Parameters of a positive chain sequence associated with orthogonal polynomials

2021 ◽  
Author(s):  
Gustavo Marcato ◽  
A. Ranga ◽  
Yen Lun
Keyword(s):  
Orthogonal Polynomials ◽  
Chain Sequence

Fibrinogen Bastia (γ 318 Asp → Tyr) a Novel Abnormal Fibrinogen Characterized by Defective Fibrin Polymerization

1999 ◽  
Vol 82 (12) ◽  
pp. 1639-1643 ◽  
Author(s):  
Karim Chabane Lounes ◽  
Claudine Soria ◽  
Antoine Valognes ◽  
Marie France Turchini ◽  
Jaap Koopman ◽  
...  
Keyword(s):  
Calcium Ions ◽  
Clinical Symptoms ◽  
Degradation Products ◽  
Base Substitution ◽  
Chain Gene ◽  
Fibrinogen Concentration ◽  
Clotting Time ◽  
Terminal Part ◽  
Fibrin Polymerization ◽  
Chain Sequence

SummaryA new congenital dysfibrinogen, Fibrinogen Bastia, was discovered in a 20-year-old woman with no clinical symptoms. The plasma thrombin-clotting time was severely prolonged. The functional plasma fibrinogen concentration was low (0.2 mg/ml), whereas the immunological concentration was normal (2.9 mg/ml). Purified fibrinogen Bastia displayed a markedly prolonged thrombin-clotting time related to a delayed thrombin-induced fibrin polymerization. Both the thrombin-clotting time and the fibrin polymerization were partially corrected by the addition of calcium ions. The anomaly of fibrinogen Bastia was found to be located in the γ-chain since by SDS-PAGE performed according to the method of Laemmli two γ-chains were detected, one normal and one with an apparently lower molecular weight. Furthermore, analysis of plasmin degradation products demonstrated that calcium ions only partially protect fibrinogen Bastia γ-chain against plasmin digestion, suggesting that the anomaly is located in the C-terminal part of the γ-chain. Sequence analysis of PCR-amplified genomic DNA fragments of the propositus demonstrated a single base substitution (G → T) in the exon VIII of the γ chain gene, resulting in the amino acid substitution 318 Asp (GAC) → Tyr (TAC). The PCR clones were recloned and 50% of them contained the mutation, indicating that the patient was heterozygous. These data indicate that residue Asp 318 is important for normal fibrin polymerization and the protective effect of calcium ions against plasmin degradation of the C-terminal part of the γ-chain.

scholarly journals A new family of orthogonal polynomials in three variables

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Rabia Aktaş ◽  
Iván Area ◽  
Esra Güldoğan
Keyword(s):  
Orthogonal Polynomials ◽  
New Family

scholarly journals Non-local Solvable Birth–Death Processes

2021 ◽  
Author(s):  
Giacomo Ascione ◽  
Nikolai Leonenko ◽  
Enrica Pirozzi
Keyword(s):  
Differential Equations ◽  
Orthogonal Polynomials ◽  
Limit Distribution ◽  
Spectral Decomposition ◽  
Strong Solutions ◽  
Stochastic Representation ◽  
Discrete Approximations ◽  
Local Difference ◽  
Non Local ◽  
Birth Death

AbstractIn this paper, we study strong solutions of some non-local difference–differential equations linked to a class of birth–death processes arising as discrete approximations of Pearson diffusions by means of a spectral decomposition in terms of orthogonal polynomials and eigenfunctions of some non-local derivatives. Moreover, we give a stochastic representation of such solutions in terms of time-changed birth–death processes and study their invariant and their limit distribution. Finally, we describe the correlation structure of the aforementioned time-changed birth–death processes.

scholarly journals Extended Kalman Filter Using Orthogonal Polynomials

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 59675-59691
Author(s):  
Kundan Kumar ◽  
Shovan Bhaumik ◽  
Paresh Date
Keyword(s):  
Kalman Filter ◽  
Orthogonal Polynomials ◽  
Extended Kalman Filter
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