ABSTRACT
We developed a mathematical model to simulate dynamics associated with the proliferation of Geobacter and ultimately optimize cellular operation by analyzing the interaction of its components. The model comprises two segments: an initial part comprising a logistic form and a subsequent segment that incorporates acetate oxidation as a saturation term for the microbial nutrient medium. Given that four parameters can be obtained by minimizing the square root of the mean square error between experimental Geobacter growth and the mathematical model, the model underscores the importance of incorporating nonlinear terms. The determined parameter values closely align with experimental data, providing insights into the mechanisms that govern Geobacter proliferation. Furthermore, the model has been transformed into a scaleless equation with only two parameters to simplify the exploration of qualitative properties. This allowed us to conduct stability analysis of the fixed point and construct a co-dimension two bifurcation diagram.
Subject(s)
Acetates , Computer Simulation , Geobacter , Models, Biological , Oxidation-Reduction , Geobacter/growth & development , Geobacter/metabolism , Acetates/metabolism , AlgorithmsABSTRACT
The current standard treatment for placenta accreta is a hysterectomy, which carries a significant risk of hemorrhage. Although prophylactic uterine artery embolization (UAE) is established as an effective means of minimizing perioperative bleeding, there are few reports of its use early in pregnancy with invasive placenta. A 45-year-old woman, gravida 6, para 1, at 11 weeks of gestation presented with heavy, painless uterine bleeding and was diagnosed with a spontaneous abortion complicated by cervical pregnancy and placenta accreta. The patient underwent bilateral UAE followed by gravid hysterectomy. This case report encourages prophylactic UAE prior to abdominal hysterectomy in patients with early gestational cervical pregnancy and placenta accreta to minimize blood loss during surgery.
