Positive solutions of a renewal equation
An existence theorem is proved for the scalar convolution type integral equation .
Positive solutions of nonlinear delay integral equations modelling epidemics and population growth.
Possible relationship existing in the distribution of electrolyte between the soap and the lye.
Possibly Longest Food Chain: Analysis of a Mathematical Model
We consider the number of trophic levels in a food chain given by the equilibrium state for a simple mathematical model with ordinary differential equations which govern the temporal variation of the energy reserve in each trophic level. When a new trophic level invades over the top of the chain, the chain could lengthen by one trophic level. We can derive the condition that such lengthening could occur, and prove that the possibly longest chain is globally stable. In some specific cases,...
Poznámky k výběru proměnných pro vlastní model nervové buňky
Poznámky ke koncepci biologické autoorganizace
Practical persistence for differential delay models of population interactions.
Pravděpodobnost vymření kontinuální kultivace
Pravděpodobnostní model spontánní vzruchové aktivity neuronu
Precise spectral asymptotics for nonautonomous logistic equations of population dynamics in a ball.
Preface. Distributed Parameter Systems in Immunology
Pre-symptomatic Influenza Transmission, Surveillance, and School Closings: Implications for Novel Influenza A (H1N1)
Early studies of the novel swine-origin 2009 influenza A (H1N1) epidemic indicate clinical attack rates in children much higher than in adults. Non-medical interventions such as school closings are constrained by their large socio-economic costs. Here we develop a mathematical model to ascertain the roles of pre-symptomatic influenza transmission as well as symptoms surveillance of children to assess the utility of school closures. Our model analysis...
Prevalence of aquatic insects and arsenic concentration determine the geographical distribution of mycobacterium ulcerans infection.
Principal concepts of systems fuzzification. Fuzzification of systems for technical and medical practice. I
Principle of Minimax and Rise Phyllotaxis (Mechanistic Phyllotaxis Model)
Probabilistic interpretation and random walk on spheres algorithms for the Poisson-Boltzmann equation in molecular dynamics
Motivated by the development of efficient Monte Carlo methods for PDE models in molecular dynamics, we establish a new probabilistic interpretation of a family of divergence form operators with discontinuous coefficients at the interface of two open subsets of . This family of operators includes the case of the linearized Poisson-Boltzmann equation used to compute the electrostatic free energy of a molecule. More precisely, we explicitly construct a Markov process whose infinitesimal generator...
Problem poser – how to interpret divergent prognostic evidence of simultaneously measured tumor markers?
Problems with classical models of sex-ratio evolution
The classical theory of the sex-ratio evolution, known as the sex-ratio game, is based on the maximization of the number of grandchildren, treated as a fitness measure of a female producing offspring of the sex ratio that is coded in her genes. The theory predicts that it is more profitable to produce offspring with less numerous sex. We can find in the literature mutually exclusive conclusions based on this prediction: some textbooks say that populations with the equal number of sons and daughters...
Proč má DNA tři terminační triplety a jen jeden iniciační?
Progress in developing Poisson-Boltzmann equation solvers
This review outlines the recent progress made in developing more accurate and efficient solutions to model electrostatics in systems comprised of bio-macromolecules and nanoobjects, the last one referring to objects that do not have biological function themselves but nowadays are frequently used in biophysical and medical approaches in conjunction with bio-macromolecules. The problem of modeling macromolecular electrostatics is reviewed from two different angles: as a mathematical task provided...