Mathematical modeling of cardiac growth and remodeling
نویسندگان
چکیده
منابع مشابه
Mathematical Modeling of the Temperature-Dependent Growth of Living Systems
In this investigation a non-equilibrium thermodynamic model of the temperature dependent biological growth of a living systems has been analyzed. The results are derived on the basis of Gompertzian growth equation. In this model, we have considered the temperature dependent growth rate and development parameter. The non-equilibrium thermodynamic model is also considered for exploring the variat...
متن کاملMathematical modeling of tumor growth and treatment.
Using mathematical models to simulate dynamic biological processes has a long history. Over the past couple of decades or so, quantitative approaches have also made their way into cancer research. An increasing number of mathematical, physical, computational and engineering techniques have been applied to various aspects of tumor growth, with the ultimate goal of understanding the response of t...
متن کاملMathematical Biomedicine and Modeling Avascular Tumor Growth
In this chapter we review existing continuum models of avascular tumor growth, explaining how they are inter-related and the biophysical insight that they provide. The models range in complexity and include one-dimensional studies of radiallysymmetric growth, and two-dimensional models of tumor invasion in which the tumor is assumed to comprise a single population of cells. We also present more...
متن کاملMathematical modeling of volumetric material growth
The model of volumetric material growth is introduced in the framework of finite elasticity. The new results obtained for the model are presented with complete proofs. The state variables include the deformations, temperature and the transplant matrix function. The wellposedness of the proposed model is shown. The existence of local in time classical solutions for the quasistatic deformations b...
متن کاملMathematical Modeling of Thrombus Growth Phenomenological Models
Phenomenological mathematical model of laser-induced thrombi growth is developed on the basis of Bogolubov’s hierarchy of time scales. The stochastic character of thrombi growth is revealed in the model by explicit introduction of the probability function. The main foundations of the model correspond to the basic experimental results concerning thrombus formation obtained in recent years. The m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Wiley Interdisciplinary Reviews: Systems Biology and Medicine
سال: 2016
ISSN: 1939-5094
DOI: 10.1002/wsbm.1330