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Computer Simulation of Protein-Protein Association in Photosynthesis

I.B. Kovalenko, A.M. Abaturova, A.N. Diakonova, O.S. Knyazeva, D.M. Ustinin, S.S. Khruschev, G.Yu. Riznichenko, A.B. Rubin (2011)

Mathematical Modelling of Natural Phenomena

The paper is devoted to the method of computer simulation of protein interactions taking part in photosynthetic electron transport reactions. Using this method we have studied kinetic characteristics of protein-protein complex formation for four pairs of proteins involved in photosynthesis at a variety of ionic strength values. Computer simulations describe non-monotonic dependences of complex formation rates on the ionic strength as the result of...

Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit

Benoît Perthame, Stephane Génieys (2010)

Mathematical Modelling of Natural Phenomena

The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence analytically...

Conditional differential equations

Celina Rom (2016)

Applicationes Mathematicae

We introduce and study conditional differential equations, a kind of random differential equations. We give necessary and sufficient conditions for the existence of a solution of such an equation. We apply our main result to a Malthus type model.

Contributi delle Scienze Matematiche ed Informatiche al sequenziamento genomico su larga scala

Raffaele Giancarlo, Sabrina Mantaci (2001)

Bollettino dell'Unione Matematica Italiana

Nel panorama della scienza contemporanea, la biologia molecolare ha recentemente assunto un ruolo di fondamentale importanza. Il bisognocrescente di conoscere intere sequenze genomiche e l’esigenza, ancora piùpressante, di analizzare e confrontare tali sequenze per poter dedurre funzionalità e discendenze comuni, ha reso necessaria l’integrazione delleusuali tecniche sperimentali, proprie della ricerca biologica, con le metodologie formali della matematica e dell’informatica. Queste motivazioni...

Convergence analysis for principal component flows

Shintaro Yoshizawa, Uwe Helmke, Konstantin Starkov (2001)

International Journal of Applied Mathematics and Computer Science

A common framework for analyzing the global convergence of several flows for principal component analysis is developed. It is shown that flows proposed by Brockett, Oja, Xu and others are all gradient flows and the global convergence of these flows to single equilibrium points is established. The signature of the Hessian at each critical point is determined.

Currently displaying 441 – 460 of 1854