 missense mutants The biological activity of mutant ... the cross indicates the cut-off value used in PREDMUT The limit between the classes was set to the activity value of 25%, because this value was observed to be a natural divider ofthe data The ... favour of a severe mutant At the other end ofthe spectrum, where we have low energy, there is 75% probability for the mutation to be nonsevere if the energy is 0.125 or lower Thus, on the basis of...
... 7) The mathematical treatment of LaPorte et al [2] is reproduced here for the Phser branch -point When the branch -point is in steady-state, the ux of Phser (JPhser) is equal to the sum ofthe ... model ofthe steady-state in the branch -point The mathematical procedure published previously for the study ofthe isocitrate branch -point in E coli [2] was adapted to model the Phser branch -point ... are the TS catalytic constant in the absence and presence of a saturating concentration of AdoMet, respectively K1K2 is the product ofthe binding constants for the association ofthe rst and the...
... mentioning that the conditions of our theorems are easily to verify, so they are applicable to a variety of problems, see Examples 4.1 and 4.2 The proof of our main results is based upon the following ... t∈[η,1] β(1 − η) , η} − βη Proof Note that u“ (t) ≤ 0, by applying the concavity of u, the proof is easy So we omit it where γ = min{βη, Proofs of main theorems Define the operator T : C[0, 1] ® ... http://www.advancesindifferenceequations.com/content/2011/1/2 Page of 11 as an important area of investigation For the general theory and applications of integer order differential equations with deviated arguments, we refer the reader to the references...
... improve some ofthe conditions and results in the mentioned papers, especially those of Song and Xu 11 Preliminaries Let S : {x ∈ X : x 1} be the unit sphere ofthe Banach space X The space X ... fixed point x ∈ C, which is the unique solution in C to the variational inequality VI∗ F, C , that is Fx∗ , J x − x∗ ≥ 0, ∀x ∈ C 3.6 Fixed Point Theory and Applications Proof We divide the proof ... C1 , then condition ii in Theorem 4.2 holds Proof From 1.9 , C1 , and the boundedness of {xn }, we conclude that xn − T tn xn λn xn − T tn xn − μFxn −→ 0, 4.20 as n → ∞ On the other hand, the...
... 2.2 k then T has a fixed point in C This result generalizes Lifshitz’s Theorem in case of a Hilbert space and shows that the theorem admits certain perturbations in the behavior ofthe norm of successive ... 1.2 F and the Lipschitz constant of T tends to if ε ↓ For more information on the structure of fixed point sets see 4, and references therein In 1973, Goebel and Kirk introduced the class of uniformly ... ε ↓ and using the continuity of δH , we conclude that 1 − δH ε0 R0 This contradiction proves the continuity of mapping A < 2.20 Fixed Point Theory and Applications The Methods of Hilbert Spaces...
... elementary proof ofthe uniqueness ofthe fixed point index, Pacific J Math 35 (1970), 549–558 , The Lefschetz Fixed Point Theorem, Scott, Foresman and Company, London, 1971 A Granas, The Leray-Schauder ... and the set Fix( f ,U) := x ∈ U : f (x) = x (2.2) ofthe fixed points of f in U is compact In particular, ( f ,U) is admissible if the closure U of U is a compact subset of Ᏸ( f ) and f is fixed -point- free ... admissible because ofthe compactness of V We will show that the properties of normalization, additivity, and homotopy invariance imply a formula for the computation ofthe fixed point index that...
... perturbation If only the linear part ofthe data is subject to perturbation, then the upper semicontinuity ofthe KKT point set mapping can be studied via a theorem of Robinson [9] on the upper Lipschitz ... proved that the assertion of Theorem 2.2 remains valid if instead of (c1)–(c4) we use (c1)–(c5) The method of dealing with (c5) is similar to that of dealing with (c4) in the proof of Theorem 2.2 ... the usefulness of (c5) in characterizing the lower semicontinuity property ofthe multifunction S(·) is to be investigated furthermore This is the reason why we omit (c5) in the formulation of...
... performances ofthe offspring ofthe candidate for selection The selection criterion (21) is then a true measure ofthe candidate’s value, and can be considered as an approximation ofthe criterion ... of interest, E!(X) its expectation in the selected part in the candidate population, and Ed (X ) the expectation of phenotypes among the offspring ofthe w-selected parents The numerator is the ... w, then calculate the corresponding distribution in the offspring population Let f (y) be the unconditional distribution of Y, and f (u, v) the joint density of u and v The density of Y in the...
... at the mitochondria Pro-apoptotic and anti-apoptotic members ofthe Bcl-2 family of apoptotic regulators meet at the surface of mitochondria, where they compete to regulate the release ofthe ... by the removal ofthe prodomain after another cleavage event on the large subunit The large subunit and small subunit then associate with each other to form a heterodimer which unites with another ... Horvitz, 1990) Later, the cloning ofthe ced-3 gene by Yuan and co-workers led to the identification ofthe gene as a C elegans homologue ofthe mammalian ICE (Yuan et al., 1993) These observations...
... apply to the other types of agents as well 1.3 Two statements This thesis consists of two parts For each of these two parts a separate statement will be formulated The first part ofthe thesis ... needs, and for the connection ofthe user with the agent(s) that will help him solve his problem The number of types of agents the Interface Agent has to deal with, depends on the aims ofthe system ... in the other-half population rather than the upstream population These particular other-half consumers report the highest degree of frustration with the Web of any population segment Although they...
... the Strum Farm in the southern half ofthe Bear Creek channel system The elevation ofthe site is 318 m The aspect from true north is 200 degrees and the latitude is 42 degrees The slope ofthe ... that the organic matter for the rest ofthe soil profile (the third layer to the eighth layer) were half ofthe previous layer We did not have field measurements for the microbial pools; therefore ... runoff loss As atrazine load into the RBS and the runoff depth from the cornfield increased the atrazine mass loss in runoff leaving the RBS increased (Table 4) Atrazine mass in runoff leaving the...
... apply to the other types of agents as well 1.3 Two statements This thesis consists of two parts For each of these two parts a separate statement will be formulated The first part ofthe thesis ... needs, and for the connection ofthe user with the agent(s) that will help him solve his problem The number of types of agents the Interface Agent has to deal with, depends on the aims ofthe system ... in the other-half population rather than the upstream population These particular other-half consumers report the highest degree of frustration with the Web of any population segment Although they...
... components of double curves in X; • fn : the number of n-faces of G, i.e the number of En -points of X, for n 3; • f := n fn , the number of faces of G, i.e the total number of En -points of X, for ... rn : the number of open n-faces of G, i.e the number of Rn -points of X, for n 3; • r:= n rn , the total number of Rn -points of X, for all n 3; • sn : the number of n-angles of G, i.e the number ... respectively] the number of En -points [Rn -points and Sn -points, respectively] of X along γ Denote by dγ the number of double points ofthe total space X along γ, off the Zappatic singularities of X Then:...
... To overcome the fact that the prosa z-score is dependant ofthe length ofthe amino acid sequence, the z-score was normalized using the natural logarithm ofthe sequence length [39] The resulting ... distribution ofthe percentage best model, for each ofthe 672 best models, is presented in the left panel Ofthe six template structures used, 54% ofthe sequences give the best model with the FixL ... portions ofthe Fa helix and the subsequent FG loop were poorly defined in this structural ensemble [1] The Fa helix and the FG loop correspond to that region ofthe PAS fold that is part ofthe region...
... are the seeds that later produce knowledge and wisdom, then the emotions and the impressions ofthe senses are the fertile soil in which the seeds must grow The years of early childhood are the ... time to prepare the soil Once the emotions have been aroused a sense ofthe beautiful, the excitement ofthe new and the unknown, a feeling of sympathy, pity, admiration or love then we wish ... nature The cycle can follow the whole process, or it may only complete parts ofthe process The more elements ofthe process used deepens the depth of engagement and subsequent understanding Further...
... evaluated the accuracy oftheprediction using ROC scores, defined as the area under the receiver operating curve (ROC), that is, the area under the plot of true positives as a function of false ... j is defined by the number of nucleotides between the end ofthe i-th gene and the start ofthe j-th gene along the chromosomes We then derived a distance kernel using the formula Kposition (xi,xj) ... parameter In this study the parameter h is set to 105 This means that, the larger the distance between two genes along the chromosome, the smaller the value ofthe similarity score The resulting kernel...
... modifications of chromatin [9] Little is known, however, ofthe functional role ofthe remaining subclass members In this study, the yeast protein SPP1 (alias cps40), a member ofthe COMPASS complex ... constitute CGBP homologues The presence of a TFS2M domain is also indicative of a possible function for the DIDO1 long isoform (Figs and S2) It is the second domain ofthe elongation factor, TFSII ... in the tree (Fig 1), the branch ofthe FEBS Journal 272 (2005) 3505–3511 ª 2005 FEBS A M Rojas et al fungal sequences is clearly distant from the other branches, which was indeed predicted The...
... E/Cdk2:p27 For each ofthe intermediates, the ratio of its gradient in the correlation plot and the gradient of cyclin E/Cdk2:p27 was close to the value ofthe co-control coefficient ofthe intermediate ... absolute time point, then the sum of control coefficients would add up to )1 (as they for the control on the cell division time) The four steps delaying the RP the most (i.e with the highest positive ... (A), with the points denoting the time pointof RP (x-axis) and the concentration of cyclin E/Cdk2:p27 (y-axis) For each simulation, the perturbed variable is indicated (B) The results of similar...
... • Taken together, the binding of oxygen to ferrous PGIS is similar to that of other P450s with respect to the transient formation ofthe oxyferrous form, followed by restoration ofthe resting ... nm In the presence of substrate, the secondorder rate constant of oxygen binding at °C was · 105 m)1Æs)1, and the auto-oxidation rate ofthe oxyferrous complex was 0.37 s)1 In the absence of substrate, ... sity ofthe Soret peak, suggesting that the redox process may cause bleaching ofthe enzyme We then added a small amount of dithionite to the solution containing re-oxidized PGIS and sealed the...
... to the strategy ofthe proof of Theorem 1.3.9 At the n-th stage ofthe induction over the period we consider the family of polynomial ˜ perturbations {fε