SELECTION WITH GENE-CYTOPLASM INTERACTIONS. I. MAINTENANCE OF CYTOPLASM POLYMORPHISMS

Genetics ◽  
1984 ◽  
Vol 107 (1) ◽  
pp. 165-178
Author(s):  
H R Gregorius ◽  
M D Ross
Keyword(s):  
Numerical Results ◽  
Selection Model ◽  
Female Fertility ◽  
Cyclic Behavior ◽  
Viability Selection ◽  
Analytical Results ◽  
Cytoplasm Type ◽  
Nuclear Polymorphism ◽  
Male To Female ◽  
General Conditions

ABSTRACT General conditions for the protectedness of gene-cytoplasm polymorphisms are considered for a biallelic model with two cytoplasm types and under the assumption that nuclear polymorphisms cannot be maintained in the presence of only one cytoplasm type. Analytical results involving male fertilities, female fertilities, viabilities and selfing rates are obtained, and numerical results show spiral and cyclic behavior of population trajectories. It is shown that a maternally inherited cytoplasmic polymorphism cannot be maintained in the absence of a nuclear polymorphism, and that a gene-cytoplasm polymorphism can only be maintained if the population shows sexual asymmetry, i.e., if the ratio of male to female fertility varies among genotypes. Thus, the classical viability selection model does not allow gene-cytoplasm polymorphisms.

scholarly journals MODELING KENYA’S DOMESTIC RADICALIZATION LIKE A DISEASE BY INCORPORATING EFFORTS OF CLERGIES, REHABILITATION CENTERS AND JUSTICE SYSTEM

2017 ◽  
Keyword(s):  
Sensitivity Analysis ◽  
Legal System ◽  
Justice System ◽  
Deterministic Model ◽  
Reproduction Number ◽  
Equilibrium Points ◽  
Intervention Strategy ◽  
Numerical Results ◽  
Rehabilitation Centers ◽  
Analytical Results

This study presents a deterministic model for domestic radicalization process in Kenya and uses the model to assess the effect of efforts of good clergies, rehabilitation centers and legal system in lowering radicalization burden. The likelihood of other drivers of radicalization to individuals who are not religious fanatics was considered. The possibility of individuals in rehabilitated subclass quitting back to violent class was considered. The equilibrium points were computed, their stabilities investigated and important thresholds determining the progression of the radicalization computed. The sensitivity analysis of control reproduction number indicates that high intervention rates hold is likely to reduce the radicalization burden. The results indicate that use of good clergies to assist individuals’ radicalized but peaceful, to recover is the best intervention strategy. Estimated numerical results and simulations were carried to confirm analytical results.

A Large Rotation Matrix for Nonlinear Framed Structures, Part 2: Numerical Verification

2014 ◽  
Vol 1065-1069 ◽  
pp. 2034-2039
Author(s):  
Jin Duan ◽  
Yun Gui Li
Keyword(s):  
Cantilever Beam ◽  
Numerical Results ◽  
Rotation Matrix ◽  
Numerical Verification ◽  
Structural Stiffness ◽  
Pure Bending ◽  
Large Rotation ◽  
Framed Structures ◽  
Analytical Results ◽  
Good Agreement

In this paper, some numerical verifications would be presented and discussed, mainly including the following three types: (1) the pure bending beam in which the structural stiffness would maintain the original value and not change along with the load; (2) the clamped arc-beam in which the structural stiffness would decrease gradually with the increment of load and the structure would be buckling at some certain load value; and (3) the cantilever beam in which the structural stiffness would increase significantly with the increment of load. For all of the above examples, the present results are in good agreement with the analytical results and numerical results in other literatures, testifying and illustrating the validity of the large rotation matrix for nonlinear framed structure, which is developed in the part 1 of this paper.

ANALYSIS OF PION WEAK-PRODUCTION NEAR THRESHOLD BY MULTIPOLE AMPLITUDES

2009 ◽  
Vol 24 (11n13) ◽  
pp. 945-949
Author(s):  
MYUNG-KI CHEOUN ◽  
K. S. KIM
Keyword(s):  
Transition Amplitude ◽  
Numerical Results ◽  
Weak Current ◽  
Ward Identities ◽  
Analytical Results ◽  
Multipole Amplitudes ◽  
Near Threshold

By exploiting the chiral Ward identities based on the QCD Lagrangian for pion weak production, we derive a transition amplitude by the weak current and show analytical results of relevant multipole amplitudes without any expansion. Their physical implications and numerical results are also discussed.

Transonic Flow in Curved Channels

1967 ◽  
Vol 89 (4) ◽  
pp. 748-752 ◽  
Author(s):  
P. A. Thompson
Keyword(s):  
Transonic Flow ◽  
Approximate Calculation ◽  
Continuity Condition ◽  
Numerical Results ◽  
Two Dimensional ◽  
Curved Channels ◽  
Symmetric Channel ◽  
Analytical Results ◽  
Limiting Case

Transonic flow in a curved two-dimensional throat is considered. The approximate calculation is based on the full nonlinear inviscid equations and an integral continuity condition. Numerical results are presented in the form of curves which permit the determination of the flow in a nozzle of specified geometry. Analytical results reduce after linearization to those of Sauer for the limiting case of a symmetric channel.

scholarly journals Analytical solution for magnetized thin accretion disk in comparison with numerical simulations

2018 ◽  
Vol 14 (S346) ◽  
pp. 264-267
Author(s):  
Miljenko Čemeljić ◽  
Varadarajan Parthasarathy ◽  
Włodek Kluźniak
Keyword(s):  
Magnetic Field ◽  
Analytical Solution ◽  
Numerical Simulations ◽  
Accretion Disk ◽  
Asymptotic Approximation ◽  
Numerical Solutions ◽  
Analytical Results ◽  
Physical Quantities ◽  
General Conditions

AbstractWe obtained equations for a thin magnetic accretion disk, using the method of asymptotic approximation. They cannot be solved analytically-without solutions for a magnetic field in the magnetosphere between the star and the disk, only a set of general conditions on the solutions can be derived. To compare the analytical results with numerical solutions, we find expressions for physical quantities in the disk, using our results from resistive and viscous star-disk magnetospheric interaction simulations.

scholarly journals Effect of Kinesin-5 Tail Domain on Motor Dynamics for Antiparallel Microtubule Sliding

2021 ◽  
Vol 22 (15) ◽  
pp. 7857
Author(s):  
Yuying Liu ◽  
Yao Wang ◽  
Pengye Wang ◽  
Ping Xie
Keyword(s):  
Experimental Data ◽  
Molecular Mechanism ◽  
Chromosome Segregation ◽  
Numerical Results ◽  
Tail Domain ◽  
Analytical Results ◽  
Proposed Model ◽  
Motor Dynamics

Kinesin-5 motor consists of two pairs of heads and tail domains, which are situated at the opposite ends of a common stalk. The two pairs of heads can bind to two antiparallel microtubules (MTs) and move on the two MTs independently towards the plus ends, sliding apart the two MTs, which is responsible for chromosome segregation during mitosis. Prior experimental data showed that the tails of kinesin-5 Eg5 can modulate the dynamics of single motors and are critical for multiple motors to generate high steady forces to slide apart two antiparallel MTs. To understand the molecular mechanism of the tails modulating the ability of Eg5 motors, based on our proposed model the dynamics of the single Eg5 with the tails and that without the tails moving on single MTs is studied analytically and compared. Furthermore, the dynamics of antiparallel MT sliding by multiple Eg5 motors with the tails and that without the tails is studied numerically and compared. Both the analytical results for single motors and the numerical results for multiple motors are consistent with the available experimental data.

scholarly journals SINGULAR PERTURBATIONS FOR THE FORCED VAN DER POL OSCILLATOR

1993 ◽  
Vol 24 (4) ◽  
pp. 417-430
Author(s):  
E. M. ELABBASY
Keyword(s):  
Singular Perturbation ◽  
Singular Perturbations ◽  
Numerical Results ◽  
Van Der Pol Oscillator ◽  
Perturbation Techniques ◽  
Van Der Pol ◽  
Forcing Term ◽  
Subharmonic Solutions ◽  
Analytical Results ◽  
Range Of Values

This paper deals with the Van der Pol oscillator with large si­ nusoidal forcing term. By using singular perturbation techniques a.symp­ totic solutions of such a system are constructed. We considered the case $b$ small and then we find the range of values of $b$ for which the Van der Pol oscillatore may have 3 stable subharmonic solutions for the same values of the parameters. We have integrated the equation numerically; then a comparison of the numerical results obtained with analytical results of this paper is given.

scholarly journals The Risk-Adjusted Carbon Price

2021 ◽  
Vol 111 (9) ◽  
pp. 2782-2810
Author(s):  
Ton S. Van den Bremer ◽  
Frederick Van der Ploeg
Keyword(s):  
Perturbation Theory ◽  
Climate Sensitivity ◽  
Social Cost ◽  
Carbon Price ◽  
Numerical Results ◽  
Social Cost Of Carbon ◽  
Economic Risk ◽  
Present Value ◽  
Analytical Results ◽  
The Social

The social cost of carbon is the expected present value of damages from emitting one ton of carbon today. We use perturbation theory to derive an approximate tractable expression for this cost adjusted for climatic and economic risk. We allow for different aversion to risk and intertemporal fluctuations, skewness and dynamics in the risk distributions of climate sensitivity and the damage ratio, and correlated shocks. We identify prudence, insurance, and exposure effects, reproduce earlier analytical results, and offer analytical insights into numerical results on the effects of economic and damage ratio uncertainty and convex damages on the optimal carbon price. (JEL E12, G22, H23, O44, Q35, Q51, Q54)

Relaxation dynamics of Sierpinski hexagon fractal polymer: Exact analytical results in the Rouse-type approachand numerical results in the Zimm-type approach

2016 ◽  
Vol 145 (21) ◽  
pp. 214901 ◽  
Author(s):  
Aurel Jurjiu ◽  
Mircea Galiceanu ◽  
Alexandru Farcasanu ◽  
Liviu Chiriac ◽  
Flaviu Turcu
Keyword(s):  
Numerical Results ◽  
Relaxation Dynamics ◽  
Analytical Results

Shelves and the Korteweg-de Vries equation

1980 ◽  
Vol 98 (4) ◽  
pp. 803-818 ◽  
Author(s):  
C. J. Knickerbocker ◽  
Alan C. Newell
Keyword(s):  
Solitary Wave ◽  
Vries Equation ◽  
Numerical Results ◽  
Striking Feature ◽  
Numerical Studies ◽  
Analytical Results ◽  
De Vries

An extension of the analytical results of Kaup & Newell (1978) concerning the effect of a perturbation on a solitary wave of the Korteweg–de Vries equation is given and numerical studies are conducted to verify the conclusions. In all cases, the numerical results agree with the results predicted by the theory. The most striking feature of the perturbed flow is the presence of a shelf in the lee of the solitary wave whose role is to absorb (provide) the extra mass which is created (depleted) by the perturbation.

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