Multiple types of data are required to identify the mechanisms influencing the spatial expansion of melanoma cell colonies

Background The expansion of cell colonies is driven by a delicate balance of several mechanisms including cell motility, cell-to-cell adhesion and cell proliferation. New approaches that can be used to independently identify and quantify the role of each mechanism will help us understand how each mechanism contributes to the expansion process. Standard mathematical modelling approaches to describe such cell colony expansion typically neglect cell-to-cell adhesion, despite the fact that cell-to-cell adhesion is thought to play an important role. Results We use a combined experimental and mathematical modelling approach to determine the cell diffusivity, D, cell-to-cell adhesion strength, q, and cell proliferation rate, ?, in an expanding colony of MM127 melanoma cells. Using a circular barrier assay, we extract several types of experimental data and use a mathematical model to independently estimate D, q and ?. In our first set of experiments, we suppress cell proliferation and analyse three different types of data to estimate D and q. We find that standard types of data, such as the area enclosed by the leading edge of the expanding colony and more detailed cell density profiles throughout the expanding colony, does not provide sufficient information to uniquely identify D and q. We find that additional data relating to the degree of cell-to-cell clustering is required to provide independent estimates of q, and in turn D. In our second set of experiments, where proliferation is not suppressed, we use data describing temporal changes in cell density to determine the cell proliferation rate. In summary, we find that our experiments are best described using the range D = 161 - 243 ?m2 hour-1, q = 0.3 - 0.5 (low to moderate strength) and ? = 0.0305 - 0.0398 hour-1, and with these parameters we can accurately predict the temporal variations in the spatial extent and cell density profile throughout the expanding melanoma cell colony. Conclusions Our systematic approach to identify the cell diffusivity, cell-to-cell adhesion strength and cell proliferation rate highlights the importance of integrating multiple types of data to accurately quantify the factors influencing the spatial expansion of melanoma cell colonies.

Penal Colonies

Prostitution has been closely associated with the transportation of women convicts to British penal colonies. Convict labor was used to found a number of British colonies including Barbados, Jamaica, Maryland, Virginia, Singapore, New South Wales, Tasmania, and Western Australia. Between 1607 and 1939, Britain transported approximately 400,000 convicts, 162,000 of whom came to Australia and about 50,000 to North America. Significant numbers of women were among those transported to the Australian and North American colonies, although their numbers were relatively small in comparison to male convicts. Transportation was typically reserved for the most recalcitrant of female offenders. Most women transported came from working-class populations, resided in metropolitan centers, and were single at the time of their offense. Although few of these women were actually sentenced for activities associated with prostitution, large numbers had a history of involvement with prostitution. Transportation was considered to offer prostitutes a chance at redemption, with colonial commentators drawing contrasts between the Old World and its vice-ridden sensuality and the colonies, which offered opportunities for redemption through religious devotion and hard work. Many women transported to the Australian colonies were described by officials as being "on the town" at their time of apprehension and were collectively considered to be "damned whores, possessed of neither virtue nor honesty". Recently, historians have argued that these assessments were emblematic of middle-class prejudices toward the open and aggressive sexuality of working-class women. The number of convict women involved in prostitution may have been higher than recorded crimes, typically involving "larceny", suggest. A number of women were charged with theft from men who had paid them (or, in some instances, refused to pay them) for sex. Historians have estimated that one in five convict women were part-time or full-time prostitutes before transportation. Many continued in prostitution after transportation, with prostitution becoming an important element in the social and economic life of the Australian colonies, where, between 1788-1830, men outnumbered women six to one. Officially, prostitution was tolerated to dissuade men from vice. For women, prostitution presented a means of securing physical protection and accommodation at a time when general amenities and employment opportunities were restricted.