Results 21 to 30 of about 884 (117)
A mathematical model of systemic inhibition of angiogenesis in metastatic development [PDF]
, 2013 We present a mathematical model describing the time development of a population of tumors subject to mutual angiogenic inhibitory signaling. Based on biophysical derivations, it describes organism-scale population dynamics under the influence of three ...
Benzekry, Sebastien +2 more
core +4 more sources
Nonlinear optimization for a tumor invasion PDE model [PDF]
, 2016 In this work, we introduce a methodology to approximate unknown parameters that appear on a non-linear reaction–diffusion model of tumor invasion. These equations consider that tumor-induced alteration of micro-environmental pH furnishes a mechanism for ...
Fernández Ferreyra, Damián Roberto +3 more
core +1 more source
, 2015 A biphase mixture continuum mechanics model is derived for neutral heat- shrinkable thermo-sensitive hydrogels in this paper. The mixing free energy of the special mixture is recalculated based on the partition function of Bose system, and it evaluates ...
Qiujin Peng, Hui Zhang, Zhengru Zhang
semanticscholar +1 more source
Inverse problem for a physiologically structured population model with variable-effort harvesting
Open Mathematics, 2017 We consider the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be ...
Andrusyak Ruslan V.
doaj +1 more source
A PDE approach of inflammatory phase dynamics in diabetic wounds
, 2014 The objective of the present paper is the modeling and analysis of the dynamics of macrophages and certain growth factors in the inammatory phase, the rst one of the wound healing process.
N. Cónsul, S. Oliva, M. Pellicer
semanticscholar +1 more source
Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data
, 2015 A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
core +1 more source
On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models [PDF]
, 2017 We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter acting on growth and fragmentation. To this aim, we use the probabilistic individual-based interpretation of the model. We
Campillo, Fabien +2 more
core +5 more sources
Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients
, 2012 An algebraic Newton-multigrid method is proposed in order to efficiently solve systems of nonlinear reaction-diffusion problems with stochastic coefficients. These problems model the conversion of starch into sugars in growing apples.
Eveline Rosseel +2 more
semanticscholar +1 more source
On Kinetic Equations Modeling Evolution of Systems in Mathematical Biology
, 2013 We develop a rigorous formalism for the description of the kinetic evolution of interacting entities modeling systems in mathematical biology within the framework of the evolution of marginal observables.
Fedchun, Yu. Yu., Gerasimenko, V. I.
core +1 more source