Mathematical models in percutaneous absorption

A number of mathematical models have been used to describe percutaneous absorption kinetics. In general, most of these models have used either diffusion-based or compartmental equations. The object of any mathematical model is to a) be able to represent the processes associated with absorption accurately, b) be able to describe/summarize experimental data with parametric equations or moments, and c) predict kinetics under varying conditions. However, in describing the processes involved, some developed models often suffer from being of too complex a form to be practically useful. In this chapter, we attempt to approach the issue of mathematical modeling in percutaneous absorption from four perspectives. These are to a) describe simple practical models, b) provide an overview of the more complex models, c) summarize some of the more important/useful models used to date, and d) examine sonic practical applications of the models. The range of processes involved in percutaneous absorption and considered in developing the mathematical models in this chapter is shown in Fig. 1. We initially address in vitro skin diffusion models and consider a) constant donor concentration and receptor conditions, b) the corresponding flux, donor, skin, and receptor amount-time profiles for solutions, and c) amount- and flux-time profiles when the donor phase is removed. More complex issues, such as finite-volume donor phase, finite-volume receptor phase, the presence of an efflux. rate constant at the membrane-receptor interphase, and two-layer diffusion, are then considered. We then look at specific models and issues concerned with a) release from topical products, b) use of compartmental models as alternatives to diffusion models, c) concentration-dependent absorption, d) modeling of skin metabolism, e) role of solute-skin-vehicle interactions, f) effects of vehicle loss, a) shunt transport, and h) in vivo diffusion, compartmental, physiological, and deconvolution models. We conclude by examining topics such as a) deep tissue penetration, b) pharmacodynamics, c) iontophoresis, d) sonophoresis, and e) pitfalls in modeling.

The co-segregation of psychosis and selected physical disorders within families of patients with psychosis versus well controls

While it has been reported that individuals with psychosis are at increased or decreased risk of various physical disorders such as cancer and rheumatoid arthritis, there has been less research on the co-segregation of physical disorders within the first-degree relatives of those with psychosis compared to relatives of well controls. The aim of this study was to examine these issues in an epidemiologically informed catchment-area based case-control study. Patients with psychosis were drawn from a prevalence study undertaken as part of the Australian National Mental Health Survey. In addition, we recruited well controls who resided in the same catchment area. For each subject, we drew pedigrees and used a structured checklist to assess the presence of selected psychiatric disorders, and selected disorders such as multiple sclerosis, epilepsy, spina bifida, thyroid disorders, diabetes, asthma and eczema. Data based on pedigrees from 293 individuals with psychosis and 292 well controls was available. As expected, the odds of havingschizophrenia and affective disorders were significantly increased in the families of cases versus controls. The odds of havingeczema were significantly reduced in the relatives of those with psychosis. All other disorders occurred with equal frequency in cases versus control pedigrees. Current theories of eczema suggest that an absence of early life exposure to antigens and infectious agents may fail to prime the na¨ıve immune system, and leave the person at increased risk of eczema. The results of this study suggest that genetic andror environmental factors that facilitate psychosis may protect against eczema. The Stanley Foundation supported this project.

Decreased perinatal sunshine duration is associated with increased non-affective but not affective psychosis birth rates

We have previously found an association between variations in schizophrenia birth rates and varyinglevels of perinatal sunshine duration. This study examines whether such an association can also be found for Ža. affective psychosis, and Žb. broadly defined nonaffective psychoses. Data for individuals born between 1931 and 1970 in Australia with ICD9 Other PsychosisŽ295–299.were obtained from the Queensland Mental Health Statistical System. ‘Affective psychosis’ included affective psychosis, schizo-affective psychosis, and depressive and excitative non-organic psychoses. ‘Non-affective psychosis’ included chizophrenia, paranoid disorders and other non-organic psychoses. Those receiving both affective and non-affective psychotic diagnoses were excluded. Rates per 10,000 live monthly general population births were calculated. For each month, we assessed the agreementŽusing the kappa statistic. between trends in Ža. birth rates and Žb. long-term trends in seasonally adjusted perinatal sunshine duration. The analyses were performed separately for males and females. There were 6265 with non-affective psychosis ŽMs3964 rate 66r10,000; Fs2299 44r10,000. and 2858 with affective psychosisŽMs1392 24r10,000; Fs1466 28r10,000.. There were no significant associations between Ža. affective psychosis birth rates for either males or females and Žb. sunshine duration. There was a significant association between nonaffective psychosis birth rates for males only and Žb. sunshine duration Žkappas0.15 p-0.001.. This suggests that, as a risk factor, the effect of reduced perinatal sunshine is specifically associated with males who develop non-affective psychosis. The Stanley Foundation supported this project.

No association between the deficit syndrome in psychosis and summer birth in the Southern Hemisphere

Recent studies have shown that individuals with schizophrenia who are born in summer have an increased odds of have deficit syndrome versus nondeficit syndrome. This study extends this work to examiningthis issue in patients from the Southern Hemisphere. Data which included OPCRITrSCAN items and demographic information was obtained for Australian-born cases from the Australian National Mental Health Survey. Followingpreviously published methods, cases were assigned to the deficit group Žns153.or non-deficit groupŽns228.. A logistic regression analysis was used to ascertain whether beingborn in summer ŽDecember, January, February.in the Southern Hemisphere altered the odds of havingdeficit syndrome. There was no association between summer birth and odds of havingdeficit versus non-deficit schizophrenia ŽOdds Ratios0.75, 95% CI 0.49–1.16.. Based on our previous work showingthat the size of the winterrspringbirth excess in schizophrenia is reduced in the Southern Hemisphere, we speculate that factors that influence the association between summer birth and non-deficit syndrome may also vary across geography andror latitude. The Stanley Foundation supported this project.

Finger and A-B ridge count, and fluctuating asymmetry in psychosis: A catchment area case-control study

Dermatoglyphic measures are of interest to schizophrenia research because they serve as persistent markers of deviant development in foetal life. Several studies have reported alterations in A–B ridge counts, total finger ridge counts and measures related to asymmetry in schizophrenia. The aim of this study was to assess these measures in an Australian catchment area, case-control study. Individuals with psychosisŽns246.were drawn from a catchment-area prevalence study, and well controlsŽns229. were recruited from the same area. Finger and palm prints were taken usingan inkless technique and all dermatoglyphic measures were assessed by a trained rater blind to case status. The dermatoglyphic measures Žfinger ridge count, A–B ridge count, and their derived asymmetry measures. were divided into quartiles based on the distribution of these variables in controls. The main analysis Žlogistic regression controlled for age and sex.examined all psychotic disorders, with planned subgroup analyses comparing controls with Ž1. nonaffective psychosis Žschizophrenia, delusional disorder, schizophreniform psychosis, atypical psychosis.andŽ2. affective psychosis Ždepression with psychosis, bipolar disorder, schizoaffective psychosis.. There were no statistically significant alterations in the odds of havinga psychotic disorder for any of the dermatoglyphic measures. The results did not change when we examined affective and nonaffective psychosis separately. The dermatoglyphic features that distinguish schizophreniar psychosis in other studies were not identified in this Australian study. Regional variations in these findings may provide clues to differential ethnicrgenetic and environmental factors that are associated with schizophrenia. The Stanley Foundation supported this project.

Paternal age as a risk factor for psychosis and schizophrenia: Findings from Denmark, Sweden and Australia

The offspringof older fathers have an increased risk of various disorders that may be due to the accumulation of DNA mutations during spermatogenesis. Previous studies have suggested increased paternal age may be a risk factor for schizophrenia. The aim of the current study was to examine paternal age as a risk factor for schizophrenia andror psychosis. We used data from three sources: a population-based cohort studyŽDenmark., and two case-control studiesŽSweden and Australia.. In the Danish and Australian studies, we examined both psychosis and schizophrenia. In the Swedish study we examined psychosis only. After controllingfor the effect of maternal age, increased paternal age was significantly associated with increased risk of both psychosis and schizophrenia in the Danish study and of psychosis in the Swedish study. The Australian study found no association between paternal age and risk of psychosis or schizophrenia. In all three studies the relationship between paternal age and risk of disorder in the offspring was AUB-shaped. In addition to an increased risk for the offspringof older father Ž)35 years., there was a non-significant increase for the offspringof fathers aged less than 20 years. The possible role of paternally derived DNA mutations andror other psychosocial factors associated with older paternal age warrants further research. The ‘U’-shaped relationship suggests that factors other than DNA mutations may warrant consideration in this research. The Stanley Foundation supported this project.