89 research outputs found

    Extended Kalman Filter for Photographic Data from Impact Acceleration Tests

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    This paper presents the development of an Extended Kalman Filter (EKF) that optimally processes photographic data collected during short-duration impact acceleration tests. The system is modeled by a non-linear state-space representation using quaternions for rotational kinematics. Three cameras are used to photograph up to 14 fiducials mounted on a plate attached to the subject\u27s mouth. The filter yields the history of the rotational and translational kinematics of the origin of the mouth plate. Results from the EKF and analysis of the estimation error are presented

    A discrete algorithm for complex frequency-domain convolutions

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    Combined theoretical and computational study of interstrand DNA guanine–guanine cross-linking bytrans-[Pt(pyridine)2] derived from the photoactivated prodrugtrans,trans,trans-[Pt(N3)2(OH)2(pyridine)2]

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    Molecular modeling and extensive experimental studies are used to study DNA distortions induced by binding platinum(II)-containing fragments derived from cisplatin and a new class of photoactive platinum anticancer drugs. The major photoproduct of the novel platinum(IV) prodrug trans,trans,trans-[Pt(N3)2(OH)2(py)2] (1) contains the trans-{Pt(py)2}2+ moiety. Using a tailored DNA sequence, experimental studies establish the possibility of interstrand binding of trans-{Pt(py)2}2+ (P) to guanine N7 positions on each DNA strand. Ligand field molecular mechanics (LFMM) parameters for Pt–guanine interactions are then derived and validated against a range of experimental structures from the Cambridge Structural Database, published quantum mechanics (QM)/molecular mechanics (MM) structures of model Pt–DNA systems and additional density-functional theory (DFT) studies. Ligand field molecular dynamics (LFMD) simulation protocols are developed and validated using experimentally characterized bifunctional DNA adducts involving both an intra- and an interstrand cross-link of cisplatin. We then turn to the interaction of P with the DNA duplex dodecamer, d(5′-C1C2T3C4T5C6G7T8C9T10C11C12-3′)·d(5′-G13G14A15G16A17C18G19A20G21A22G23G24-3′) which is known to form a monofunctional adduct with cis-{Pt(NH3)2(py)}. P coordinated to G7 and G19 is simulated giving a predicted bend toward the minor groove. This is widened at one end of the platinated site and deepened at the opposite end, while the P–DNA complex exhibits a global bend of 67° and an unwinding of 20°. Such cross-links offer possibilities for specific protein–DNA interactions and suggest possible mechanisms to explain the high potency of this photoactivated complex
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