Biomedical subjects

Jianhong Ke

Publications and source records attributed to Jianhong Ke.

9 recordsLinked to original sources

PubMed2006

Mutually catalyzed birth of population and assets in exchange-driven growth.

We propose an exchange-driven aggregation growth model of population and assets with mutually catalyzed birth to study the interaction between the population and assets in their exchange-driven processes. In this model, monomer (or equivalently, individual) exchange occurs between any pair of aggregates of the same species (population or assets). The rate kernels of the exchanges of population and assets are K(k,l) = Kkl and L(k,l) = Lkl , respectively, at which one monomer migrates from an aggregate of size k to another of size l. Meanwhile, an aggregate of one species can yield a new monomer by the catalysis of an arbitrary aggregate of the other species. The rate kernel of asset-catalyzed population birth is I(k,l) = Iklmu [and that of population-catalyzed asset birth is J(k,l) = Jklnu], at which an aggregate of size k gains a monomer birth when it meets a catalyst aggregate of size l . The kinetic behaviors of the population and asset aggregates are solved based on the rate equations. The evolution of the aggregate size distributions of population and assets is found to fall into one of three categories for different parameters mu and nu: (i) population (asset) aggregates evolve according to the conventional scaling form in the case of mu < or = 0 (nu < or = 0), (ii) population (asset) aggregates evolve according to a modified scaling form in the case of nu = 0 and mu > 0 (mu = 0 and nu > 0 ), and (iii) both population and asset aggregates undergo gelation transitions at a finite time in the case of mu = nu > 0.

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PubMed2006

Migration-driven aggregate growth on scale-free networks.

We study the kinetics of migration-driven aggregate growth on completely connected scale-free networks. A reversible migration system is considered with the size-dependent rate kernel K(k; l/i;j) approximately k(u)i(v)(lj)(v), at which an i-mer aggregate located on the node with j links gains one monomer from a k-mer aggregate on the node with l links. The results show that the evolution behavior of the aggregate size distribution is drastically different from that for the corresponding same system in normal space. This model can be used to mimic some phenomena such as the distribution of city populations. Moreover, we verify our analytic results in good agreement with the data of the population distributions of all U.S. counties.

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PubMed2004

Scale-free multicomponent growing networks.

We propose a multicomponent growing network model which consists of many types of nodes as well as links only between the nodes of different types. Such a multicomponent network is constructed by (i) introducing a new node of one type and immediately linking it to a preexisting node of the other type, and (ii) creating a new link between two nodes of different types. We then investigate the connectivity of the multicomponent growing networks by means of the rate equations. For a network system with shifted or asymptotically linear connection rate kernels, the degree distributions take scale-free power-law forms, while a random growing network has exponential degree distributions.

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PubMed2003

Solvable aggregation model with monomer annihilation.

We propose a simple model in which irreversible aggregations occur between any two clusters of the same species and monomer annihilations occur between any two clusters of different species. We investigate the mean-field rate equation to analyze kinetics of the system under symmetrical initial conditions. In the constant-reaction-rate case, the cluster-mass distribution of either species approaches a conventional scaling form and both species survive finally; while for the system with a fast rate kernel, both species scale according to a modified form and no species can survive at the end.

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PubMed2003

Kinetics of a migration-driven aggregation process with birth and death.

We propose an irreversible aggregation model driven by migration and birth-death processes with the symmetric migration rate kernel K(k;j)=K'(k;j)=Ikj(upsilon), and the birth rate J(1)k and death rate J(2)k proportional to the aggregate's size k. Based on the mean-field theory, we investigate the evolution behavior of the system through developing the scaling theory. The total mass M1 is reserved in the J(1)=J(2) case and increases exponentially with time in the J1>J2 case. In these cases, the long-time asymptotic behavior of the aggregate size distribution a(k)(t) always obeys the scaling law for the upsilon<or=2 case. This model may provide a more natural description for diverse aggregation processes such as the evolution of the distribution of city population and individual wealth.

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PubMed2002

Kinetics of the catalysis-driven aggregation processes.

We study a catalysis-driven aggregation model in which irreversible growth of A aggregates occurs only with the help of the catalyst. The results show that kinetics of the system depends strongly on whether the catalyst coagulates by itself or not. The mass distribution of A clusters obeys a conventional scaling law in the case without self-coagulation of the catalyst, while for the reverse case the evolution of the system falls in a peculiar scaling regime. Our theory applies to diverse phenomena such as the cluster-size distribution in a chemical system.

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PubMed2002

Kinetics of migration-driven aggregation processes.

We study the kinetic behavior of the growth of aggregates driven by reversible migration between any two aggregates. For the simple system with the migration rate kernel K(k;j)=K(')(k;j) proportional, variant kj(upsilon) at which the monomers migrate between the aggregates of size k and those of size j, we find that for the upsilon< or =2 case the evolution of the system always obeys a scaling law. Moreover, the typical aggregate size grows as exp(2IA(0)t) in the case of upsilon=2 and as t(1/(2-upsilon)) in the case of -1<upsilon<2. In particular, when upsilon< or =-2, the typical aggregate size always grows as t(1/3) and the aggregate-size distribution approaches a similar scaling form.

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PubMed2002

Solvable n-species aggregation processes with joint annihilation.

We study the kinetic behavior of the aggregation-annihilation processes of an n-species (n> or =3) system, in which an irreversible aggregation reaction occurs between any two clusters of the same species and an irreversible complete annihilation reaction occurs only between one certain A(n) species and each of the other A(m) species (m=1,2,...n-1). Based on the mean-field theory, we investigate the rate equations of the processes to obtain the asymptotic solutions of the cluster-mass distributions in several different cases. The results show that the evolution behavior of the system depends crucially on the ratios of the equivalent aggregation rate of A(m) species and the aggregation rate of A(n) species to the annihilation rate. The cluster-mass distribution of each species always obeys a conventional scaling law or a modified one, and the scaling exponents depend only on the reaction rates for most cases. However, when both the equivalent aggregation rate of A(m) species and the aggregation rate of A(n) species are twice as large as the annihilation rate, the scaling exponents depend on the reaction rates as well as the initial concentrations.

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PubMed2002

Kinetic behavior of aggregation processes with complete annihilation.

The kinetic behavior of an aggregation-annihilation process of an n-species (n> or =2) system is studied. In this model, an irreversible aggregation reaction occurs between any two clusters of the same species and an irreversible complete annihilation reaction occurs between any two different species. Based on the mean-field theory, we investigate the rate equations of the process with constant reaction rates to obtain the asymptotic solutions for the cluster-mass distributions. We find that the cluster-mass distribution of each species satisfies a modified scaling law, which reduces to the standard scaling law in some special cases. The scaling exponents of the system may strongly depend on the reaction rates for most cases; however, for the case with all the aggregation rates twice the annihilation rate, these exponents depend only on the initial concentrations. All the species annihilate each other completely except in the case in which at least one aggregation rate is less than twice the annihilation rate.

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