APPLICATION OF ALLEE EFFECT IN CANCER TREATMENT

Hoàng Mai Hương1,, Bùi Thị Hồng Nhung2, Lê Minh Đạt3
1 Hanoi Medical University
2 Banking Academy of Vietnam
3 Vietnam National University, Hanoi

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Abstract

The Allee effect describes a scenario in which populations at low numbers are influenced by a positive relationship between growth rate and population density, which increases their likelihood of extinction. The importance of this process in ecology has been underestimated, and recent evidence suggests that it may have an impact on the population dynamics of many plant and animal species. Studies of the causal mechanisms that produce the Allee effect in populations may provide the key to understanding population dynamics. Currently, most cancer models assume that tumor cell populations, at low densities, grow exponentially to eventually be limited by the number of available resources such as space and substance. nutrition. However, recent preclinical and clinical data on the onset or recurrence of cancer suggest the presence of population dynamics, in which the growth rate increases with cell number. Such an effect is similar to the cooperative behavior in an ecosystem described by the Allee effect. In this paper, we model the Allee effect on cancer growth through the properties of the dynamical model to study the growth of the population of cancer cells from which to select. more appropriate therapies.

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