Critical points in logistic growth curves and treatment comparisons

Several biological phenomena have a behavior over time mathematically characterized by a strong increasing function in the early stages of development, then by a less pronounced growth, sometimes showing stability. The separation between these phases is very important to the researcher, since the maintenance of a less productive phase results in uneconomical activity. In this report we present methods of determining critical points in logistic functions that separate the early stages of growth from the asymptotic phase, with the aim of establishing a stopping critical point in the growth and on this basis determine differences in treatments. The logistic growth model is fitted to experimental data of imbibition of arariba seeds (Centrolobium tomentosum). To determine stopping critical points the following methods were used: i) accelerating growth function, ii) tangent at the inflection point, iii) segmented regression; iv) modified segmented regression; v) non-significant difference; and vi) non-significant difference by simulation. The analysis of variance of the abscissas and ordinates of the breakpoints was performed with the objective of comparing treatments and methods used to determine the critical points. The methods of segmented regression and of the tangent at the inflection point lead to early stopping points, in comparison with other methods, with proportions ordinate/asymptote lower than 0.90. The non-significant difference method by simulation had higher values of abscissas for stopping point, with an average proportion ordinate/asymptote equal to 0.986. An intermediate proportion of 0.908 was observed for the acceleration function method.

Morfo-anatomia do embrião de leguminosas arbóreas nativas

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Chuva de sementes e regeneração natural sob três espécies arbóreas em uma floresta em processo de restauração

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Estrutura da vegetação arbórea em gradiente altitudinal de um morro testemunho em uma floresta estacional semidecidual na região centro-sul do estado de São Paulo, sudeste do Brasil

Pós-graduação em Ciências Biológicas (Botânica) - IBB

Musgos da Gruta de Mirassol, São Paulo

Na Gruta de Mirassol foram encontradas 27 espécies de musgos pertencentes a 23 gêneros de 19 famílias. Racopilum tomentosum (Hedw.) Brid., Helicophyllum torquatum (Hook.) Brid. e Hyophila involuta (Hook.) Jaeg. & Sauerb. são as espécies mais abundantes. Brachymenium acuminatum Harv., Cyclodictyon varians (Sull.) O. Kuntze, Entodontopsis leucostega (Brid.) Buck & Ireland, Fissidens mollis Mitt., F. weirii Mitt., Hyophila involuta (Hook.) Jaeg. & Sauerb. e Trichosteleum fluviale (Mitt.) Jaeg. estão sendo referidas pela primeira vez para o estado de São Paulo.

Antiviral activity of plants occurring in the state of minas gerais (Brazil): Part III

A total of 24 extracts from 14 plant species collected at the state of Minas Gerais, Brazil, and belonging to five botanical families (Annonaceae, Apocynaceae, Ochnaceae, Polygonaceae and Vitaceae) was screened for cytotoxicity in cultured Vero cells and for antiviral activity against human herpes virus type 1 (HSV-1), vaccinia virus (VACV) and murine encephalomyocarditis virus (EMCV). The highest cytotoxicity (CC 50 < 10 μg/mL) was observed for the ethanol extracts from Annona coriacea fruits and seeds. Extracts from Hancornia speciosa, Ouratea castaneafolia and O. semisrrata were the only ones that have shown activity against all the three viruses assayed. Extracts from Polygonum spectabile, Hancornia speciosa, Himatanthus phagedaenica, Ouratea spectabilis and O. semiserrata were the most active against HSV-1 (EC 50 < 50 mg/mL), with favorable SI values (8.0 to 10.0). Hancornia speciosa and Anaxagorea dolichocarpa were the most active against EMCV (EC 50 50 - 100 μg/mL), with reasonable SI values (5.2 to 6.1), while moderate to low activity (EC 50 > 100 μg/mL) was observed for Ouratea spectabilis and O. semiserrata. A total of 7 plant species, Ouratea semiserrata, O. spectabilis, O. castanaeafolia, Rollinia laurifolia, Cissus erosa, Polygonum spectabile, and Hancornia speciosa, were active against VACV, disclosing EC50 < 50 μg/mL and SI values ranging from 6.6 to 67.3. In total, 10 out of the 14 species were selected from a literature survey on plants used to treat viral diseases in Brazil; these species were responsible for 70% of the positive results.