L. Gibiansky

Publications108
h-index32
Citations2,821
Highly Influential Citations119
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Multiphase composites with extremal bulk modulus
Abstract This paper is devoted to the analytical and numerical study of isotropic elastic composites made of three or more isotropic phases. The ranges of their effective bulk and shear moduli are…
Variational principles for complex conductivity, viscoelasticity, and similar problems in media with complex moduli
Linear processes in media with dissipation arising in conductivity, optics, viscoelasticity, etc. are considered. Time‐periodic fields in such media are described by linear differential equations for…
Approximations of the target-mediated drug disposition model and identifiability of model parameters
TLDR
The proposed identifiability analysis algorithm may be applied to provide justification for use of simplified approximations, avoiding use of incorrect parameter estimates of over-parameterized T MDD models while simultaneously saving time and resources required for the pharmacokinetics analysis of drugs with TMDD.
Coupled estimates for the bulk and shear moduli of a two-dimensional isotropic elastic composite
Abstract We improve the classical Hashin-Shtrikman and Walpole estimates of the effective properties for an isotropic mixture assembled from two isotropic elastic materials. The planar elasticity…
Connection between the conductivity and bulk modulus of isotropic composite materials
Rigorous cross-property bounds that connect the effective electrical conductivity σ* and the effective bulk modulus K* of any isotropic two-phase composite are derived when the volume fractions of…
The exact coupled bounds for effective tensors of electrical and magnetic properties of two-component two-dimensional composites
Population Pharmacokinetic Analysis of Denosumab in Patients with Bone Metastases from Solid Tumours
TLDR
The integration of pharmacokinetic data from 14 clinical studies demonstrated denosumab RANKL-mediated pharmacokinetics and Pharmacokinetics-based dosage adjustments on the basis of body weight, age, race and tumour type are not necessary in patients with bone metastases from solid tumours.
Population PK and IgE Pharmacodynamic Analysis of a Fully Human Monoclonal Antibody Against IL4 Receptor
TLDR
The population PK model adequately described AMG 317 PK from IV and SC routes over a 60-fold range of doses with two dosing strengths across multiple studies covering healthy volunteers and patients with mild to severe asthma.
Microstructures of Composites of Extremal Rigidity and Exact Bounds on the Associated Energy Density
We study the elastic composites of extremal stiffness, i.e., periodic structures that provide minimal energy density in a given stress field (we call them composites of the minimal compliance or of…
Effective mechanical and transport properties of cellular solids
We utilize two different approaches, homogenization theory and discrete network analyses, to study the mechanical and transport properties of two-dimensional cellular solids (honeycombs) consisting…
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