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Additional file 4: Table S1. Antibodies used in flow cytometry and cell sorting. Table S2. Primer sequences used in RT-PCR. Table S3. Antibodies used for western blotting.

A simple and effective damage constitutive model for PVC-coated fabrics be developed, which could be used to predict the nonlinear mechanical response of membrane structures under tension more accurately. In this paper, based on continuum damage mechanics theory, a nonlinear damage constitutive model for PVC-coated fabrics was established. Firstly, the off-axis tensile tests were carried out on the membrane material at 0 °, 15 °, 30 °, 45 °, 60 °, 75 °, and 90 ° with an electronic universal tensile testing machine, and the tensile curves of seven specimens were obtained. Then, the Helmholtz free energy function is constructed based on the continuum damage mechanics theory and the existing research foundation, and the constitutive equation of the material is derived. Then, according to the characteristics of the off-axial tensile test curve of the coated fabrics, a damage evolution equation for the materials under tension was established with strain as an independent variable. By compiling a MATLAB program of the constitutive model, the parameters were obtained, and the off-axial tensile test curves of PVC-coated fabrics were predicted. The constitutive model was compiled using the user-defined subroutine UMAT in ABAQUS, and the correctness of the model was verified by simulating a static loading test of the membrane structure under in-plane tension. The model shows a good performance in computation and the obtained results are also in good agreement with experimental data. These features enable the proposed model to be used in numerical calculations for membrane structures.

Additional file 9: Figure S5. Chromosome distributions of NPF genes in Arabidopsis, Brassica rapa, and Brassica oleracea. (PDF 1556 kb)

Additional file 5: Figure S3. The EXXEK(R) domain of NPF proteins in Brassica napus and Arabidopsis. (PDF 4401 kb)

Additional file 12: Figure S6. Expression profiles of Arabidopsis NPF genes.

Additional file 6: Figure S4. Gene structures of NPF genes in Brassica napus and Arabidopsis. (PDF 4090 kb)

Additional file 3: Figure S1. Maximum likelihood (ML) tree of NPF proteins from Brassica napus and Arabidopsis. (PDF 936 kb)

Additional file 4: Figure S2. Protein structure of NPF proteins in Brassica napus and Arabidopsis. (PDF 12899 kb)

Johnius taiwanensis is a newly described species from the Family Sciaenidae (Perciformes). The species is commonly found in shallow coastal waters along both sides of the Taiwan Strait, on the west sides of Zhejiang, Fujian, Guangdong and Hong Kong and east side of Taiwan, and has been misidentified for decades. We studied the reproductive biology of J. taiwanensis from Fujian coastal waters, southern China, using gonadosomatic index (GSI) and gonad histology analyses. Monthly sampling from July 2016 to October 2017 was conducted and a total of 638 specimens were collected, ranging from 7.3 to 19.0 cm standard length (SL). Gonad histology suggested that the spawning activity of J. taiwanensis females and males lasted from April to October, and the peak spawning months for females was July to September. Mature females and males were 12.5 and 11.8 cm SL, respectively, while the estimated sizes at 50% maturity were 12.0 cm and 10.9 cm SL, respectively. Vitellogenic stage oocytes (O3) and post-ovulatory follicles (POF) or hydrated oocytes (HO) were observed, and POF and O3 in ovaries indicated that J. taiwanensis spawns multiple times each spawning season. HO or both HO and POF were observed in ovaries collected from one same location in May 2017 and August 2016.