Infinitely many homoclinic solutions for a class of damped vibration problems

In this paper, we consider the multiplicity of homoclinic solutions for the following damped vibration problems x¨(t) + Bx˙(t) − A(t)x(t) + Hx(t, x(t)) = 0, where A(t) ∈ (R, RN) is a symmetric matrix for all t ∈ R, B = [bij] is an antisymmetric N × N constant matrix, and H(t, x) ∈ C 1 (R × Bδ , R) is only locally defined near the origin in x for some δ > 0. With the nonlinearity H(t, x) being partially sub-quadratic at zero, we obtain infinitely many homoclinic solutions near the origin by using a Clark’s theorem

Lurasidone hydro­chloride

In the crystal structure of the title compound, C28H37N4O2S+·Cl− [systematic name: 4-(1,2-benzothia­zol-3-yl)-1-({2-[(3,5-dioxo-4-aza­tricyclo­[5.2.1.02,6]decan-4-yl)meth­yl]cyclo­hex­yl}meth­yl)piperazin-1-ium chloride], the anions and cations are linked by N—H⋯Cl hydrogen bonds. The crystal structure is further stabilized by C—H⋯π and C—H⋯O inter­actions

Exploration of Macro-Micro Biomarkers for Dampness-Heat Syndrome Differentiation in Different Diseases

Increased attention is being paid to traditional Chinese medicine (TCM) as a complementary and alternative medicine to provide an effective approach for personalized diagnosis and clinical treatment. TMC performs treatment based on differentiation of TCM syndrome (ZHENG), which may identify special phenotypes by symptoms and signs of patients even if they are in different diseases. There has, however, been skepticism and criticism because syndrome classification only depends on observation, knowledge, and clinical experience of TCM practitioners, which lacks objectivity and repeatability. In order to transform syndrome classification into mainstream medicine, we introduce a macro-micro approach that combines symptoms, clinical indicators, and metabolites. The present paper explores the macro-micro biomarkers of dampness-heat syndrome in chronic hepatitis B and nonalcoholic fatty liver patients, which could provide the basis for developing a possible population-screening tool for selecting target individuals and creating an evaluation index for personalized treatment