N. Kiani - Academia.edu (original) (raw)

Papers by N. Kiani

Soft Computing, 2014

In this paper, the Laplace transform formula on the fuzzy nth-order derivative by using the stron... more In this paper, the Laplace transform formula on the fuzzy nth-order derivative by using the strongly generalized differentiability concept is investigated. Also, the related theorems and properties are proved in detail and, it is used in an analytic method for fuzzy two order differential equation. The method is illustrated by solving some examples.

Information Sciences, 2009

In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformatio... more In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformation method(DTM). Intrinsically, DTM evaluates the approximating solution by the finite Taylor series. The differential transformation method does not evaluate the derivative symbolically; instead, it calculates the relative derivatives by an iteration procedure described by the transformed equations obtained from the original equations using differential transformation. The proposed method provides the Taylors series expansion solution for the domain between any adjacent grid points. Some numerical examples are given to illustrated the proposed extension of DTM to solve fuzzy Fredholm integral equations.

Information Sciences, 2009

In this paper the existence and uniqueness of solutions for second-order fuzzy differential equat... more In this paper the existence and uniqueness of solutions for second-order fuzzy differential equations with initial conditions under generalized H-differentiability is proved. To this end, the concept of second-order generalized differential equation is defined, which is based on an enlargement of the class of differentiable fuzzy mappings.

In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformatio... more In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformation method(DTM). Intrinsically, DTM evaluates the approximating solution by the finite Taylor series. The differential transformation method does not evaluate the derivative symbolically; instead, it calculates the relative derivatives by an iteration procedure described by the transformed equations obtained from the original equations using differential transformation.

The Journal of biological chemistry, Jan 5, 2011

RIG-I is a major innate immune sensor for viral infection, triggering an interferon (IFN)-mediate... more RIG-I is a major innate immune sensor for viral infection, triggering an interferon (IFN)-mediated antiviral response upon cytosolic detection of viral RNA. Double-strandedness and 5'-terminal triphosphates were identified as motifs required to elicit optimal immunological signaling. However, very little is known about the response dynamics of the RIG-I pathway, which is crucial for the ability of the cell to react to diverse classes of viral RNA while maintaining self-tolerance. In the present study, we addressed the molecular mechanism of RIG-I signal detection and its translation into pathway activation. By employing highly quantitative methods, we could establish the length of the double-stranded RNA (dsRNA) to be the most critical determinant of response strength. Size exclusion chromatography and direct visualization in scanning force microscopy suggested that this was due to cooperative oligomerization of RIG-I along dsRNA. The initiation efficiency of this oligomerizati...

Computational Mathematics and Modeling, 2008

In this paper, a fully fuzzy linear system (FFLS) is considered. By defuzzifying, the (n × n) FFL... more In this paper, a fully fuzzy linear system (FFLS) is considered. By defuzzifying, the (n × n) FFLS can be replaced by three (n × n) crisp linear systems, and consequently its homomorphic solution in canonical trapezoidal form based on three (n × n) crisp linear solutions associated with three parameters, value, ambiguity, and fuzziness, is calculated.

Multiple Sclerosis Journal, 2014

The pathogenesis of multiple sclerosis (MS) involves alterations to multiple pathways and process... more The pathogenesis of multiple sclerosis (MS) involves alterations to multiple pathways and processes, which represent a significant challenge for developing more-effective therapies. Systems biology approaches that study pathway dysregulation should offer benefits by integrating molecular networks and dynamic models with current biological knowledge for understanding disease heterogeneity and response to therapy. In MS, abnormalities have been identified in several cytokine-signaling pathways, as well as those of other immune receptors. Among the downstream molecules implicated are Jak/Stat, NF-Kb, ERK1/3, p38 or Jun/Fos. Together, these data suggest that MS is likely to be associated with abnormalities in apoptosis/cell death, microglia activation, blood-brain barrier functioning, immune responses, cytokine production, and/or oxidative stress, although which pathways contribute to the cascade of damage and can be modulated remains an open question. While current MS drugs target some of these pathways, others remain untouched. Here, we propose a pragmatic systems analysis approach that involves the large-scale extraction of processes and pathways relevant to MS. These data serve as a scaffold on which computational modeling can be performed to identify disease subgroups based on the contribution of different processes. Such an analysis, targeting these relevant MS-signaling pathways, offers the opportunity to accelerate the development of novel individual or combination therapies.

Soft Computing, 2014

In this paper, the Laplace transform formula on the fuzzy nth-order derivative by using the stron... more In this paper, the Laplace transform formula on the fuzzy nth-order derivative by using the strongly generalized differentiability concept is investigated. Also, the related theorems and properties are proved in detail and, it is used in an analytic method for fuzzy two order differential equation. The method is illustrated by solving some examples.

Information Sciences, 2009

In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformatio... more In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformation method(DTM). Intrinsically, DTM evaluates the approximating solution by the finite Taylor series. The differential transformation method does not evaluate the derivative symbolically; instead, it calculates the relative derivatives by an iteration procedure described by the transformed equations obtained from the original equations using differential transformation. The proposed method provides the Taylors series expansion solution for the domain between any adjacent grid points. Some numerical examples are given to illustrated the proposed extension of DTM to solve fuzzy Fredholm integral equations.

Information Sciences, 2009

In this paper the existence and uniqueness of solutions for second-order fuzzy differential equat... more In this paper the existence and uniqueness of solutions for second-order fuzzy differential equations with initial conditions under generalized H-differentiability is proved. To this end, the concept of second-order generalized differential equation is defined, which is based on an enlargement of the class of differentiable fuzzy mappings.

In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformatio... more In this paper, we are going to solve Fuzzy integral equations (FI)s by differential transformation method(DTM). Intrinsically, DTM evaluates the approximating solution by the finite Taylor series. The differential transformation method does not evaluate the derivative symbolically; instead, it calculates the relative derivatives by an iteration procedure described by the transformed equations obtained from the original equations using differential transformation.

The Journal of biological chemistry, Jan 5, 2011

RIG-I is a major innate immune sensor for viral infection, triggering an interferon (IFN)-mediate... more RIG-I is a major innate immune sensor for viral infection, triggering an interferon (IFN)-mediated antiviral response upon cytosolic detection of viral RNA. Double-strandedness and 5'-terminal triphosphates were identified as motifs required to elicit optimal immunological signaling. However, very little is known about the response dynamics of the RIG-I pathway, which is crucial for the ability of the cell to react to diverse classes of viral RNA while maintaining self-tolerance. In the present study, we addressed the molecular mechanism of RIG-I signal detection and its translation into pathway activation. By employing highly quantitative methods, we could establish the length of the double-stranded RNA (dsRNA) to be the most critical determinant of response strength. Size exclusion chromatography and direct visualization in scanning force microscopy suggested that this was due to cooperative oligomerization of RIG-I along dsRNA. The initiation efficiency of this oligomerizati...

Computational Mathematics and Modeling, 2008

In this paper, a fully fuzzy linear system (FFLS) is considered. By defuzzifying, the (n × n) FFL... more In this paper, a fully fuzzy linear system (FFLS) is considered. By defuzzifying, the (n × n) FFLS can be replaced by three (n × n) crisp linear systems, and consequently its homomorphic solution in canonical trapezoidal form based on three (n × n) crisp linear solutions associated with three parameters, value, ambiguity, and fuzziness, is calculated.

Multiple Sclerosis Journal, 2014

The pathogenesis of multiple sclerosis (MS) involves alterations to multiple pathways and process... more The pathogenesis of multiple sclerosis (MS) involves alterations to multiple pathways and processes, which represent a significant challenge for developing more-effective therapies. Systems biology approaches that study pathway dysregulation should offer benefits by integrating molecular networks and dynamic models with current biological knowledge for understanding disease heterogeneity and response to therapy. In MS, abnormalities have been identified in several cytokine-signaling pathways, as well as those of other immune receptors. Among the downstream molecules implicated are Jak/Stat, NF-Kb, ERK1/3, p38 or Jun/Fos. Together, these data suggest that MS is likely to be associated with abnormalities in apoptosis/cell death, microglia activation, blood-brain barrier functioning, immune responses, cytokine production, and/or oxidative stress, although which pathways contribute to the cascade of damage and can be modulated remains an open question. While current MS drugs target some of these pathways, others remain untouched. Here, we propose a pragmatic systems analysis approach that involves the large-scale extraction of processes and pathways relevant to MS. These data serve as a scaffold on which computational modeling can be performed to identify disease subgroups based on the contribution of different processes. Such an analysis, targeting these relevant MS-signaling pathways, offers the opportunity to accelerate the development of novel individual or combination therapies.