Abstract
Periodic processes are an indispensable part of biological phenomena. Circadian rhythms, heart rhythms, neuronal oscillations, cell cycle, and cytoskeletal structures such as the axonemes of cilia are all examples of systems exhibiting oscillatory dynamics. The underlying mechanisms of several such processes can be explained by understanding the origins of these oscillations and characterizing them. One particular example is the follicle cell basal surface area oscillations observed in Drosophila egg chamber during oogenesis. It has been suggested that these oscillations restrict the egg chamber width, and thus help in elongation of the tissue. In this work, we attempt to model these oscillations in follicle cell length using a mechano-chemical model. Our model predicts an increase in oscillation period, upon removal of the basement membrane, which has been observed experimentally upon collagenase treatment of the egg chamber. The model also predicts an inverse relationship of maximum contractile force and oscillation period.
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