MATHEMATICAL MODELING OF DYNAMICS OF POST-RESECTION LIVER REGENERATION BY NONLINEAR APPROXIMATION
A mathematical model of the dynamics of liver mass after its partial anatomical resection in a volume of 67% of the initial mass in a rat experiment using the method of G. Higgins and R. Anderson was proposed, constructed through an approximation to the square root equation by the least squares method. The accuracy of the model is confirmed by low mean approximation errors: 14.6% and 9.6% for simple resection and for resection with intraoperative microtraumatic application to the liver parenchyma, respectively. The proposed model has potential applications as a standard for evaluating liver regeneration after resections in the clinic. A universal evaluation criterion of the intensity of the regenerative process is proposed - the regeneration factor.