We use the theory of adaptive dynamics to construct and analyse a generic example of cycling evolution with alternating levels of polymorphism. A monomorphic population evolves towards larger trait values until it reaches a so-called evolutionary branching point. Disruptive selection at the branching point splits the population into two strategies. In the dimorphic population the strategies und...

Previous studies of branching structures generally focused on arteries. Four cost models minimizing total surface area, total volume, total drag and total power losses at a junction point have been proposed to study branching structures. In this paper, we highlight the branching structures of plants and examine which model fits data of branching structures of plants the best. Though the effect ...

Abstract Branching-stable processes have recently appeared as counterparts of stable subordinators, when addition real variables is replaced by branching mechanisms for point processes. Here we are interested in their domains attraction and describe explicit conditions a random walk to converge after proper magnification branching-stable process. This contrasts with deep results obtained during...

We define complex projective n-space CP as C \ {0} under the equivalence relation (z0 : z1 : ... : zn) ∼ (cz0 : cz1 : ... : czn) where c ∈ C\{0}. A complex projective curve is then the set of points (a0 : a1 : ... : an) ∈ CP such that p(a0, a1, ..., an) = 0 for a fixed complex homogeneous polynomial p(z0, z1, ..., zn). Such a curve is a 2-dimensional, real, orientable Riemannian manifold, or Ri...

An experimental method to determine the (n,γ) cross section of short-living s-process branching points using data of the inverse (γ ,n) reaction is presented. The method was used to observe the branching point nucleus 95Zr because the elemental abundance patterns corresponding to this branching point cannot be reproduced by full stellar models and a possible error source is the neutron capture ...

Introduction As a tumor grows, the demand for oxygen and nutrients increases and it grows further if acquires the ability to induce angiogenesis. In this study, we aimed to present a two-dimensional continuous mathematical model for avascular tumor growth, coupled with a discrete model of angiogenesis. Materials and Methods In the avascular growth model, tumor is considered as a single mass, wh...